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_map"},{"source":"n16579","target":"n16574","type":"USES","label":"def:preBrownian"},{"source":"n16580","target":"n16350","type":"USES","label":"lem:centralMoment_two_mul_gaussianReal"},{"source":"n16580","target":"n16577","type":"USES","label":"lem:hasLaw_preBrownian_sub"},{"source":"n16581","target":"n16574","type":"USES","label":"def:preBrownian"},{"source":"n16581","target":"n16568","type":"USES","label":"lem:hasBoundedCoveringNumberCover_nnreal"},{"source":"n16581","target":"n16579","type":"USES","label":"lem:isKolmogorovProcess_preBrownian"},{"source":"n16581","target":"n16572","type":"USES","label":"thm:localized_holder_modification_sup"},{"source":"n16582","target":"n16403","type":"USES","label":"def:IsGaussianProcess"},{"source":"n16582","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16583","target":"n16404","type":"USES","label":"lem:isGaussianProcess_of_modification"},{"source":"n16583","target":"n16575","type":"USES","label":"lem:isGaussianProcess_preBrownian"},{"source":"n16584","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16585","target":"n16568","type":"USES","label":"lem:hasBoundedCoveringNumberCover_nnreal"},{"source":"n16585","target":"n16579","type":"USES","label":"lem:isKolmogorovProcess_preBrownian"},{"source":"n16585","target":"n16572","type":"USES","label":"thm:localized_holder_modification_sup"},{"source":"n16586","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16587","target":"n16584","type":"USES","label":"lem:isHolderWith_brownian"},{"source":"n16588","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16589","target":"n16420","type":"USES","label":"def:gaussianLimit"},{"source":"n16590","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16591","target":"n16577","type":"USES","label":"lem:hasLaw_preBrownian_sub"},{"source":"n16593","target":"n16592","type":"USES","label":"def:HasIndepIncrements"},{"source":"n16593","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16595","target":"n16581","type":"USES","label":"def:brownian"},{"source":"n16595","target":"n16420","type":"USES","label":"def:gaussianLimit"},{"source":"n16595","target":"n16586","type":"USES","label":"lem:continuous_brownian"},{"source":"n16598","target":"n16596","type":"USES","label":"thm:ContinuousMap.borel_eq_iSup_comap_eval"},{"source":"n16599","target":"n16598","type":"USES","label":"def:MeasurableEquiv.continuousMap"},{"source":"n16599","target":"n16595","type":"USES","label":"def:wienerMeasureAux"},{"source":"n16601","target":"n16600","type":"USES","label":"def:filtration"},{"source":"n16602","target":"n16600","type":"USES","label":"def:filtration"},{"source":"n16604","target":"n16603","type":"USES","label":"def:RightContinuous"},{"source":"n16605","target":"n16602","type":"USES","label":"def:IsStronglyProgressive"},{"source":"n16605","target":"n16603","type":"USES","label":"def:RightContinuous"},{"source":"n16605","target":"n16601","type":"USES","label":"def:adapted"},{"source":"n16607","target":"n16601","type":"USES","label":"def:adapted"},{"source":"n16608","target":"n16601","type":"USES","label":"def:adapted"},{"source":"n16609","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16611","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16611","target":"n16631","type":"USES","label":"def:stoppedProcess"},{"source":"n16613","target":"n16607","type":"USES","label":"def:Martingale"},{"source":"n16613","target":"n16601","type":"USES","label":"def:adapted"},{"source":"n16615","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16615","target":"n16601","type":"USES","label":"def:adapted"},{"source":"n16620","target":"n16617","type":"USES","label":"lem:conditional_jensen"},{"source":"n16621","target":"n16607","type":"USES","label":"def:Martingale"},{"source":"n16621","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16622","target":"n16617","type":"USES","label":"lem:conditional_jensen"},{"source":"n16623","target":"n16607","type":"USES","label":"def:Martingale"},{"source":"n16623","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16624","target":"n16619","type":"USES","label":"cor:norm_condExp_le"},{"source":"n16625","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16627","target":"n16600","type":"USES","label":"def:filtration"},{"source":"n16628","target":"n16627","type":"USES","label":"def:IsStoppingTime"},{"source":"n16628","target":"n16600","type":"USES","label":"def:filtration"},{"source":"n16629","target":"n16628","type":"USES","label":"def:StoppingTimeGen"},{"source":"n16632","target":"n16608","type":"USES","label":"def:Submartingale"},{"source":"n16632","target":"n16631","type":"USES","label":"def:stoppedProcess"},{"source":"n16636","target":"n16627","type":"USES","label":"def:IsStoppingTime"},{"source":"n16636","target":"n16635","type":"USES","label":"def:hitti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able"},{"source":"n17341","target":"n17307","type":"USES","label":"def:IsSquareIntegrable"},{"source":"n17342","target":"n17341","type":"USES","label":"def:L2Martingales"},{"source":"n17343","target":"n17318","type":"USES","label":"lem:IsSquareIntegrable.limitProcess_add"},{"source":"n17343","target":"n17310","type":"USES","label":"lem:IsSquareIntegrable.module"},{"source":"n17343","target":"n16745","type":"USES","label":"lem:limitProcess_congr"},{"source":"n17343","target":"n16749","type":"USES","label":"lem:limitProcess_smul"},{"source":"n17344","target":"n17341","type":"USES","label":"def:L2Martingales"},{"source":"n17344","target":"n16741","type":"USES","label":"def:limitProcess"},{"source":"n17345","target":"n17344","type":"USES","label":"def:L2Martingales.norm"},{"source":"n17346","target":"n17332","type":"USES","label":"lem:IsSquareIntegrable.sup_eLpNorm_eq_eLpNorm_limitProcess"},{"source":"n17347","target":"n17344","type":"USES","label":"def:L2Martingales.norm"},{"source":"n17348","target":"n17347","type":"USES","label":"def:L2Martingales.inner"},{"source":"n17348","target":"n17345","type":"USES","label":"lem:L2Martingales.norm_eq_zero"},{"source":"n17349","target":"n17342","type":"USES","label":"lem:L2Martingales.module"},{"source":"n17349","target":"n17144","type":"USES","label":"lem:exists_cadlag_mod_of_local_mg"},{"source":"n17350","target":"n17307","type":"USES","label":"def:IsSquareIntegrable"},{"source":"n17350","target":"n17058","type":"USES","label":"def:elemStochIntegralBilin"},{"source":"n17352","target":"n17307","type":"USES","label":"def:IsSquareIntegrable"},{"source":"n17352","target":"n17058","type":"USES","label":"def:elemStochIntegralBilin"},{"source":"n17353","target":"n17097","type":"USES","label":"lem:Martingale.elemStochIntegral"},{"source":"n17353","target":"n17077","type":"USES","label":"lem:cadlag_elemStochIntegralBilin"},{"source":"n17353","target":"n17350","type":"USES","label":"lem:eLpNorm_elemStochIntegralBilin_le"},{"source":"n17354","target":"n17341","type":"USES","label":"def:L2Martingales"},{"source":"n17355","target":"n17307","type":"USES","label":"def:IsSquareIntegrable"},{"source":"n17356","target":"n17336","type":"USES","label":"lem:IsSquareIntegrable.integral_iSup_norm_rpow_rpow_inv_le_limitProcess"},{"source":"n17357","target":"n17354","type":"USES","label":"def:continuousSquareIntegrable"},{"source":"n17358","target":"n17355","type":"USES","label":"lem:exists_subsequence_ae_tendsto_uniformly"},{"source":"n17359","target":"n17354","type":"USES","label":"def:continuousSquareIntegrable"},{"source":"n17359","target":"n17357","type":"USES","label":"lem:isClosed_continuousSquareIntegrable"},{"source":"n17360","target":"n17359","type":"USES","label":"def:continuousPartSquareIntegrable"},{"source":"n17361","target":"n17359","type":"USES","label":"def:continuousPartSquareIntegrable"},{"source":"n17362","target":"n17354","type":"USES","label":"def:continuousSquareIntegrable"},{"source":"n17363","target":"n17359","type":"USES","label":"def:continuousPartSquareIntegrable"},{"source":"n17364","target":"n17359","type":"USES","label":"def:continuousPartSquareIntegrable"},{"source":"n17365","target":"n17354","type":"USES","label":"def:continuousSquareIntegrable"},{"source":"n17366","target":"n17364","type":"USES","label":"def:discontinuousPart"},{"source":"n17366","target":"n17362","type":"USES","label":"lem:isSquareIntegrable_continuousPart"},{"source":"n17367","target":"n17354","type":"USES","label":"def:continuousSquareIntegrable"},{"source":"n17368","target":"n17340","type":"USES","label":"def:IsPurelyDiscontinuous"},{"source":"n17368","target":"n17367","type":"USES","label":"def:discontinuousSquareIntegrable"},{"source":"n17370","target":"n17340","type":"USES","label":"def:IsPurelyDiscontinuous"},{"source":"n17370","target":"n17364","type":"USES","label":"def:discontinuousPart"},{"source":"n17372","target":"n17359","type":"USES","label":"def:continuousPartSquareIntegrable"},{"source":"n17372","target":"n17364","type":"USES","label":"def:discontinuousPart"},{"source":"n17374","target":"n17340","type":"USES","label":"def:IsPurelyDiscontinuous"},{"source":"n17375","target":"n17330","type":"USES","label":"lem:IsSquareIntegrable.stoppedProcess"},{"source":"n17375","target":"n17324","type":"USES","label":"lem:condExp_limitProcess_stopped"},{"source":"n17375","target":"n16756","type":"USES","label":"lem:limitProcess_stoppedProcess"},{"source":"n17376","target":"n17359","type":"USES","label":"def:continuousPartSquareIntegrable"},{"source":"n17377","target":"n17374","type":"USES","label":"lem:IsPurelyDiscontinuous.stoppedProcess"},{"source":"n17377","target":"n17372","type":"USES","label":"lem:unique_continuousPart"},{"source":"n17378","target":"n17307","type":"USES","label":"def:IsSquareIntegrable"},{"source":"n17378","target":"n17058","type":"USES","label":"def:elemStochIntegralBilin"},{"source":"n17378","target":"n17352","type":"USES","label":"lem:isSquareIntegrable_elemStochIn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TimeTestFunction2"},{"source":"n37678","target":"n37981","type":"USES","label":"Pphi2-SpaceTime2"},{"source":"n37678","target":"n37970","type":"USES","label":"Pphi2-TestFunction2"},{"source":"n37678","target":"n37965","type":"USES","label":"Pphi2-compTimeReflection2"},{"source":"n37678","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37678","target":"n37599","type":"USES","label":"Pphi2-schwartzTranslate"},{"source":"n37679","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37679","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37679","target":"n37613","type":"USES","label":"Pphi2-EuclideanPlaneBackground-RealTestFunction"},{"source":"n37679","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37679","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37679","target":"n37969","type":"USES","label":"Pphi2-FieldConfig2"},{"source":"n37679","target":"n37966","type":"USES","label":"Pphi2-PositiveTimeTestFunction2"},{"source":"n37679","target":"n37981","type":"USES","label":"Pphi2-SpaceTime2"},{"source":"n37679","target":"n37970","type":"USES","label":"Pphi2-TestFunction2"},{"source":"n37679","target":"n37965","type":"USES","label":"Pphi2-compTimeReflection2"},{"source":"n37679","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37679","target":"n37599","type":"USES","label":"Pphi2-schwartzTranslate"},{"source":"n37680","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37680","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37680","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37680","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37680","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37680","target":"n37688","type":"USES","label":"Pphi2-latticeEmbedEval"},{"source":"n37680","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37681","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37681","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37681","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37681","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37682","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37682","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37682","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37682","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37682","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37682","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37682","target":"n37688","type":"USES","label":"Pphi2-latticeEmbedEval"},{"source":"n37682","target":"n37691","type":"USES","label":"Pphi2-physicalPosition"},{"source":"n37682","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37683","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37683","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37683","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37683","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37683","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37683","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37683","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37683","target":"n37666","type":"USES","label":"Pphi2-interactingLatticeMeasure"},{"source":"n37683","target":"n37698","type":"USES","label":"Pphi2-latticeEmbedLift"},{"source":"n37683","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37684","target":"n37685","type":"USES","label":"Pphi2-signedVal"},{"source":"n37686","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37686","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37686","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37686","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37686","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37686","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37686","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37686","target":"n37683","type":"USES","label":"Pphi2-continuumMeasure"},{"source":"n37686","target":"n37666","type":"USES","label":"Pphi2-interactingLatticeMeasure"},{"source":"n37686","target":"n37668","type":"USES","label":"Pphi2-interactingLatticeMeasure-isProbability"},{"source":"n37686","target":"n37698","type":"USES","label":"Pphi2-latticeEmbedLift"},{"source":"n37686","target":"n37687","type":"USES","label":"Pphi2-latticeEmbedLift-measurable"},{"source":"n37686","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37687","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37687","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37687","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37687","target":"n36995","type":"USES","label":"GaussianField-configuration-eval-measurable"},{"source":"n37687","target":"n37004","type":"USES","label":"GaussianField-configuration-measurable-of-eval-measurable"},{"source":"n37687","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37687","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37687","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37687","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37687","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37687","target":"n37698","type":"USES","label":"Pphi2-latticeEmbedLift"},{"source":"n37687","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37688","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37688","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37688","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37688","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37689","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37689","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37689","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37689","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37689","target":"n37681","type":"USES","label":"Pphi2-latticeTestField"},{"source":"n37690","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37690","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37690","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37690","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37690","target":"n37691","type":"USES","label":"Pphi2-physicalPosition"},{"source":"n37690","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37691","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37691","target":"n37685","type":"USES","label":"Pphi2-signedVal"},{"source":"n37692","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37692","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37692","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37692","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37692","target":"n37688","type":"USES","label":"Pphi2-latticeEmbedEval"},{"source":"n37693","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37693","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37693","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37693","target":"n37004","type":"USES","label":"GaussianField-configuration-measurable-of-eval-measurable"},{"source":"n37693","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37693","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37693","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37693","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37693","target":"n37690","type":"USES","label":"Pphi2-evalAtSite"},{"source":"n37693","target":"n37680","type":"USES","label":"Pphi2-latticeEmbed"},{"source":"n37693","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37694","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37694","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37694","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n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ymLatticeSites"},{"source":"n37831","target":"n38281","type":"USES","label":"Pphi2-SpatialField"},{"source":"n37831","target":"n37829","type":"USES","label":"Pphi2-sliceReindexMeasurableEquiv"},{"source":"n37832","target":"n38807","type":"USES","label":"GaussianHilbert-stdGaussianFin"},{"source":"n37832","target":"n38792","type":"USES","label":"GaussianHilbert-wienerChaosLE"},{"source":"n37832","target":"n38885","type":"USES","label":"Lattice-toSemilatticeInf"},{"source":"n37832","target":"n37450","type":"USES","label":"Pphi2-AsymCanonicalJoint"},{"source":"n37832","target":"n37465","type":"USES","label":"Pphi2-AsymCanonicalJointSumIndex"},{"source":"n37832","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n37832","target":"n37918","type":"USES","label":"Pphi2-ChaosTailBridge-chaosTailConstant"},{"source":"n37832","target":"n37484","type":"USES","label":"Pphi2-asymCanonicalJointMeasure"},{"source":"n37832","target":"n37845","type":"USES","label":"Pphi2-asymCanonicalJointMeasure-map-stdGaussian"},{"source":"n37832","target":"n37841","type":"USES","label":"Pphi2-asymCanonicalJointStdGaussianMeasurableEquiv"},{"source":"n37832","target":"n38129","type":"USES","label":"Pphi2-asymCanonicalRoughError"},{"source":"n37832","target":"n37836","type":"USES","label":"Pphi2-asymCanonicalRoughError-neg-tail-of-stdGaussian-explicit-ae"},{"source":"n37832","target":"n37834","type":"USES","label":"Pphi2-asymCanonicalRoughErrorStd"},{"source":"n37832","target":"n37846","type":"USES","label":"Pphi2-asymCanonicalRoughErrorStd-eq"},{"source":"n37832","target":"n37844","type":"USES","label":"Pphi2-asymCanonicalRoughErrorStd-mem-wienerChaosLE"},{"source":"n37832","target":"n38554","type":"USES","label":"Pphi2-asymRoughError-variance"},{"source":"n37833","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n37833","target":"n36949","type":"USES","label":"GaussianField-instFintypeAsymLatticeSitesOfNeZeroNat"},{"source":"n37833","target":"n37465","type":"USES","label":"Pphi2-AsymCanonicalJointSumIndex"},{"source":"n37833","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n37834","target":"n37465","type":"USES","label":"Pphi2-AsymCanonicalJointSumIndex"},{"source":"n37834","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n37834","target":"n37833","type":"USES","label":"Pphi2-asymCanonicalCrossTermStd"},{"source":"n37835","target":"n37465","type":"USES","label":"Pphi2-AsymCanonicalJointSumIndex"},{"source":"n37835","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n37835","target":"n37834","type":"USES","label":"Pphi2-asymCanonicalRoughErrorStd"},{"source":"n37836","target":"n38807","type":"USES","label":"GaussianHilbert-stdGaussianFin"},{"source":"n37836","target":"n38792","type":"USES","label":"GaussianHilbert-wienerChaosLE"},{"source":"n37836","target":"n37450","type":"USES","label":"Pphi2-AsymCanonicalJoint"},{"source":"n37836","target":"n37465","type":"USES","label":"Pphi2-AsymCanonicalJointSumIndex"},{"source":"n37836","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n37836","target":"n37915","type":"USES","label":"Pphi2-ChaosTailBridge-chaos-neg-tail-bound-explicit"},{"source":"n37836","target":"n37918","type":"USES","label":"Pphi2-ChaosTailBridge-chaosTailConstant"},{"source":"n37836","target":"n37484","type":"USES","label":"Pphi2-asymCanonicalJointMeasure"},{"source":"n37836","target":"n37845","type":"USES","label":"Pphi2-asymCanonicalJointMeasure-map-stdGaussian"},{"source":"n37836","target":"n37841","type":"USES","label":"Pphi2-asymCanonicalJointStdGaussianMeasurableEquiv"},{"source":"n37836","target":"n38129","type":"USES","label":"Pphi2-asymCanonicalRoughError"},{"source":"n37837","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n37837","target":"n36949","type":"USES","label":"GaussianField-instFintypeAsymLatticeSitesOfNeZeroNat"},{"source":"n37837","target":"n37450","type":"USES","label":"Pphi2-AsymCanonicalJoint"},{"source":"n37837","target":"n37465","type":"USES","label":"Pphi2-AsymCanonicalJointSumIndex"},{"source":"n37837","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n37837","target":"n38019","type":"USES","label":"Pphi2-asymCanonicalCrossTerm"},{"source":"n37837","target":"n37833","type":"USES","label":"Pphi2-asymCanonicalCrossTermStd"},{"source":"n37837","target":"n37841","type":"USES","label":"Pphi2-asymCanonicalJointStdGaussianMeasurableEquiv"},{"source":"n37837","target":"n37479","type":"USES","label":"Pphi2-asymCanonicalRoughFieldFunction"},{"source":"n37837","target":"n37513","type":"USES","label":"Pphi2-asymCanonicalRoughFieldFunction-congr-simp"},{"source":"n37837","target":"n38038","type":"USES","label":"Pphi2-asymCanonicalRoughWickConstant"},{"source":"n37837","target":"n37496","type":"USES","label":"Pphi2-asymCanonicalSmoothFieldFunction"},{"source":"n37837","target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atingFunctional"},{"source":"n37937","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37938","target":"n37975","type":"USES","label":"Pphi2-O2"},{"source":"n37938","target":"n37970","type":"USES","label":"Pphi2-TestFunction2"},{"source":"n37938","target":"n37942","type":"USES","label":"Pphi2-rotationCFDefect"},{"source":"n37939","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37939","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37939","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37939","target":"n37613","type":"USES","label":"Pphi2-EuclideanPlaneBackground-RealTestFunction"},{"source":"n37939","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37939","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37939","target":"n37969","type":"USES","label":"Pphi2-FieldConfig2"},{"source":"n37939","target":"n37975","type":"USES","label":"Pphi2-O2"},{"source":"n37939","target":"n37970","type":"USES","label":"Pphi2-TestFunction2"},{"source":"n37939","target":"n37683","type":"USES","label":"Pphi2-continuumMeasure"},{"source":"n37939","target":"n37686","type":"USES","label":"Pphi2-continuumMeasure-isProbability"},{"source":"n37939","target":"n37962","type":"USES","label":"Pphi2-euclideanAction2"},{"source":"n37939","target":"n37958","type":"USES","label":"Pphi2-plane2Background"},{"source":"n37939","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37939","target":"n37942","type":"USES","label":"Pphi2-rotationCFDefect"},{"source":"n37939","target":"n37934","type":"USES","label":"Pphi2-rotationCFPointwiseDefect"},{"source":"n37940","target":"n38885","type":"USES","label":"Lattice-toSemilatticeInf"},{"source":"n37941","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37941","target":"n37136","type":"USES","label":"GaussianField-FinLatticeField"},{"source":"n37941","target":"n36812","type":"USES","label":"GaussianField-FinLatticeSites"},{"source":"n37941","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37941","target":"n37195","type":"USES","label":"GaussianField-latticeTranslation"},{"source":"n37941","target":"n37666","type":"USES","label":"Pphi2-interactingLatticeMeasure"},{"source":"n37941","target":"n38270","type":"USES","label":"Pphi2-latticeConfigEuclideanTimeShift"},{"source":"n37941","target":"n38273","type":"USES","label":"Pphi2-latticeEuclideanTimeShift"},{"source":"n37941","target":"n37946","type":"USES","label":"Pphi2-latticeMeasure-translation-invariant"},{"source":"n37941","target":"n37955","type":"USES","label":"Pphi2-latticeTranslation"},{"source":"n37942","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37942","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37942","target":"n37975","type":"USES","label":"Pphi2-O2"},{"source":"n37942","target":"n37970","type":"USES","label":"Pphi2-TestFunction2"},{"source":"n37942","target":"n37683","type":"USES","label":"Pphi2-continuumMeasure"},{"source":"n37942","target":"n37962","type":"USES","label":"Pphi2-euclideanAction2"},{"source":"n37942","target":"n37765","type":"USES","label":"Pphi2-generatingFunctional"},{"source":"n37942","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37943","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n37943","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n37943","target":"n37578","type":"USES","label":"Pphi2-ContinuumTestFunction"},{"source":"n37943","target":"n37613","type":"USES","label":"Pphi2-EuclideanPlaneBackground-RealTestFunction"},{"source":"n37943","target":"n37589","type":"USES","label":"Pphi2-EuclideanPlaneBackground-SpaceTime"},{"source":"n37943","target":"n37583","type":"USES","label":"Pphi2-EuclideanPlaneBackground-dim"},{"source":"n37943","target":"n37969","type":"USES","label":"Pphi2-FieldConfig2"},{"source":"n37943","target":"n37679","type":"USES","label":"Pphi2-IsPphi2Limit"},{"source":"n37943","target":"n37966","type":"USES","label":"Pphi2-PositiveTimeTestFunction2"},{"source":"n37943","target":"n37976","type":"USES","label":"Pphi2-SchwartzMap-translate"},{"source":"n37943","target":"n37981","type":"USES","label":"Pphi2-SpaceTime2"},{"source":"n37943","target":"n37970","type":"USES","label":"Pphi2-TestFunction2"},{"source":"n37943","target":"n37965","type":"USES","label":"Pphi2-compTimeReflection2"},{"source":"n37943","target":"n37765","type":"USES","label":"Pphi2-generatingFunctional"},{"source":"n37943","target":"n37601","type":"USES","label":"Pphi2-planeBackground"},{"source":"n37943","target":"n37599","type":"USES","label":"Pphi2-schwartzTranslate"},{"source":"n3794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atticeTestFnIso"},{"source":"n38104","target":"n38114","type":"USES","label":"Pphi2-evalAsymTorusAtSiteGJ-apply"},{"source":"n38105","target":"n36942","type":"USES","label":"GaussianField-AsymLatticeField"},{"source":"n38105","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38105","target":"n36950","type":"USES","label":"GaussianField-AsymTorusTestFunction"},{"source":"n38105","target":"n36485","type":"USES","label":"GaussianField-asymLatticeDelta"},{"source":"n38105","target":"n36949","type":"USES","label":"GaussianField-instFintypeAsymLatticeSitesOfNeZeroNat"},{"source":"n38105","target":"n38108","type":"USES","label":"Pphi2-asymLatticeTestFnIso"},{"source":"n38106","target":"n36942","type":"USES","label":"GaussianField-AsymLatticeField"},{"source":"n38106","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38106","target":"n36950","type":"USES","label":"GaussianField-AsymTorusTestFunction"},{"source":"n38106","target":"n36998","type":"USES","label":"GaussianField-Configuration"},{"source":"n38106","target":"n36109","type":"USES","label":"GaussianField-NuclearTensorProduct-instAddCommGroup"},{"source":"n38106","target":"n36133","type":"USES","label":"GaussianField-NuclearTensorProduct-instContinuousSMulReal"},{"source":"n38106","target":"n36153","type":"USES","label":"GaussianField-NuclearTensorProduct-instIsTopologicalAddGroup"},{"source":"n38106","target":"n36093","type":"USES","label":"GaussianField-NuclearTensorProduct-instModuleReal"},{"source":"n38106","target":"n36111","type":"USES","label":"GaussianField-NuclearTensorProduct-instTopologicalSpace"},{"source":"n38106","target":"n36241","type":"USES","label":"GaussianField-SmoothMap-Circle"},{"source":"n38106","target":"n36485","type":"USES","label":"GaussianField-asymLatticeDelta"},{"source":"n38106","target":"n36949","type":"USES","label":"GaussianField-instFintypeAsymLatticeSitesOfNeZeroNat"},{"source":"n38106","target":"n38108","type":"USES","label":"Pphi2-asymLatticeTestFnIso"},{"source":"n38106","target":"n38105","type":"USES","label":"Pphi2-asymLatticeTestFnIso-expand"},{"source":"n38106","target":"n38109","type":"USES","label":"Pphi2-asymTorusEmbedLiftIso"},{"source":"n38106","target":"n38103","type":"USES","label":"Pphi2-evalAsymTorusAtSiteGJ"},{"source":"n38107","target":"n36942","type":"USES","label":"GaussianField-AsymLatticeField"},{"source":"n38107","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38107","target":"n36950","type":"USES","label":"GaussianField-AsymTorusTestFunction"},{"source":"n38107","target":"n36109","type":"USES","label":"GaussianField-NuclearTensorProduct-instAddCommGroup"},{"source":"n38107","target":"n36093","type":"USES","label":"GaussianField-NuclearTensorProduct-instModuleReal"},{"source":"n38107","target":"n36111","type":"USES","label":"GaussianField-NuclearTensorProduct-instTopologicalSpace"},{"source":"n38107","target":"n36241","type":"USES","label":"GaussianField-SmoothMap-Circle"},{"source":"n38107","target":"n36996","type":"USES","label":"GaussianField-covariance"},{"source":"n38107","target":"n36437","type":"USES","label":"GaussianField-ell2-"},{"source":"n38107","target":"n36953","type":"USES","label":"GaussianField-evalAsymTorusAtSite"},{"source":"n38107","target":"n36502","type":"USES","label":"GaussianField-lattice-green-tendsto-continuum-asym"},{"source":"n38107","target":"n36491","type":"USES","label":"GaussianField-latticeCovarianceAsymGJ"},{"source":"n38107","target":"n36479","type":"USES","label":"GaussianField-spectralLatticeCovarianceAsym"},{"source":"n38107","target":"n38108","type":"USES","label":"Pphi2-asymLatticeTestFnIso"},{"source":"n38107","target":"n38225","type":"USES","label":"Pphi2-asymTorusContinuumGreen"},{"source":"n38107","target":"n38104","type":"USES","label":"Pphi2-second-moment-asym-eq-spectral"},{"source":"n38108","target":"n36942","type":"USES","label":"GaussianField-AsymLatticeField"},{"source":"n38108","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38108","target":"n36950","type":"USES","label":"GaussianField-AsymTorusTestFunction"},{"source":"n38108","target":"n36109","type":"USES","label":"GaussianField-NuclearTensorProduct-instAddCommGroup"},{"source":"n38108","target":"n36093","type":"USES","label":"GaussianField-NuclearTensorProduct-instModuleReal"},{"source":"n38108","target":"n36111","type":"USES","label":"GaussianField-NuclearTensorProduct-instTopologicalSpace"},{"source":"n38108","target":"n36241","type":"USES","label":"GaussianField-SmoothMap-Circle"},{"source":"n38108","target":"n38103","type":"USES","label":"Pphi2-evalAsymTorusAtSiteGJ"},{"source":"n38109","target":"n36942","type":"USES","label":"GaussianField-AsymLatticeField"},{"source":"n38109","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38109","target":"n36950","type":"USES","label":"GaussianField-AsymTorusTestFunction"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oothMap-Circle"},{"source":"n38551","target":"n37238","type":"USES","label":"GaussianField-TorusTestFunction"},{"source":"n38551","target":"n36072","type":"USES","label":"GaussianField-circleSpacing"},{"source":"n38551","target":"n36071","type":"USES","label":"GaussianField-circleSpacing-pos"},{"source":"n38551","target":"n36995","type":"USES","label":"GaussianField-configuration-eval-measurable"},{"source":"n38551","target":"n37231","type":"USES","label":"GaussianField-configuration-tight-of-uniform-second-moments"},{"source":"n38551","target":"n36437","type":"USES","label":"GaussianField-ell2-"},{"source":"n38551","target":"n36447","type":"USES","label":"GaussianField-ell2-separableSpace"},{"source":"n38551","target":"n37135","type":"USES","label":"GaussianField-finLatticeField-dyninMityaginSpace"},{"source":"n38551","target":"n36997","type":"USES","label":"GaussianField-instMeasurableSpaceConfiguration"},{"source":"n38551","target":"n36589","type":"USES","label":"GaussianField-latticeCovarianceGJ"},{"source":"n38551","target":"n36584","type":"USES","label":"GaussianField-latticeGaussianMeasure"},{"source":"n38551","target":"n37002","type":"USES","label":"GaussianField-measure"},{"source":"n38551","target":"n36919","type":"USES","label":"GaussianField-pairing-memLp"},{"source":"n38551","target":"n38259","type":"USES","label":"Pphi2-latticeTestFn"},{"source":"n38551","target":"n38550","type":"USES","label":"Pphi2-torus-second-moment-uniform"},{"source":"n38551","target":"n38658","type":"USES","label":"Pphi2-torusContinuumMeasure"},{"source":"n38551","target":"n38653","type":"USES","label":"Pphi2-torusContinuumMeasure-isProbability"},{"source":"n38551","target":"n38656","type":"USES","label":"Pphi2-torusEmbedLift"},{"source":"n38551","target":"n38265","type":"USES","label":"Pphi2-torusEmbedLift-eval-eq"},{"source":"n38551","target":"n38654","type":"USES","label":"Pphi2-torusEmbedLift-measurable"},{"source":"n38552","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38552","target":"n36949","type":"USES","label":"GaussianField-instFintypeAsymLatticeSitesOfNeZeroNat"},{"source":"n38552","target":"n37450","type":"USES","label":"Pphi2-AsymCanonicalJoint"},{"source":"n38552","target":"n38019","type":"USES","label":"Pphi2-asymCanonicalCrossTerm"},{"source":"n38552","target":"n38129","type":"USES","label":"Pphi2-asymCanonicalRoughError"},{"source":"n38552","target":"n38553","type":"USES","label":"Pphi2-asymCanonicalRoughError-pointwise-decomposition"},{"source":"n38552","target":"n37479","type":"USES","label":"Pphi2-asymCanonicalRoughFieldFunction"},{"source":"n38552","target":"n38038","type":"USES","label":"Pphi2-asymCanonicalRoughWickConstant"},{"source":"n38552","target":"n37496","type":"USES","label":"Pphi2-asymCanonicalSmoothFieldFunction"},{"source":"n38552","target":"n38131","type":"USES","label":"Pphi2-asymSmoothWickConstant"},{"source":"n38552","target":"n38086","type":"USES","label":"Pphi2-wickMonomial"},{"source":"n38553","target":"n36951","type":"USES","label":"GaussianField-AsymLatticeSites"},{"source":"n38553","target":"n36949","type":"USES","label":"GaussianField-instFintypeAsymLatticeSitesOfNeZeroNat"},{"source":"n38553","target":"n37450","type":"USES","label":"Pphi2-AsymCanonicalJoint"},{"source":"n38553","target":"n38127","type":"USES","label":"Pphi2-asymCanonicalFullInteractionJoint"},{"source":"n38553","target":"n38129","type":"USES","label":"Pphi2-asymCanonicalRoughError"},{"source":"n38553","target":"n37479","type":"USES","label":"Pphi2-asymCanonicalRoughFieldFunction"},{"source":"n38553","target":"n38038","type":"USES","label":"Pphi2-asymCanonicalRoughWickConstant"},{"source":"n38553","target":"n37496","type":"USES","label":"Pphi2-asymCanonicalSmoothFieldFunction"},{"source":"n38553","target":"n38133","type":"USES","label":"Pphi2-asymCanonicalSmoothInteraction"},{"source":"n38553","target":"n37481","type":"USES","label":"Pphi2-asymCanonicalSumFieldFunction"},{"source":"n38553","target":"n38131","type":"USES","label":"Pphi2-asymSmoothWickConstant"},{"source":"n38553","target":"n38526","type":"USES","label":"Pphi2-wickConstantAsym"},{"source":"n38553","target":"n38086","type":"USES","label":"Pphi2-wickMonomial"},{"source":"n38553","target":"n38091","type":"USES","label":"Pphi2-wickPolynomial"},{"source":"n38553","target":"n38294","type":"USES","label":"Pphi2-wickPolynomial-add-sub-self"},{"source":"n38554","target":"n38885","type":"USES","label":"Lattice-toSemilatticeInf"},{"source":"n38554","target":"n37450","type":"USES","label":"Pphi2-AsymCanonicalJoint"},{"source":"n38554","target":"n37515","type":"USES","label":"Pphi2-AsymCanonicalMode"},{"source":"n38554","target":"n38019","type":"USES","label":"Pphi2-asymCanonicalCrossTerm"},{"source":"n38554","target":"n38030","type":"USES","label":"Pphi2-asymCanonicalCrossTerm-l2-sq-le"},{"source":"n38554","target":"n37484","type":"USES","label":"Pphi2-asymCanonicalJointMeasure"},{"source":"n38554","target":"n38129",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