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Paper Citation Record · LEDGER

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs

As of 21 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2608.11931.

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pith.paper-citation-record.v1
2608.11931 v1

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measured 56 of 56 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

56 of 56 outbound references displayed

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Outbound references

Observation 275cc21f-b7bd-40c8-a53d-c97ecc93737a · outbound

This paper cites The L1-Liouville property on graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The L1-Liouville property on graphs

Reference 1

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Observation c8f9c179-620d-480b-a2b4-c9a71fcb7349 · outbound

This paper cites Semilinear diffusion equations on infinite graphs: the dissipative and Lipschitz cases.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Semilinear diffusion equations on infinite graphs: the dissipative and Lipschitz cases

Reference 2

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Observation 370daed7-6c98-4642-af09-dc0d46de4382 · outbound

This paper cites The fractional Porous Medium Equation on graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The fractional Porous Medium Equation on graphs

Reference 3

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This paper cites The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation

Reference 4

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Observation ddb39ac5-c577-4e5c-b3a3-463a8879bbbc · outbound

This paper cites Laplacian cut-offs, porous and fast diffusion on manifolds and other applications.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Laplacian cut-offs, porous and fast diffusion on manifolds and other applications

Reference 5

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Observation e1776ec3-8294-45a7-b20d-1c8378aef494 · outbound

This paper cites The generalized porous medium equation on graphs: existence and uniqueness of solutions withℓ1 data.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The generalized porous medium equation on graphs: existence and uniqueness of solutions withℓ1 data

Reference 6

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Observation b20a785e-1c36-4e8e-9ee6-dd954198b0e0 · outbound

This paper cites TheL∞-positivity preserving property and stochastic completeness.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs TheL∞-positivity preserving property and stochastic completeness

Reference 7

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Observation 73875b84-cec9-4048-8a80-95035387a068 · outbound

This paper cites Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations

Reference 8

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Observation a08fb862-0913-4340-8c22-4f675076f9a9 · outbound

This paper cites Heat kernel bounds, conservation of probability and the Feller property.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Heat kernel bounds, conservation of probability and the Feller property

Reference 9

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This paper cites V olume growth and stochastic completeness of graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs V olume growth and stochastic completeness of graphs

Reference 10

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Observation 1b102aaf-e290-47aa-81c0-b907e20f74f3 · outbound

This paper cites Aronson-B´enilan gradient estimates for porous medium equations under lower bounds of N- weighted Ricci curvature with N <0.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Aronson-B´enilan gradient estimates for porous medium equations under lower bounds of N- weighted Ricci curvature with N <0

Reference 11

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Observation 8b7d347a-36d4-47ff-9565-1c4c0fb984be · outbound

This paper cites The conservation property of the heat equation on Riemannian manifolds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The conservation property of the heat equation on Riemannian manifolds

Reference 12

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Observation 6fb3482a-1bed-4636-ace8-398b8c3f9ac7 · outbound

This paper cites Stochastic completeness andL1-Liouville property for second- order elliptic operators.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness andL1-Liouville property for second- order elliptic operators

Reference 13

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Reference 14

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Grigor’yan.Heat Kernel and Analysis on Manifolds

Reference 15

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Observation c6d4fac1-d7c6-4ca3-91cd-093fcab5d3fb · outbound

This paper cites Stochastically complete manifolds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastically complete manifolds

Reference 16

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Observation 921d1e6e-ba58-4142-9d02-a8324e736f64 · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Kazdan–Warner equation on graph

Reference 17

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Observation b86ebc4c-c80e-4b1c-b828-fb8d9f6de423 · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Yamabe type equations on graphs

Reference 18

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Observation 378a88ec-6f76-4694-8a3c-45b08b271d7c · outbound

This paper cites Nonlinear characterizations of stochastic completeness.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Nonlinear characterizations of stochastic completeness

Reference 19

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Observation 61377f90-13cb-467a-beea-04bdeeb24f30 · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A general nonlinear characterization of stochastic incomplete- ness

Reference 20

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Observation 037ee4f4-0ad4-4863-886b-ee2e660ddd5d · outbound

This paper cites Blow-up and global existence for semilinear parabolic equations on infinite graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Blow-up and global existence for semilinear parabolic equations on infinite graphs

Reference 21

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Observation 61457ee1-dfaf-42e0-be06-20ae83356342 · outbound

This paper cites The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: a Green function approach

Reference 22

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This paper cites Smoothing effects for the porous medium equation on Cartan–Hadamard manifolds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Smoothing effects for the porous medium equation on Cartan–Hadamard manifolds

Reference 23

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Observation 4e2812ba-b10a-40b2-8a1f-533744068827 · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A porous medium equation with rough weights: sharp Widder theory

Reference 24

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Observation 418e2a25-77a3-4417-b0db-8c5b5f8f998d · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Global properties of Dirichlet forms in terms of Green’s formula

Reference 25

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness for graphs with curvature dimension conditions

Reference 26

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Observation 69bbdd5d-5b16-48e2-bc19-bd79a6380fc7 · outbound

This paper cites Time regularity and long-time behavior of parabolicp-Laplace equations on infinite graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Time regularity and long-time behavior of parabolicp-Laplace equations on infinite graphs

Reference 27

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Observation b36d1656-eb8b-4dca-8357-c65b6a1659d8 · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic incompleteness for graphs and weak Omori–Yau maximum principle

Reference 28

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Observation 21345df3-7e4d-4394-8a80-d051130a1e74 · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs On the uniqueness class, stochastic completeness and volume growth for graphs

Reference 29

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Extinction profiles for the Sobolev critical fast diffusion equation in bounded domains. I. One bubble dynamics

Reference 30

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Singular extinction profiles of solutions to some fast diffusion equations

Reference 31

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The heat equation on complete Riemannian manifolds

Reference 32

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Dirichlet forms and stochastic completeness of graphs and subgraphs

Reference 33

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Observation 673e2308-2e60-4bb0-abdf-1800b8eb8506 · outbound

This paper cites Keller, D.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Keller, D

Reference 34

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Observation 795e4dfe-358b-46ff-a53f-5d9af0749375 · outbound

This paper cites Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property

Reference 35

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Observation cccccac1-9f91-4dca-b2c0-4cedca61ddcb · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Porous medium equations with reactions on a metric graph

Reference 36

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This paper cites New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds

Reference 37

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Observation 753592f5-af68-4b94-8b57-7333c9aa49a4 · outbound

This paper cites Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Blow-up of nonnegative solutions of an abstract semilinear heat equation with convex source

Reference 38

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Observation dcb46b7e-fe2e-4118-acb0-23ed1e06015d · outbound

This paper cites The existence and nonexistence of global solutions for a semilinear heat equation on graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The existence and nonexistence of global solutions for a semilinear heat equation on graphs

Reference 39

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source=pdf_text observed=2026-08-16T00:39:27.842894Z digest=sha256:9e1243b5f3d9ede8a8b869d1b7ea12d0592f05e0feb586febcd4b9aed29b69cd

Observation bea7cb6c-3b5d-46fb-8ba5-04e026a55ff4 · outbound

This paper cites Porous media equation on locally finite graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Porous media equation on locally finite graphs

Reference 40

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source=pdf_text observed=2026-08-16T00:39:27.847293Z digest=sha256:2d656482721bd62742b65d5ca9f308b79d5071600130fad956d327196e6c8938

Observation db2a6c5f-7cb2-4dfc-8ca0-b34f0ef71734 · outbound

This paper cites A generalized conservation property for the heat semigroup on weighted manifolds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A generalized conservation property for the heat semigroup on weighted manifolds

Reference 41

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doi_truncated, observed 2026-08-16T00:39:28.036915Z

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Observation 1beacb53-11fd-4af4-afcb-7245e4bee26e · outbound

This paper cites Evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Evolution problems of Leray–Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces

Reference 42

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source=pdf_text observed=2026-08-16T00:39:27.854816Z digest=sha256:df20b9ce97ef51d80479b83ed8b0dccb59a953982c8b104d64fdc876d4b046aa

Observation ce520674-1ab4-410f-a0c2-7078c11bd9ff · outbound

This paper cites Nonexistence of solutions to parabolic problems with a potential on weighted graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Nonexistence of solutions to parabolic problems with a potential on weighted graphs

Reference 43

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Observation 98470db8-4a0e-41b5-8357-621c1431606f · outbound

This paper cites Parabolic theory of the discretep-Laplace operator.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Parabolic theory of the discretep-Laplace operator

Reference 44

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source=pdf_text observed=2026-08-16T00:39:27.861901Z digest=sha256:8743e7530ca766046d4a457476dc2feed06095628bed170fc049c2f97b45bedd

Observation 1e1f98ec-77ba-4253-8985-1a93037e0658 · outbound

This paper cites Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds

Reference 45

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source=pdf_text observed=2026-08-16T00:39:27.865172Z digest=sha256:2142e400f841be0310c16dd82daea1f259cd37dc2d344ab5541c4fb93b186b71

Observation ccc387a7-b60c-4f8a-b574-5f8b12f2eb92 · outbound

This paper cites A remark on the maximum principle and stochastic completeness.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A remark on the maximum principle and stochastic completeness

Reference 46

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source=pdf_text observed=2026-08-16T00:39:27.868500Z digest=sha256:41ed9da86f88461f43d6b041b2d7da84c4df8c2389562d06b0b1032933d53f98

Observation bfaeef11-3c5d-4c72-932d-ffd04c0fa4ae · outbound

This paper cites Pigola, M.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Pigola, M

Reference 47

Resolution
verified exact
doi, observed 2026-08-16T00:39:28.009058Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 6c292933-00e9-4776-87fb-02675332aeb3 · outbound

This paper cites On a semilinear parabolic equation with time-dependent source term on infinite graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs On a semilinear parabolic equation with time-dependent source term on infinite graphs

Reference 48

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source=pdf_text observed=2026-08-16T00:39:27.876101Z digest=sha256:b53c55d2de322e10b20bfa137a6c73ef6c377b2e4fa1a273ab4d3816471d1d42

Observation c760644c-7542-45a1-82b6-ca79e66e37b9 · outbound

This paper cites A nonlinear characterization of stochastic completeness of graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A nonlinear characterization of stochastic completeness of graphs

Reference 49

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source=pdf_text observed=2026-08-16T00:39:27.879709Z digest=sha256:f6a5cbe11d4e82726c1a0d4891797b1c673183c9c2f4d8ec536f92bc2ae2b77f

Observation b925cfe3-59d6-493c-ad0b-e513576564ac · outbound

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Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-16T00:39:27.883324Z digest=sha256:c1fbc8886193084d8fe829d28268c1b10cac482c08957d65eb1338516a332bde

Observation c2c4481f-d75c-476a-9b46-6ce531d070ef · outbound

This paper cites Some gradient estimates and Liouville properties of the fast diffusion equation on Riemannian manifolds.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Some gradient estimates and Liouville properties of the fast diffusion equation on Riemannian manifolds

Reference 51

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verified exact
doi, observed 2026-08-16T00:39:27.973197Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T00:39:27.887372Z digest=sha256:0ed86a5063b25ba372edb469a96e46e5245b6d7d374dcc288bfd7f3302f073ea

Observation d958cbf0-2530-4222-99e5-49719c072e89 · outbound

This paper cites Analysis of the physical Laplacian and the heat flow on a locally finite graph.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Analysis of the physical Laplacian and the heat flow on a locally finite graph

Reference 52

Resolution
verified exact
doi, observed 2026-08-16T00:39:27.961461Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T00:39:27.892083Z digest=sha256:91d5b4aa4087ad3d845434ecd21e2d2a066cd6a26f93545c267ec4779e9c96fa

Observation 09d9d9ee-d1ac-4cd2-a73b-7a371f60450d · outbound

This paper cites Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature

Reference 53

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source=pdf_text observed=2026-08-16T00:39:27.896396Z digest=sha256:264a8edb4ba246add37a539ce57f3e7547874d784d47abb4ec0fccabd91b9863

Observation a45a2ea8-4191-4929-9725-3cda7c52e5c4 · outbound

This paper cites Stochastic completeness of graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness of graphs

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:39:28.774884Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T00:39:27.899976Z digest=sha256:a87efe1931728773023542e6b36defcf689b81a25db2537937a418217272db8f

Observation 70982a38-6f80-42f1-9404-11de1c85ede2 · outbound

This paper cites Blow-up for a semilinear heat equation with Fujita’s critical exponent on locally finite graphs.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Blow-up for a semilinear heat equation with Fujita’s critical exponent on locally finite graphs

Reference 55

Resolution
verified exact
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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T00:39:27.903390Z digest=sha256:23e877150141d045a7195d6a0aa301f53104769ff0c399318b3e4e0a924833b8

Observation a537bfe6-a5d8-49ec-b3b4-8f9d4e7a24cf · outbound

This paper cites an unresolved cited work.

Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Unresolved cited work

Reference 537

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source=pdf_text observed=2026-08-16T00:39:27.751728Z digest=sha256:34d1ae9ef18b5c7b64e793a9945e3eea0dc3c7b1f391752e479f66f6ca61fabd

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