Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:27.903390Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:27.903390Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 275cc21f-b7bd-40c8-a53d-c97ecc93737a · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The L1-Liouville property on graphs
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c8f9c179-620d-480b-a2b4-c9a71fcb7349 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Semilinear diffusion equations on infinite graphs: the dissipative and Lipschitz cases
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 370daed7-6c98-4642-af09-dc0d46de4382 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The fractional Porous Medium Equation on graphs
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8d739d5-7adb-4ca1-8a24-5b90218f6997 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ddb39ac5-c577-4e5c-b3a3-463a8879bbbc · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e1776ec3-8294-45a7-b20d-1c8378aef494 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b20a785e-1c36-4e8e-9ee6-dd954198b0e0 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs TheL∞-positivity preserving property and stochastic completeness
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 73875b84-cec9-4048-8a80-95035387a068 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a08fb862-0913-4340-8c22-4f675076f9a9 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Heat kernel bounds, conservation of probability and the Feller property
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5b066eb3-7e8e-47b6-8c96-2030cf793af0 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs V olume growth and stochastic completeness of graphs
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1b102aaf-e290-47aa-81c0-b907e20f74f3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8b7d347a-36d4-47ff-9565-1c4c0fb984be · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The conservation property of the heat equation on Riemannian manifolds
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fb3482a-1bed-4636-ace8-398b8c3f9ac7 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness andL1-Liouville property for second- order elliptic operators
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b3a20d89-775f-441d-9680-cc6338b99443 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ced293e5-466c-4384-bb15-2a3a2b4ec2e8 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Grigor’yan.Heat Kernel and Analysis on Manifolds
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6d4fac1-d7c6-4ca3-91cd-093fcab5d3fb · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastically complete manifolds
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 921d1e6e-ba58-4142-9d02-a8324e736f64 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Kazdan–Warner equation on graph
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b86ebc4c-c80e-4b1c-b828-fb8d9f6de423 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Yamabe type equations on graphs
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 378a88ec-6f76-4694-8a3c-45b08b271d7c · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Nonlinear characterizations of stochastic completeness
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 61377f90-13cb-467a-beea-04bdeeb24f30 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A general nonlinear characterization of stochastic incomplete- ness
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 037ee4f4-0ad4-4863-886b-ee2e660ddd5d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61457ee1-dfaf-42e0-be06-20ae83356342 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0137945-eaeb-49a8-96a7-e8795a209c6f · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Smoothing effects for the porous medium equation on Cartan–Hadamard manifolds
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e2812ba-b10a-40b2-8a1f-533744068827 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A porous medium equation with rough weights: sharp Widder theory
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 418e2a25-77a3-4417-b0db-8c5b5f8f998d · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Global properties of Dirichlet forms in terms of Green’s formula
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8365407a-e678-45e9-849e-08253ac48da2 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness for graphs with curvature dimension conditions
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 69bbdd5d-5b16-48e2-bc19-bd79a6380fc7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b36d1656-eb8b-4dca-8357-c65b6a1659d8 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic incompleteness for graphs and weak Omori–Yau maximum principle
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 21345df3-7e4d-4394-8a80-d051130a1e74 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs On the uniqueness class, stochastic completeness and volume growth for graphs
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a7c8fced-0715-476c-9cea-b99d7d23ae4b · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 52faf9f1-d687-411d-9438-2555ceea9167 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Singular extinction profiles of solutions to some fast diffusion equations
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8e6789f3-77e1-4756-a9d8-9f35dc93263d · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs The heat equation on complete Riemannian manifolds
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5e082569-b390-48f0-97fe-139d130b3442 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Dirichlet forms and stochastic completeness of graphs and subgraphs
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 673e2308-2e60-4bb0-abdf-1800b8eb8506 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Keller, D
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 795e4dfe-358b-46ff-a53f-5d9af0749375 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cccccac1-9f91-4dca-b2c0-4cedca61ddcb · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Porous medium equations with reactions on a metric graph
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fa555ebc-2402-45fd-a364-e2449df57563 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 753592f5-af68-4b94-8b57-7333c9aa49a4 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dcb46b7e-fe2e-4118-acb0-23ed1e06015d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bea7cb6c-3b5d-46fb-8ba5-04e026a55ff4 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Porous media equation on locally finite graphs
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db2a6c5f-7cb2-4dfc-8ca0-b34f0ef71734 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A generalized conservation property for the heat semigroup on weighted manifolds
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1beacb53-11fd-4af4-afcb-7245e4bee26e · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce520674-1ab4-410f-a0c2-7078c11bd9ff · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 98470db8-4a0e-41b5-8357-621c1431606f · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Parabolic theory of the discretep-Laplace operator
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e1f98ec-77ba-4253-8985-1a93037e0658 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ccc387a7-b60c-4f8a-b574-5f8b12f2eb92 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A remark on the maximum principle and stochastic completeness
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bfaeef11-3c5d-4c72-932d-ffd04c0fa4ae · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Pigola, M
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6c292933-00e9-4776-87fb-02675332aeb3 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c760644c-7542-45a1-82b6-ca79e66e37b9 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs A nonlinear characterization of stochastic completeness of graphs
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b925cfe3-59d6-493c-ad0b-e513576564ac · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c2c4481f-d75c-476a-9b46-6ce531d070ef · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d958cbf0-2530-4222-99e5-49719c072e89 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 09d9d9ee-d1ac-4cd2-a73b-7a371f60450d · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a45a2ea8-4191-4929-9725-3cda7c52e5c4 · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Stochastic completeness of graphs
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 70982a38-6f80-42f1-9404-11de1c85ede2 · outbound
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a537bfe6-a5d8-49ec-b3b4-8f9d4e7a24cf · outbound
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs Unresolved cited work
Reference 537
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
No inbound Pith citation observations are available.