Pith. sign in

REVIEW 1 cited by

Sticky Brownian motions on star graphs

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2311.07521 v1 pith:3RHO6CDB submitted 2023-11-13 math.PR math.AP

Stefano Bonaccorsi , Mirko D'Ovidio This is my paper · ORCID
classification math.PRmath.AP
keywords graphstargraphsmeasurenon-localprocessesapplyingbrownian
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

This paper is concerned with the construction of several stochastic processes in a star graph, that is a non-euclidean structure where some features of the classical modelling fail. We propose a model for trapping phenomena with characterization of the traps in terms of a singular measure. This measure also defines a non-local operator by means of which we introduce a non-local dynamic condition for the parabolic problem on the star graph. We study semi-Markov processes on the rays of the graph in order to obtain a probabilistic representation of the motion on the whole graph. Extensions to general graph structures can be given by applying our results on star graphs.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Faber-Krahn inequality for the heat content on quantum graphs via random walk expansion

    math.SP 2025-01 conditional novelty 7.0 of 10

    On metric graphs with one absorbing point, the path graph maximizes heat content at sufficiently small and sufficiently large times.

Pith tools