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Heat Kernel Estimates for Random Walks with Killing on Transient Graphs — arXiv:2610.19285

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.19285
License (as archived): CC0-1.0
Archived: 2026-10-15T21:52:16.940Z
SHA-256 of the archived text: 1a8443b895c9adb521170f9e06eb6f750c48b13d072390e6b4941a6b34ab0de9
Stable URL of this page: https://metraipolis.com/documento/dc_3cdf41cd9948

How to cite

Heat Kernel Estimates for Random Walks with Killing on Transient Graphs — arXiv:2610.19285 — arXiv (en), https://arxiv.org/abs/2610.19285 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_3cdf41cd9948 (Metraipolis archive dc_3cdf41cd9948, sha256 1a8443b895c9adb521170f9e06eb6f750c48b13d072390e6b4941a6b34ab0de9)

BibTeX

@misc{dc3cdf41cd9948,
  title = {Heat Kernel Estimates for Random Walks with Killing on Transient Graphs — arXiv:2610.19285},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.19285},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_3cdf41cd9948; sha256 1a8443b895c9adb521170f9e06eb6f750c48b13d072390e6b4941a6b34ab0de9},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.19285. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We give matching two-sided estimates for heat kernels obtained from Schrödinger operators $\Delta+W$ on weighted graphs. The graphs we consider are transient and admit two-sided sub-Gaussian heat kernel estimates for the Laplacian $\Delta$, and the potentials $W$ decay to zero at infinity. We offer two proofs for one of our main results: one using the Feynman-Kac formula, and one without using it. Our results apply to fractal-type graphs such as graphical Sierpinski carpets, among other examples.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.PR, nuovi lavori del giorno).
Categorie arXiv: Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2610.19285 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-15T21:36:44.505Z dalla pagina https://arxiv.org/list/math.PR/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).