Davies-Gaffney-Grigor'yan lemma on simplicial complexes
Spectral Theory
2017-02-03 v1
Abstract
We prove Davies-Gaffney-Grigor'yan lemma for heat kernels of bounded discrete Hodge Laplacians on simplicial complexes.
Cite
@article{arxiv.1702.00529,
title = {Davies-Gaffney-Grigor'yan lemma on simplicial complexes},
author = {Bobo Hua and Xin Luo},
journal= {arXiv preprint arXiv:1702.00529},
year = {2017}
}
Related papers
View all related →
Differential Geometry · Mathematics
Sharp Davies-Gaffney-Grigor'yan Lemma on Graphs
Frank Bauer, Bobo Hua, Shing-Tung Yau
2016-04-08
Functional Analysis · Mathematics
The heat equation and independence of the spectrum of the Hodge Laplacian on $\ell^p$
Philipp Bartmann, Matthias Keller
2026-02-24
Differential Geometry · Mathematics
Davies-Gaffney-Grigor'yan Lemma on Graphs
Frank Bauer, Bobo Hua, Shing-Tung Yau
2015-11-30
Analysis of PDEs · Mathematics
Gaussian heat kernel upper bounds via Phragm\'en-Lindel\"of theorem
Thierry Coulhon, Adam Sikora
2014-02-26
Probability · Mathematics
Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation
Peng Chen, Renming Song, Longjie Xie, Yingchao Xie
2017-12-12
Analysis of PDEs · Mathematics
Off-diagonal upper heat kernel bounds on graphs with unbounded geometry
Christian Rose
2025-02-28
Analysis of PDEs · Mathematics
Exponential coordinates and regularity of groupoid heat kernels
Bing Kwan So
2012-10-18
Analysis of PDEs · Mathematics
Pointwise Lower Bounds on the Heat Kernels of Higher Order Schr\"odinger Operators
Narinder Claire
2010-01-11
Classical Analysis and ODEs · Mathematics
Gaussian bounds for the weighted heat kernels on the interval, ball and simplex
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
2018-01-24
Analysis of PDEs · Mathematics
Gaussian upper bounds for heat kernels on graphs with unbounded geometry
Matthias Keller, Christian Rose
2022-12-27
Analysis of PDEs · Mathematics
On gradient estimates for the heat kernel
Baptiste Devyver
2018-08-14
Quantitative Methods · Quantitative Biology
Discrete Heat Kernels on Simplicial Complexes and Its Application to Functional Brain Networks
Sixtus Dakurah
2025-12-23
Analysis of PDEs · Mathematics
Heat kernel gradient estimates for the Vicsek set
Fabrice Baudoin, Li Chen
2024-09-25
Spectral Theory · Mathematics
Heat kernel estimates for the $\bar\partial$-Neumann problem on $G$-manifolds
Joe J. Perez, Peter Stollmann
2012-05-29
Analysis of PDEs · Mathematics
Regularity for parabolic equations with singular non-zero divergence vector fields
Damir Kinzebulatov, Yuliy A. Semenov
2023-11-22
Analysis of PDEs · Mathematics
The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces
Jiaxin Hu, Xuliang Li
2017-04-06
Differential Geometry · Mathematics
Heat conservation for generalized Dirac Laplacians on manifolds with boundary
Levi Lopes de Lima
2017-12-19
Classical Analysis and ODEs · Mathematics
Gaussian bounds for the heat kernels on the ball and simplex: Classical approach
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
2018-01-24
Probability · Mathematics
Heat kernel upper bounds for symmetric Markov semigroups
Zhen-Qing Chen, Panki Kim, Takashi Kumagai, Jian Wang
2020-10-13
Analysis of PDEs · Mathematics
Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights
D. Kinzebulatov, Yu. A. Semenov, K. Szczypkowski
2020-08-11
Analysis of PDEs · Mathematics
On the heat kernel of the Rumin complex and Calder\'on reproducing formula
Paolo Ciatti, Bruno Franchi, Yannick Sire
2023-05-19
Analysis of PDEs · Mathematics
Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields
D. Kinzebulatov, Yu. A. Semenov
2021-07-14
Analysis of PDEs · Mathematics
The derivatives of the heat kernel on symmetric spaces
A. Fotiadis, E. Papageorgiou
2020-06-18
High Energy Physics - Theory · Physics
The Heat Kernel on $AdS$
Rajesh Gopakumar, Rajesh Kumar Gupta, Shailesh Lal
2015-05-27
Spectral Theory · Mathematics
Pointwise Lower bounds on the Heat Kernels of Uniformally Elliptic Operators in Bounded Regions
Narinder S Claire
2011-10-18