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On-diagonal lower estimate of heat kernels on graphs.

Authors :
Lin, Yong
Wu, Yiting
Source :
Journal of Mathematical Analysis & Applications. Dec2017, Vol. 456 Issue 2, p1040-1048. 9p.
Publication Year :
2017

Abstract

We establish a new on-diagonal lower estimate of continuous-time heat kernels for large time on graphs. To achieve the goal, we first introduce an upper estimate of heat kernels in natural graph metric, then use the upper estimate and the volume growth condition to show the validity of the on-diagonal lower estimate. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*GRAPH theory
*PATHS & cycles in graph theory
*CONTINUOUS time systems
*KERNEL functions
*METRIC system

Details

Language :
English
ISSN :
0022247X
Volume :
456
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
124723251
Full Text :
https://doi.org/10.1016/j.jmaa.2017.07.028
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