Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate

Mathematische Annalen ◽

10.1007/s00208-007-0169-0 ◽

2007 ◽

Vol 340 (4) ◽

pp. 781-804 ◽

Author(s):

Jun Kigami

Keyword(s):

Heat Kernel ◽

Riemannian Geometry ◽

Sierpinski Gasket ◽

Kernel Estimate ◽

Sierpiński Gasket ◽

Heat Kernel Estimate

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Resolvent metric and the heat kernel estimate for random walks

Stochastic Processes and their Applications ◽

10.1016/j.spa.2014.07.012 ◽

2014 ◽

Vol 124 (12) ◽

pp. 3965-3985

Author(s):

András Telcs ◽

Vincenzo Vespri

Keyword(s):

Random Walks ◽

Heat Kernel ◽

Kernel Estimate ◽

Heat Kernel Estimate

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Heat Kernel Asymptotics for the Measurable Riemannian Structure on the Sierpinski Gasket

Potential Analysis ◽

10.1007/s11118-011-9221-5 ◽

2011 ◽

Vol 36 (1) ◽

pp. 67-115 ◽

Author(s):

Naotaka Kajino

Keyword(s):

Heat Kernel ◽

Sierpinski Gasket ◽

Riemannian Structure ◽

Sierpiński Gasket ◽

Heat Kernel Asymptotics

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Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance

Memoirs of the American Mathematical Society ◽

10.1090/memo/1250 ◽

2019 ◽

Vol 259 (1250) ◽

pp. 0-0

Author(s):

Jun Kigami

Keyword(s):

Brownian Motion ◽

Heat Kernel ◽

Poincaré Inequality ◽

Kernel Estimate ◽

Poincare Inequality ◽

Heat Kernel Estimate ◽

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On Li-Yau Heat Kernel Estimate

Acta Mathematica Sinica English Series ◽

10.1007/s10114-021-0588-y ◽

2021 ◽

Vol 37 (8) ◽

pp. 1205-1218

Author(s):

Lu Li ◽

Zhen Lei Zhang

Keyword(s):

Heat Kernel ◽

Kernel Estimate ◽

Heat Kernel Estimate

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A Sobolev Inequality and Neumann Heat Kernel Estimate for Unbounded Domains

Mathematical Research Letters ◽

10.4310/mrl.1994.v1.n2.a5 ◽

1994 ◽

Vol 1 (2) ◽

pp. 177-184 ◽

Author(s):

Z. Q. Chen ◽

R. J. Williams ◽

Z. Zhao

Keyword(s):

Heat Kernel ◽

Sobolev Inequality ◽

Unbounded Domains ◽

Kernel Estimate ◽

Heat Kernel Estimate ◽

Neumann Heat Kernel

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Calculus on the Sierpinski gasket II: Point singularities, eigenfunctions, and normal derivatives of the heat kernel

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-06-04056-6 ◽

2006 ◽

Vol 358 (9) ◽

pp. 3883-3936 ◽

Author(s):

Nitsan Ben-Gal ◽

Abby Shaw-Krauss ◽

Robert S. Strichartz ◽

Clint Young

Keyword(s):

Heat Kernel ◽

Sierpinski Gasket ◽

Sierpiński Gasket ◽

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Discrete version of Dungey’s proof for the gradient heat kernel estimate on coverings

Annales mathématiques Blaise Pascal ◽

10.5802/ambp.229 ◽

2007 ◽

Vol 14 (1) ◽

pp. 93-102 ◽

Author(s):

Satoshi Ishiwata

Keyword(s):

Heat Kernel ◽

Discrete Version ◽

Kernel Estimate ◽

Heat Kernel Estimate

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Global heat kernel estimate for relativistic stable processes in exterior open sets

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.04.012 ◽

2012 ◽

Vol 263 (2) ◽

pp. 448-475 ◽

Author(s):

Zhen-Qing Chen ◽

Panki Kim ◽

Renming Song

Keyword(s):

Heat Kernel ◽

Stable Processes ◽

Kernel Estimate ◽

Heat Kernel Estimate

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Dimer Coverings on the Sierpinski Gasket

Journal of Statistical Physics ◽

10.1007/s10955-008-9516-0 ◽

2008 ◽

Vol 131 (4) ◽

pp. 631-650 ◽

Author(s):

Shu-Chiuan Chang ◽

Lung-Chi Chen

Keyword(s):

Sierpinski Gasket ◽

Sierpiński Gasket

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Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-021-09392-4 ◽

2021 ◽

Vol 24 (3) ◽

Author(s):

Joe P. Chen ◽

Patrícia Gonçalves

Keyword(s):

Asymptotic Behavior ◽

Sierpinski Gasket ◽

Exclusion Process ◽

Sierpiński Gasket

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