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

DOI10.1090/memo/1250zbMath1448.60003OpenAlexW2937345962MaRDI QIDQ5383922

Jun Kigami

Publication date: 20 June 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/1250

zbMATH Keywords

Brownian motionGreen functionsSierpinski gaskets

Mathematics Subject Classification ID

Brownian motion (60J65) Transition functions, generators and resolvents (60J35) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (6)

Upper estimates of heat kernels for non-local Dirichlet forms on doubling spaces ⋮ Geodesic metrics on fractals and applications to heat kernel estimates ⋮ Density of states for the Anderson model on nested fractals ⋮ On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions ⋮ Geometry of self-similar measures on intervals with overlaps and applications to sub-Gaussian heat kernel estimates ⋮ Gromov hyperbolic graphs arising from iterations

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