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Authors: Jun Kigami
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Type: BOOK - Published: 2012-02-22 - Publisher: American Mathematical Soc.

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Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors o
Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates
Language: en
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Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance
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In this paper, time changes of the Brownian motions on generalized Sierpinski carpets including n-dimensional cube [0,1]n are studied. Intuitively time change c
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
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The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in
Operator Theory And Analysis Of Infinite Networks
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Type: BOOK - Published: 2023-03-21 - Publisher: World Scientific

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This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical proce