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Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates - 9780821852996

Un libro in lingua di Jun Kigami edito da Amer Mathematical Society, 2012

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Kigami (informatics, Kyoto U., Japan) investigates how to find a better metric than space to describe asymptotic behavior by stochastic processes associated with Dirichlet forms derived from resistance forms. First he looks at how to find a metric suitable for describing asymptotic behavior in the heat kernels associated with such processes, and finds resolution in a volume doubling property with respect to the resistance metric associated with a resistance form. Then he considers what kinds of requirements for jumps of a process are necessary to ensure good asymptotic behaviors of these heat kernels. For that, he proposes a condition called annulus comparable condition, which he shows to be equivalent to the existence of a good diagonal heat kernel estimate. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

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