Resistance Forms Quasisymmetric Maps and Heat Kernel Estimates is popular PDF and ePub book, written by Jun Kigami in 2012-02-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Resistance Forms Quasisymmetric Maps and Heat Kernel Estimates can be Read Online from any device for your convenience.
Resistance Forms Quasisymmetric Maps and Heat Kernel Estimates Book PDF Summary
Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.
Detail Book of Resistance Forms Quasisymmetric Maps and Heat Kernel Estimates PDF
- Author : Jun Kigami
- Release : 22 February 2012
- Publisher : American Mathematical Soc.
- ISBN : 9780821852996
- Genre : Mathematics
- Total Page : 145 pages
- Language : English
- PDF File Size : 19,8 Mb
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