LDR 02768     2200337   4500
010    _a9783319031514
       _bbr.
011    _a0075-8434
090    _a15134
101    _aeng
102    _aCH
100    _a20150414              frey50       
200    _aRandom walks on disordered media and their scaling limits
       _bCONG
       _eécole d'été de probabilités de Saint-Flour XL - 2010
       _fTakashi Kumagai
210    _aCham
       _cSpringer
       _d2014
215    _a1 vol. (X-147 p.)
       _d24
225    _9179204
       _aLecture notes in mathematics
       _iécole d'été de probabilités de Saint-Flour
       _v2101
       _x0075-8434
300    _aPublisher’s description: In these lecture notes, we will analyze the behavior of random walk on disordered media by means of both probabilistic and analytic methods, and will study the scaling limits. We will focus on the discrete potential theory and how the theory is effectively used in the analysis of disordered media. The first few chapters of the notes can be used as an introduction to discrete potential theory.

Recently, there has been significant progress on the theory of random walk on disordered media such as fractals and random media. Random walk on a percolation cluster (‘the ant in the labyrinth’) is one of the typical examples. In 1986, H. Kesten showed the anomalous behavior of a random walk on a percolation cluster at critical probability. Partly motivated by this work, analysis and diffusion processes on fractals have been developed since the late eighties. As a result, various new methods have been produced to estimate heat kernels on disordered media. These developments are summarized in the notes (éditeur)
320    _aBibliogr. p. 135-143. Index
410    _9132706
       _aSpringer
       _tLecture notes in mathematics
       _v2101
       _x0075-8434
676    _a2010
686    _20
       _9165442
       _a60-06
       _bProbability theory and stochastic processes
       _xProceedings, conferences, collections, etc.
686    _20
       _9165501
       _a60G60
       _bProbability theory and stochastic processes -- Stochastic processes
       _xRandom fields
686    _20
       _9165496
       _a60G50
       _bProbability theory and stochastic processes -- Stochastic processes
       _xSums of independent random variables; random walks
686    _20
       _9161339
       _a05C81
       _bCombinatorics -- Graph theory
       _xRandom walks on graphs
686    _20
       _9163039
       _a31C20
       _bPotential theory -- Other generalizations
       _xDiscrete potential theory and numerical methods
701    _4070
       _aKumagai
       _bTakashi
       _f1967-
       _9181900
710    _4070
       _9167607
       _aécole d'été de probabilités de Saint-Flour
       _d40
       _eSaint-Flour, Cantal
       _f2010
856    _uhttp://www.ams.org/mathscinet-getitem?mr=3156983
       _zMathSciNet
905    _aaw
       _b2015
906    _aaw
       _b2015-04-14
995    _f12370-01
       _xachat Erasmus
       _918295
       _cCMI
       _20
       _kEcole STF
       _o0
       _eSalle S
       _z33.25
       _bCMI
001     15134
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