Martin T. Barlow – författare
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5 produkter
5 produkter
Del 438 - London Mathematical Society Lecture Note Series
Random Walks and Heat Kernels on Graphs
Häftad, Engelska, 2017
832 kr
Skickas inom 7-10 vardagar
This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that are stable under these transformations. Applications include the 'type problem': determining whether a graph is transient or recurrent. The final chapters show how geometric properties of the graph can be used to establish heat kernel bounds, that is, bounds on the transition probabilities of the random walk, and it is proved that Gaussian bounds hold for graphs that are roughly isometric to Euclidean space. Aimed at graduate students in mathematics, the book is also useful for researchers as a reference for results that are hard to find elsewhere.
Del 304 - Springer Proceedings in Mathematics & Statistics
Random Graphs, Phase Transitions, and the Gaussian Free Field
PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5–30, 2017
Inbunden, Engelska, 2019
1 926 kr
Skickas inom 10-15 vardagar
The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures.The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research:Scaling limits of random trees and random graphs (Christina Goldschmidt)Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin)Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup)Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.
Del 304 - Springer Proceedings in Mathematics & Statistics
Random Graphs, Phase Transitions, and the Gaussian Free Field
PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5–30, 2017
Häftad, Engelska, 2021
1 926 kr
Skickas inom 10-15 vardagar
The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures.The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research:Scaling limits of random trees and random graphs (Christina Goldschmidt)Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin)Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup)Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.
Del 1690 - Lecture Notes in Mathematics
Lectures on Probability Theory and Statistics
Ecole d'Ete de Probabilites de Saint-Flour XXV - 1995
Häftad, Engelska, 1998
538 kr
Skickas inom 5-8 vardagar
This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th - 26th July, 1995. These lectures are at a postgraduate research level. They are works of reference in their domain.
Del 34 - Mathematical Society Of Japan Memoirs
Discrete Geometric Analysis
Häftad, Engelska, 2016
341 kr
Tillfälligt slut
This is a volume of lecture notes based on three series of lectures given by visiting professors of RIMS, Kyoto University during the year-long project "Discrete Geometric Analysis", which took place in the Japanese academic year 2012-2013. The aim of the project was to make comprehensive research on topics related to discreteness in geometry, analysis and optimization.Discrete geometric analysis is a hybrid field of several traditional disciplines, including graph theory, geometry, discrete group theory, and probability. The name of the area was coined by Toshikazu Sunada, and since being introduced, it has been extending and making new interactions with many other fields.This volume consists of three chapters: (I) Loop Erased Walks and Uniform Spanning Trees, by Martin T Barlow; (II) Combinatorial Rigidity: Graphs and Matroids in the Theory of Rigid Frameworks, by Tibor Jordán; (III) Analysis and Geometry on Groups, by Andrzej Zuk.The lecture notes are useful surveys that provide an introduction to the history and recent progress in the areas covered. They will also help researchers who work in related interdisciplinary fields to gain an understanding of the material from the viewpoint of discrete geometric analysis.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets