Books written by Yuval Peres

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  Fractals in Probability and Analysis

  Mitchell, Joseph S.B. 1999. Guillotine subdivisions approximate polygonal subdivisions: a simple polynomial-time approximation scheme for geometric TSP, kMST, and related problems. SIAM J. Comput., 28(4), 1298–1309 (electronic).

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  Markov Chains and Mixing Times

  This book is an introduction to the modern approach to the theory of Markov chains.

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  Markov Chains and Mixing Times: Second Edition

  This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry.

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  Game Theory, Alive

  The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject.

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  Zeros of Gaussian Analytic Functions and Determinantal Point Processes

  Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients.

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  Fractals in Probability and Analysis

  A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

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  Brownian Motion

  Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability.

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  A Power Law of Order 1/4 for Critical Mean Field Swendsen-Wang Dynamics

  ... Electronic Prepress Department, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA ... using graphics packages for the creation of electronic art should also avoid the use of any lines thinner than 0.5 ...