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9783764387853

In and Out of Equilbrium 2

by ;
  • ISBN13:

    9783764387853

  • ISBN10:

    3764387858

  • Format: Hardcover
  • Copyright: 2008-10-04
  • Publisher: Birkhauser

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Summary

The intersection of probability and physics has been a rich and explosive area of growth in the past three decades, specifically covering such subjects as percolation theory, random walks in random environment, disordered systems, interacting particle systems and their many connections to statistical mechanics. The last decade was particularly fruitful for all these topics. This book reflects this development and marks also the first decade of the Brazilian School of Probability. This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom have been personally responsible for advances in the various subfields of probability.

Table of Contents

Prefacep. ix
Poisson Approximations via Chen-Stein for Non-Markov Processesp. 1
An Inequality for Oriented 2-D Percolationp. 21
Is Critical 2D Percolation Universal?p. 31
A New REM Conjecturep. 59
The Biham-Middleton-Levine Traffic Model for a Single Junctionp. 97
Box-Crossings and Continuity Results for Self-Destructive Percolation in the Planep. 117
A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environmentsp. 137
Homogeneous Multitype Fragmentationsp. 161
A Hierarchical Bayes Model for Combining Precipitation Measurements from Different Sourcesp. 185
A Lower Bound on the Disconnection Time of a Discrete Cylinderp. 211
On the Large Deviations Properties of the Weighted-Serve-the-Longest-Queue Policyp. 229
Exponential Inequalities for Empirical Unbounded Context Treesp. 257
Spatial Point Processes and the Projection Methodp. 271
An Improvement on Vajda's Inequalityp. 299
Space-Time Percolationp. 305
Computability of Percolation Thresholdsp. 321
Chip-Firing and Rotor-Routing on Directed Graphsp. 331
Ising Model Fog Drip: The First Two Dropletsp. 365
Convergence to Fractional Brownian Motion and to the Telecom Process: the Integral Representation Approachp. 383
Positive Recurrence of a One-dimensional Variant of Diffusion Limited Aggregationp. 429
Gibbsian Description of Mean-Field Modelsp. 463
What is the Difference Between a Square and a Triangle?p. 481
Long-Range Dependence in Mean and Volatility: Models, Estimation and Forecastingp. 497
Percolation in the Sherrington-Kirkpatrick Spin Glassp. 527
A Note on the Diffusivity of Finite-Range Asymmetric Exclusion Processes on Zp. 543
On the Role of Spatial Aggregation in the Extinction of a Speciesp. 551
Systems of Random Equations. A Review of Some Recent Resultsp. 559
Table of Contents provided by Ingram. All Rights Reserved.

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