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Other titles in the Progress in Probability series:
Progress in Probability #60: In and Out of Equilibrium 2by Vladas Sidoravicius
Synopses & ReviewsPublisher Comments: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.
Synopsis: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 ContentsPreface. M. Abadi: Poisson Approximations via ChenStein for NonMarkov Processes. E.D. Andjel, M. Sued: An Inequality for Oriented 2D Percolation. V. Beffara: Is Critical 2D Percolation Universal?. G. Ben Arous et al.: A New REM Conjecture. I. Benjamini et al.: The BihamMiddletonLevine Traffic Model for a Single Junction. J. van den Berg et al.: BoxCrossings and Continuity Results for SelfDestructive Percolation in the Plane. N. Berger, O. Zeitouni: A Quenched Invariance Principle for Certain Ballistic Random Walks in i.i.d. Environments. J. Bertoin: Homogenenous Multitype Fragmentations. T.P. Cardoso, P. Guttorp: A Hierarchical Bayes Model for Combining Precipitation Measurements from Different Sources. A. Dembo, A.S. Sznitman: A Lower Bound on the Disconnection Time of a Discrete Cylinder. P. Dupuis et al.: On the Large Deviations Properties of the WeightedServetheLongestQueue Policy. A. Galves, F. Leonardi: Exponential Inequalities for Empirical Unbounded Context Trees. N.L. Garcia, T.G. Kurtz: Spatial Point Processes and the Projection Method. G.L. Gilardoni: An Improvement on Vajda's Inequality. G.R. Grimmett: SpaceTime Percolation. O. Häggström: Computability of Percolation Thresholds. A.E. Holroyd et al.: ChipFiring and RotorRouting on Directed Graphs. D. Ioffe, S. Shlosman: Ising Model Fog Drip: The First Two Droplets. I. Kaj, M.S. Taqqu: Convergence to Fractional Brownian Motion and to the Telecom Process: the Integral Representation Approach; H. Kesten, V. Sidoravicius: Positive Recurrence of a Onedimensional Variant of Diffusion Limited Aggregation. A. Le Ny: Gibbsian Description of MeanField Models. V. Limic, P. Tarrès: What is the Difference Between a Square and a Triangle?. S.R.C. Lopes: LongRange Dependence in Mean and Volatility: Models, Estimation and Forecasting. J. Machta et al.: Percolation in the SherringtonKirkpatrick Spin Glass. J. Quastel, B. Valkó: A Note on the Diffusivity of FiniteRange Asymmetric Exclusion Processes on Z. R.B. Schinazi: On the Role of Spatial Aggregation in the Extinction of a Species. M. Wschebor: Systems of Random Equations. A Review of Some Recent Results.
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