CiNii 図書 - In and out of equilibrium : probability with a physics flavor

This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom were personally responsible for advances in the various subfields of probability. Graduate students and researchers in probability theory and math physics will find this book a useful reference.

Van den Berg, J., Kesten, H.: Randomly Coalescing Random Walk in Dimension = 3 * Alexander, K.: The Single Droplet Theorem for Random Cluster Models * Bodineau, T.: Phase Coexistence for the Kac Ising Models * Lawler, G.F., Schramm, O., Werner, W.: Sharp Estimates for Brownian Non-intersection Probabilities * Liggett, T.M.: Tagged Particle Distributions or How to Choose a Head at Random * Camia, F., Newman, C.M., Sidoravicius, V.: Approach to Fixation for Zero-Temperature Stochastic Ising Models on the Hexagonal Lattice * Prahofer, M., Spohn, H.: Current Fluctuations for the Totally Asymmetric Simple Exclusion Process * Wuthrich, M.V.: Asymptotic Behaviour of Semi-Infinite Geodesics for Maximal Increasing Subsequences in the Plane * Toth, B., Werner, W.: Hydrodynamic Equation for a Deposition Model * Quastel, J.: Time Reversal of Degenerate Diffusions * Cancrini, N., Martinelli, F., Roberto, C.: Spectral Gap and Logarithmic Sobolev Constant of Kawasaki Dynamics Under a Mixing Condition Revisited * Grimmett, G., Hiemer, P.: Directed Percolation and Random Walk * Holroyd, A.E.: Entanglement and Rigidity In Percolation Models * Toom, A.: On Critical Values for Some Random Processes with Local Interaction in R^2 * Azais, J.-M., Wschebor, M.: The Distribution of the Maximum of a Gaussian Process: Rice Method Revisited * Lorinczi, J.: Gibbs Measures on Brownian Paths * Ueltschi, D.: Geometric and Probabilistic Aspects of Boson Lattice Models * Pfister, C.-E.: Thermodynamical Aspects of Classical Lattice Systems

巻冊次: 2 ISBN 9783764387853

内容説明

This volume celebrates the tenth edition of the Brazilian School of Probability (EBP), held at IMPA, Rio de Janeiro, from July 30 to August 4, 2006, jointly with the 69th Annual Meeting of the Institute of Mathematical Statistics. It was indeed an exceptional occasion for the local community working in this ?eld. The EBP, ?rst envisioned and organized in 1997, has since developed into an annual meeting with two or three advanced mini-courses and a high level conference. This volume grew up from invited or contributed articles by researchers that during the last ten yearshave been participating in the BrazilianSchool of Pro- bility. As a consequence, its content partially re?ects the topics that have pred- inated in the activities during the various editions of the School, with a strong - peal that comes from statistical mechanics and areasof concentrationthat include interacting particlesystems, percolation, random media anddisordered systems. All articles of this volume were peer-refereed.

Preface.- M. Abadi: Poisson Approximations via Chen-Stein for Non-Markov Processes.- E.D. Andjel, M. Sued: An Inequality for Oriented 2-D Percolation.- V. Beffara: Is Critical 2D Percolation Universal?.- G. Ben Arous et al.: A New REM Conjecture.- I. Benjamini et al.: The Biham-Middleton-Levine Traffic Model for a Single Junction.- J. van den Berg et al.: Box-Crossings and Continuity Results for Self-Destructive 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 Weighted-Serve-the-Longest-Queue 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: Space-Time Percolation.- O. Haggstroem: Computability of Percolation Thresholds.- A.E. Holroyd et al.: Chip-Firing and Rotor-Routing 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 One-dimensional Variant of Diffusion Limited Aggregation.- A. Le Ny: Gibbsian Description of Mean-Field Models.- V. Limic, P. Tarres: What is the Difference Between a Square and a Triangle?.- S.R.C. Lopes: Long-Range Dependence in Mean and Volatility: Models, Estimation and Forecasting.- J. Machta et al.: Percolation in the Sherrington-Kirkpatrick Spin Glass.- J. Quastel, B. Valko: A Note on the Diffusivity of Finite-RangeAsymmetric 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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In and out of equilibrium : probability with a physics flavor

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