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Statistics - Physical & Information Science | Topics in Percolative and Disordered Systems

Topics in Percolative and Disordered Systems

Ramirez, A., Ben Arous, G., Ferrari, P.A., Newman, C.M., Sidoravicius, V., Vares, M.E. (Eds.)

2014, XI, 171 p. 21 illus., 13 illus. in color.

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  • ​​​Provides crucial introduction to rapidly developing, high-impact parts of probability theory and statistical physics
  • Explains important aspects of most recent work that has not been well explained in previous research papers​
  • Basis is in collaborations among mathematicians, physicists and advanced students from Latin America, North America and beyond
This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), spin glasses, random walks in random environment, and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.​

Content Level » Research

Keywords » Coarsening behavior - Computational methods - Disorder & Percolation - KPZ universality class - Probability Theory - Random media - Scaling limit stochastic Ising model - Statistical Physics

Related subjects » Physical & Information Science - Probability Theory and Stochastic Processes - Statistical Theory and Methods - Statistics

Table of contents 

Two ways to solve ASEP.- Coarsening in 2d slabs.- Selected topics in RWRE.- The scaling limit for zero temperature planar Ising droplets: with and without magnetic fields.- Airy processes and variational problems.

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