Topics in Percolative and Disordered Systems

ISBN-13: 9781493944774 / Angielski / Miękka / 2016 / 171 str.

Alejandro Ramirez; Gerard Ben Arous; Pablo a. Ferrari

Opis

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), 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.

Spis treści

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.

O autorze

Alejandro F. Ramírez, Pontificia Universidad Católica de Chile

Gerard Ben Arous, Courant Institute, New York University

Pablo Ferrari, Universidad de Buenos Aires, Argentina

Charles M. Newman, Courant Institute, New York University

Vladas Sidoravicius, Instituto Nacional de Matemática Pura e Aplicada, Brazil 

Maria Eulalia Vares, Centro Brasileiro de Pesquisas Físicas, Brazil

Blurb

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.​