We prove that for Bernoulli percolation on Zd, d (greater than or equal to) 2, the percolation density is an analytic function of the parameter in the supercritical interval. For this we introduce some techniques that have further implications. In p...Loe edasi...
The Airy line ensemble is a positive-integer indexed system of random continuous curves whose finite dimensional distributions are given by the multi-line Airy process. It is a natural object in the KPZ universality class: for example, its highest c...Loe edasi...
Michael Damron, Firas Rassoul-Agha, Timo Seppalainen
Sari: Proceedings of Symposia in Applied Mathematics
(Ilmumisaeg: 30-Nov-2018, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470435530)
Six papers written for the January 2017 course offered during the AMS Joint Mathematics Meetings showcase recent breakthroughs in a class of stochastic growth models called first- and last-passage percolation and their relations to particle syste...Loe edasi...
Celebrating the 50th anniversary of one of the most classical models in probability theory, Aufflinger, Damron, and Hanson describe the main results of first-passage percolation, paying special attention to the recent burst of developments. They...Loe edasi...
(Ilmumisaeg: 01-Oct-2015, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470422486)
Editors Sidoravicius and Smirnov present readers with a collection of scholarly papers selected from materials presented at a conference on probability and statistical physics held at St. Petersburg St. University in Russia in June of 2012. The contr...Loe edasi...
Seven lectures delve into recent results in the two areas of mathematics. They cover Schramm-Loewner evolution and other conformally invariant objects, noise sensitivity and percolation, scaling limits of random trees and planar maps, the conformal i...Loe edasi...
The school is designed to introduce young researchers to current topics in mathematical physics that involve the analytical setting and a dose of physical intuition. Nine lectures consider such topics as kinetic theory and the Kac master equation, ma...Loe edasi...
