[图书][B] Scaling limits of interacting particle systems
C Kipnis, C Landim - 2013 - books.google.com
The idea of writing up a book on the hydrodynamic behavior of interacting particle systems
was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the …
was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the …
[图书][B] Stochastic interacting systems: contact, voter and exclusion processes
TM Liggett - 2013 - books.google.com
Interactive Particle Systems is a branch of Probability Theory with close connections to
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …
[图书][B] Hydrodynamic limits of the Boltzmann equation
L Saint-Raymond - 2009 - books.google.com
The aim of this book is to present some mathematical results describing the transition from
kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to …
kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to …
[图书][B] Fluctuations in Markov processes: time symmetry and martingale approximation
The present volume contains the most advanced theories on the martingale approach to
central limit theorems. Using the time symmetry properties of the Markov processes, the …
central limit theorems. Using the time symmetry properties of the Markov processes, the …
[图书][B] Mathematical theory of nonequilibrium steady states: on the frontier of probability and dynamical systems
DQ Jiang, D Jiang - 2004 - books.google.com
The title of this book already says something about its contents and historical origin, but
since it is meant in a rigorous mathematical context, a few words of explanation may be …
since it is meant in a rigorous mathematical context, a few words of explanation may be …
Gaussian Fluctuations for the Stochastic Burgers Equation in Dimension
The goal of the present paper is to establish a framework which allows to rigorously
determine the large-scale Gaussian fluctuations for a class of singular SPDEs at and above …
determine the large-scale Gaussian fluctuations for a class of singular SPDEs at and above …
Diffusive limit of a tagged particle in asymmetric simple exclusion processes
S Sethuraman, SRS Varadhan… - Communications on Pure …, 2000 - Wiley Online Library
Invariance principles are proved under diffusive scaling for the centered position of a tagged
particle in the simple exclusion process with asymmetric nonzero drift jump probabilities in …
particle in the simple exclusion process with asymmetric nonzero drift jump probabilities in …
Law of the Two Dimensional Asymmetric Simple Exclusion Process
HT Yau - Annals of mathematics, 2004 - JSTOR
<tex-math>$(\text{log}\ t)^{2/3}$</tex-math> Law of the Two Dimensional Asymmetric Simple
Exclusion Process Page 1 Annals of Mathematics, 159 (2004), 377-405 (log t)2/3 law of the two …
Exclusion Process Page 1 Annals of Mathematics, 159 (2004), 377-405 (log t)2/3 law of the two …
Superdiffusivity of asymmetric exclusion process in dimensions one and two
Superdiffusivity of Asymmetric Exclusion Process in Dimensions One and Two Page 1 Digital
Object Identifier (DOI) 10.1007/s00220-003-1020-4 Commun. Math. Phys. 244, 455–481 …
Object Identifier (DOI) 10.1007/s00220-003-1020-4 Commun. Math. Phys. 244, 455–481 …
Convection–diffusion equation with space–time ergodic random flow
We prove the homogenization of convection-diffusion in a time-dependent, ergodic,
incompressible random flow which has a bounded stream matrix and a constant mean drift …
incompressible random flow which has a bounded stream matrix and a constant mean drift …