Recent progress on the random conductance model
M Biskup - 2011 - projecteuclid.org
Recent progress on the understanding of the Random Conductance Model is reviewed and
commented. A particular emphasis is on the results on the scaling limit of the random walk …
commented. A particular emphasis is on the results on the scaling limit of the random walk …
Random walks in random environments
O Zeitouni - Journal of Physics A: Mathematical and General, 2006 - iopscience.iop.org
Random walks in random environments and their diffusion analogues have been a source
of surprising phenomena and challenging problems, especially in the non-reversible …
of surprising phenomena and challenging problems, especially in the non-reversible …
[图书][B] What is percolation?
G Grimmett, G Grimmett - 1999 - Springer
Suppose we immerse a large porous stone in a bucket of water. What is the probability that
the centre of the stone is wetted? In formulating a simple stochastic model for such a …
the centre of the stone is wetted? In formulating a simple stochastic model for such a …
[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] Large scale dynamics of interacting particles
H Spohn - 2012 - books.google.com
This book deals with one of the fundamental problems of nonequilibrium statistical
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …
[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] Multiscale methods: averaging and homogenization
GA Pavliotis, A Stuart - 2008 - books.google.com
Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scienti? c disciplines and a resurgence of …
provoking a blurring of boundaries between scienti? c disciplines and a resurgence of …
[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 …
[PDF][PDF] Random walks in random environment
O Zeitouni - Lecture notes in Mathematics, 2004 - academia.edu
These notes on random walks in random environments (RWRE) reflect what I hoped to
cover in the 15 hours of the St Flour course on this topic, July 9–25, 2001. Of course, this …
cover in the 15 hours of the St Flour course on this topic, July 9–25, 2001. Of course, this …
[PDF][PDF] Breakdown of the Stokes-Einstein relation in supercooled liquids
G Tarjus, D Kivelson - Journal of Chemical Physics, 1995 - academia.edu
The Stokes–Einstein and Stokes–Einstein–Debye relations hold well in nonsupercooled
liquids; however, sizeable deviations from the former appear in supercooled liquids, leading …
liquids; however, sizeable deviations from the former appear in supercooled liquids, leading …