308 citations
- Centre National de la Recherche ScientifiqueFR7 papers
- Instituto de Pesquisas Jardim Botânico do Rio de JaneiroBR7 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR5 papers
- Université de Rouen NormandieFR5 papers
- Universidade Federal FluminenseBR4 papers
- University of Illinois Urbana-ChampaignUS4 papers
- Institut National des Sciences Appliquées Rouen NormandieFR3 papers
- Universidad de MurciaES3 papers
- Centrum Wiskunde & InformaticaNL2 papers
- Cornell UniversityUS2 papers
- Courant Institute of Mathematical SciencesUS2 papers
- Département de mathématiques et applicationsFR2 papers
5 papers · 2 filters
Metastability of reversible finite state Markov processes
Johel Beltran, Claudio Landim
We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable…
On the coalescence time of reversible random walks
Roberto Imbuzeiro Oliveira
Consider a system of coalescing random walks where each individual performs random walk over a finite graph G, or (more generally) evolves according to some reversible Markov chain…
A note on fluctuations for internal diffusion limited aggregation
Amine Asselah, Alexandre Gaudilliere
We consider a cluster growth model on Z^d, called internal diffusion limited aggregation (internal DLA). In this model, random walks start at the origin, one at a time, and stop mo…
Sums of random Hermitian matrices and an inequality by Rudelson
Roberto Imbuzeiro Oliveira
We give a new, elementary proof of a key inequality used by Rudelson in the derivation of his well-known bound for random sums of rank-one operators. Our approach is based on Ahlsw…
A sharper threshold for bootstrap percolation in two dimensions
Janko Gravner, Alexander E. Holroyd, Robert Morris
Two-dimensional bootstrap percolation is a cellular automaton in which sites become 'infected' by contact with two or more already infected nearest neighbors. We consider these dyn…