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
- Institut National des Sciences Appliquées Rouen NormandieFR3 papers
- University of Illinois Urbana-ChampaignUS3 papers
- Centrum Wiskunde & InformaticaNL2 papers
- Cornell UniversityUS2 papers
- Département de mathématiques et applicationsFR2 papers
- École Normale Supérieure de LyonFR2 papers
- École Normale Supérieure - PSLFR2 papers
5 papers · 2 filters
Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
Milton D. Jara
We prove an invariance principle for a tagged particle in a simple exclusion process out of equilibrium. The scaling limit is a time-inhomogeneous process of independent increments…
On the convergence to equilibrium of Kac's random walk on matrices
Roberto Imbuzeiro Oliveira
We consider Kac's random walk on -dimensional rotation matrices, where each step is a random rotation in the plane generated by two randomly picked coordinates. We show that thi…
Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
M. D. Jara, C. Landim, S. Sethuraman
We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the ta…
Scaling limits for gradient systems in random environment
P. Goncalves, M. D. Jara
For interacting particle systems that satisfies the gradient condition, the hydrodynamic limit and the equilibrium fluctuations are well known. We prove that under the presence of…
On a randomized PNG model with a columnar defect
Vincent Beffara, Vladas Sidoravicius, Maria Eulalia Vares
We study a variant of poly-nuclear growth where the level boundaries perform continuous-time, discrete-space random walks, and study how its asymptotic behavior is affected by the…