715 citations
- University of MichiganUS22 papers
- University of ChicagoUS21 papers
- University of California, BerkeleyUS18 papers
- University College LondonGB17 papers
- Argonne National LaboratoryUS16 papers
- Michigan State UniversityUS16 papers
- Fermi National Accelerator LaboratoryUS15 papers
- The Ohio State UniversityUS15 papers
- University of California, Santa BarbaraUS15 papers
- Texas A&M UniversityUS14 papers
- University of California San DiegoUS14 papers
- University of OxfordGB14 papers
16 papers · 1 filter
Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction
Mathew Joseph
We consider an i.i.d. random environment with a strong form of transience on the two dimensional integer lattice. Namely, the walk always moves forward in the y-direction. We prove…
Space-Time Current Process for Independent Random Walks in One Dimension
Rohini Kumar
In a system made up of independent random walks, fluctuations of order from the hydrodynamic limit come from particle current across characteristics. We show that a two-p…
Propagation of Fluctuations in Biochemical Systems, II: Nonlinear Chains
David F. Anderson, Jonathan C. Mattingly
We consider biochemical reaction chains and investigate how random external fluctuations, as characterized by variance and coefficient of variation, propagate down the chains. We p…
Corrections and acknowledgment for ``Local limit theory and large deviations for supercritical branching processes''
P. E. Ney, Anand N. Vidyashankar
Corrections and acknowledgment for ``Local limit theory and large deviations for supercritical branching processes'' [math.PR/0407059]
Random growth models with polygonal shapes
Janko Gravner, David Griffeath
We consider discrete-time random perturbations of monotone cellular automata (CA) in two dimensions. Under general conditions, we prove the existence of half-space velocities, and…
An almost sure invariance principle for random walks in a space-time random environment
F. Rassoul-Agha, T. Seppalainen
We consider a discrete time random walk in a space-time i.i.d. random environment. We use a martingale approach to show that the walk is diffusive in almost every fixed environment…