2.4k citations
- California Institute of TechnologyUS769 papers
- Texas A&M UniversityUS719 papers
- University of California, Los AngelesUS719 papers
- The Ohio State UniversityUS690 papers
- Fermi National Accelerator LaboratoryUS679 papers
- Centre National de la Recherche ScientifiqueFR677 papers
- Purdue University West LafayetteUS655 papers
- Massachusetts Institute of TechnologyUS647 papers
- Johns Hopkins UniversityUS641 papers
- University of California, Santa BarbaraUS641 papers
- Rutgers, The State University of New JerseyUS620 papers
- University of FloridaUS619 papers
4 papers · 2 filters
Asymptotics in ASEP with Step Initial Condition
Craig A. Tracy, Harold Widom
In previous work the authors considered the asymmetric simple exclusion process on the integer lattice in the case of step initial condition, particles beginning at the positive in…
Local Bootstrap Percolation
Janko Gravner, Alexander E. Holroyd
We study a variant of bootstrap percolation in which growth is restricted to a single active cluster. Initially there is a single active site at the origin, while other sites of Z^…
Spectral gap for the interchange process in a box
Ben Morris
We show that the spectral gap for the interchange process (and the symmetric exclusion process) in a -dimensional box of side length is asymptotic to . This gives m…
A Fredholm Determinant Representation in ASEP
Craig A. Tracy, Harold Widom
In previous work the authors found integral formulas for probabilities in the asymmetric simple exclusion process (ASEP) on the integer lattice. The dynamics are uniquely determine…