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Collision probabilities in the rarefaction fan of asymmetric exclusion processes
(INST MATHEMATICAL STATISTICS, 2009)
We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate p is an element of (1/2, 1.] and to the left at rate 1 - p, interacting by exclusion. In the initial ...
A PHASE TRANSITION FOR COMPETITION INTERFACES
(INST MATHEMATICAL STATISTICS, 2009)
We study the competition interface between two growing clusters in a growth model associated to last-passage percolation. When the initial unoccupied set is approximately a cone, we show that this interface has an asymptotic ...
TASEP hydrodynamics using microscopic characteristics
(Institute of Mathematical Statistics, 2018-01)
The convergence of the totally asymmetric simple exclusion process to the solution of the Burgers equation is a classical result. In his seminal 1981 paper, Herman Rost proved the convergence of the density fields and local ...
Ondas transicionales para un sistema de leyes de conservación de 2 x 2 con flujo cuadrático
(Universidad Nacional de TrujilloPE, 2018)
En este trabajo analizaremos una nueva clase de ondas fundamentales en las leyes
de conservación que no son estrictamente hiperbólicas. Estas ondas sirven como transiciones
entre grupos de ondas asociadas con familias ...
Exploring longitudinal and cross-sectional studies associating physical activity with intestinal microbiota changes
The current review aimed to elucidate the modulatory effects of physical activity and sports activities on the gastrointestinal microbiome. Twenty cross-sectional and longitudinal studies were analyzed, using metagenomic ...