3 papers
math.PR2026
Slot decomposition of continuous Box-Ball Systems
Inés Armendáriz, Pablo Blanc, Pablo A. Ferrari +1
We study a piecewise constant function with a finite number of discontinuities in any interval. We assume that the associated walk $ξ:\mathbb R\to\mathbb R…
math.PR2023
Fluid limit for the coarsening phase of the condensing zero-range process
Inés Armendáriz, Johel Beltrán, Daniela Cuesta +1
We prove a fluid limit for the coarsening phase of the condensing zero-range process on a finite number of sites. When time and occupation per site are linearly rescaled by the tot…
math.PR2010
Brownian coagulation and a version of Smoluchowski's equation on the circle
Inés Armendáriz
We introduce a one-dimensional stochastic system where particles perform independent diffusions and interact through pairwise coagulation events, which occur at a nontrivial rate u…