45 citations · 115 across the 24 of their papers we have counts for
26 papers
A universality property for large deviations of RWRE close to the axis
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We establish a general version of the strong KPZ universality conjecture near the axis for random walks in a random environment (RWRE) on . For an i.i.d. elliptic ran…
GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We introduce a variation of the classic ballistic deposition model in which vertically falling blocks can only stick to the top or the upper right corner of growing columns. We est…
Large deviations at the origin of random walk in random environment
Alexander Drewitz, Alejandro F. Ramírez, Santiago Saglietti +1
We consider a random walk in an i.i.d. random environment on Zd and study properties of its large deviation rate function at the origin. It was proved by Comets, Gantert and Zeitou…
A non-oriented first passage percolation model and statistical invariance by time reversal
Alejandro F. Ramírez, Santiago Saglietti, Lingyun Shao
We introduce and study a non-oriented first passage percolation model having a property of statistical invariance by time reversal. This model is defined in a graph having directed…
Cyclic products and optimal traps in cyclic birth and death chains
Mark Holmes, Alexander E. Holroyd, Alejandro Ramírez
A birth-death chain is a discrete-time Markov chain on the integers whose transition probabilities are non-zero if and only if . We consider birth-death chains w…
Balanced Excited Random Walk in Two Dimensions
Omer Angel, Mark Holmes, Alejandro Ramírez
We give non-trivial upper and lower bounds on the range of the so-called Balanced Excited Random Walk in two dimensions, and verify a conjecture of Benjamini, Kozma and Schapira. T…