3 papers
math.PR2025
Sprinkled Decoupling for Hammersley's Process
Leandro P. R. Pimentel, Roberto Viveros
In this article we prove a sprinkled decoupling inequality for the stationary Hammersley's interacting particle process. Inspired by the work of Baldasso and Texeira (2018), and Hi…
math.PR2020
Directed Polymer for very heavy tailed random walks
Roberto Viveros
In the present work, we investigate the case of Directed Polymer in a Random Environment (DPRE), when the increments of the random walk are heavy-tailed with tail-exponent equal to…
math.PR2019
Directed polymer in -stable Random Environments
Roberto Viveros
The transition from a weak-disorder (diffusive phase) to a strong-disorder (localized phase) for directed polymers in a random environment is a well studied phenomenon. In the most…