activity
20182026
most citedRandom walk in cooling random environment: ergodic limits and concentration inequalities

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2026

A cohesive account on the ergodic behaviours and scaling limits of Random Walks in Cooling Random Environments

Luca Avena, Conrado da Costa

Transport in disordered media is a central theme in probability and statistical physics, where randomness in the underlying medium produces phenomena such as localization, anomalou…

math.PR2024

Long-range one-dimensional internal diffusion-limited aggregation

Conrado da Costa, Debleena Thacker, Andrew Wade

We study internal diffusion limited aggregation on , where a cluster is grown incrementally by adding, for each random walk dispatched from the origin, the first site i…

math.PR2021

Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments

Luca Avena, Conrado da Costa, Jonathon Peterson

Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the entire environment is resampled along a fixed sequence of ti…

math.PR2019

Random walk in cooling random environment: recurrence versus transience and mixed fluctuations

Luca Avena, Yuki Chino, Conrado da Costa +1

This is the third in a series of papers in which we consider one-dimensional Random Walk in Cooling Random Environment (RWCRE). The latter is obtained by starting from one-dimensio…

math.PR2018★ 1 cited

Random walk in cooling random environment: ergodic limits and concentration inequalities

L. Avena, Y. Chino, C. da Costa +1

In previous work by Avena and den Hollander, a model of a one-dimensional random walk in a dynamic random environment was proposed where the random environment is resampled from a…