3 citations · 4 across the 3 of their papers we have counts for
8 papers · 1 filter
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…
Laws of large numbers for weighted sums of independent random variables: a game of mass
Luca Avena, Conrado da Costa
We consider weighted sums of independent random variables regulated by an increment sequence. We provide operative conditions that ensure strong law of large numbers for such sums…
Loop-erased partitioning of a graph: mean-field analysis
Luca Avena, Alexandre Gaudilliere, Paolo Milanesi +1
We consider a random partition of the vertex set of an arbitrary graph that can be sampled using loop-erased random walks stopped at a random independent exponential time of parame…
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…
Random walks on dynamic configuration models: a trichotomy
Luca Avena, Hakan Guldas, Remco van der Hofstad +1
We consider a dynamic random graph on vertices that is obtained by starting from a random graph generated according to the configuration model with a prescribed degree sequence…
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…