All Outputs (3)

Stochastic billiards with Markovian reflections in generalized parabolic domains (2023)
Journal Article
da Costa, C., Menshikov, M. V., & Wade, A. R. (2023). Stochastic billiards with Markovian reflections in generalized parabolic domains. Annals of Applied Probability, 33(6B), 5459-5496. https://doi.org/10.1214/23-AAP1952

We study recurrence and transience for a particle that moves at constant velocity in the interior of an unbounded planar domain, with random reflections at the boundary governed by a Markov kernel producing outgoing angles from incoming angles. Our d... Read More about Stochastic billiards with Markovian reflections in generalized parabolic domains.

Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments (2023)
Journal Article
Avena, L., Da Costa, C., & Peterson, J. (in press). Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques,

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 times, called the "cooling sequence", and is kept fixed in between those... Read More about Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments.

Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass (2023)
Journal Article
Avena, L., & da Costa, C. (2024). Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass. Journal of Theoretical Probability, 37(1), 81-120. https://doi.org/10.1007/s10959-023-01296-z

We consider weighted sums of independent random variables regulated by an increment sequence and provide operative conditions that ensure a strong law of large numbers for such sums in both the centred and non-centred case. The existing criteria for... Read More about Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass.