Luisa Andreis

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20172021

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Showing math.PRShow all

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math.PR2021

Large deviations for Markov jump processes with uniformly diminishing rates

Andrea Agazzi, Luisa Andreis, Robert I. A. Patterson +1

We prove a large-deviation principle (LDP) for the sample paths of jump Markov processes in the small noise limit when, possibly, all the jump rates vanish uniformly, but slowly en…

math.PR2019

A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph

Luisa Andreis, Wolfgang König, Robert I. A. Patterson

Let $G (N, \frac{1}{N} t_{N})$ be the Erdős-Rényi graph with connection probability $\frac{1}{N} t_{N} \sim t / N$ as $N \to \infty$ for a fixed $t \in (0, \infty)$ . We derive a large-deviatio…

math.PR2017

Ergodicity of a system of interacting random walks with asymmetric interaction

Luisa Andreis, Amine Asselah, Paolo Dai Pra

We study N interacting random walks on the positive integers. Each particle has drift δ towards infinity, a reflection at the origin, and a drift towards particles with lower posit…