4 papers
A class of Markov processes with resetting and applications to cybersecurity
Giorgia Callegaro, Umut Ãetin, Bernardo D'Auria
We introduce a class of piecewise deterministic Markov processes with resetting, motivated by self-exciting models of cyber attacks. Under assumptions reminiscent of ruin theory, w…
Mean field games with option to buy information
Bernardo D'Auria, Markus Fischer
We introduce a class of continuous time finite horizon mean field games where the objective function of the representative player depends on a hidden state, in addition to position…
Robust Ergodic Control of Jump-Diffusion Systems under Drift and Intensity Uncertainty
Abel Azze, Bernardo D'Auria, Giorgio Ferrari
We study a regulation problem for stochastic systems subject to both continuous fluctuations and rare but significant shocks, modeled as a jump-diffusion with uncertainty in both t…
Modelling a storage system of a wind farm with a ramp-rate limitation: a semi-Markov modulated Brownian bridge approach
Abel Azze, Guglielmo D'Amico, Bernardo D'Auria +1
We propose a new methodology to simulate the discounted penalty applied to a wind-farm operator by violating ramp-rate limitation policies. It is assumed that the operator manages…