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20172024
most citedFractional Ornstein-Uhlenbeck process with stochastic forcing and its applications

22 citations · 51 across the 20 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.AP2022

Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications

Giacomo Ascione, József Lőrinczi

In a first part of this paper we investigate the continuity (stability) of the spectrum of a class of non-local Schrödinger operators on varying the potentials. By imposing conditi…

math.PR2022

Foreign exchange options on Heston-CIR model under Lévy process framework

Giacomo Ascione, Farshid Mehrdoust, Giuseppe Orlando +1

In this paper, we consider the Heston-CIR model with Lévy process for pricing in the foreign exchange (FX) market by providing a new formula that better fits the distribution of pr…

math.OC2022

Mean field sparse optimal control of systems with additive white noise

Giacomo Ascione, Daniele Castorina, Francesco Solombrino

We analyze the problem of controlling a multi-agent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a con…

math.PR2022★ 1 cited

Non-local heat equations with moving boundary

Giacomo Ascione, Pierre Patie, Bruno Toaldo

In this paper we consider non-local (in time) heat equations on time-increasing parabolic sets whose boundary is determined by a suitable curve. We provide a notion of solution for…

math.PR2022

A sojourn-based approach to semi-Markov Reinforcement Learning

Giacomo Ascione, Salvatore Cuomo

In this paper we introduce a new approach to discrete-time semi-Markov decision processes based on the sojourn time process. Different characterizations of discrete-time semi-Marko…