11 citations
- University of MilanIT7 papers
- Universidad Complutense de MadridES3 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- École Polytechnique Fédérale de LausanneCH1 paper
- Istituto di Scienze Marine del Consiglio Nazionale delle RicercheIT1 paper
- Norwegian School of EconomicsNO1 paper
- Universidade Federal da BahiaBR1 paper
- Université Paris Sciences et LettresFR1 paper
8 papers
Integrable Ito equations and properties of the associated Fokker-Planck equations
Giuseppe Gaeta, Miguel Angel Rodriguez
In a recent paper we have classified scalar Ito equations which admits a standard symmetry; these are also directly integrable by the Kozlov substitution. In the present work, we c…
Integrable Ito equations with multiple noises
Giuseppe Gaeta, Miguel Angel Rodriguez
The classification of scalar Ito equations with a single noise source which admit a so called standard symmetry and hence are -- by the Kozlov construction -- integrable is by now…
Symmetry classification of scalar autonomous Ito stochastic differential equations with simple noise
Giuseppe Gaeta, Miguel Angel Rodriguez
It is known that knowledge of a symmetry of a scalar Ito stochastic differential equations leads, thanks to the Kozlov substitution, to its integration. In the present paper we pro…
Adaptive strategy in Kelly's horse races model
Armand Despons, David Lacoste, Luca Peliti
We formulate an adaptive version of Kelly's horse model in which the gambler learns from past race results using Bayesian inference. A known asymptotic scaling for the difference b…
Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations
Giuseppe Gaeta, Roman Kozlov, Francesco Spadaro
We consider several aspects of conjugating symmetry methods, including the method of invariants, with an asymptotic approach. In particular we consider how to extend to the stochas…
Mass vaccination in a roaring pandemic
Giuseppe Gaeta
Mass vaccination produces a reduction in virus circulation, but also evolutive pressure towards the appearance of virus-resistant strains. We discuss the balance between these two…