Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Pra, Paolo Dai"'
Autor:
Albertini, Francesca, Pra, Paolo Dai
We consider $N$-player games, in continuous time, finite state space and finite time horizon, on a geometrical structure possessing a macroscopic limit in a suitable sense. This geometrical structure breaks the permutation invariance property that gi
Externí odkaz:
http://arxiv.org/abs/2410.02822
Autor:
Aleandri, Michele, Pra, Paolo Dai
A dynamical system that undergoes a supercritical Hopf's bifurcation is perturbed by a multiplicative Brownian motion that scales with a small parameter $\epsilon$. The random fluctuations of the system at the critical point are studied when the dyna
Externí odkaz:
http://arxiv.org/abs/2409.01270
Autor:
Pra, Paolo Dai, Marini, Elisa
We study a dissipative version of the contact process, with mean-field interaction, which admits a simple epidemiological interpretation. The propagation of chaos and the corresponding normal fluctuations reveal that the noise present in the finite-s
Externí odkaz:
http://arxiv.org/abs/2403.03783
In this paper we consider the Glauber dynamics for the one-dimensional Ising model with dissipation, in a mesoscopic regime obtained by letting inverse temperature and volume go to infinity with a suitable scaling. In this limit the magnetization has
Externí odkaz:
http://arxiv.org/abs/2002.08244
We analyze a non-Markovian mean field interacting spin system, related to the Curie--Weiss model. We relax the Markovianity assumption by replacing the memoryless distribution of the waiting times of a classical spin-flip dynamics with a distribution
Externí odkaz:
http://arxiv.org/abs/1911.05373
We consider a system of hierarchical interacting spins under dynamics of spin-flip type with a ferromagnetic mean field interaction, scaling with the hierarchical distance, coupled with a system of linearly interacting hierarchical diffusions of Orns
Externí odkaz:
http://arxiv.org/abs/1910.13469
We consider N-player and mean field games in continuous time over a finite horizon, where the position of each agent belongs to {-1,1}. If there is uniqueness of mean field game solutions, e.g. under monotonicity assumptions, then the master equation
Externí odkaz:
http://arxiv.org/abs/1810.05492
What is the emergent long-run equilibrium of a society where many interacting agents bet on the optimal energy to put in place in order to climb on the Bandwagon? In this paper we study the collective behavior of a large population of agents being ei
Externí odkaz:
http://arxiv.org/abs/1804.07469
Motivated by several applications, including neuronal models, we consider the McKean-Vlasov limit for mean-field systems of interacting diffusions with simultaneous jumps. We prove propagation of chaos via a coupling technique that involves an interm
Externí odkaz:
http://arxiv.org/abs/1704.01052
Autor:
Pra, Paolo Dai, Tovazzi, Daniele
We study the dynamics of fluctuations at the critical point for two time-asymmetric version of the Curie-Weiss model for spin systems that, in the macroscopic limit, undergo a Hopf bifurcation. The fluctuations around the macroscopic limit reflect th
Externí odkaz:
http://arxiv.org/abs/1703.07572