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In this paper we consider symmetric games where a large number of players can be in any one of d states. We derive a limiting mean field model and characterize its main properties. This mean field… (More)

We generalize several results of the classical theory of thermodynamic formalism by considering a compact metric space $M$
as the state space. We analyze the shift acting on $M^{\mathbb{N}}$
and… (More)

In this paper we report on some recent results for mean field models in discrete time with a finite number of states. These models arise in situations that involve a very large number of agents… (More)

We consider (M, d) a connected and compact manifold and we denote by the Bernoulli space Mℤ. The analogous problem on the half-line ℕ is also considered. Let be an observable. Given a temperature T,… (More)

We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum… (More)

We study the hydrodynamic and the hydrostatic behavior of the simple symmetric exclusion process with slow boundary. The term slow boundary means that particles can be born or die at the boundary… (More)

In this work we study certain aspects of open quantum random walks (OQRWs), a class of quantum channels described by Attal et al. (J Stat Phys 147: 832–852, 2012). As a first objective we consider… (More)

- Diogo A. Gomes, Joana Mohr, Rafael R. Souza
- ArXiv
- 2010

Mean field games is a recent area of study introduced by Lions and Lasry in a series of seminal papers in 2006. Mean field games model situations of competition between large number of rational… (More)

This is a survey paper on the general one-dimensional XY model. The proofs of the results presented here appear in two papers which are [2] and [18]. In the last mentioned work it is consider a more… (More)