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Existence and construction of voting situations concordant with ranking patterns
Emilio De Santis, Fabio Spizzichino
Referring to a standard context of voting theory, and to the classic notion of voting situation, here we show that it is possible to observe any arbitrary set of elections' outcome…
Infinite paths on a random environment of with bounded and recurrent sums
Emilio De Santis, Mauro Piccioni
This paper considers a random structure on the lattice of the following kind. To each edge a random variable is assigned, together with a random sign $Y_e…
Stochastic precedence and minima among dependent variables
Emilio De Santis, Yaakov Malinovsky, Fabio Spizzichino
The notion of stochastic precedence between two random variables emerges as a relevant concept in several fields of applied probability. When one consider a vector of random variab…
Perfect simulation for the infinite random cluster model, Ising and Potts models at low or high temperature
Emilio De Santis, Andrea Maffei
In this article we create a new algorithm for the perfect simulation of the infinite Potts model at a sufficiently small or at a sufficiently high temperature, in particular under…
A class of stochastic games with infinitely many interacting agents related to Glauber dynamics on random graphs
Emilio De Santis, Carlo Marinelli
We introduce and study a class of infinite-horizon non-zero-sum non-cooperative stochastic games with infinitely many interacting agents using ideas of statistical mechanics. First…
Convergence in Energy-Lowering (Disordered) Stochastic Spin Systems
Emilio De Santis, Charles M. Newman
We consider stochastic processes, S^t \equiv (S_x^t : x \in Z^d), with each S_x^t taking values in some fixed finite set, in which spin flips (i.e., changes of S_x^t) do not raise…