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20102026
most citedDevelopments in perfect simulation of Gibbs measures through a new result for the extinction of Galton-Watson-like processes

11 citations · 37 across the 10 of their papers we have counts for

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math.PR2026

Zero-temperature stochastic Ising model on one-dimensional quasi-transitive graphs

Emilio De Santis

We consider the zero-temperature stochastic Ising process describing spin-flip dynamics on an infinite one-dimensional quasi-transitive graph with finite interact…

math.PR2023

Zero-temperature stochastic Ising model on planar quasi-transitive graphs

Emilio De Santis, Leonardo Lelli

We study the zero-temperature stochastic Ising model on some connected planar quasi-transitive graphs, which are invariant under rotation and translation. The initial spin configur…

math.PR2020★ 2 cited

Load-sharing dependence models and construction of voting situations for any arbitrary ranking schemes

Emilio De Santis, Fabio Spizzichino

In this paper we present a study about minima among random variables, about the context of voting theory, and about paradoxes related with such topics. In the field of reliability…

math.PR2015★ 4 cited

One-dimensional infinite memory imitation models with noise

Emilio De Santis, Mauro Piccioni

In this paper we study stochastic process indexed by constructed from certain transition kernels depending on the whole past. These kernels prescribe that, at any tim…

math.PR2015

Stochastic Ising model with flipping sets of spins and fast decreasing temperature

Roy Cerqueti, Emilio De Santis

This paper deals with the stochastic Ising model with a temperature shrinking to zero as time goes to infinity. A generalization of the Glauber dynamics is considered, on the basis…

math.PR2013★ 10 cited

Relations Between Stochastic Orderings and generalized Stochastic Precedence

Emilio De Santis, Fabio Fantozzi, Fabio Spizzichino

The concept of "stochastic precedence" between two real-valued random variables has often emerged in different applied frameworks. In this paper we consider a slightly more general…

math.PR2012★ 2 cited

Perfect simulation of autoregressive models with infinite memory

Emilio De Santis, Mauro Piccioni

In this paper we consider the problem of determining the law of binary stochastic processes from transition kernels depending on the whole past. These kernels are linear in the pas…

math.PR2012★ 3 cited

Stochastic Comparisons between hitting times for Markov Chains and words' occurrences

Emilio De Santis, Fabio Spizzichino

We develop some sufficient conditions for the stochastic ordering between hitting times, in a fixed state, for two Markov chains. In particular, we focus attention on the so called…

math.PR2011★ 11 cited

Developments in perfect simulation of Gibbs measures through a new result for the extinction of Galton-Watson-like processes

Emilio De Santis, Andrea Lissandrelli

This paper deals with the problem of perfect sampling from a Gibbs measure with infinite range interactions. We present some sufficient conditions for the extinction of processes w…

math.PR2010★ 5 cited

A general framework for perfect simulation of long memory processes

Emilio De Santis, Mauro Piccioni

In this paper a general approach for the perfect simulation of a stationary process with at most countable state space is outlined. The process is specified through a kernel, presc…