AbstractMethods of nonstandard analysis are used to construct a Markov semigroup representing the stochastic evolution of an infinite spin system with finite range interaction by means of a hyperfinite spin system. The hyperfinite spin system is then used to derive classical results about phase transitions of the stochastic Ising model without the use of thermodynamic limits
This thesis studies the irreversible Markov chain in the spin systems and particle systems,theoretic...
We analyze a non-Markovian mean field interacting spin system, related to the Curie–Weiss model. We ...
This thesis consists of two main sections. Section II is motivated by studies of stochastic diffe...
AbstractMethods of nonstandard analysis are used to construct a Markov semigroup representing the st...
AbstractA birth and death process is used to compare the dynamics of two finite Markov spin systems ...
This paper deals with the stochastic Ising model with a temperature shrinking to zero as time goes t...
The finite-volume microscopic behaviour of a system in equilibrium is de¬termined by the Boltzmann-G...
In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional la...
We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and sp...
International audienceGiven a countable set of sites and a collection of flip rates at each site, we...
AbstractThe stochastic Heisenberg model is a classical mechanical model for a magnet in contact with...
In this note we relate the Hamiltonian of the integrable non-compact spin $s$ XXZ chain to the Marko...
25 pagesIn this article we discuss several aspects of the stochastic dynamics of spin models. The pa...
AbstractIn a recent paper Brydges, Fröhlich, and Spencer have successfully applied Markov chains to ...
This thesis studies irreversible Markov chains for spin models and particle systems. It analyzes the...
This thesis studies the irreversible Markov chain in the spin systems and particle systems,theoretic...
We analyze a non-Markovian mean field interacting spin system, related to the Curie–Weiss model. We ...
This thesis consists of two main sections. Section II is motivated by studies of stochastic diffe...
AbstractMethods of nonstandard analysis are used to construct a Markov semigroup representing the st...
AbstractA birth and death process is used to compare the dynamics of two finite Markov spin systems ...
This paper deals with the stochastic Ising model with a temperature shrinking to zero as time goes t...
The finite-volume microscopic behaviour of a system in equilibrium is de¬termined by the Boltzmann-G...
In this paper we discuss a family of models of particle and energy diffusion on a one-dimensional la...
We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and sp...
International audienceGiven a countable set of sites and a collection of flip rates at each site, we...
AbstractThe stochastic Heisenberg model is a classical mechanical model for a magnet in contact with...
In this note we relate the Hamiltonian of the integrable non-compact spin $s$ XXZ chain to the Marko...
25 pagesIn this article we discuss several aspects of the stochastic dynamics of spin models. The pa...
AbstractIn a recent paper Brydges, Fröhlich, and Spencer have successfully applied Markov chains to ...
This thesis studies irreversible Markov chains for spin models and particle systems. It analyzes the...
This thesis studies the irreversible Markov chain in the spin systems and particle systems,theoretic...
We analyze a non-Markovian mean field interacting spin system, related to the Curie–Weiss model. We ...
This thesis consists of two main sections. Section II is motivated by studies of stochastic diffe...
DOI
Add to ORKG