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Loss of Ergodicity in the Transition from Annealed to Quenched Disorder in a Finite Kinetic Ising Model
(SPRINGER, 2011)
We consider a kinetic Ising model which represents a generic agent-based model for various types of socio-economic systems. We study the case of a finite (and not necessarily large) number of agents N as well as the ...
Towards a definition of the quantum ergodic hierarchy: ergodicity and mixing
(Elsevier Science, 2009-02)
In a previous paper we have given a general framework for addressing the definition of quantum chaos by identifying the conditions that a quantum system must satisfy to lead to non-integrability in its classical limit. ...
Exponential Rates of Convergence in the Ergodic Theorem: A Constructive Approach
(SPRINGER, 2010)
We prove that, once an algorithm of perfect simulation for a stationary and ergodic random field F taking values in S(Zd), S a bounded subset of R(n), is provided, the speed of convergence in the mean ergodic theorem occurs ...
On emergence and complexity of ergodic decompositions
(Academic Press Inc., 2021)
© 2021 Elsevier Inc.A concept of emergence was recently introduced in [5] in order to quantify the richness of possible statistical behaviors of orbits of a given dynamical system. In this paper, we develop this concept ...
Detailed structure of configuration space and its importance on ergodic separation of ±J Ising lattices
(Elsevier Science, 2002-07-15)
A complete and exact characterization of the configuration space of 2-D ±J Ising lattices is performed. A new algorithm is introduced here representing advantages for reaching all states for small samples and doing a ...