Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Maldonado, César"'
In this work we introduce the lag irreversibility function as a method to assess time-irreversibility in discrete time series. It quantifies the degree of time-asymmetry for the joint probability function of the state variable under study and the sta
Externí odkaz:
http://arxiv.org/abs/2307.15998
Publikováno v:
Ergodic Theory Dynam. Systems. 43 (10): 3231--3254, 2023
Consider a topologically transitive countable Markov shift $\Sigma$ and a summable Markov potential $\phi$ with finite Gurevich pressure and $\mathrm{Var}_1(\phi) < \infty$. We prove existence of the limit $\lim_{t \to \infty} \mu_t$ in the weak$^\st
Externí odkaz:
http://arxiv.org/abs/2201.02157
Publikováno v:
In Physica A: Statistical Mechanics and its Applications 1 March 2024 637
Publikováno v:
In Physica D: Nonlinear Phenomena March 2024 459
The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is a variational principle corresponding, in its simplest form, to the Maximum Entropy princi
Externí odkaz:
http://arxiv.org/abs/2011.09512
Autor:
Salgado-Garcia, Raul, Maldonado, Cesar
In this work we introduce a method for estimating entropy rate and entropy production rate from finite symbolic time series. From the point of view of statistics, estimating entropy from a finite series can be interpreted as a problem of estimating p
Externí odkaz:
http://arxiv.org/abs/2009.11351
Akademický článek
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Autor:
Maldonado, Cesar, Garcia, Raul Salgado
Publikováno v:
J. Stat. Mech. (2019) 033203
In this work we propose a simple example of a one-dimensional thermodynamic system where non-interacting particles are allowed to move over the $[0,1]$ interval, which are influenced by a potential with a fractal structure. We prove that the system e
Externí odkaz:
http://arxiv.org/abs/1812.11407
We consider the maximum entropy Markov chain inference approach to characterize the collective statistics of neuronal spike trains, focusing on the statistical properties of the inferred model. We review large deviations techniques useful in this con
Externí odkaz:
http://arxiv.org/abs/1805.07322
This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitution's rule, the existence of a unique process which remains invariant under the substitution, and
Externí odkaz:
http://arxiv.org/abs/1712.00586