9 citations · 46 across the 12 of their papers we have counts for
12 papers
Sorting ECGs by lag irreversibility
Nazul Merino Negrete, Cesar Maldonado, Raúl Salgado-García
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 jo…
Existence of the zero temperature limit of equilibrium states on topologically transitive countable Markov shifts
Elmer R. Beltrán, Jorge Littin, Cesar Maldonado +1
Consider a topologically transitive countable Markov shift and a summable Markov potential with finite Gurevich pressure and . We prove existenc…
Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics
Rodrigo Cofré, Cesar Maldonado, Bruno Cessac
The Thermodynamic Formalism provides a rigorous mathematical framework to study quantitative and qualitative aspects of dynamical systems. At its core there is a variational princi…
Estimating entropy rate from censored symbolic time series: a test for time-irreversibility
Raul Salgado-Garcia, Cesar Maldonado
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 entrop…
Freezing phase transition in a fractal potential
Cesar Maldonado, Raul Salgado Garcia
In this work we propose a simple example of a one-dimensional thermodynamic system where non-interacting particles are allowed to move over the interval, which are influenc…
Large Deviations Properties of Maximum Entropy Markov Chains from Spike Trains
Rodrigo Cofre, Cesar Maldonado, Fernando Rosas
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 in…
Information Entropy Production of Spatio-Temporal Maximum Entropy Distributions
Rodrigo Cofre, Cesar Maldonado
Spiking activity from populations of neurons display causal interactions and memory effects. Therefore, they are expected to show some degree of irreversibility in time. Motivated…
Unbiased diffusion of Brownian particles on disordered correlated potentials
Raul Salgado-Garcia, Cesar Maldonado
In this work we study the diffusion of non-interacting overdamped particles, moving on unbiased disordered correlated potentials, subjected to Gaussian white noise. We obtain an ex…
Normal-to-anomalous diffusion transition in disordered correlated potentials: from the central limit theorem to stable laws
R. Salgado-Garcia, Cesar Maldonado
We study the diffusion of an ensemble of overdamped particles sliding over a tilted random poten- tial (produced by the interaction of a particle with a random polymer) with long-r…
Markov Approximations of Gibbs measures for long-range potentials on 1D lattices
Cesar Maldonado, Raul Salgado-Garcia
We study one-dimensional lattice systems with pair-wise interactions of infinite range. We show projective convergence of Markov measures to the unique equilibrium state. For this…
Fluctuation bounds for chaos plus noise in dynamical systems
Cesar Maldonado
We are interested in time series of the form where is generated by a chaotic dynamical system and where models observational noise. Using…
Concentration bounds for entropy estimation of one-dimensional Gibbs measures
J. -R. Chazottes, C. Maldonado
We obtain bounds on fluctuations of two entropy estimators for a class of one-dimensional Gibbs measures on the full shift. They are the consequence of a general exponential inequa…