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Spiking activity from populations of neurons display causal interactions andmemory effects. Therefore, they are expected to show some degree ofirreversibility in time. Motivated by the spike train statistics, in this paperwe build a framework to quantify the degree of irreversibility of any maximumentropy distribution. Our approach is based on the transfer matrix technique,which enables us to find an homogeneous irreducible Markov chain that sharesthe same maximum entropy measure. We provide relevant examples in the contextof spike train statistics

Information Entropy Production of Spatio-Temporal Maximum Entropy Distributions