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Ilya https://nemenmanlab.org/~ilya/index.php?title=Tchernookov_and_Nemenman,_2013&diff=146&oldid=prev 2013-10-01T22:08:25Z

<p></p> <p><b>New page</b></p><div>{{Back to publ}}<br /> M Tchernookov and I Nemenman, Predictive information in a nonequilibrium critical model. ''J Stat Phys'' '''153''', 442, 2013. [[media:tchernookov-nemenman-2013.pdf|PDF]], [http://arxiv.org/abs/1212.3896 arXiv].<br /> ;Abstract:We propose predictive information, that is information between a long past of duration T and the entire infinitely long future of a time series, as a universal order parameter to study phase transitions in physical systems. It can be used, in particular, to study nonequlibrium transitions and other exotic transitions, where a simpler order parameter cannot be identifies using traditional symmetry arguments. As an example, we calculate predictive information for a stochastic nonequilibrium dynamics problem that forms an absorbing state under a continuous change of a parameter. The information at the transition point diverges as log(T), and a smooth crossover to constant away from the transition is observed.</div>

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