Thermodynamic Formalism for Random Weighted Covering Systems
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DOI: 10.1007/s00220-021-04156-1
Abstract: We develop a quenched thermodynamic formalism for random dynamical systems generated by countably branched, piecewise-monotone mappings of the interval that satisfy a random covering condition. Given a random contracting potential $\varphi$ (in the sense of… read more here.
Keywords: formalism random; thermodynamic formalism; weighted covering; random ... See more keywords
Thermodynamic formalism for Haar systems in noncommutative integration: transverse functions and entropy of transverse measures
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DOI: 10.1017/etds.2020.24
Abstract: We consider here a certain class of groupoids obtained via an equivalence relation (the so-called subgroupoids of pair groupoids). We generalize to Haar systems in these groupoids some results related to entropy and pressure which… read more here.
Keywords: transverse functions; transverse; thermodynamic formalism; transverse measures ... See more keywords
The Markov process admits a consistent steady-state thermodynamic formalism
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DOI: 10.1063/1.4994243
Abstract: The search for a unified formulation for describing various non-equilibrium processes is a central task of modern non-equilibrium thermodynamics. In this paper, a novel steady-state thermodynamic formalism was established for general Markov processes described by… read more here.
Keywords: state; state thermodynamic; thermodynamic formalism; steady state ... See more keywords
Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics
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DOI: 10.20944/preprints202010.0250.v1
Abstract: 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 principle.… read more here.
Keywords: neuronal dynamics; dynamics spike; spike train; formalism neuronal ... See more keywords