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
Uniqueness Theorems for Generalized Haar Systems
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DOI: 10.1134/s0001434618070027
Abstract: A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a certain necessary condition on the… read more here.
Keywords: uniqueness theorems; haar systems; generalized haar; theorems generalized ... See more keywords