Thermodynamics in Terms of a Sequence of $n-$chains Derived from a Martingale Decomposition of the Energy Process

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dc.creatorford, David
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:57:52Z
dc.date.available2026-07-07T06:57:52Z
dc.descriptionThe role of the algebraic method has long been understood in shedding light on the topological structure of sets. However, when the set is a simplicial complex and host to a dynamical process, in particular the trajectory of a canonically distributed system in thermal equilibrium with a heat bath, the algebra re-enters. Via a theorem of Levy and Dynkin, there is a correspondence between a system's energy process at equilibrium and a sequence of $n-$chains on the state space.
dc.description8 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0601716
dc.identifierhttp://arxiv.org/abs/cond-mat/0601716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107132
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.subjectData Analysis, Statistics and Probability
dc.titleThermodynamics in Terms of a Sequence of $n-$chains Derived from a Martingale Decomposition of the Energy Process
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