The Eigenfunctions of the Transfer Operator for the Dyson Model in a Field
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DOI: 10.1007/s10955-025-03476-z
Abstract: The recent works [5] and [15] have studied the spectral properties of the Dyson model in the absence of an external field. This paper is a continuation of [5] and aims to bridge the gap… read more here.
Keywords: model field; dyson model; model; transfer operator ... See more keywords
Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions
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DOI: 10.1063/5.0086873
Abstract: Dyson’s model in infinite dimensions is a system of Brownian particles that interact via a logarithmic potential with an inverse temperature of β = 2. The stochastic process can be represented by the solution to… read more here.
Keywords: model infinite; unlabeled dynamics; ergodicity unlabeled; dyson model ... See more keywords