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This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm. We introduce variational formulations for the to
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21eb2690687ad2ed15154e268cebe58b
http://arxiv.org/abs/2211.04919
http://arxiv.org/abs/2211.04919
Publikováno v:
Communications in Contemporary Mathematics. 25
Denote $M_k$ the set of complex $k$ by $k$ matrices. We will analyze here quantum channels $\phi_L$ of the following kind: given a measurable function $L:M_k\to M_k$ and the measure $\mu$ on $M_k$ we define the linear operator $\phi_L:M_k \to M_k$, v
We denote by $M_k$ the set of $k$ by $k$ matrices with complex entries. We consider quantum channels $\phi_L$ of the form: given a measurable function $L:M_k\to M_k$ and a measure $\mu$ on $M_k$ we define the linear operator $\phi_L:M_k \to M_k$, by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4d4279640217de137d638aa0d9e3dda
Publikováno v:
Communications in Contemporary Mathematics. 23:1950050
We consider the KMS state associated to the Hamiltonian [Formula: see text] over the quantum spin lattice [Formula: see text] For a fixed observable of the form [Formula: see text] where [Formula: see text] is self-adjoint, and for positive temperatu