Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Wirth, Melchior"'
Autor:
R, Rahul Kumar, Wirth, Melchior
We introduce operator-valued twisted Araki-Woods algebras. These are operator-valued versions of a class of second quantization algebras that includes $q$-Gaussian and $q$-Araki-Woods algebras and also generalize Shlyakhtenko's von Neumann algebras g
Externí odkaz:
http://arxiv.org/abs/2406.06179
Based on earlier work by Carlen-Maas and the second- and third-named author, we introduce the notion of intertwining curvature lower bounds for graphs and quantum Markov semigroups. This curvature notion is stronger than both Bakry-\'Emery and entrop
Externí odkaz:
http://arxiv.org/abs/2401.05179
Autor:
Wirth, Melchior
We prove that certain closable derivations on the GNS Hilbert space associated with a non-tracial weight on a von Neumann algebra give rise to GNS-symmetric semigroups of contractive completely positive maps on the von Neumann algebra.
Externí odkaz:
http://arxiv.org/abs/2307.04502
Autor:
Vernooij, Matthijs, Wirth, Melchior
We prove that the generator of the $L^2$ implementation of a KMS-symmetric quantum Markov semigroup can be expressed as the square of a derivation with values in a Hilbert bimodule, extending earlier results by Cipriani and Sauvageot for tracially sy
Externí odkaz:
http://arxiv.org/abs/2303.15949
We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more explicit description of the quadratic forms of the sandwiched semigro
Externí odkaz:
http://arxiv.org/abs/2301.01035
We extend three related results from the analysis of influences of Boolean functions to the quantum setting, namely the KKL Theorem, Friedgut's Junta Theorem and Talagrand's variance inequality for geometric influences. Our results are derived by a j
Externí odkaz:
http://arxiv.org/abs/2209.07279
Autor:
Wirth, Melchior
We show that the generator of a GNS-symmetric quantum Markov semigroup can be written as the square of a derivation. This generalizes a result of Cipriani and Sauvageot for tracially symmetric semigroups. Compared to the tracially symmetric case, the
Externí odkaz:
http://arxiv.org/abs/2207.09247
Autor:
Wirth, Melchior
In this note we prove a refined version of the Christensen-Evans theorem for generators of uniformly continuous GNS-symmetric quantum Markov semigroups. We use this result to show the existence of GNS-symmetric extensions of GNS-symmetric quantum Mar
Externí odkaz:
http://arxiv.org/abs/2203.00341
Publikováno v:
J. Evol. Equ. 23 n.9, 2023
We study ergodic decompositions of Dirichlet spaces under intertwining via unitary order isomorphisms. We show that the ergodic decomposition of a quasi-regular Dirichlet space is unique up to a unique isomorphism of the indexing space. Furthermore,
Externí odkaz:
http://arxiv.org/abs/2109.00615
