Markov Semigroups and Processes with Wide Domains of Infinitesimal Operators

1990 ◽  
Vol 34 (3) ◽  
pp. 515-519
Author(s):  
O. K. Zakusilo
Keyword(s):  
Markov Semigroups ◽  
Infinitesimal Operators

Group Transference Techniques for the Estimation of the Decoherence Times and Capacities of Quantum Markov Semigroups

2021 ◽  
Vol 67 (5) ◽  
pp. 2878-2909
Author(s):  
Ivan Bardet ◽  
Marius Junge ◽  
Nicholas Laracuente ◽  
Cambyse Rouze ◽  
Daniel Stilck Franca
Keyword(s):  
Markov Semigroups

scholarly journals RIESZ TRANSFORMS ON COMPACT QUANTUM GROUPS AND STRONG SOLIDITY

2021 ◽  
pp. 1-37
Author(s):  
Martijn Caspers
Keyword(s):  
Quantum Group ◽  
Quantum Groups ◽  
Riesz Transform ◽  
Wreath Products ◽  
Compact Quantum Group ◽  
Riesz Transforms ◽  
Markov Semigroup ◽  
Markov Semigroups ◽  
Free Products ◽  
Compact Quantum Groups

Abstract One of the main aims of this paper is to give a large class of strongly solid compact quantum groups. We do this by using quantum Markov semigroups and noncommutative Riesz transforms. We introduce a property for quantum Markov semigroups of central multipliers on a compact quantum group which we shall call ‘approximate linearity with almost commuting intertwiners’. We show that this property is stable under free products, monoidal equivalence, free wreath products and dual quantum subgroups. Examples include in particular all the (higher-dimensional) free orthogonal easy quantum groups. We then show that a compact quantum group with a quantum Markov semigroup that is approximately linear with almost commuting intertwiners satisfies the immediately gradient- ${\mathcal {S}}_2$ condition from [10] and derive strong solidity results (following [10]). Using the noncommutative Riesz transform we also show that these quantum groups have the Akemann–Ostrand property; in particular, the same strong solidity results follow again (now following [27]).

Correlation and Brascamp-Lieb Inequalities for Markov Semigroups

2010 ◽  
Author(s):  
F. Barthe ◽  
D. Cordero-Erausquin ◽  
M. Ledoux ◽  
B. Maurey
Keyword(s):  
Markov Semigroups

scholarly journals On the structure of quantum Markov semigroups of weak coupling limit type

2017 ◽  
Vol 819 ◽  
pp. 012003
Author(s):  
J R Bolaños-Servín ◽  
F Fagnola
Keyword(s):  
Weak Coupling ◽  
Weak Coupling Limit ◽  
Markov Semigroups

Some Invariant Solutions of Two-Dimensional Elastodynamics in Linear Homogeneous Isotropic Materials

2013 ◽  
Vol 5 (2) ◽  
pp. 212-221
Author(s):  
Houguo Li ◽  
Kefu Huang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Theoretical Method ◽  
Two Dimensional ◽  
Invariant Solutions ◽  
Partial Differential ◽  
Isotropic Materials ◽  
Group Theoretical Method ◽  
Infinitesimal Operators

AbstractInvariant solutions of two-dimensional elastodynamics in linear homogeneous isotropic materials are considered via the group theoretical method. The second order partial differential equations of elastodynamics are reduced to ordinary differential equations under the infinitesimal operators. Three invariant solutions are constructed. Their graphical figures are presented and physical meanings are elucidated in some cases.

A Survey on Invariance and Ergodicity of Quantum Markov Semigroups

2014 ◽  
Vol 32 (3) ◽  
pp. 480-554 ◽  
Author(s):  
Mou-Hsiung Chang
Keyword(s):  
Markov Semigroups

scholarly journals Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles

2017 ◽  
Vol 58 (9) ◽  
pp. 092202 ◽  
Author(s):  
Hao-Chung Cheng ◽  
Min-Hsiu Hsieh ◽  
Marco Tomamichel
Keyword(s):  
Exponential Decay ◽  
Markov Semigroups ◽  
Quantum Ensembles

scholarly journals Approximation of Markov semigroups in total variation distance

2016 ◽  
Vol 21 (0) ◽  
Author(s):  
Vlad Bally ◽  
Clément Rey
Keyword(s):  
Total Variation ◽  
Total Variation Distance ◽  
Markov Semigroups ◽  
Variation Distance
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