Results 61 to 70 of about 1,035 (227)
Self-restricting Noise and Exponential Relative Entropy Decay Under Unital Quantum Markov Semigroups [PDF]
States of open quantum systems often decay continuously under environmental interactions. Quantum Markov semigroups model such processes in dissipative environments.
Nicholas LaRacuente
doaj +1 more source
Graphs and their associated inverse semigroups
17 pages and 1 ...
Tien Chih, Demitri Plessas
openaire +2 more sources
Noncommutative polygonal cluster algebras
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source
Tight Representations of 0-𝐸-Unitary Inverse Semigroups
We study the tight representation of a semilattice in {0,1} by some examples. Then we introduce the concept of the complex tight representation of an inverse semigroup 𝑆 by the concept of the tight representation of the semilattice of idempotents 𝐸 of 𝑆 ...
Bahman Tabatabaie Shourijeh +1 more
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In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
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Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
Continuity and general perturbation of the Drazin inverse for closed linear operators
We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators.
N. Castro González +2 more
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Topological properties of C0 $C^{0}$-solution set for impulsive evolution inclusions
In this paper, we study the topological properties to a C0 $C^{0}$-solution set of impulsive evolution inclusions. The definition of C0 $C^{0}$-solutions for impulsive functional evolution inclusions is introduced.
Lu Zhang, Yong Zhou, Bashir Ahmad
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Construction of propagators for divisible dynamical maps
Divisible dynamical maps play an important role in characterizing Markovianity on the level of quantum evolution. Divisible maps provide an important generalization of Markovian semigroups. Usually one analyzes either completely positive or just positive
Ujan Chakraborty, Dariusz Chruściński
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Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source

