Results 31 to 40 of about 14,174 (225)
Markov processes with Lipschitz semigroups [PDF]
Transactions of the American Mathematical Society, 1981 For f f a function on a metric space, let \[ Lip f = sup x ≠ y | f ( x ) − f ( y ) | / d ( x
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Continuous selections of Borel measures, positive operators and degenerate evolution problems
Journal of Numerical Analysis and Approximation Theory, 2007 In this paper we continue the study of a sequence of positive linear operators which we have introduced in [9] and which are associated with a continuous selection of Borel measures on the unit interval.
Francesco Altomare, Vita Leonessa
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Weighted Nash Inequalities [PDF]
, 2010 Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities.
Bakry, Dominique +3 more
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Markov semigroups on C∗-bundles
Journal of Functional Analysis, 1989 There is, for \(L^ 2\)-spaces, a one-to-one correspondence between symmetric (sub-)Markov semigroups of operators [cf. \textit{M. Silverstein}, Springer Lect. Notes Math. 516 (1976; Zbl 0331.60046) for the corresponding Markov processes the symmetry appears for the transition functions] and Dirichlet forms [\textit{A. Beurling} and \textit{J.
Davies, E.B, Rothaus, O.S
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Markov quantum semigroups admit covariant MarkovC*-dilations [PDF]
Communications in Mathematical Physics, 1986 Through a Daniell-Kolmogorov type construction, to any Markov quantum semigroup on a \(C^*\)-algebra there is associated a quantum stochastic process which is a dilation of the semigroup, and satisfies a covariance rule which implies the weak Markov property.
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Entropy Production for Quantum Markov Semigroups [PDF]
Communications in Mathematical Physics, 2015 An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantum detailed balance condition. In this paper, we introduce a notion of entropy production for faithful normal invariant states of a quantum Markov semigroup on B(h) as a numerical index measuring "how much far" they are from equilibrium.
FAGNOLA, FRANCO, Rolando Rebolledo
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Classical dilations \`a la Hudson-Parthasarathy of Markov semigroups
, 2007 We study the Classical Probability analogue of the dilations of a quantum dynamical semigroup defined in Quantum Probability via quantum stochastic differential equations.
Gregoratti, M.
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Complete positivity order and relative entropy decay
Forum of Mathematics, SigmaWe prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time.
Li Gao +3 more
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Periodic Solutions to Stochastic Reaction-Diffusion Neural Networks With S-Type Distributed Delays
IEEE Access, 2019 In this paper, the existence and stability of mild periodic solutions to the stochastic reaction-diffusion neural networks (SRDNNs) with S-type distributed delays are studied.
Qi Yao, Yangfan Wang, Linshan Wang
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, 2014 A quantum Markov semigroup can be represented via classical diffusion processes solving a stochastic Schr\"odinger equation. In this paper we first prove that a quantum Markov semigroup is irreducible if and only if classical diffusion processes are ...
Fagnola, Franco, Mora, Carlos
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