Results 41 to 50 of about 108 (105)
Nonsymmetric Ornstein-Uhlenbeck semigroup as second quantized operator
Kyoto Journal of Mathematics, 1996 This work deals with properties of the semigroup related to the Ornstein-Uhlenbeck operator \[ L\phi(x)=\textstyle{{1\over 2}}\text{ Tr }QD^2\phi(x)+ \langle Ax,D\phi(x)\rangle \] in a real separable Hilbert space \(H\). We assume that \(A\) is the generator of a \(C_0\)-semigroup \(S(t)\), \(t\geq 0\), of bounded operators on \(H\), \(Q\) is bounded ...
Chojnowska-Michalik, Anna +1 more
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Complete Gradient Estimates of Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2021 Wirth M, Zhang H.
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Invariant measures and regularity properties of perturbed Ornstein–Uhlenbeck semigroups
Journal of Differential Equations, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Es-Sarhir, Abdelhadi, Farkas, Bálint
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Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise. [PDF]
J Nonlinear Sci, 2023 Meng Y, Namachchivaya NS, Perkowski N.
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Lévy–Ornstein–Uhlenbeck transition semigroup as second quantized operator
Journal of Functional Analysis, 2011 Let \(\mu\) be an invariant measure for the transition semigroup \((P_t)\) of the Markov family defined by the Ornstein-Uhlenbeck type equation \(dX=AX\,dt+dL\) on a Hilbert space \(E\) driven by a Lévy process \(L\). The author shows that, for any \(t\geq 0\), \(P_t\) considered on \(L^2(\mu )\) is a second quantized operator on the Poisson Fock space
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The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications. [PDF]
Stoch Partial Differ Equ, 2022 Balan RM +3 more
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Semigroup applications everywhere. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Nagel R, Rhandi A.
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Spectral Properties of Effective Dynamics from Conditional Expectations. [PDF]
Entropy (Basel), 2021 Nüske F +3 more
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Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems. [PDF]
J Stat Phys, 2020 Carlen EA, Maas J.
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Perturbation of Ornstein-Uhlenbeck semigroups
, 1996 Consider the following stochastic equation in a Hilbert space \(dZ=AZ dt+ dW(t)\) with \(Z(0)=x\), where \(W\) is a cylindrical Wiener process. The main result of the paper is a precise characterization of the domain \(D\) of the infinitesimal generator of the transition semigroup \(R_t\varphi(x)= E(\varphi(Z(t,x)))\). The domain \(D\) is considered as
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