Results 1 to 10 of about 108 (105)
The Ornstein-Uhlenbeck semigroup in finite dimension. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 We gather the main known results concerning the non-degenerate Ornstein–Uhlenbeck semigroup in finite dimension. This article is part of the theme issue ‘Semigroup applications everywhere’.
Lunardi A, Metafune G, Pallara D.
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Ornstein-Uhlenbeck semigroups in infinite dimension. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 This is a survey paper about Ornstein–Uhlenbeck semigroups in infinite dimension and their generators. We start from the classical Ornstein–Uhlenbeck semigroup on Wiener spaces and then discuss the general case in Hilbert spaces. Finally, we present some results for Ornstein–Uhlenbeck semigroups on Banach spaces.
Lunardi A, Pallara D.
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Ornstein–Uhlenbeck semigroups on star graphs
Discrete and Continuous Dynamical Systems - S, 2022 We prove first existence of a classical solution to a class of parabolic problems with unbounded coefficients on metric star graphs subject to Kirchhoff-type conditions. The result is applied to the Ornstein--Uhlenbeck and the harmonic oscillator operators on metric star graphs.
Mugnolo Delio, Rhandi Abdelaziz
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Riesz transforms of a general Ornstein–Uhlenbeck semigroup [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractWe consider Riesz transforms of any order associated to an Ornstein–Uhlenbeck operator with covariance given by a real, symmetric and positive definite matrix, and with drift given by a real matrix whose eigenvalues have negative real parts. In this general Gaussian context, we prove that a Riesz transform is of weak type (1, 1) with respect to
Casarino, Valentina +2 more
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Quantum Ornstein–Uhlenbeck semigroups [PDF]
Quantum Studies: Mathematics and Foundations, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications [PDF]
QuantumThe Trotter product formula and the quantum Zeno effect are both indispensable tools for constructing time-evolutions using experimentally feasible building blocks. In this work, we discuss assumptions under which quantitative bounds can be proven in the
Tim Möbus
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Energy preserving evolutions over Bosonic systems [PDF]
QuantumThe exponential convergence to invariant subspaces of quantum Markov semigroups plays a crucial role in quantum information theory. One such example is in bosonic error correction schemes, where dissipation is used to drive states back to the code-space –
Paul Gondolf, Tim Möbus, Cambyse Rouzé
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Dirichlet Forms Constructed from Annihilation Operators on Bernoulli Functionals
Advances in Mathematical Physics, 2017 The annihilation operators on Bernoulli functionals (Bernoulli annihilators, for short) and their adjoint operators satisfy a canonical anticommutation relation (CAR) in equal-time.
Caishi Wang, Beiping Wang
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Some Fine Properties of BV Functions on Wiener Spaces
Analysis and Geometry in Metric Spaces, 2015 In this paper we define jump set and approximate limits for BV functions on Wiener spaces and show that the weak gradient admits a decomposition similar to the finite dimensional case.
Ambrosio Luigi +2 more
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Ornstein—Uhlenbeck and Renormalization Semigroups [PDF]
Moscow Mathematical Journal, 2001 The Ornstein-Uhlenbeck semigroup combines Gaussian diusion with the ow of a linear vector eld. In innite dimensional settings there can be non-Gaussian invariant measures. This gives a context for one version of the renormalization group. The adjoint of the OrnsteinUhlenbeck semigroup with respect to an invariant measure need not be an Ornstein ...
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