Results 1 to 10 of about 435 (135)
A Novel Hybrid Monte Carlo Algorithm for Sampling Path Space
Entropy, 2021 To sample from complex, high-dimensional distributions, one may choose algorithms based on the Hybrid Monte Carlo (HMC) method. HMC-based algorithms generate nonlocal moves alleviating diffusive behavior. Here, I build on an already defined HMC framework,
Francis J. Pinski
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A model of functional brain connectivity and background noise as a biomarker for cognitive phenotypes: application to autism. [PDF]
PLoS ONE, 2013 We present an efficient approach to discriminate between typical and atypical brains from macroscopic neural dynamics recorded as magnetoencephalograms (MEG).
Luis García Domínguez +2 more
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Boundedness of Littlewood-Paley Operators Associated with Gauss Measures
Journal of Inequalities and Applications, 2010 Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
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Revista de Matemática: Teoría y Aplicaciones, 2009 We consider the Schr¨odinger operator on the unit circle, whose potential is an Ornstein – Uhlenbeck type process, with drift depending on its position.
Santiago Cambronero
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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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Functional Calculus for the Ornstein–Uhlenbeck Operator
Journal of Functional Analysis, 2001 Let \(\gamma\) be the Gauss probability measure on \(R^d\) with density \(\gamma_0 (x)=\pi^{-d/2} \exp(-|x |^2)\). Then the Ornstein-Uhlenbeck operator \(-1/2 \Delta +x\cdot \nabla\) is essentially selfadjoint in \(L^2 (\gamma)\). Denote by \(L\) its selfadjoint extension. It is well-known that the spectrum of \(L\) is \(\{0, 1, \dots \}\).
GARCIA CUERVA J. +4 more
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Global L p estimates for degenerate Ornstein–Uhlenbeck operators [PDF]
Mathematische Zeitschrift, 2009 We consider a class of degenerate Ornstein-Uhlenbeck operators in $\mathbb{R}^{N}$, of the kind \[ \mathcal{A}\equiv\sum_{i,j=1}^{p_{0}}a_{ij}\partial_{x_{i}x_{j}}^{2} +\sum_{i,j=1}^{N}b_{ij}x_{i}\partial_{x_{j}}% \] where $(a_{ij}) ,(b_{ij}) $ are constant matrices, $(a_{ij}) $ is symmetric positive definite on $\mathbb{R} ^{p_{0}}$ ($p_{0}\leq N ...
M. Bramanti +3 more
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Quantum Dynamics in a Fluctuating Environment
Entropy, 2019 We theoretically investigate the dynamics of a quantum system which is coupled to a fluctuating environment based on the framework of Kubo-Anderson spectral diffusion.
Xiangji Cai
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Greedy Approximation of High-Dimensional Ornstein–Uhlenbeck Operators [PDF]
Foundations of Computational Mathematics, 2012 We investigate the convergence of a nonlinear approximation method introduced by Ammar et al. (J. Non-Newtonian Fluid Mech. 139:153-176, 2006) for the numerical solution of high-dimensional Fokker-Planck equations featuring in Navier-Stokes-Fokker-Planck systems that arise in kinetic models of dilute polymers.
Figueroa, L, Süli, E
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A symmetry result for the Ornstein-Uhlenbeck operator
Discrete & Continuous Dynamical Systems - A, 2014 In 1978 E. De Giorgi formulated a conjecture concerning the one-dimensional symmetry of bounded solutions to the elliptic equation u=F'(u), which are monotone in some direction. In this paper we prove the analogous statement for the equation u - =F'(u), where the Laplacian is replaced by the Ornstein-Uhlenbeck operator.
Enrico Valdinoci +2 more
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