Results 11 to 20 of about 2,868 (137)
Ergodicity of a Generalized Jacobi's Equation and Applications [PDF]
, 2015 Consider a $1$-dimensional centered Gaussian process $W$ with $\alpha$-H\"older continuous paths on the compact intervals of $\mathbb R_+$ ($\alpha\in ]0,1[$) and $W_0 = 0$, and $X$ the local solution in rough paths sense of Jacobi's equation driven by ...
Marie, Nicolas
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Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines
Кібернетика та комп'ютерні технологіїIntroduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
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Phelps type duality results in best approximation
Journal of Numerical Analysis and Approximation Theory, 2002 The aim of the present paper is to show that many Phelps type duality result, relating the extension properties of various classes of functions (continuous, linear continuous, bounded bilinear, Hölder-Lipschitz) with the approximation properties ...
Ştefan Cobzaş
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Nonnegative measures belonging to $H^{-1}(\mathbb{R}^2)$
, 2014 Radon measures belonging to the negative Sobolev space $H^{-1}(\mathbb{R}^2)$ are important from the point of view of fluid mechanics as they model vorticity of vortex-sheet solutions of incompressible Euler equations.
Jamróz, Grzegorz
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A goodness‐of‐fit test for regression models with discrete outcomes
Canadian Journal of Statistics, EarlyView.Abstract Regression models are often used to analyze discrete outcomes, but classical goodness‐of‐fit tests such as those based on the deviance or Pearson's statistic can be misleading or have little power in this context. To address this issue, we propose a new test, inspired by the work of Czado et al.
Lu Yang +2 more
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Besov regularity of solutions to the p-Poisson equation [PDF]
, 2014 In this paper, we study the regularity of solutions to the $p$-Poisson equation for all ...
Dahlke, Stephan +4 more
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Lusin-type approximation of Sobolev by Lipschitz functions, in Gaussian and $RCD(K,\infty)$ spaces
, 2018 We establish new approximation results, in the sense of Lusin, of Sobolev functions by Lipschitz ones, in some classes of non-doubling metric measure structures.
Bo-Shi Wang (805841) +10 more
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Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley +1 more source
Coupling methods for random topological Markov chains
, 2014 We apply coupling techniques in order to prove that the transfer operators associated with random topological Markov chains and non-stationary shift spaces with the big images and preimages-property have a spectral gap.Comment: 17 ...
Stadlbauer, Manuel
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source