Results 31 to 40 of about 601,728 (278)

A fractional Brownian field indexed by $L^2$ and a varying Hurst parameter [PDF]

open access: yes, 2014
Using structures of Abstract Wiener Spaces, we define a fractional Brownian field indexed by a product space $(0,1/2] \times L^2(T,m)$, $(T,m)$ a separable measure space, where the first coordinate corresponds to the Hurst parameter of fractional ...
Richard, Alexandre
core   +5 more sources

Generalized Space-Time Fractional Stochastic Kinetic Equation

open access: yesFractal and Fractional, 2022
In this paper, we study a class of nonlinear space-time fractional stochastic kinetic equations in Rd with Gaussian noise which is white in time and homogeneous in space.
Junfeng Liu, Zhigang Yao, Bin Zhang
doaj   +1 more source

Coupling methods for random topological Markov chains

open access: yes, 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
core   +1 more source

Fractional integrals and hypersingular integrals in variable order Hölder spaces on homogeneous spaces

open access: yesJournal of Function Spaces and Applications, 2010
We consider non-standard Hölder spaces Hλ(⋅)(X) of functions f on a metric measure space (X, d, μ), whose Hölder exponent λ(x) is variable, depending on x ∈ X.
Natasha Samko   +2 more
doaj   +1 more source

An optimal transportation approach to the decay of correlations for non-uniformly expanding maps

open access: yes, 2022
We consider the transfer operators of non-uniformly expanding maps for potentials of various regularity, and show that a specific property of potentials ("flatness") implies a Ruelle-Perron-Frobenius Theorem and a decay of the transfer operator of the ...
Kloeckner, Benoît
core  

Optimal partial regularity of very weak solutions to nonhomogeneous A-harmonic systems

open access: yesJournal of Inequalities and Applications, 2017
We study partial regularity of very weak solutions to some nonhomogeneous A-harmonic systems. To obtain the reverse Hölder inequality of the gradient of a very weak solution, we construct a suitable test function by Hodge decomposition.
Qing Zhao, Shuhong Chen
doaj   +1 more source

Hölder continuity of weak solutions of p-Laplacian PDEs with VMO coefficients [PDF]

open access: yesNonlinear Analysis, 2019
We consider solutions u ∈ W 1 , p ( Ω ; R N ) of the p -Laplacian PDE ∇ ⋅ ( a ( x ) | D u | p − 2 D u ) = 0 , for x ∈ Ω ⊆ R n , where Ω is open and bounded.
C. Goodrich, M. Ragusa
semanticscholar   +1 more source

Some sample path properties of multifractional Brownian motion

open access: yes, 2014
The geometry of the multifractional Brownian motion (mBm) is known to present a complex and surprising form when the Hurst function is greatly irregular.
Balança, Paul
core   +3 more sources

Hölder continuity of Oseledets splittings for semi-invertible operator cocycles [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2016
For Hölder continuous cocycles over an invertible, Lipschitz base, we establish the Hölder continuity of Oseledets subspaces on compact sets of arbitrarily large measure.
D. Dragičević, Gary Froyland
semanticscholar   +1 more source

Geometry and Measurement in Otto Hölder’s Epistemology

open access: yesPhilosophia Scientiæ, 2013
The aim of the paper is to analyze Hölder’s understanding of geometry and measurement presented in Intuition and Reasoning [Hölder 1900], “The Axioms of Quantity and the Theory of Measurement” [Hölder 1901], and The Mathematical Method [Hölder 1924]. The
Paola Cantù
doaj   +1 more source

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