Results 21 to 30 of about 188,178 (326)

Homogenization of nonlinear stochastic partial differential equations in a general ergodic environment [PDF]

, 2013
In this paper, we show that the concept of sigma-convergence associated to stochastic processes can tackle the homogenization of stochastic partial differential equations.
Bensoussan A., Bensoussan A., Besicovitch A.S., Bohr H., Bourbaki N., Dunford N., Jean Louis Woukeng, Lions J.L., Paul André Razafimandimby, Sango M., Zhikov V.V.   +10 more
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Almost periodic random sequences in probability

Nonautonomous Dynamical Systems, 2017
This paper is concerned with almost periodic random sequences in probability. Some basic and fundamental properties of such sequences are established.
Bezandry Paul H.
doaj   +1 more source

Nonlinear Volatility of River Flux Fluctuations [PDF]

, 2002
We study the spectral properties of the magnitudes of river flux increments, the volatility. The volatility series exhibits (i) strong seasonal periodicity and (ii) strongly power-law correlations for time scales less than one year. We test the nonlinear
A. Becker, A. Bunde, C.K. Peng, C.N. Kroll, D.L. Turcotte, E. Koscielny-Bunde, G. Pandey, H.E. Hurst, J.W. Kantelhardt, R.U. Murdock, T. Schreiber, Y. Ashkenazy, Y. Ashkenazy, Y. Tessier, Y.H. Liu   +14 more
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Logarithmic bounds for Roth's theorem via almost-periodicity

Discrete Analysis, 2019
Logarithmic bounds for Roth's theorem via almost-periodicity, Discrete Analysis 2019:4, 20pp. A central result of additive combinatorics, Roth's theorem, asserts that for every $\delta>0$ there exists $N$ such that every subset of $\{1,2,\dots,N\}$ of ...
Thomas Bloom, Olof Sisask
doaj   +1 more source

DEFINITIONS OF ALMOST PERIODICITY [PDF]

Far East Journal of Mathematical Sciences (FJMS), 2017
18 ...
openaire   +2 more sources

Notes on almost-periodicity in topological vector spaces

International Journal of Mathematics and Mathematical Sciences, 1986
A study is made of almost-periodic functions in topological vector spaces with applications to abstract differential equations.
Gaston Mandata N'guérékata
doaj   +1 more source

Mean ergodicity vs weak almost periodicity

, 2018
We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
core   +1 more source

Cocycles and Almost Periodicity [PDF]

Journal of the London Mathematical Society, 1987
Let G be a compact abelian group containing, as a dense subgroup, the image of \({\mathbb{R}}\) by a continuous injective homomorphism, say \(\alpha\). A cocycle on G is defined here as a unitary \((=\) of modulus 1) continuous function on \(G\times {\mathbb{R}}\) satisfying the identity \(Y(g,s+t)=Y(g,s)Y(g+\alpha (s),t)\). A cocycle is called trivial
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Multi-almost periodicity and invariant basins of general neural networks under almost periodic stimuli

, 2009
In this paper, we investigate convergence dynamics of $2^N$ almost periodic encoded patterns of general neural networks (GNNs) subjected to external almost periodic stimuli, including almost periodic delays.
Berman, Brucoli, Cao, Cao, Cao, Carbone, Chen, Chen, Cheng, Cheng, Chua, Chua, Civalleri, Demir, Fang, Feng, Feng, Fink, Forti, Forti, Forti, Foss, Gilli, Gilli, Gopalsamy, Gopalsamy, Guo, He, Hopfield, Horn, Huang, Huang, Huang, Huang, Huang, Huang, Huang, Jiang, Juang, Lanza, Liao, Liu, Liu, Lu, Lu, Mohamad, Petras, Petrás, Roska, Shayer, Shih, Shih, Song, Takhashi, Zeng, Zhao, Zhao   +56 more
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Generalized Almost Periodicity in Measure

Mathematics
This paper investigates diverse classes of multidimensional Weyl and Doss ρ-almost periodic functions in a general measure setting. This study establishes the fundamental structural properties of these generalized ρ-almost periodic functions, extending ...
Marko Kostić, Wei-Shih Du, Halis Can Koyuncuoğlu, Daniel Velinov   +3 more
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