The rearrangement inequality for the ergodic maximal function.
Ephremidze, L. (2001)
Georgian Mathematical Journal
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Ephremidze, L. (2001)
Georgian Mathematical Journal
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Marian Jabłoński
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Let be a sequence of measure preserving transformations of a probability space (Ω,Σ,P) into itself and let be a sequence of elements of with . It is shown that the distribution oftends to the normal distribution N(0,1) as n → ∞. 1985 Mathematics Subject Classification: 58F11, 60F05, 28D99.
Ryotaro Sato (2006)
Commentationes Mathematicae Universitatis Carolinae
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Using the ratio ergodic theorem for a measure preserving transformation in a -finite measure space we give a straightforward proof of Derriennic’s reverse maximal inequality for the supremum of ergodic ratios.
Shahidi, F.A. (2009)
Sibirskij Matematicheskij Zhurnal
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Arfi, Mounir (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Jonathan Mattingly (2003)
Journées équations aux dérivées partielles
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We give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations. Since our desire is to make the core ideas clear, we will mostly work with a specific example : the stochastically forced Navier Stokes equations. To further clarify ideas, we will also examine in detail a toy problem. A few general theorems are given. Spatial regularity, ergodicity,...
Afrouzi, G.A., Heidarkhani, S., Hossienzadeh, H., Yazdani, A. (2010)
The Journal of Nonlinear Sciences and its Applications
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Haribash, Najemedin (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Boer, Anne Fey-Den, Liu, Haiyan, Meester, Ronald (2009)
Electronic Journal of Probability [electronic only]
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Filip, Ferdinánd, Šustek, Jan (2010)
Acta Universitatis Sapientiae. Mathematica
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B. Przeradzki (1992)
Annales Polonici Mathematici
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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.