Results 11 to 20 of about 23,064 (196)
Cesàro and Abel ergodic theorems for integrated semigroups
Concrete Operators, 2021 Let {S(t)}t≥ 0 be an integrated semigroup of bounded linear operators on the Banach space 𝒳 into itself and let A be their generator. In this paper, we consider some necessary and sufficient conditions for the Cesàro mean and the Abel average of S(t ...
Barki Fatih
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Polynomial sequences in discrete nilpotent groups of step 2
Advanced Nonlinear Studies, 2023 We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular integrals operators, an almost everywhere pointwise convergence theorem ...
Ionescu Alexandru D. +3 more
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Ergodic characterization of nonergodic anomalous diffusion processes
Physical Review Research, 2023 Anomalous diffusion in various complex systems abounds in nature and spans multiple space and time scales. Canonical characterization techniques that rely upon mean squared displacement break down for nonergodic processes, making it challenging to ...
Madhur Mangalam +2 more
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Abstract and Applied Analysis, 2006 Generators f for σ-algebras can be used to view the dynamics of an invertible measurable transformation T in terms of the range values of f∘T. Such generators are the norm rather than the exception.
Svetlana Butler, Joseph Rosenblatt
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Iterative methods for monotone nonexpansive mappings in uniformly convex spaces
Advances in Nonlinear Analysis, 2021 We show the nonlinear ergodic theorem for monotone 1-Lipschitz mappings in uniformly convex spaces: if C is a bounded closed convex subset of an ordered uniformly convex space (X, ∣·∣, ⪯), T:C → C a monotone 1-Lipschitz mapping and x ⪯ T(x), then the ...
Shukla Rahul, Wiśnicki Andrzej
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Polynomially moving ergodic averages [PDF]
Proceedings of the American Mathematical Society, 1988 Given an increasing sequence of positive integers { m n } \left \{ {{m_n}} \right \} , a non-decreasing sequence of positive integers { b n }
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Repeat-station surveys: implications from chaos and ergodicity of the recent geomagnetic field
Annals of Geophysics, 2013 The present geomagnetic field is chaotic and ergodic: chaotic because it can no longer be predicted beyond around 6 years; and ergodic in the sense that time averages correspond to phase-space averages.
Angelo De Santis +2 more
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Slow Convergences of Ergodic Averages
Mathematical Notes, 2023 Birkhoff's theorem states that for an ergodic automorphism, the time averages converge to the space average. Given sequence $ψ(n)\to+0$, U. Krengel proved that for any ergodic automorphism there is an indicator such that the corresponding time averages converged a.e. with a rate slower than $ψ$. We prove again similar statements answering a question of
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Uniform Convergence of Cesaro Averages for Uniquely Ergodic C*-Dynamical Systems
Entropy, 2018 Consider a uniquely ergodic C * -dynamical system based on a unital *-endomorphism Φ of a C * -algebra. We prove the uniform convergence of Cesaro averages 1 n ∑ k = 0 n − 1 λ − n Φ ...
Francesco Fidaleo
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Symmetric Spaces of Measurable Functions: Old and New Advances
Современная математика: Фундаментальные направления, 2020 The article is an extensive review in the theory of symmetric spaces of measurable functions. It contains a number of new (recent) and old (known) results in this field.
M. A. Muratov, B.-Z. A. Rubshtein
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