Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 146 for “"ergodic"”.
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Convergence in Ergodic Theory
… two problems involving convergence in ergodic theory. The first problem is the following: Given a measure preserving transformation T and a weight function w(alpha) → 0 as alpha → 0, is there a p > 0 such that the expression w(alpha)#{ n : 1n k=1nfT kx >a } have a limit, a.s. …
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Divergence in Ergodic Theory
Let (X, B , P) be a non-atomic probability space and let T be an invertible measure-preserving transformation of ( X, B , P). Fix a sequence (mk ) in Z and let f ∈ Lp( X), 1 ≤ p ≤ infinity. We know that, depending on what the powers are, the averages 1n k=1nfTmk x may or may not converge …
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Ergodic properties of countable extensions
<p>First, we study countably piecewise continuous, piecewise monotone interval maps. We establish a necessary and sufficient criterion for the existence of a non-decreasing semiconjugacy to an interval map of constant slope in terms of the existence of an eigenvector of an operator acting on a …
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A reciprocity theorem for ergodic actions,
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1971.
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Pointwise Relations Between Ergodic Averages and Martingales
It is known that the ergodic averages An 4 , in the context of the shift action on Z , satisfy pointwise inequalities of the form An4≤CE4 &vbm0;Fn+E4 &vbm0;Gn , where {Fn}n ≥ 1 and {Gn} n ≥ 1 are decreasing sequences of sigma-algebras on Z . In this thesis we extend this by examining …
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Pointwise ergodic theorems via descriptive set theory
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-05-01
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Qualitative and Quantitative Analysis of Weighted Ergodic Theorems
… some time, concerns the validity of the weighted ergodic theorem with Besicovitch weights. This, again, was known to hold in the duality range; however, we prove here that the result fails for each pair of nondual indices. The positive results we obtain are about stationary sequences with finite …
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The Convergence of Lebesgue Derivatives and Ergodic Averages
… processes are Lebesgue differentiation or ergodic averages. In Chapter 2, we prove the appropriate sublinear operator interpolation between the weak type (1, 1) estimate and the strong estimate from Linfinity to BMO. In Chapter 3, we prove that these operators map Linfinity to BMO and are …
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H(p) Spaces and Inequalities in Ergodic Theory
This thesis combines the theory of ergodic Hp spaces, singular integral operators and the theory of Banach space-valued operators to establish a new method to study the inequalities for the operators induced by an ergodic, measure preserving transformation. This method also indicates the close …
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Information security based on temporal order and ergodic matrix
… by a literature review of temporal basis, ergodic matrix, cryptography and information hiding. After these tools are introduced, they are used to show how they can be applied in our research. The main part of this thesis is about using ergodic matrix and temporal logic in cryptography and …
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Solidarity and ergodic properties of semi-Markov transition probabilities
… chapter the solidarity nature of geometric ergodicity within an irreducible class is examined, and necessary and sufficient conditions are derived for geometric ergodicity in the particular case of a process with a finite state space. In chapter three it is shown that the Laplace transforms …
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Solidarity and ergodic properties of semi-Markov transition probabilities
… chapter the solidarity nature of geometric ergodicity within an irreducible class is examined, and necessary and sufficient conditions are derived for geometric ergodicity in the particular case of a process with a finite state space. In chapter three it is shown that the Laplace transforms …
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Partitioning Uncertainty for Non-Ergodic Probabilistic Seismic Hazard Analyses
… are designed for long return period motions. Non-ergodic PSHA is a framework that allows for this proper accounting of uncertainties. This, in turn, allows for more informed decisions by designers, owners and regulating agencies. The ergodic assumption implies that the standard deviation …
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On the Ergodic Theorem in Dynamical Systems With Variant Measure
Made available in DSpace on 2014-12-05T21:50:06Z (GMT). No. of bitstreams: 1 0018136.pdf: 908469 bytes, checksum: 59132c13b64126a2a61c68518db2282a (MD5) Previous issue date: 1956
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Analytic and ergodic properties of certain classes of Euclidean algorithms
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms
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Geometric and ergodic properties of certain classes of continued fractions
Made available in DSpace on 2019-11-26T20:33:47Z (GMT). No. of bitstreams: 2 MERRIMAN-DISSERTATION-2019.pdf: 3545539 bytes, checksum: 1ceb6dccbf49a654427e8d1f15d2be3d (MD5) LICENSE.txt: 4212 bytes, checksum: b6441bf949f57dfb6f36245b79c18128 (MD5) Previous issue date: 2019-07-08
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Statistical Properties of Transmission Spectra of Ergodic Wave Billiards: Random Hamiltonian Approach
… body coupled to a waveguide, i.e. in an open ergodic system. A simple model predicts a Porter-Thomas-like distribution of level widths and corresponding nonexponential dissipation, a behavior largely confirmed by measurements. For the case of fully open channels, however, measurements deviate …
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Extrinsic uncertainty, ergodic chaos and monetary policy in two intertemporal economic models
The thesis examines extrinsic uncertainty and ergodic chaos in two types of intertemporal economic models. The thesis is divided into four chapters. In the first chapter the existence of extrinsic uncertainty also known as sunspots is analysed within the framework of a single commodity two-period …
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