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Showing 1 to 11 of 11 for “"ergodic properties"”.
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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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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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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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Examples and Applications of Infinite Iterated Function Systems
… systems. More specifically, we investigate some properties of a limit set J associated to such system, its Hausdorff and packing measure and Hausdorff dimension. We provide necessary and sufficient conditions for such systems to be bi-Lipschitz equivalent. We use the concept of scaling functions …
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d-bar continuity beyond subshifts of finite type
… this proof was the $\overline{d}$-metric. Many ergodic properties are well-behaved with respect to this metric. The entropy function $\mu \mapsto h_{\mu}(\sigma)$ is $\overline{d}$-continuous. Moreover, the set of processes that are isomorphic to Bernoulli shifts is $\overline{d}$-closed. The …
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Combining Physics-based Modeling, Machine Learning, and Data Assimilation for Forecasting Large, Complex, Spatiotemporally Chaotic Systems
… and that (b) correctly capture the long-term ergodic properties of the true system, as desired in climate modeling. We aim to leverage two types of information in making our forecasts: incomplete scientific knowledge in the form of an imperfect forecast model, and past observations of the true …
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Applications of dynamical systems to Farey sequences and continued fractions
… explores three main topics in the application of ergodic theory and dynamical systems to equidistribution and spacing statistics in number theory. The first is concerned with utilizing the ergodic properties of the horocycle flow in SL(2,R) to study the spacing statistics of Farey fractions. For a …
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The Billiard problem
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5)
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Dynamic response of thin-walled composite structures with application to aircraft wings
… to be Gaussian, having both stationary and ergodic properties. The evaluation of the response to the random load is carried out in the frequency domain by relating the Power Spectral Density (PSD) of the output to that of the input using the complex frequency response function. A number of …