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Schreier Graphs and Ergodic Properties of Boundary ActionsCannizzo, Jan January 2014 (has links)
This thesis is broadly concerned with two problems: investigating the ergodic properties of boundary actions, and investigating various properties of Schreier graphs. Our main result concerning the former problem is that, in a variety of situations, the action of an invariant random subgroup of a group G on a boundary of G (e.g. the hyperbolic boundary, or the Poisson boundary) is conservative (there are no wandering sets). This addresses a question asked by Grigorchuk, Kaimanovich, and Nagnibeda and establishes a connection between invariant random subgroups and normal subgroups. We approach the latter problem from a number of directions (in particular, both in the presence and the absence of a probability measure), with an emphasis on what we term Schreier structures (edge-labelings of a given graph which turn it into a Schreier coset graph). One of our main results is that, under mild assumptions, there exists a rich space of invariant Schreier structures over a given unimodular graph structure, in that this space contains uncountably many ergodic measures, many of which we are able to describe explicitly.
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Contributions to the ergodic theory of semi-Markovian operations /Fong, Humphrey Sek-Ching January 1969 (has links)
No description available.
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Local ergodic theorems for N-parameter semigroups of contraction operators /Terrell, Thomas Richard,1945- January 1971 (has links)
No description available.
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Ergodic type theorems in operator AlgebrasSchwartz, Larisa 30 November 2006 (has links)
No abstract / Mathematical Sciences / (D. Phil. (Mathematics))
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Ergodic properties of ß-expansions. / Ergodic properties of beta-expansionsJanuary 2009 (has links)
Lam, Ho Yin Theodore. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 59-60). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 2 --- Shift spaces and Symbolic Dynamical systems --- p.8 / Chapter 2.1 --- Shift spaces --- p.8 / Chapter 2.2 --- Symbolic dynamical systems --- p.10 / Chapter 3 --- β-expansion --- p.12 / Chapter 3.1 --- Expansion of real numbers --- p.12 / Chapter 3.2 --- Ergodic theory of f-expansion with independent digits --- p.16 / Chapter 3.3 --- β-expansion --- p.22 / Chapter 3.3.1 --- Ergodic theory of β-expansion --- p.22 / Chapter 3.3.2 --- Properties of β-expansion --- p.28 / Chapter 3.3.3 --- The normalizing function F(β) --- p.34 / Chapter 4 --- Symbolic Dynamics of β-expansion --- p.40 / Chapter 4.1 --- The symbolic dynamical system Sβ --- p.40 / Chapter 4.2 --- Classification of β and properties of Sβ --- p.42 / Chapter 5 --- Sizes of the classes --- p.49 / Chapter 5.1 --- Sizes of C1 and C2 --- p.49 / Chapter 5.2 --- "Sizes of C3, C4 and C5" --- p.50 / Bibliography --- p.59
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First passage percolation, a Berry-Esseen theorem for U-statistics, and optimal stopping.Wierman, John Charles, January 1976 (has links)
Thesis (Ph. D.)--University of Washington. / Bibliography: l. 99-100.
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Ueber Ketohalogenverbindungen des Phenols und der KresoleJilke, Theodor, January 1903 (has links)
Inaug. Diss.--Marburg.
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Some results on recurrence and entropyPavlov, Ronald Lee. January 2007 (has links)
Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 162-164).
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Ergodic type theorems in operator AlgebrasSchwartz, Larisa 30 November 2006 (has links)
No abstract / Mathematical Sciences / (D. Phil. (Mathematics))
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Equidistribution of expanding measures with local maximal dimension and Diophantine ApproximationShi, Ronggang 14 July 2009 (has links)
No description available.
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