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Ergodic theory with applications to systems of differential equationsWilson, Donald Elliott 08 1900 (has links)
No description available.
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An Application of the ergodic theorem to information theoryHadden, Lon Day 05 1900 (has links)
No description available.
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Ergodic measures for a class of horocycle flowsKenny, Patrick J. January 1983 (has links)
Let (GAMMA) be a discrete group of hyperbolic isometries having a fundamental polygon with finitely many sides and no cusps. We show that the associated horocycle flow admits just one ergodic measure which is not concentrated on a single orbit. We use ergodicity of this measure to calculate the ratio set of the Patterson measure of (GAMMA).
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Approximation theorems in ergodic theoryPrasad, Vidhu S. January 1973 (has links)
No description available.
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The Szemeredi property in noncommutative dynamical systemsBeyers, Frederik Johannes Conradie. January 2009 (has links)
Thesis (Ph.D.(Mathematics and Applied Mathematics))--University of Pretoria, 2008. / Includes bibliographical references.
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Ergodic averages, correlation sequences, and sumsetsGriesmer, John Thomas. January 2009 (has links)
Thesis (Ph. D.)--Ohio State University, 2009. / Title from first page of PDF file. Includes vita. Includes bibliographical references (p. 220-225).
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A survey of ergodic theoremsWillett, Helen M. January 1963 (has links)
Thesis (M.A.)--Boston University
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Joinings and relative ergodic properties of W*-dynamical systemsKing, Malcolm Bruce January 2019 (has links)
We prove a characterization of relative weak mixing in W*-dynamical systems in terms of a relatively independent joining. We then define a noncommutative version of relative discrete spectrum, show that it generalizes
both the classical and noncommutative absolute cases and give examples.
Chapter 1 reviews the GNS construction for normal states, the related
semicyclic representation on von Neumann algebras, Tomita-Takasaki theory and conditional expectations. This will allow us to define, in the tracial case, the basic construction of Vaughan Jones and its associated lifted
trace. Dynamics is introduced in the form of automorphisms on von Neumann algebras, represented using the cyclic and separating vector and then
extended to the basic construction.
In Chapter 2, after introducing a relative product system, we discuss
relative weak mixing in the tracial case. We give an example of a relative
weak mixing W*-dynamical system that is neither ergodic nor asymptotically abelian, before proving the aforementioned characterization.
Chapter 3 defines relative discrete spectrum as complementary to relative weak mixing. We motivate the definition using work from Chapter 2.
We show that our definition generalizes the classical and absolute noncommutative case of isometric extensions and discrete spectrum, respectively.
The first example is a skew product of a classical system with a noncommutative one. The second is a purely noncommutative example of a tensor
product of a W*-dynamical system with a finite-dimensional one. / Thesis (PhD)--University of Pretoria, 2019. / Pilot Programme Top-Up Bursary, Department of Mathematics and Applied Mathematics, University of Pretoria. / Mathematics and Applied Mathematics / PhD / Unrestricted
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Convergence of averages in Ergodic Theory /Butkevich, Sergey January 2000 (has links)
No description available.
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Some theorems on category of transformations and on existence of invariant measures for operators /Sachdeva, Usha January 1970 (has links)
No description available.
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