and ergodic theory
On ergodic theory in non-archimedean settings
... In mathematics, it is natural to ask when two mathematical objects of the same class are in some sense ‘the same’, which can be referred to as the isomorphism problem. In ergodic theory, this problem is to ...
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Cutting and stacking in ergodic theory
... I am very thankful to my thesis adviser, Professor Idris Assani, for his guidance, support and patience. Under his instruction I have gained a deeper understanding of mathematics during my graduate career at UNC Chapel ...
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Descriptive Set Theory and the Ergodic Theory of Countable Groups
... the ergodic theory of countable groups A (probability-)measure preserving action of a (discrete) countably infinite group Γ on (X, µ) is a homomorphism a : Γ → A (X, ...an ergodic theoretic analogue ...
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Some problems in ergodic theory
... Markov chains, under which there exists a family of smooth maps from the manifold to itself and a probability measure on them such that applying the maps at random according to the proba[r] ...
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Flows of stochastic dynamical systems : ergodic theory of stochastic flows
... In Chapter 2 we define the Lyapunov spectrum for the stochastic flow Theorem 2.1 and obtain analogues Theorems 2.2.1, 2.2.2 for the stochastic flow, of the stable manifold theorems of Ru[r] ...
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Finite and infinite ergodic theory for linear and conformal dynamical systems
... the theory of complex functions - the Riemann Mapping Theo- rem, sometimes called the First Uniformization Theorem - that every simply connected Riemann surface is conformally equivalent to one of C , C ∪ {∞} or D ...
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On invariant means and applications to ergodic theory and harmonic analysis
... In this section we shall show that for any locally compact group not necessarily Abelian it is possible to obtain the existence of invariant means on the group W*-algebra in such a way t[r] ...
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Approximation and Classification in the Ergodic Theory of Nonamenable Groups
... Let G be a countable discrete sofic group, ( X, µ ) a standard probability space and T : G y X a measurable G-action preserving µ. In [14], Lewis Bowen defined the sofic entropy of (X, µ, T) relative to a sofic ...
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On the ergodic theory of cellular automata and two dimensional Markov shifts generated by them
... rl The unfolding parameter space is divided into regions according to the mode that bifurby increasing the Rayleigh number from zero.. The result, obtained numerically, cates is as..[r] ...
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On the metric theory of numbers in non-Archimedean settings
... number theory is a branch of number theory which studies and characterizes sets of numbers with fixed arithmetic properties from a probabilistic or measure-theoretic point of ...this theory is to ...
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5079.pdf
... The usefulness of entropy in ergodic theory arises from the fact that it is an isomorphism invariant. That is, if two probability-preserving transformations are iso- morphic, then they have the same ...
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The Effect Of Emphasizing Key Vocabulary On Student Achievement With English Learners
... On the other hand, in ergodic theory, chaos usually refers to the mixing properties of a dynamical system as time tends to infinity. In this thesis, a relationship is derived between classical Kac’s chaos ...
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Birkhoff’s individual ergodic theorem and maximal ergodic theorem for fuzzy dynamical systems
... Ergodic theory is currently rapidly and massively developing area of theoretical and ap- plied mathematical ...research. Ergodic theory theorems are studied in many structures, es- pecially, ...
8
Uniform scaling limits for ergodic measures
... that ergodic measures are uniformly scaling is at least implicit in other works, in particular [H1, F2], and even explicit in [H2, Section 3] in the setting of interval ...
14
Mixing properties of the generalized T,T^-1-process
... Another interesting direction is related to `induced systems'. For exam- ple, in 13] the following problem is studied. We again have a random walk and a random coloring, where the latter is assumed to be stationary but ...
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Planar self affine sets with equal Hausdorff, box and affinity dimensions
... from ergodic theory along with properties of the Furstenberg mea- sure we obtain conditions under which certain classes of plane self-affine sets have Hausdorff or box-counting dimensions equal to their ...
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Asymptotic expansion of closed geodesics in homology classes
... Liu, Asymptotic expansion for closed orbits in homology classes for Anosov flows, Math.. Margulis, On some applications of ergodic theory to the study of manifolds of negative curvature, [r] ...
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CHARACTERIZATION OF LORENZ-LIKE SYSTEM AND ESTIMATION OF MAXIMUM LYAPUNOV EXPONENT
... the ergodic theory of deterministic dynamical systems in order to develop a new test to detect chaotic dynamics in time series and computed the largest Lyapunov exponent using a robust version of the ...
11
Research Article Differentiability Properties of the Pre-Image Pressure
... The theory related to the topological pressure, varia- tional principle, and equilibrium states plays a fundamental role in statistical mechanics, ergodic theory, and dynamical systems s[r] ...
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Entropy and Information Theory Robert M Gray pdf
... in ergodic theory because of joint work with Lee ...The ergodic decomposition theorem discussed in Ornstein [115] provided a needed missing link and led to an intense campaign on my part to learn the ...
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