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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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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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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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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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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Ergodic theory of G spaces
... In ti1e last section, the addi tion theorem \;as proved for endomorphisms of totally disconnected groups, Lie gropps and finite-dimensional abeliun groupso In order to be able to usc the[r] ...
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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, ...
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Approximating the maximum ergodic average via periodic orbits
... in ergodic theory, both intrinsically [1, 2, 6, 8] and in application to existing problems [3, 4, ...compute ergodic averages of f along periodic orbits of length up to n, and take the supremum of ...
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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 ...
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On conditional mean ergodic semigroups of random linear operators
... the theory of RN modules together with their random conjugate spaces have undergone a systematic and deep development [–], in particular the random reflexivity based on the theory of random conjugate ...
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Extraction of Signals Buried in Noise: Non Ergodic Processes
... Here, we extend above results obtained for ergodic sta- tionary processes to processes for which ergodic hy- pothesis cannot be validated or satisfied. We consider therefore that we have a collection of ...
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Solidarity and ergodic properties of semi-Markov transition probabilities
... geometrically ergodic.) That we succeed is due, to a large extent, to lemma 4.1 of [ 3C8. Pyke showed by the lemma that if m < °°, then there can be at most a finite number of transitions in any finite period ...
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New particle representations for ergodic McKean-Vlasov SDEs
... Recently new promising classes of algorithms based on the theory of gradient flows takes the form of McKean- Vlasov ODEs or SDEs [S ¸LMD18,Ber18,Liu17]. To turn them into practical algorithms one needs to ...
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A simple locally interactive model of ergodic and nonergodic growth
... ri frpsohphqwdulwlhv lv phdvxuhg e| wkh suredelolw| wkdw d up xvhv wkh kljk whfkqrorj| dw wlph w/ jlyhq wkdw vrph qhljkerulqj upv zhuh xvlqj wkh orz whfkqrorj| dw wlph w 4= D orz ydoxh [r] ...
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Non-Ergodic Convergence Analysis of Heavy-Ball Algorithms
... nonsmooth function as suggested by (Lessard, Recht, and Packard 2016). Different from the classical gradient de- scent methods, the Heavy-ball algorithm fails to gener- ate a Fej´er monotone sequence. In the convex and ...
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ERGODIC CHANNEL CAPACITY OF MULTIPLE INPUT MULTIPLE OUTPUT SYSTEM
... In Fig2 illustrates that the Ergodic CC with respect to Signal to Noise Ratio (SNR) with five different possible cases. Where observed that these are 1Tx&1Rx. 1Tx. &2Rx, 2Tx&1Rx, 2Tx&2Rx, 4Tx ...
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