Results 111 to 120 of about 94,647 (164)
ABSTRACT In this paper, we propose a new test for the detection of a change in a non‐linear (auto‐)regressive time series as well as a corresponding estimator for the unknown time point of the change. To this end, we consider an at‐most‐one‐change model and approximate the unknown (auto‐)regression function by a neural network with one hidden layer. It
Claudia Kirch, Stefanie Schwaar
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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For directly comparing experimental results on gas‐phase ion reactions with the predictions from quantum chemical calculations, the latter must first be converted into rate constants. This review addresses the question of whether current methods of statistical rate theory can accomplish this task reliably. Statistical rate theory has long been used for
Thomas Auth, Konrad Koszinowski
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Continuity of the orthogeodesic foliation and ergodic theory of the earthquake flow
In a previous paper, the authors extended Mirzakhani’s (almost-everywhere defined) measurable conjugacy between the earthquake and horocycle flows to a measurable bijection.
Aaron Calderon, James Farre
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Tensor product random matrix theory
The evolution of complex correlated quantum systems such as random circuit networks is governed by the dynamical buildup of both entanglement and entropy.
Alexander Altland +2 more
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Recent Contributions to the Ergodic Theory [PDF]
Birkhoff, G. D., Koopman, B. O.
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APPROXIMATIONS IN ERGODIC THEORY
Russian Mathematical Surveys, 1967CONTENTSIntroductionPart I. The method of approximations § 1. Definitions and examples § 2. Approximations, ergodicity and mixing § 3. Approximations and the spectrum § 4. Approximations and entropy § 5. Fibre bundles § 6. Flows § 7. Some unsolved problemsPart II. Applications § 8. Shifting of intervals § 9.
Katok, A. B., Stepin, A. M.
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Canadian Journal of Mathematics, 1999
AbstractMany aspects of the behavior of averages in ergodic theory are a matter of counting the number of times a particular event occurs. This theme is pursued in this article where we consider large deviations, square functions, jump inequalities and related topics.
Jones, Roger L. +2 more
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AbstractMany aspects of the behavior of averages in ergodic theory are a matter of counting the number of times a particular event occurs. This theme is pursued in this article where we consider large deviations, square functions, jump inequalities and related topics.
Jones, Roger L. +2 more
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AN ERGODIC THEORY OF CONSCIOUSNESS
International Journal of Bifurcation and Chaos, 2009It has been suggested that the properties of "integration" and "differentiation" are necessary for the emergence of consciousness. We present a dynamical system model that is based on these two conditions. The collection of neurons are partitioned into clusters on which we define a map that reflects the communication between clusters.
Abraham Boyarsky, Pawel Góra
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