Results 1 to 10 of about 11,660 (134)
On the Approximation of Koopman Spectra for Measure Preserving Transformations [PDF]
SIAM Journal on Applied Dynamical Systems, 2019 For the class of continuous, measure-preserving automorphisms on compact metric spaces, a procedure is proposed for constructing a sequence of finite-dimensional approximations to the associated Koopman operator on a Hilbert space. These finite-dimensional approximations are obtained from the so-called "periodic approximation" of the underlying ...
Igor Mezic +2 more
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Models for measure preserving transformations
Topology and Its Applications, 2010 This is an attractive survey of some recent work of the author, Dan Rudolph and Benjamin Weiss on classification problems in ergodic theory from the point of view of set theory. A particular focus is how statements about the complexity or the genericity of a dynamical property (for example, mixing, weak-mixing, zero entropy, and so on) or a dynamically
Matthew Foreman
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Some Observations on Dirac Measure-Preserving Transformations and their Results [PDF]
Sahand Communications in Mathematical Analysis, 2019 Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space.
Azadeh Alijani, Zohreh Nazari
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Remote Sensing, 2022 In supervised deep learning, learning good representations for remote-sensing images (RSI) relies on manual annotations. However, in the area of remote sensing, it is hard to obtain huge amounts of labeled data.
Qinglin Li +3 more
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Observational Modeling of the Kolmogorov-Sinai Entropy [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical ...
Uosef Mohammadi
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Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems
Mathematics, 2020 A central role in the variational principle of the measure preserving transformations is played by the topological pressure. We introduce subadditive pre-image topological pressure and pre-image measure-theoretic entropy properly for the random bundle ...
Xianfeng Ma, Zhongyue Wang, Hailin Tan
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Experimental analysis of wavelet decomposition on edge detection; pp. 284–298 [PDF]
Proceedings of the Estonian Academy of Sciences, 2019 The influence of different wavelet transformations and decomposition on edge detection was examined, using convenient operators to images of various complexities. Berkeley Segmentation Database images with the corresponding ground truth were used.
Vladimir Maksimovic +4 more
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A decomposition of multicorrelation sequences for commuting transformations along primes
Discrete Analysis, 2021 A decomposition of multicorrelation sequences for commuting transformations along primes, Discrete Analysis 2021:4, 27 pp. Szemerédi's theorem asserts that for every positive integer $k$ and every $\delta>0$ there exists $n$ such that every subset of $\
Anh N. Le, Joel Moreira, Florian Richter
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Fourier Transforms and Measure-Preserving Transformations [PDF]
Proceedings of the American Mathematical Society, 1974 There exists a continuous function f f on the real line, vanishing at infinity, such that, for every measure-preserving ...
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Ergodicity Space for Measure-Preserving Transformations [PDF]
Chinese Journal of Mathematics, 2016 We introduce the concept of ergodicity space of a measure-preserving transformation and will present some of its properties as an algebraic weight for measuring the size of the ergodicity of a measure-preserving transformation. We will also prove the invariance of the ergodicity space under conjugacy of dynamical systems.
M. Rahimi, A. Assari
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