Results 1 to 10 of about 173,275 (99)
Some Observations on Dirac Measure-Preserving Transformations and their Results [PDF]
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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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]
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
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]
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
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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Zero Krengel Entropy does not kill Poisson Entropy [PDF]
We prove that the notions of Krengel entropy and Poisson entropy for infinite-measure-preserving transformations do not always coincide: We construct a conservative infinite-measure-preserving transformation with zero Krengel entropy (the induced ...
De La Rue, Thierry, Janvresse, Élise
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Biinvariant functions on the group of transformations leaving a measure quasiinvariant [PDF]
Let $Gms$ be the group of transformations of a Lebesgue space leaving the measure quasiinvariant, let $Ams$ be its subgroup consisting of transformations preserving the measure.
Neretin, Yuri A.
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Norm convergence of nilpotent ergodic averages [PDF]
We show that multiple polynomial ergodic averages arising from nilpotent groups of measure preserving transformations of a probability space always converge in the L^2 norm.Comment: 17 pages.
Walsh, Miguel N.
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Towers for commuting endomorphisms, and combinatorial applications [PDF]
We give an elementary proof of a generalization of Rokhlin's lemma for commuting non-invertible measure-preserving transformations, and we present several combinatorial applications.Comment: 13 pages. Referee's comments incorporated. To appear in Annales
Avila, Artur, Candela, Pablo
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