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Some Observations on Dirac Measure-Preserving Transformations and their Results [PDF]

open access: yesSahand 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
doaj   +1 more source

Clustering-Based Representation Learning through Output Translation and Its Application to Remote-Sensing Images

open access: yesRemote 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
doaj   +1 more source

Observational Modeling of the Kolmogorov-Sinai Entropy [PDF]

open access: yesSahand 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
doaj   +1 more source

Subadditive Pre-Image Variational Principle for Bundle Random Dynamical Systems

open access: yesMathematics, 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
doaj   +1 more source

Experimental analysis of wavelet decomposition on edge detection; pp. 284–298 [PDF]

open access: yesProceedings 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
doaj   +1 more source

A decomposition of multicorrelation sequences for commuting transformations along primes

open access: yesDiscrete 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
doaj   +1 more source

Zero Krengel Entropy does not kill Poisson Entropy [PDF]

open access: yes, 2010
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
core   +4 more sources

Biinvariant functions on the group of transformations leaving a measure quasiinvariant [PDF]

open access: yes, 2014
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.
core   +1 more source

Norm convergence of nilpotent ergodic averages [PDF]

open access: yes, 2011
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.
core   +2 more sources

Towers for commuting endomorphisms, and combinatorial applications [PDF]

open access: yes, 2016
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
core   +3 more sources

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