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INVARIANT MEASURES CONCENTRATED ON COUNTABLE STRUCTURES [PDF]

open access: yesForum of Mathematics, Sigma, 2016
Let $L$ be a countable language. We say that a countable infinite $L$
NATHANAEL ACKERMAN   +2 more
doaj   +4 more sources

Universal Sample Size Invariant Measures for Uncertainty Quantification in Density Estimation [PDF]

open access: yesEntropy, 2019
Previously, we developed a high throughput non-parametric maximum entropy method (PLOS ONE, 13(5): e0196937, 2018) that employs a log-likelihood scoring function to characterize uncertainty in trial probability density estimates through a scaled quantile
Jenny Farmer   +3 more
doaj   +2 more sources

A note on invariant measures [PDF]

open access: yesOpuscula Mathematica, 2011
The aim of the paper is to show that if \(\mathcal{F}\) is a family of continuous transformations of a nonempty compact Hausdorff space \(\Omega\), then there is no \(\mathcal{F}\)-invariant probabilistic Borel measures on \(\Omega\) iff there are ...
Piotr Niemiec
doaj   +1 more source

Editorial: Measurement Invariance [PDF]

open access: yesFrontiers in Psychology, 2015
Multi-item surveys are frequently used to study scores on latent factors, like human values, attitudes, and behavior. Such studies often include a comparison, between specific groups of individuals or residents of different countries, either at one or multiple points in time (i.e., a cross-sectional or a longitudinal comparison or both).
Rens eVan De Schoot   +8 more
openaire   +8 more sources

Macdonald Formula, Ricci Curvature, and Concentration Locus for Classical Compact Lie Groups

open access: yesAxioms, 2022
We consider the phenomenon of concentration of measures, which is restricted to the case of families of compact connected Lie groups. While in the literature, powerful general results regarding the existence of concentration and its relations to extremal
Sergio Cacciatori, Pietro Ursino
doaj   +1 more source

Conservation Laws and Invariant Measures in Surjective Cellular Automata [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
We discuss a close link between two seemingly different topics studied in the cellular automata literature: additive conservation laws and invariant probability measures.
Jarkko Kari, Siamak Taati
doaj   +1 more source

Quantum Invariant Measures [PDF]

open access: yesCommunications in Mathematical Physics, 2001
We derive an explicit expression for the Haar integral on the quantized algebra of regular functions C_q[K] on the compact real form K of an arbitrary simply connected complex simple algebraic group G. This is done in terms of the irreducible *-representations of the Hopf *-algebra C_q[K]. Quantum analogs of the measures on the symplectic leaves of the
Reshetikhin, Nicolai, Yakimov, Milen
openaire   +2 more sources

Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition

open access: yesMathematics, 2023
In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
doaj   +1 more source

Decomposition of Finitely Additive Markov Chains in Discrete Space

open access: yesMathematics, 2022
In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
doaj   +1 more source

Soliton Decomposition of the Box-Ball System

open access: yesForum of Mathematics, Sigma, 2021
The box-ball system (BBS) was introduced by Takahashi and Satsuma as a discrete counterpart of the Korteweg-de Vries equation. Both systems exhibit solitons whose shape and speed are conserved after collision with other solitons.
Pablo A. Ferrari   +3 more
doaj   +1 more source

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