Results 1 to 10 of about 66,990 (118)
Universal Sample Size Invariant Measures for Uncertainty Quantification in Density Estimation [PDF]
Entropy, 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
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A note on invariant measures [PDF]
Opuscula 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
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Conservation Laws and Invariant Measures in Surjective Cellular Automata [PDF]
Discrete 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
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Macdonald Formula, Ricci Curvature, and Concentration Locus for Classical Compact Lie Groups
Axioms, 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
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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
Mathematics, 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
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Decomposition of Finitely Additive Markov Chains in Discrete Space
Mathematics, 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
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Soliton Decomposition of the Box-Ball System
Forum 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
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Monte Carlo and Quasi Monte Carlo Approach to Ulam's Method for Position Dependent Random Maps
Communications in Advanced Mathematical Sciences, 2020 We consider position random maps $T=\{\tau_1(x),\tau_2(x),\ldots, \tau_K(x); p_1(x),p_2(x),\ldots,p_K(x)\}$ on $I=[0, 1],$ where $\tau_k, k=1, 2, \dots, K$ is non-singular map on $[0,1]$ into $[0, 1]$ and $\{p_1(x),p_2(x),\ldots,p_K(x)\}$ is a set of
Md Shafiqul Islam
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Karpatsʹkì Matematičnì Publìkacìï, 2018 The idempotent mathematics is a part of mathematics in which arithmetic operations in the reals are replaced by idempotent operations. In the idempotent mathematics, the notion of idempotent measure (Maslov measure) is a counterpart of the notion of ...
N. Mazurenko, M. Zarichnyi
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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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