Primes in Intervals and Semicircular Elements Induced by p-Adic Number Fields
Mathematics, 2019 In this paper, we study free probability on (weighted-)semicircular elements in a certain Banach *-probability space ( LS , τ 0 ) induced by measurable functions on p-adic number fields Q p over primes p .
Ilwoo Cho, Palle Jorgensen
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Free probability induced by electric resistance networks on energy Hilbert spaces [PDF]
Opuscula Mathematica, 2011 We show that a class of countable weighted graphs arising in the study of electric resistance networks (ERNs) are naturally associated with groupoids.
Ilwoo Cho, Palle E. T. Jorgensen
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Most Probably Intersecting Families of Subsets [PDF]
, 2012 Let F be a family of subsets of an n-element set. It is called intersecting if every pair of its members has a non-disjoint intersection. It is well known that an intersecting family satisfies the inequality vertical bar F vertical bar
Katona, Gyula +2 more
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DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2006 We construct a sequence of states called m-monotone product states which give a discrete interpolation between the monotone product of states of Muraki in monotone probability and the free product of states of Avitzour and Voiculescu in free probability.
Lenczewski, Romuald, Sałapata, Rafał
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Operation State Evaluation Method of Smart Distribution Network Based on Free Probability Theory
Frontiers in Energy Research, 2022 In view of the current situation that the new generation of smart grids with “double high” characteristics is in urgent need of effective state evaluation methods due to the characteristics of strong volatility and diverse demands, a method of operation ...
Jiaxin Zhang +6 more
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Free motion time-of-arrival operator and probability distribution [PDF]
, 1999 We reappraise and clarify the contradictory statements found in the literature concerning the time-of-arrival operator introduced by Aharonov and Bohm in Phys. Rev. {\bf 122}, 1649 (1961).
A. Galindo +31 more
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Free probability for purely discrete eigenvalues of random matrices [PDF]
Journal of the Mathematical Society of Japan, 2015 In this paper, we study random matrix models which are obtained as a non-commutative polynomial in random matrix variables of two kinds: (a) a first kind which have a discrete spectrum in the limit, (b) a second kind which have a joint limiting ...
B. Collins +2 more
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Universal probability-free prediction [PDF]
Annals of Mathematics and Artificial Intelligence, 2017 27 ...
Vladimir Vovk, Dusko Pavlovic
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Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
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Free probability of type B and asymptotics of finite-rank perturbations of random matrices [PDF]
, 2015 We show that finite rank perturbations of certain random matrices fit in the framework of infinitesimal (type B) asymptotic freeness. This can be used to explain the appearance of free harmonic analysis (such as subordination functions appearing in ...
D. Shlyakhtenko
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