Semicircular elements induced by p-adic number fields [PDF]
Opuscula Mathematica, 2017 In this paper, we study semicircular-like elements, and semicircular elements induced by \(p\)-adic analysis, for each prime \(p\). Starting from a \(p\)-adic number field \(\mathbb{Q}_{p}\), we construct a Banach \(*\)-algebra \(\mathfrak{LS}_{p}\), for
Ilwoo Cho, Palle E. T. Jorgensen
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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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Banach *-algebras generated by semicircular elements induced by certain orthogonal projections [PDF]
Opuscula Mathematica, 2018 The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections in a \(C^{*}\)
Ilwoo Cho, Palle E. T. Jorgensen
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Banach-Space Operators Acting on Semicircular Elements Induced by p-Adic Number Fields over Primes p
Mathematics, 2019 In this paper, we study certain Banach-space operators acting on the Banach *-probability space ( LS , τ 0 ) generated by semicircular elements Θ p , j induced by p-adic number fields Q p over the set P of all
Ilwoo Cho
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An Improved Approximation for Maximum Weighted k-Set Packing [PDF]
ACM-SIAM Symposium on Discrete Algorithms, 2023 We consider the weighted $k$-set packing problem, in which we are given a collection of weighted sets, each with at most $k$ elements and must return a collection of pairwise disjoint sets with maximum total weight.
Theophile Thiery, J. Ward
semanticscholar +1 more source
Eigenvalues of block structured asymmetric random matrices [PDF]
, 2015 We study the spectrum of an asymmetric random matrix with block structured variances. The rows and columns of the random square matrix are divided into $D$ partitions with arbitrary size (linear in $N$).
Aljadeff, Johnatan +2 more
core +1 more source
Rigid C^*-tensor categories of bimodules over interpolated free group factors [PDF]
, 2012 Given a countably generated rigid C^*-tensor category C, we construct a planar algebra P whose category of projections Pro is equivalent to C. From P, we use methods of Guionnet-Jones-Shlyakhtenko-Walker to construct a rigid C^*-tensor category Bim whose
Arnaud Brothier +10 more
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Recent laboratory tests of a hard x-ray solar flare polarimeter [PDF]
, 1999 We report on the development of a Compton scatter polarimeter for measuring the linear polarization of hard X-rays (50 - 300 keV) from solar flares. Such measurements would be useful for studying the directivity (or beaming) of the electrons that are ...
Macri, John R +3 more
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A local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices [PDF]
, 2013 Our main result is a local limit law for the empirical spectral distribution of the anticommutator of independent Wigner matrices, modeled on the local semicircle law.
Anderson, Greg W.
core +5 more sources
Cochlear Implant Outcomes and Genetic Mutations in Children with Ear and Brain Anomalies [PDF]
, 2015 Background. Specific clinical conditions could compromise cochlear implantation outcomes and drastically reduce the chance of an acceptable development of perceptual and linguistic capabilities.
Aimoni, C +8 more
core +4 more sources