Search Results - "Okuda, Takayuki"
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Approximation of integration over finite groups, difference sets and association schemes
Published in Journal of algebraic combinatorics (01-08-2023)“…Let G be a finite group and f : G → C be a function. For a non-empty finite subset Y ⊂ G , let I Y ( f ) denote the average of f over Y . Then, I G ( f ) is…”
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Non-existence and Construction of Pre-difference Sets, and Equi-Distributed Subsets in Association Schemes
Published in Graphs and combinatorics (01-09-2021)“…In the previous work, we introduce a notion of pre-difference sets in a finite group G defined by weaker conditions than the difference sets. In this paper we…”
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On the spectrum and linear programming bound for hypergraphs
Published in European journal of combinatorics (01-08-2022)“…The spectrum of a graph is closely related to many graph parameters. In particular, the spectral gap of a regular graph which is the difference between its…”
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Quantum Circuits for Exact Unitary t -Designs and Applications to Higher-Order Randomized Benchmarking
Published in PRX quantum (01-09-2021)“…A unitary t-design is a powerful tool in quantum information science and fundamental physics. Despite its usefulness, only approximate implementations were…”
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Drosophila carrying pex3 or pex16 mutations are models of Zellweger syndrome that reflect its symptoms associated with the absence of peroxisomes
Published in PloS one (03-08-2011)“…The peroxisome biogenesis disorders (PBDs) are currently difficult-to-treat multiple-organ dysfunction disorders that result from the defective biogenesis of…”
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Explicit construction of exact unitary designs
Published in Advances in mathematics (New York. 1965) (27-08-2022)“…In this paper, we first provide an inductive construction of designs on compact groups G from those on subgroups K when (G,K) is a Gelfand pair. We then use…”
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Spherical designs of harmonic index t
Published in Journal of approximation theory (01-07-2015)“…Spherical t-design is a finite subset on sphere such that, for any polynomial of degree at most t, the average value of the integral on sphere can be replaced…”
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A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4
Published in European journal of combinatorics (01-04-2016)“…We give a new upper bound for the cardinality of a set of equiangular lines in Rn with a fixed common angle θ for each (n,θ) satisfying certain conditions. Our…”
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Some remarks on real minimal nilpotent orbits and symmetric pairs
Published 30-06-2024“…For a non-compact simple Lie algebra $\mathfrak{g}$ over $\mathbb{R}$, we denote by $\mathcal{O}^{\mathbb{C}}_{\min,\mathfrak{g}}$ the unique complex nilpotent…”
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A proof of Kobayashi's properness criterion from a viewpoint of metric geometry
Published 27-04-2023“…Let $G$ be a locally-compact group and $(H,L)$ a pair of closed subgroups of $G$. For the cases where $G$ is a real linear reductive Lie group, T. Kobayashi…”
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Zariski dense discontinuous surface groups for reductive symmetric spaces
Published 15-09-2023“…Let $G/H$ be a homogeneous space of reductive type with non-compact $H$. The study of deformations of discontinuous groups for $G/H$ was initiated by…”
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12
Abundance of nilpotent orbits in real semisimple Lie algebras
Published 08-12-2016“…We formulate and prove that there are "abundant" in nilpotent orbits in real semisimple Lie algebras, in the following sense. If S denotes the collection of…”
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Functoriality of Bose-Mesner algebras and profinite association schemes
Published 16-07-2022“…We show that taking the set of primitive idempotents of commutative association schemes is a functor from the category of commutative association schemes with…”
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14
Relation between spherical designs through a Hopf map
Published 28-06-2015“…Cohn--Conway--Elkies--Kumar [Experiment. Math. (2007)] described that one can construct a family of designs on $S^{2n-1}$ from a design on $\mathbb{CP}^{n-1}$…”
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Homogeneous space with non virtually abelian discontinuous groups but without any proper SL(2,R)-action
Published 07-03-2015“…In the study of discontinuous groups for non-Riemannian homogeneous spaces, the idea of "continuous analogue" gives a powerful method (T. Kobayashi [Math. Ann…”
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Educational Effects in Mathematics: Conditional Average Treatment Effect depending on the Number of Treatments
Published 03-11-2024“…This study examines the educational effect of the Academic Support Center at Kogakuin University. Following the initial assessment, it was suggested that group…”
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Smallest complex nilpotent orbits with real points
Published 27-02-2014“…Journal of Lie Theory 25 (2015), No. 2, 507--533 Let us fix a complex simple Lie algebra and its non-compact real form. This paper focuses on non-zero adjoint…”
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Approximation of integration over finite groups, difference sets and association schemes
Published 02-03-2019“…Let $G$ be a finite group and $f:G \to {\mathbb C}$ be a function. For a non-empty finite subset $Y\subset G$, let $I_Y(f)$ denote the average of $f$ over $Y$…”
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19
Explicit construction of exact unitary designs
Published 23-09-2020“…The purpose of this paper is to give explicit constructions of unitary $t$-designs in the unitary group $U(d)$ for all $t$ and $d$. It seems that the explicit…”
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Singular fibers in barking families of degenerations of elliptic curves
Published 08-05-2012“…"Singularities in Geometry and Topology 2011", Adv. Stud. Pure Math., Vol. 66, Math. Soc. Japan (2015), 203--256 Takamura established a theory on splitting…”
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