Search Results - "KATORI, Makoto"
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Zeros of the i.i.d. Gaussian Laurent Series on an Annulus: Weighted Szegő Kernels and Permanental-Determinantal Point Processes
Published in Communications in mathematical physics (30-03-2022)“…On an annulus A q : = { z ∈ C : q < | z | < 1 } with a fixed q ∈ ( 0 , 1 ) , we study a Gaussian analytic function (GAF) and its zero set which defines a point…”
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Elliptic determinantal process of type A
Published in Probability theory and related fields (01-08-2015)“…We introduce an elliptic extension of Dyson’s Brownian motion model, which is a temporally inhomogeneous diffusion process of noncolliding particles defined on…”
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3
Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes
Published in Physica A (01-11-2021)“…The most studied continuum percolation model in two dimensions is the Boolean model consisting of disks with the same radius whose centers are randomly…”
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Elliptic Determinantal Processes and Elliptic Dyson Models
Published in Symmetry, integrability and geometry, methods and applications (04-10-2017)“…We introduce seven families of stochastic systems of interacting particles in one-dimension corresponding to the seven families of irreducible reduced affine…”
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Determinantal Martingales and Correlations of Noncolliding Random Walks
Published in Journal of statistical physics (01-04-2015)“…We study the noncolliding random walk (RW), which is a particle system of one-dimensional, simple and symmetric RWs starting from distinct even sites and…”
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Three-Parametric Marcenko–Pastur Density
Published in Journal of statistical physics (01-03-2020)“…The complex Wishart ensemble is the statistical ensemble of M × N complex random matrices with M ≥ N such that the real and imaginary parts of each element are…”
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Survival Probability of Mutually Killing Brownian Motions and the O’Connell Process
Published in Journal of statistical physics (01-04-2012)“…Recently O’Connell introduced an interacting diffusive particle system in order to study a directed polymer model in 1+1 dimensions. The infinitesimal…”
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Determinantal Process Starting from an Orthogonal Symmetry is a Pfaffian Process
Published in Journal of statistical physics (01-01-2012)“…When the number of particles N is finite, the noncolliding Brownian motion (BM) and the noncolliding squared Bessel process with index ν >−1 (BESQ ( ν ) ) are…”
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Noncolliding Brownian Motion and Determinantal Processes
Published in Journal of statistical physics (01-12-2007)Get full text
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Self-Elongation with Sequential Folding of a Filament of Bacterial Cells
Published in Journal of the Physical Society of Japan (15-11-2015)Get full text
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Stochastic model showing a transition to self-controlled particle-deposition state induced by optical near-fields
Published in Applied physics. B, Lasers and optics (01-08-2015)“…We study a stochastic model for the self-controlled particle-deposition process induced by optical near-fields. This process was experimentally realized by…”
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Maximum distributions of bridges of noncolliding Brownian paths
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-11-2008)“…One-dimensional Brownian motion starting from the origin at time t=0 , conditioned to return to the origin at time t=1 and to stay positive during time…”
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13
Velocity correlations of a discrete-time totally asymmetric simple-exclusion process in stationary state on a circle
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (31-10-2011)“…The discrete-time version of totally asymmetric simple-exclusion process (TASEP) on a finite one-dimensional lattice is studied with the periodic boundary…”
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14
A Missing Link Between a High Salt Intake and Blood Pressure Increase
Published in Journal of Pharmacological Sciences (01-01-2006)“…It is widely accepted that a high sodium intake triggers blood pressure rise. However, only one-third of the normotensive subjects were reported to show…”
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15
Zeros of Airy Function and Relaxation Process
Published in Journal of statistical physics (01-09-2009)“…One-dimensional system of Brownian motions called Dyson’s model is the particle system with long-range repulsive forces acting between any pair of particles,…”
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Complex Brownian motion representation of the Dyson model
Published in Electronic communications in probability (12-01-2013)Get full text
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Two-Dimensional Elliptic Determinantal Point Processes and Related Systems
Published in Communications in mathematical physics (01-11-2019)“…We introduce new families of determinantal point processes (DPPs) on a complex plane C , which are classified into seven types following the irreducible…”
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Cyclo‐oxygenase‐2 enhances basic fibroblast growth factor‐induced angiogenesis through induction of vascular endothelial growth factor in rat sponge implants
Published in British journal of pharmacology (01-06-2000)“…Angiogenesis is reportedly enhanced by prostaglandins (PGs). In the present study, we investigated whether or not cyclo‐oxygenase (COX)‐2 mediated angiogenesis…”
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Infinite systems of noncolliding generalized meanders and Riemann-Liouville differintegrals
Published in Probability theory and related fields (01-05-2007)“…Yor’s generalized meander is a temporally inhomogeneous modification of the 2(ν + 1)-dimensional Bessel process with ν > − 1, in which the inhomogeneity is…”
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A Novel Category of Anti-Hypertensive Drugs for Treating Salt-Sensitive Hypertension on the Basis of a New Development Concept
Published in Pharmaceuticals (07-01-2010)“…Terrestrial animals must conserve water and NaCl to survive dry environments. The kidney reabsorbs 95% of the sodium filtered from the glomeruli before sodium…”
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