The \(k\)-tacnode process (Q2273599)

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scientific article

Language	Label	Description	Also known as
English	The \(k\)-tacnode process	scientific article

Statements

scholarly article

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The \(k\)-tacnode process (English)

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Robert J. Buckingham

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publication date

24 September 2019

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full work available at URL

https://arxiv.org/abs/1709.07141

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MaRDI profile type

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Dyson's nonintersecting Brownian motions with a few outliers

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A PDE for non-intersecting Brownian motions and applications

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Nonintersecting random walks in the neighborhood of a symmetric tacnode

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Double Aztec diamonds and the tacnode process

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Universality for the Pearcey process

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Painlevé formulas of the limiting distributions for nonnull complex sample covariance matrices

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Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices

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On the Largest Eigenvalue of a Hermitian Random Matrix Model with Spiked External Source II: Higher Rank Cases

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Zeros of Large Degree Vorob’ev–Yablonski Polynomials via a Hankel Determinant Identity

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Spectra of random Hermitian matrices with a small-rank external source: the critical and near-critical regimes

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The gap probabilities of the tacnode, Pearcey and Airy point processes, their mutual relationship and evaluation

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First colonization of a spectral outpost in random matrix theory

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Large \(n\) limit of Gaussian random matrices with external source. III: Double scaling limit

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Uniform Asymptotics for Discrete Orthogonal Polynomials with Respect to Varying Exponential Weights on a Regular Infinite Lattice

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Nonintersecting Brownian bridges on the unit circle with drift

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The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix

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Large-degree asymptotics of rational Painlevé-II functions: critical behaviour

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Solitonic Asymptotics for the Korteweg–de Vries Equation in the Small Dispersion Limit

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Multi-critical unitary random matrix ensembles and the general Painlevé II equation

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On the quasi-Ablowitz–Segur and quasi-Hastings–McLeod solutions of the inhomogeneous Painlevé II equation

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Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval

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Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.

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Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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Asymptotics for the painlevé II equation

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Non-intersecting squared Bessel paths at a hard-edge tacnode

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The Tacnode Kernel: Equality of Riemann–Hilbert and Airy Resolvent Formulas

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Universality and critical behaviour in the chiral two-matrix model

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Critical behavior of nonintersecting Brownian motions at a tacnode

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A note on biorthogonal ensembles

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A critical phenomenon in the two-matrix model in the quartic/quadratic case

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Matrices coupled in a chain: I. Eigenvalue correlations

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Non-colliding Brownian bridges and the asymmetric tacnode process

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Monodromy- and spectrum-preserving deformations. I

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Discrete Painlevé equations and their appearance in quantum gravity

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Binomial determinants, paths, and hook length formulae

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Transitions Between Critical Kernels: From the Tacnode Kernel and Critical Kernel in the Two-Matrix Model to the Pearcey Kernel

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Asymptotics of the tacnode process: a transition between the gap probabilities from the tacnode to the Airy process

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Zero distribution of complex orthogonal polynomials with respect to exponential weights

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Quasi-linear Stokes phenomenon for the second Painlev transcendent

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II

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Non-colliding Brownian motions and the extended tacnode process

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Coincidence probabilities

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The tacnode Riemann-Hilbert problem

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Non-intersecting squared Bessel paths: Critical time and double scaling limit

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Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials

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Nonintersecting Brownian motions on the unit circle

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Two Lax systems for the Painlevé II equation, and two related kernels in random matrix theory

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Nonintersecting Brownian bridges between reflecting or absorbing walls

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On the Vector Representations of Induced Matroids

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Level-spacing distributions and the Airy kernel

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The Pearcey process

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Nonintersecting Brownian excursions

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Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00440-018-0885-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:2273599

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