Hermite-Padé approximations and multiple orthogonal polynomial ensembles
AI Aptekarev, A Kuijlaars - Russian Mathematical Surveys, 2011 - iopscience.iop.org
This paper is concerned with Hermite-Padé rational approximants of analytic functions and
their connection with multiple orthogonal polynomial ensembles of random matrices. Results …
their connection with multiple orthogonal polynomial ensembles of random matrices. Results …
Аппроксимации Эрмита–Паде и ансамбли совместно ортогональных многочленов
АИ Аптекарев, А Койэлаарс - Успехи математических наук, 2011 - mathnet.ru
Аппроксимации Эрмита--Паде и ансамбли совместно ортогональных многоч Page 1
2011 г. ноябрь — декабрь т. 66, вып. 6 (402) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК …
2011 г. ноябрь — декабрь т. 66, вып. 6 (402) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК …
Critical behavior of nonintersecting Brownian motions at a tacnode
S Delvaux, ABJ Kuijlaars… - Communications on pure …, 2011 - Wiley Online Library
We study a model of n one‐dimensional, nonintersecting Brownian motions with two
prescribed starting points at time t= 0 and two prescribed ending points at time t= 1 in a …
prescribed starting points at time t= 0 and two prescribed ending points at time t= 1 in a …
Gap probability for the hard edge Pearcey process
The hard edge Pearcey process is universal in random matrix theory and many other
stochastic models. This paper deals with the gap probability for the thinned/unthinned hard …
stochastic models. This paper deals with the gap probability for the thinned/unthinned hard …
The local universality of Muttalib–Borodin biorthogonal ensembles with parameter
ABJ Kuijlaars, LD Molag - Nonlinearity, 2019 - iopscience.iop.org
Abstract The Muttalib–Borodin biorthogonal ensemble is a probability density function for n
particles on the positive real line that depends on a parameter and an external field. For we …
particles on the positive real line that depends on a parameter and an external field. For we …
Singular values for products of complex Ginibre matrices with a source: hard edge limit and phase transition
PJ Forrester, DZ Liu - Communications in Mathematical Physics, 2016 - Springer
The singular values squared of the random matrix product Y= G_ r G_ r-1 ... G_ 1 (G_ 0+ A)
Y= G r G r-1… G 1 (G 0+ A), where each G_ j G j is a rectangular standard complex …
Y= G r G r-1… G 1 (G 0+ A), where each G_ j G j is a rectangular standard complex …
Random surface growth with a wall and Plancherel measures for O (∞)
A Borodin, J Kuan - Comm. Pure Appl. Math, 2010 - authors.library.caltech.edu
We consider a Markov evolution of lozenge tilings of a quarter-plane and study its
asymptotics at large times. One of the boundary rays serves as a reflecting wall. We observe …
asymptotics at large times. One of the boundary rays serves as a reflecting wall. We observe …
Asymptotics of the hard edge Pearcey determinant
We study the Fredholm determinant of an integral operator associated to the hard edge
Pearcey kernel. This determinant appears in a variety of random matrix and nonintersecting …
Pearcey kernel. This determinant appears in a variety of random matrix and nonintersecting …
The Symplectic Schur Process
C Cuenca, M Mucciconi - arXiv preprint arXiv:2407.02415, 2024 - arxiv.org
We define a measure on tuples of partitions, called the symplectic Schur process, that
should be regarded as the right analogue of the Schur process of Okounkov-Reshetikhin for …
should be regarded as the right analogue of the Schur process of Okounkov-Reshetikhin for …
The local universality of Muttalib–Borodin ensembles when the parameter θ is the reciprocal of an integer
LD Molag - Nonlinearity, 2021 - iopscience.iop.org
Abstract The Muttalib–Borodin ensemble is a probability density function for n particles on
the positive real axis that depends on a parameter θ and a weight w. We consider a varying …
the positive real axis that depends on a parameter θ and a weight w. We consider a varying …