Zobrazeno 1 - 10
of 129
pro vyhledávání: '"Alexander Its"'
Publikováno v:
Bulletin of the American Mathematical Society. 59:155-173
This is a survey of Harold Widom’s work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy’s groundbreaking results concerning the distribution functions of random matrix theo
Autor:
Alexander Its, Elizabeth Its
Publikováno v:
Letters in Mathematical Physics. 111
We show, how the Riemann–Hilbert approach to the elastodynamic equations, which have been suggested in our preceding papers, works in the half plane case. We pay a special attention to the emergence of the Rayleigh waves within the scheme.
Publikováno v:
Letters in Mathematical Physics. 110:297-325
We derive the large-distance asymptotics of the Fredholm determinant of the so-called generalized sine kernel at the critical point. This kernel corresponds to a generalization of the pure sine kernel arising in the theory of random matrices and has
We prove the analogue of the strong Szeg{\H o} limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang and Perk \cite{YP} for the next-to-diagonal correlations $\langle \sigm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c99c454e6036efb1f84ef3c527367a8d
http://arxiv.org/abs/2011.14561
http://arxiv.org/abs/2011.14561
Autor:
Roozbeh Gharakhloo, Alexander Its
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
In this paper we will formulate $4\times4$ Riemann-Hilbert problems for Toeplitz+Hankel determinants and the associated system of orthogonal polynomials, when the Hankel symbol is supported on the unit circle and also when it is supported on an inter
Autor:
György Pál Gehér, Jani Virtanen, Francesco Mezzadri, M. Y. Mo, L. Brightmore, Vladimir E. Korepin, Alexander Its
Publikováno v:
Brightmore, L, Gehér, G P, Its, A R, Korepin, V E, Mezzadri, F, Mo, M Y & Virtanen, J A 2020, ' Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermions ', Journal of Physics A: Mathematical and Theoretical, vol. 53, no. 34, 345303 . https://doi.org/10.1088/1751-8121/ab9cf2
We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.1004}, for the reduced density of states of two disjoint intervals with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca493f8148bfbe069dad26cfa5129d64
https://hdl.handle.net/1983/a48b69e3-1850-46cd-a950-d8925d694360
https://hdl.handle.net/1983/a48b69e3-1850-46cd-a950-d8925d694360
Autor:
V. G. Farafonov, Tatiana Aleksandrovna Suslina, Alexander Its, Alexander K. Motovilov, Alexander Fedotov, A. Ya. Kazakov, I. V. Andronov, Sergei Leonidovich Yakovlev
Publikováno v:
Theoretical and Mathematical Physics. 201:1543-1544
Autor:
Alexander Its, Aleksandr Yakovlevich Kazakov, Sergei Leonidovich Yakovlev, Alexander K. Motovilov, Aleksandr Aleksandrovich Fedotov, Viktor Georgievich Farafonov, Ivan Victorovich Andronov, Tatiana Aleksandrovna Suslina
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 201:151-152
Autor:
Elizabeth Its, Robert Buckingham, Pavel Bleher, Jon P Keating, Tamara Grava, Alexander Its, Estelle L. Basor
Publikováno v:
Basor, E, Bleher, P, Buckingham, R, Grava, T, Its, A, Its, E & Keating, J P 2019, ' A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions ', Nonlinearity, vol. 32, no. 10, pp. 4033-4078 . https://doi.org/10.1088/1361-6544/ab28c7
Nonlinearity
Nonlinearity
We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the sigma-Painleve V equation. The derivation involves the analysis of a formula for the joint mom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d6403eec31354d73d05495e14c8b8e7
http://hdl.handle.net/20.500.11767/103996
http://hdl.handle.net/20.500.11767/103996
Autor:
Nicolai Reshetikhin, Alexander Its
Publikováno v:
Journal of Mathematical Physics, 59(9):091201. American Institute of Physics
Ludwig Faddeev made fundamental contributions to the development of a number of areas of mathematical physics. There are several major topics in mathematical physics that originated with work by Faddeev or were revolutionized by his and his school’