Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Cafasso, M."'
Publikováno v:
Commun. Math. Phys. (2019) 365: 741
We define a tau function for a generic Riemann-Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood. The tau function depends on parameters of the jumps and is expressed as the Fr
Externí odkaz:
http://arxiv.org/abs/1712.08546
Autor:
Bertola, M., Cafasso, M.
Publikováno v:
Random Matrices: Theory Appl. Volume 02, Issue 02, April 2013
We express the gap probabilities of the tacnode process as the ratio of two Fredholm determinants; the denominator is the standard Tracy-Widom distribution, while the numerator is the Fredholm determinant of a very explicit kernel constructed with Ai
Externí odkaz:
http://arxiv.org/abs/1303.2894
Publikováno v:
AMS Contemporary Mathematics: volume 593, 2013
String equations related to 2D gravity seem to provide, quite naturally and systematically, integrable kernels, in the sense of Its-Izergin-Korepin and Slavnov. Some of these kernels (besides the "classical" examples of Airy and Pearcey) have already
Externí odkaz:
http://arxiv.org/abs/1207.6341
Autor:
Bertola, M., Cafasso, M.
Publikováno v:
Physica D, 241, 2012, 2237-2245
We prove that matrix Fredholm determinants related to multi-time processes can be expressed in terms of determinants of integrable kernels \`a la Its-Izergin-Korepin-Slavnov (IIKS) and hence related to suitable Riemann-Hilbert problems, thus extendin
Externí odkaz:
http://arxiv.org/abs/1104.4940
Publikováno v:
Physica D, 241, 2012, 2265-2284
Airy and Pearcey-like kernels and generalizations arising in random matrix theory are expressed as double integrals of ratios of exponentials, possibly multiplied with a rational function. In this work it is shown that such kernels are intimately rel
Externí odkaz:
http://arxiv.org/abs/1104.4268
Autor:
Bertola, M., Cafasso, M.
Publikováno v:
Comm Math Phys, February 2012, Volume 309, Issue 3, pp 793-833
We extend the formalism of integrable operators a' la Its-Izergin-Korepin-Slavnov to matrix-valued convolution operators on a semi-infinite interval and to matrix integral operators with a kernel of the form E_1^T(x) E_2(y)/(x+y) thus proving that th
Externí odkaz:
http://arxiv.org/abs/1101.3997
Autor:
Bertola, M., Cafasso, M.
Publikováno v:
Int Math Res Notices (2012) Vol. 2012 1519-1568
We consider the gap probability for the Pearcey and Airy processes; we set up a Riemann--Hilbert approach (different from the standard one) whereby the asymptotic analysis for large gap/large time of the Pearcey process is shown to factorize into two
Externí odkaz:
http://arxiv.org/abs/1005.4083
Publikováno v:
In Physica D: Nonlinear Phenomena 1 December 2012 241(23-24):2265-2284
Autor:
Bertola, M., Cafasso, M.
Publikováno v:
In Physica D: Nonlinear Phenomena 1 December 2012 241(23-24):2237-2245
Autor:
Cafasso, M.1 cafasso@math.univ-angers.fr, Gavrylenko, P.2,3,4 pasha145@gmail.com, Lisovyy, O.5 lisovyi@lmpt.univ-tours.fr
Publikováno v:
Communications in Mathematical Physics. Jan2019, Vol. 365 Issue 2, p741-772. 32p.