35 citations · 56 across the 7 of their papers we have counts for
7 papers
Painlevé-III Monodromy Maps Under the Confluence and Applications to the Large-Parameter Asymptotics of Rational Solutions
Ahmad Barhoumi, Oleg Lisovyy, Peter D. Miller +1
The third Painlevé equation in its generic form, often referred to as Painlevé-III(), is given by $$ \frac{{\rm d}^2u}{{\rm d}x^2} =\frac{1}{u}\left(\frac{{\rm d}u}{{\rm d}x}\…
Differential equations for the KPZ and periodic KPZ fixed points
Jinho Baik, Andrei Prokhorov, Guilherme L. F. Silva
The KPZ fixed point is a 2d random field, conjectured to be the universal limiting fluctuation field for the height function of models in the KPZ universality class. Similarly, the…
On Tracy-Widom distribution and the second Calogero-Painlevé system
Alexander Its, Andrei Prokhorov
The Calogero-Painlevé systems were introduced in 2001 by K. Takasaki as a natural generalization of the classical Painlevé equations to the case of the several Painlevé ``particles…
The Maxwell operator with periodic coefficients in a cylinder
N. Filonov, A. Prokhorov
In the paper we consider the Maxwell operator in a three-dimensional cylinder with coefficients periodic along the axis of a cylinder. It is proved that for cylinders with circular…
On the analysis of incomplete spectra in random matrix theory through an extension of the Jimbo-Miwa-Ueno differential
Thomas Bothner, Alexander Its, Andrei Prokhorov
Several distribution functions in the classical unitarily invariant matrix ensembles are prime examples of isomonodromic tau functions as introduced by Jimbo, Miwa and Ueno (JMU) i…
Connection problem for the tau-function of the Sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach
Alexander Its, Andrei Prokhorov
We evaluate explicitly, in terms of the Cauchy data, the constant pre-factor in the large asymptotics of the Painlevé III tau-function. Our result proves the conjectural formul…
Regularity of electromagnetic fields in convex domains
N. Filonov, A. Prokhorov
In this paper the "strong" Maxwell operator defined on fields from the Sobolev space , and the "weak" Maxwell operator defined on the natural domain are considered. It is sh…