5 papers
Asymptotics of Polynomials Orthogonal on an Interval with Varying Weights
Sergey A. Denisov, Maxim L. Yattselev
We study strong asymptotics of orthogonal polynomials on an interval with varying weights, extending the framework of Totik's theorem on weighted orthogonal polynomials. Our result…
Transition asymptotics for the real solutions of the sinh-Gordon Painlevé III equation
Kenta Miyahara, Maxim L. Yattselev
We consider solutions of the sinh-Gordon Painlevé III equation \[ u_{xx} + \frac{1}{x} u_x = \sinh u \] that are real on . They are parametrized by the monodromy param…
Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited
Noah Hout, Kenta Miyahara, Dustin Newland +1
Following the work of Deift and Zhou (DOI:10.1007/978-1-4615-2474-8_15), we analyze the long-time asymptotics of the autocorrelation function of the transverse Ising chain at the c…
Soliton Synchronization with Randomness: Rogue Waves and Universality
Manuela Girotti, Tamara Grava, Robert Jenkins +3
We consider an -soliton solution of the focusing nonlinear Schrödinger equations. We give conditions for the synchronous collision of these solitons. When the solitons velo…
Uniformity of Strong Asymptotics in Angelesco Systems
Maxim L. Yattselev
Let and be two complex-valued Borel measures on the real line such that and ${\rm d}μ…