Search

We develop a continuous version of Kasteleyn theory to show that partition functions for bead configurations on T_n may be expressed in terms of Fredholm determinants of certain operators on

Then, by the Fredholm alternative, the homogeneousequation with η = 0 has only the trivial solution. ... DESARGUES MAPS AND THE HIROTA–MIWA EQUATION 11. Lemma 4.1. The evolution (4.9) of the kernel of the Fredholm equation implies the following

26 Mar 2011: However, in the case at hand wecan say more. There are explicit formulae for the Fredholm determinants ofWiener–Hopf operators with rational symbols. ... Iserles, and S. P. Nørsett, The spectral problem for a class ofhighly oscillatory Fredholm

D. T.-R. McLaughlin, and A. Minakov. Soliton v.the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kineticequation arXiv:2205.02601, 2022.

17 Mar 2010: of these determinants has evolvedinto results of remarkable depth; see, for example, [14], [15], [20]. ... Amer. Math. soc. 130 (2001), 1755–1764. [14] F. J. Dyson, Fredholm determinants and inverse scattering problems.

regular singularities by using their Fredholm determinant representation [8], and show that they. ... Gavrylenko, Isomonodromic tau functions on a torus as. fredholm determinants, and charged partitions, arXiv preprint arXiv:2011.06292 (2020).

12 Nov 2010: Spectral theory of large Wiener–Hopf operators with. complex-symmetric kernels and rational symbols. Albrecht Böttcher Sergei Grudsky Arieh Iserles. November 12, 2010. AbstractThis paper is devoted to the asymptotic behaviour of individual

Dispersive hydrodynamics of soliton condensates forthe Korteweg-de Vries equation. T. Congy, G.A. El, G. Roberti, and A. Tovbis. Abstract. We consider large-scale dynamics of non-equilibrium dense soliton gas for theKorteweg-de Vries (KdV) equation

Soliton-mean field interaction in Korteweg-de Vriesdispersive hydrodynamics. Mark J. Ablowitz1, Justin T. Cole2, Gennady A. El3, Mark A. Hoefer1, andXu-dan Luo4. 1Department of Applied Mathematics, University of Colorado, Boulder2Department of

Soliton Gas: Theory, Numerics and Experiments. Pierre Suret,1, Stephane Randoux,1 Andrey Gelash,2 Dmitry Agafontsev,3, 4 Benjamin Doyon,5 and Gennady El4. 1Univ. Lille, CNRS, UMR 8523 - PhLAM - Physique des Lasers Atomes et Molécules, F-59000 Lille