435 citations
- Steklov Mathematical InstituteRU24 papers
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- Max Planck Institute for the Physics of Complex SystemsDE8 papers
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Showing 2009 · math-phShow all
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math-ph2009
Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae
P. G. Grinevich, K. V. Kaipa
In this paper, we introduce the so-called multiscale limit for spectral curves, associated with real finite-gap Sine-Gordon solutions. This technique allows to solve the old proble…
math-ph2009★ 17 cited
Determinantal Representation of the Time-Dependent Stationary Correlation Function for the Totally Asymmetric Simple Exclusion Model
Nikolay M. Bogoliubov
The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' () of the $SU_q(…