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Hierarchical Behavior of Solutions to the Maryland Equation in the Semiclassical Approximation.

  • Speaker:Prof. Alexander Fedotov, Department of Mathematics and Mathematical Physics of the Physics Faculty of Saint Petersburg State University.
  • TIME:周四20:00-21:00,2020-12-17
  • LOCATION:online

Beijing-Saint Petersburg Mathematics Colloquium (online)

Abstract 

We describe a multiscale selfsimilar struture of solutions to one of the most popular models of the almost periodic operator theory, the difference Schroedinger equation with a potential of the form  a ctg(b n+c), where  a, b and c are constants, and n is an integer variable. The talk is based on a joint work with F.Klopp.
Research interests: Asymptotic methods of mathematical physics (quasi-classical, short-wave and adiabatic asymptotics); Spectral theory of ergodic Schr\»odinger operators; Analytic theory of difference equations on the complex plane.
 

Bio

Professor Fedotov was an invited speaker at several prestigious conferences including XII International Congress on mathematical Physics (Brisbane, Australy) and 20th European Math. Congress, Minisimposium “Almost periodic equations”(Amsterdam, Holland). He was invited to several famous universities and math centers in France, Germany, Sweden, Canada, Austria and other countries.

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