Search

Talk

Shadowing property. Probabilistic aspects.

  • Sergey Tikhomirov (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

Shadowing theory study properties of approximate trajectories: sequences of points, where next one is close to image of the previous one. Such sequnces naturally appears, for example, in the presence of noise or as a result of numerical simulation.

We introduce notions of shadowing, hyperbolicity and structural stablity and briefly discuss relation between them.

In the talk we concentrate on random finite length pseudotrajectories (and trajectories) where main questions will have probabilistic nature. We formulate several questions and conjectires. We consider model "skew-product" example which can be reduced to a 1-dimensional random walk. This simple example, however allows us to disprove one the long-posed conjecture.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • 30.04.2024 tba with Christian Wagner
  • 30.04.2024 tba with Annika Burmester
  • 21.05.2024 tba with Immanuel Zachhuber
  • 31.05.2024 tba with Olga Shishkina