Past Seminars- Dynamical Systems

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  • Victor Kleptsyn
    Tue Mar 13, 2018
    1:00 pm
    The study of the equation on the 2-torus given by   x’= sin x + a + b sin t has been motivated by its relation to the Josephson junction in physics, as well as by purely mathematical reasons. For any values of the parameters a and b, one can consider the time-2\pi (period) map from the x-circle to itself, and study...
  • Victor Kleptsyn
    Tue Mar 6, 2018
    1:00 pm
    The talk will be devoted to the study of finitely generated groups acting on the circle. We will start with joint results with A. Navas and B. Deroin: if such an action by analytic diffeomorphisms admits a Cantor minimal set, then this set is of Lebesgue measure zero, and if such an action by free group of analytic...
  • Anton Gorodetski
    Tue Nov 14, 2017
    1:00 pm
    We will discuss several open problems in dynamical systems (related to random dynamical systems with parameters, sums of Cantor sets, etc.) that can potentially turn into a research project suitable for graduate students. 
  • Daniel Sell
    Tue Nov 7, 2017
    1:00 pm
    Toeplitz sequences are constructed from periodic sequences with undetermined positions by successively filling these positions with the letters of other periodic sequences. In this talk, the class of so called simple Toeplitz sequences will be considered. We will describe combinatorial properties, such as the word complexity, of the subshifts that...
  • Isaac Goldbring
    Tue Oct 24, 2017
    1:00 pm
    A (countable discrete) group $\Gamma$ acting on a compact space $X$ is said to act \emph{amenably} if there is a continuous net $(\mu_n^x)$ of probability measures indexed by the points of $X$ that are almost invariant under the action of $\Gamma$. For example, $\Gamma$ is amenable if and only if it acts amenably on a one-point space. The...
  • May Mei
    Tue May 23, 2017
    1:00 pm
    In an award winning 2014 paper, Damanik, Fillman, and Gorodetski rigorously established a framework for investigating Schrodinger operators on the real line whose potentials are generated by ergodic subshifts. In the case of the Fibonacci subshift, they also described the asymptotic behavior in the large energy and small coupling settings when the...
  • Yuki Takahashi
    Tue May 2, 2017
    1:00 pm
    We discuss an inverse theorem on the structure of pairs of discrete probability measures which has small amount of growth under convolution, and apply this result to self-similar sets with overlaps to show that if the dimension is less than the generic bound, then there are superexponentially close cylinders at all small enough scales. The results...