Past Seminars- Dynamical Systems

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  • 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...
  • Yuki Takahashi
    Tue Apr 25, 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...
  • Victor Kleptsyn
    Tue Apr 11, 2017
    1:00 pm
    In the classical Polya’s urn process, there are balls of different colors in the urn, and one step of the process consists of taking out a random ball and it putting back together with one more ball of the same color. ("Ask a friend whether he’s using is A or B, and buy the same".) It also can be modified by saying that the...