DNA Seminar: Estimating Dynamically Defined Values (or the Pleasure of Computing Lots of Decimal Places)

  • Date:
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Mark Pollicott, University of Warwick, England
  • Contact person: Anders Öberg
  • Seminarium

Dynamical systems, number theory and analysis

Abstract: There are many interesting values which can be reinterpreted dynamically. For example: (i) The dimension of the cantor set of real numbers whose expansion contains only the digits 1 or 2; (ii) The dimension of the difference between the Markof and Lagrange spectra in number theory; (iii) The lowest eigenvalue of the Laplacian on an infinite area Riemann surface; etc. By using an approach based on determinants of the transfer operator one can get efficient and rigorous estimates on these values. (Joint work with Oliver Jenkinson)