DNA-seminarium: Estimating dynamically defined values (or the pleasure of computing lots of decimal places)"

  • Datum:
  • Plats: Ångströmlaboratoriet 64119
  • Föreläsare: Mark Pollicott, University of Warwick, England
  • Kontaktperson: Anders Öberg
  • Seminarium

Dynamiska system, talteori och analys

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)