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SUMMARY:Schrödinger operators with potentials generated by hyperbolic tra
 nsformations
DTSTART:20210430T161500
DTSTAMP:20260506T205815Z
UID:0e98438fc901cf769e98a8fd9bf118e99b32fce5a4fd05a9ae0c31d1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. David Damanik\, Rice University\nPlease pay attention th
 at it will unusually be held at 16:15 \n\nAbstract:\nWe discuss discrete 
 one-dimensional Schrödinger operators whose potentials are generated by s
 ampling along the orbits of a general hyperbolic transformation and presen
 t results showing that the Lyapunov exponent is positive away from a small
  exceptional set of energies for suitable choices of the ergodic measure a
 nd the sampling function. These results apply in particular to Schrödinge
 r operators defined over expanding maps on the unit circle\, hyperbolic au
 tomorphisms of a finite-dimensional torus\, and Markov chains. (Joint work
  with Artur Avila and Zhenghe Zhang)
LOCATION:https://epfl.zoom.us/j/69807884357?pwd=N2FjOFVsdnViUXlEU0s1RnVmd2
 RnUT09
STATUS:CONFIRMED
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