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SUMMARY:Rhiannon Dougall
DTSTART:20210517T133000Z
DTEND:20210517T144500Z
DTSTAMP:20260423T053045Z
UID:BODS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/15/">Co
 mparison of entropy for infinite covering manifolds\, and group extensions
  of subshifts of finite type</a>\nby Rhiannon Dougall as part of Bremen On
 line Dynamics Seminar\n\n\nAbstract\nA classical example of an Anosov flow
  is the geodesic flow associated to\na compact hyperbolic manifold M\, for
  which the periodic orbits of the\nflow correspond to closed geodesics in 
 M. In general\, Anosov flows are\nnot so well behaved: there may be infini
 tely many periodic orbits in a\nfree homotopy class\, in contract to geode
 sic flows. In this talk we\ndiscuss the problem of counting periodic orbit
 s in infinite covering\nmanifolds\, where we relate the exponential growth
  rate of periodic\norbits in the cover to properties of the covering group
 . One of the\ntools is a new result for non-symmetric group extensions of 
 subshifts of\nfinite type which includes a result on non-symmetric random 
 walks. I\nwill spend some time motivating the problems and give the perspe
 ctive of\nthe thermodynamical formalism.\n(Featuring joint work with Richa
 rd Sharp.)\n
LOCATION:https://researchseminars.org/talk/BODS/15/
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