[math-ias] Reminder: Non-equilibrium Dynamics and Random Matrices -- Thursday, September 26, West Building Lecture Hall

[Anthony V. Pulido]

Please follow the link or open the attachment to view a map of campus for
the location of the West Building Lecture Hall:

http://www.ias.edu/files/campusmap.pdf

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Thursday, September 26

Non-equilibrium Dynamics and Random Matrices
Topic:         Kinetic transport in quasicrystals
Speaker:     Jens Marklof, University of Bristol
Time/Room:     11:00am - 12:00pm/West Bldg. Lect. Hall
Abstract:    See below


Kinetic transport in quasicrystals
   Jens Marklof

Previous studies of kinetic transport in the Lorentz gas have been limited
to cases where the scatterers are distributed at random (e.g. at the points
of a spatial Poisson process) or at the vertices of a Euclidean lattice. In
this talk I will report on recent joint work with Andreas Strombergsson
(Uppsala) on quasicrystalline scatterer configurations, which are
non-periodic, yet strongly correlated. A famous example is the vertex set
of the Penrose tiling. Our main result proves the existence of a limit
distribution for the free path length, which answers a question of
Wennberg. The limit distribution is characterised by a certain random
variable on the space of higher dimensional lattices, and is distinctly
different from the exponential distribution observed in the random setting.
I will also discuss related results for other aperiodic scatterer
configurations, such as the union of pairwise incommensurate lattices. The
key ingredients in the proofs are equidistribution theorems on homogeneous
spaces, which follow from Ratner's measure classification theorem.
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