179,797 research outputs found
Symbolic Dynamics of Magnetic Bumps
For n convex magnetic bumps in the plane, whose boundary has a curvature
somewhat smaller than the absolute value of the constant magnetic field inside
the bump, we construct a complete symbolic dynamics of a classical particle
moving with speed one.Comment: 11 pages, 4 figure
Symbolic dynamics and relatively hyperbolic groups
We study the action of a relatively hyperbolic group on its boundary, by
methods of symbolic dynamics. Under a condition on the parabolic subgroups, we
show that this dynamical system is finitely presented. We give examples where
this condition is satisfied, including geometrically finite kleinian groups.Comment: Revision, 16 pages, 1 figur
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