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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.
3
votes
2
answers
206
views
Piecewise expanding map
I think that piecewise expanding maps on the unit interval have been studied. Is there something analogous in dimension 2 with the same good properties? In other words, maybe I want some good results …
2
votes
1
answer
114
views
is the Lyapunov exponent a continuous function of the invariant measure w.r.t weak-* topology?
I hope for some relerant results for the following question:
Is the lyapunov exponent continuous with respect to the measure?
Assume $M$ is a manifold, $f$ is a diffeomorphism on $M$, $m$ is an invari …