Seminari di Sistemi Dinamici Olomorfi 2017-2018

seminar: On rank and isomorphism of von Neumann special flows

speaker: Anton SOLOMKO (NAS Ukraine)

abstract: A von Neumann flow is a special flow over an irrational rotation of the circle and under a piecewise smooth roof function with a non-zero sum of jumps. Such flows appear naturally as special representations of Hamiltonian flows on the torus with critical points. We consider the class of von Neumann flows with one discontinuity. I will show that any such flow has infinite rank and that the absolute value of the jump of the roof function is a measure theoretic invariant. The main ingredient in the proofs is a Ranter type property of parabolic divergence of orbits of two nearby points in the flow direction.Joint work with Adam Kanigowski.

timetable:
Wed 11 Oct, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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