Members’ Colloquium

A deep result of Furstenberg from 1967 states that if Γ is a lattice in a semisimple Lie group G, then there exists a measure on Γ

with finite first moment such that the corresponding harmonic measure on the Furstenberg boundary of G

is absolutely...

Dynamical Asymmetry Is C1-Typical

Amie Wilkinson

I will discuss a result with Bonatti and Crovisier from 2009 showing that the C1 generic diffeomorphism f of a closed manifold has trivial centralizer; i.e. fg = gf implies that g is a power of f. I’ll discuss features of the C1 topology that enable...