2 papers
math.DS2000
Rigidity of measurable structure for Z^d-actions by automorphisms of a torus
Anatole Katok, Svetlana Katok, Klaus Schmidt
We show that for certain classes of actions of Z^d, d >= 2, by automorphisms of the torus any measurable conjugacy has to be affine, hence measurable conjugacy implies algebraic co…
math.CV1999
Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces
Tatyana Foth, Svetlana Katok
Let G be a semisimple Lie group with no compact factors, K a maximal compact subgroup of G, and a lattice in G. We study automorphic forms for if G is of real rank one with…