Rigidity of measurable structure for Z d -actions by automorphisms of a torus (2009)
Anatole Katok, Svetlana Katok, Klaus Schmidt, Dedicated Olga, Taussky Todd
Abstract. 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 conjugacy;...
MASS Selecta : Teaching and Learning Advanced Undergraduate Mathematics (2003)
Katok, Svetlana (ed.), Sossinsky, Alexei B. (ed.), Tabachnikov, Serge (ed.)
MASS Selecta : Teaching and Learning Advanced Undergraduate Mathematics (2003)
Katok, Svetlana (ed.), Sossinsky, Alexei B. (ed.), Tabachnikov, Serge (ed.)
0-8218-3363-4
Rigidity of measurable structure for Z^d-actions by automorphisms of a torus (2000)
Katok, Anatole, Katok, Svetlana, Schmidt, Klaus
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 conjugacy; similarly...
Rigidity of Measurable Structure for Z^d-Actions By Automorphisms of a Torus (2000)
The Erwin, Schrodinger International Boltzmanngasse, For Z, Anatole Katok, Anatole Katok, Svetlana Katok, ...
. 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 conjugacy; similarly...
RIGIDITY OF MEASURABLE STRUCTURE FOR Z d –ACTIONS BY AUTOMORPHISMS OF A TORUS (2000)
The Erwin, Schrödinger International Boltzmanngasse, Anatole Katok, Svetlana Katok, Klaus Schmidt, Anatole Katok, ...
Abstract. 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 conjugacy;...
Foth, Tatyana, Katok, Svetlana
Let G be a semisimple Lie group with no compact factors, K a maximal compact subgroup of G, and $\Gamma$ a lattice in G. We study automorphic forms for $\Gamma$ if G is of real rank one with some...
Higher cohomology for abelian groups of toral automorphisms (1995)
Abstract. In this note we extend the results of [3] which deal with description of smooth untwisted cohomology for Z k-actions by hyperbolic automorphisms of a torus, to the partially hyperbolic...
Modular forms associated to closed geodesics and arithmetic applications / (1983)
Thesis (Ph. D.)--University of Maryland, 1983.