22 citations · 25 across the 6 of their papers we have counts for
Showing 2006 · math.DSShow all
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math.DS2006★ 2 cited
On classification of resonance-free Anosov Z^k actions
Boris Kalinin, Victoria Sadovskaya
We consider actions of Z^k, k \ge 2, by Anosov diffeomorphisms which are uniformly quasiconformal on each coarse Lyapunov distribution. These actions generalize Cartan actions for…
math.DS2006
Measure rigidity beyond uniform hyperbolicity: Invariant Measures for Cartan actions on Tori
Boris Kalinin, Anatole Katok
We prove that every smooth action of Z^k, k>1, on the (k+1)-dimensional torus homotopic to an action by hyperbolic linear maps preserves an absolutely continuous measure. This is a…
math.DS2006★ 22 cited
Global rigidity for totally nonsymplectic Anosov Z^k actions
Boris Kalinin, Victoria Sadovskaya
We consider a totally nonsymplectic Anosov action of Z^k which is either uniformly quasiconformal or pinched on each coarse Lyapunov distribution. We show that such an action on a…