University of South Alabama

output

19982025

most citedSearches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma

635 citations

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7 papers · 1 filter

math.DS2009★ 10 cited

Totally non-symplectic Anosov actions on tori and nilmanifolds

David Fisher, Boris Kalinin, Ralf Spatzier

We show that sufficiently irreducible totally non-symplectic Anosov actions of higher rank abelian groups on tori and nilmanifolds are smoothly conjugate to affine actions.

math.DS2008★ 1 cited

Nonuniform measure rigidity

Boris Kalinin, Anatole Katok, Federico Rodriguez Hertz

We consider an ergodic invariant measure $μ$ for a smooth action of $Z^{k}$ , $k \geq 2$ , on a $(k + 1)$ -dimensional manifold or for a locally free smooth action of $R^{k}$ , $k \geq 2$ on a…

math.DS2007★ 1 cited

On Anosov diffeomorphisms with asymptotically conformal periodic data

Boris Kalinin, Victoria Sadovskaya

We consider transitive Anosov diffeomorphisms for which every periodic orbit has only one positive and one negative Lyapunov exponent. We establish various properties of such syste…

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…

math.DS2005

An invariant of finite group actions on shifts of finite type

Daniel S. Silver, Susan G. Williams

We describe a pair of invariants for actions of finite groups on shifts of finite type, the left-reduced and right-reduced shifts. The left-reduced shift was first constructed by U…

math.DS2004

Pitchfork Bifurcations of Invariant Manifolds

Jyoti Champanerkar, Denis Blackmore

A pitchfork bifurcation of an $(m - 1)$ -dimensional invariant submanifold of a dynamical system in $R^{m}$ is defined analogous to that in $R$ . Sufficient conditions…