On hyperplanes and semispaces in max-min convex geometry (2009)
Nitica, Viorel, Sergeev, Sergei
The concept of separation by hyperplanes is fundamental for convex geometry and its tropical (max-plus) analogue. However, analogous separation results in max-min convex geometry are based on...
An interval version of separation by semispaces in max-min convexity (2009)
Nitica, Viorel, Sergeev, Sergei
We study separation of a closed box from a max-min convex set by max-min semispace. This can be regarded as an interval extension of known separation results. We give a constructive proof of the...
On the Cohomology of Anosov Actions (2008)
Viorel Nitica, Andrei Török, Andrei Trk
The goal of this survey is to present recent cohomological results in the theory of Anosov actions, as well as to show how they are related to other results in the eld. Due to constraints of space,...
Schrödinger Operators And Topological Pressure On Manifolds Of Negative Curvature (2007)
Viorel Nitica, Frederico Xavier
. The bilaplacians of the Busemann functions on the universal cover of a compact manifold M of negative curvature induce a function B (2) on the unit tangent bundle of M . It is conjectured that B...
Nonabelian Cohomology of Abelian Anosov Actions (2007)
Anatole Katok, Viorel Nitica, Andrei Török
.We develop a new technique for calculating the first cohomology of certain classes of actions of higher--rank abelian groups (Z k and R k , k 2) with values in a linear Lie group. In this paper we...
An Open Dense Set Of Stably Ergodic Diffeomorphisms In A Neighborhood Of A Non-Ergodic One (2007)
. As a special case of our results we prove the following. Let A 2 Diff r (M) be an Anosov diffeomorphism. Then there is a C r -neighborhood of A \Theta Id S 1 that contains an open dense set of...
Local Rigidity of Certain Partially Hyperbolic Actions of Product Type (2001)
. We prove certain rigidity properties of higher--rank abelian product actions of the type ff \Theta IdN : Z ! Diff(M \Theta N), where ff is (TNS) (i.e., is hyperbolic and has some special structure...
Transitivity Of Euclidean Extensions Of Anosov Diffeomorphisms (2001)
We consider the class of extensions of Anosov di#eomorphisms on infranilmanifolds, and find necessary and su#cient conditions for topological transitivity. In particular, if the fiber is R, the...
Non-abelian cohomology of abelian Anosov actions (2000)
Anatole Katok, Viorel Nitica, Andrei Török
We develop a new technique for calculating the first cohomology of certain classes of actions of higher-rank abelian groups (Z , k 2) with values in a linear Lie group. In this paper we consider the...
Regularity Of The Transfer Map For Cohomologous Cocycles (1998)
Viorel Nitica, Andrei Torok, Viorel Ni ¸tică, Andrei Török
In this paper we obtain results about the regularity of the transfer map between two cocycles over an Anosov system, with values in either a diffeomorphism or a Lie group. We also explain how certain...
Viorel Nitica, Andrei Török, X. Introduction, The Main Result
this paper we obtain regularity results for the Livsic cohomology equation for cocycles with values in dieomorphism and Lie groups
This paper emerges from an attempt to understand the dierentiable actions close to 0 . After Zimmer initiated the program to classify volume-preserving actions of higher rank lattices on compact...