arXiv subjects

Vyacheslav Kulagin

Publications and source records attributed to Vyacheslav Kulagin.

2 recordsLinked to original sources

arXiv2008

On the topological essential range and regularity of cocycles over compact and generic systems

We consider the notions of topological essential range and regularity for continuous cocycles over minimal $\Z$-systems introduced in \cite{GH} and discuss relations with their generic counterparts. The alternative generic definitions can be given by using the notion of generic Mackey action associated with a cocycle. We further present a description of recurrent cocycles over minimal rotations with values in discrete groups and derive several consequences.

math.DS↗

arXiv2008

Non-abelian extensions of minimal rotations

We consider continuous extensions of minimal rotations on a locally connected compact group X by arbitrary locally compact Lie groups and prove regularity (i.e. the existence of orbit closures which project onto the whole basis X) in certain special situations beyond the already known nilpotent case. We further discuss an open question on cocycles acting on homogeneous spaces which seems to be the missing key for a general regularity theorem.

math.DS↗