15 citations · 52 across the 12 of their papers we have counts for
12 papers
Dynamics of Actions of Automorphisms of Discrete Groups on Sub and Applications to Lattices in Lie Groups
Rajdip Palit, Manoj B. Prajapati, Riddhi Shah
For a discrete group and the compact space Sub of (closed) subgroups of endowed with the Chabauty topology, we study the dynamics of actions of automorphisms of on…
The Structure of Cartan Subgroups in Lie Groups
Arunava Mandal, Riddhi Shah
We study properties and the structure of Cartan subgroups in a connected Lie group. We obtain a characterisation of Cartan subgroups which generalises Wüstner's structure theorem f…
Distal Actions of Automorphisms of Nilpotent Groups on Sub_ and Applications to Lattices in Lie Groups
Rajdip Palit, Riddhi Shah
For a locally compact group , we study the distality of the action of automorphisms of on , the compact space of closed subgroups of endowed with the Ch…
Expansive Actions of Automorphisms of Locally Compact Groups on
Manoj B. Prajapati, Riddhi Shah
For a locally compact metrizable group , we consider the action of on , the space of all closed subgroups of endowed with the Chabauty topology.…
Distal Actions of Automorphisms of Lie Groups on
Riddhi Shah, Alok Kumar Yadav
For a locally compact metrizable group , we study the action of on , the set of closed subgroups of endowed with the Chabauty topology. Given an auto…
Expansive Automorphisms on Locally Compact Groups
Riddh Shah
We show that any connected locally compact group which admits an expansive automorphism is nilpotent. We also show that for any locally compact group , is ex…
Relative Property (T) for Nilpotent Subgroups
Indira Chatterji, Dave Witte Morris, Riddhi Shah
We show that relative Property (T) for the abelianization of a nilpotent normal subgroup implies relative Property (T) for the subgroup itself. This and other results are a consequ…
Affine Almost Automorphic Actions on Compact Nilmanifolds
S. G. Dani, Riddhi Shah, Puneet Sharma
We discuss conditions under which an affine automorphism of a compact nilmanifold is almost automorphic, and the structure of such automorphisms from a dynamical point of view.
Some Properties of Distal Actions on Locally Compact Groups
C. R. E. Raja, Riddhi Shah
We consider the actions of (semi)groups on a locally compact group by automorphisms. We show the equivalence of distality and pointwise distality for the actions of a certain class…
On the embeddability of certain infinitely divisible probability measures on Lie groups
S. G. Dani, Yves Guivarc'h, Riddhi Shah
We describe certain sufficient conditions for an infinitely divisible probability measure on a class of connected Lie groups to be embeddable in a continuous one-parameter convolut…
Orbits of Distal Actions on Locally Compact Groups
Riddhi Shah
We discuss properties of orbits of (semi)group actions on locally compact groups G. In particular, we show that if a compactly generated locally compact abelian group acts distally…
Distal actions and shifted convolution property
C. R. E. Raja, R. Shah
A locally compact group is said to have shifted convolution property (abbr. as SCP) if for every regular Borel probability measure on , either $\sup_{x\in G} μ^n (Cx) \r…