Zobrazeno 1 - 10
of 22
pro vyhledávání: '"C. R. E. Raja"'
Autor:
Manoj Choudhuri, C. R. E. Raja
Publikováno v:
Archiv der Mathematik. 115:247-255
A connected Lie group admitting an expansive automorphism is known to be nilpotent, but all nilpotent Lie groups do not admit expansive automorphism. In this article, we find sufficient conditions for a class of nilpotent Lie groups to admit expansiv
Autor:
Anima Nagar, C. R. E. Raja
Publikováno v:
Texts and Readings in Mathematics ISBN: 9789811679629
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ceb9b4ae273adeb70dc1b0424f6e5a0c
https://doi.org/10.1007/978-981-16-7962-9_2
https://doi.org/10.1007/978-981-16-7962-9_2
Autor:
C. R. E. Raja, Helge Glöckner
Publikováno v:
Journal of Group Theory. 20:589-619
We study automorphisms $\alpha$ of a totally disconnected, locally compact group $G$ which are expansive in the sense that, for some identity neighbourhood $U$, the sets $\alpha^n(U)$ (for integers $n$) intersect in the trivial group. Notably, we pro
Autor:
C. R. E. Raja
Publikováno v:
Journal of Theoretical Probability. 28:785-803
We consider the following convolution equation (or equivalently stochastic difference equation) 1 $$\begin{aligned} \lambda _k = \mu _k*\phi (\lambda _{k-1}),\quad k \in {\mathbb Z}\end{aligned}$$ for a given bi-sequence $$(\mu _k)$$ of probability m
Autor:
C. R. E. Raja
Publikováno v:
Canadian Journal of Mathematics. 64:1075-1089
We consider the stochastic difference equation on a locally compact group G, where is an automorphism of G, ξk are given G-valued random variables and ηk are unknown G-valued random variables. This equation was considered by Tsirelson and Yor on a
Autor:
C. R. E. Raja
Publikováno v:
Geometriae Dedicata. 164:9-25
We consider strong relative property $(T)$ for pairs $(\Ga, G)$ where $\Ga$ acts on $G$. If $N$ is a connected Lie group and $\Ga$ is a group of automorphisms of $N$, we choose a finite index subgroup $\Ga ^0$ of $\Ga$ and obtain that $(\Ga, [\Ga ^0,
Autor:
C. R. E. Raja
Publikováno v:
Ergodic Theory and Dynamical Systems. 30:1803-1816
Let K be a compact metrizable group and Γ be a finitely generated group of commuting automorphisms of K. We show that ergodicity of Γ implies Γ contains ergodic automorphisms if center of the action, Z(Γ)={α∈Aut(K)∣α commutes with elements
Autor:
C. R. E. Raja
Publikováno v:
Mathematische Zeitschrift. 251:827-847
We first study the growth properties of p-adic Lie groups and its connection with p-adic Lie groups of type R and prove that a non-type Rp-adic Lie group has compact neighbourhoods of identity having exponential growth. This is applied to prove the g
Autor:
C. R. E. Raja
Publikováno v:
Mathematische Nachrichten. :198-203
We consider a class of measures called autophage which was introduced and studied by Szekely for measures on the real line. We show that the autophage measures on finite-dimensional vector spaces over real or p-adic field are infinitely divisible wit
Autor:
P. Graczyk, C. R. E. Raja
Publikováno v:
Israel Journal of Mathematics. 132:61-107
We prove Khinchin’s Theorems for Gelfand pairs (G, K) satisfying a condition (*): (a)G is connected; (b)G is almost connected and Ad (G/M) is almost algebraic for some compact normal subgroupM; (c)G admits a compact open normal subgroup; (d) (G,K)