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- C. R. E. Raja
- 1999

We consider non-contracting p-adic Lie groups and we establish equivalence relations and connections among the following classes of p-adic Lie groups: (1) non-contracting; (2) type R; (3) distal and (4) Tortrat. We also deduce that non-contracting p-adic Lie groups are unimodular and IN p-adic Lie groups are non-contracting. In this note we prove p-adic… (More)

Glaucoma is among the most common causes of permanent blindness in human. Because the initial symptoms are not evident, mass screening would assist early diagnosis in the vast population. Such mass screening requires an automated diagnosis technique. Our proposed automation consists of pre-processing, optimal wavelet transformation, feature extraction, and… (More)

- C R E Raja
- 2007

We prove linear distal groups and groups whose compact subgroups are nite are Tortrat. Let G be a locally compact group and e denote the identity of G. Let P(G) be the space of all regular Borel probability measures on G, equipped with the weak* topology with respect to all bounded continuous functions on G. A locally compact group G is called distal if e… (More)

- C R E Raja, R Shah
- 2008

A locally compact group G is said to have shifted convolution property (abbr. as SCP) if for every regular Borel probability measure µ on G, either sup x∈G µ n (Cx) → 0 for all compact subsets C of G, or there exist x ∈ G and a compact subgroup K normalised by x such that µ n x −n → ω K , the Haar measure on K. We first consider distality of factor actions… (More)

- C. R. E. Raja
- 2002

We consider identity excluding groups. We first show that motion groups of totally disconnected nilpotent groups are identity excluding. We prove that certain class of p-adic algebraic groups which includes algebraic groups whose solvable radical is type R have identity excluding property. We also prove the convergence of averages of representations for… (More)

- Y Guivarc 'h, C R E Raja
- 2010

Let G be a locally compact group, E a homogeneous space of G. We discuss the relations between recurrence of a random walk on G or E, ergodicity of the corresponding transformations and polynomial growth of G or E. We consider the special case of linear groups over local fields.

- C. R. E. Raja
- 2009

On the existence of ergodic automorphisms in ergodic Z d-actions on compact groups Abstract 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 of Γ} has DCC. To… (More)

- P Graczyk, C R E Raja
- 2007

We prove the Khinchin's Theorems for following 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 subgroup M ; (c) G admits a compact open normal subgroup; (d) (G; K) is symmetric and G is 2-root compact; (e) G is a Zariski-connected p-adic algebraic group;… (More)

- C R E Raja
- 2007

We prove that action of a group T on compact metric space X by home-omorphisms is proximal if and only if T action on P(X) is strongly proximal and we obtain the same result for actions on exponential Lie groups by auto-morphisms. We also prove that for any 2 P(T), X is-proximal or X is mean proximal if and only if so is P(X). KEYWORDS Proximal and strongly… (More)

- C R E Raja
- 2007

We establish relations between various classes of p-adic groups. In this note we prove p-adic analogue of results in DR] and Ro]. Let G be a locally compact group and e denote the identity of G. Let P(G) be the space of all regular Borel probability measures on G, equipped with the weak* topology with respect to all bounded continuous functions on G. A… (More)