Probabilities on Groups: Submonogeneous Embedding and Semi-Stability

Hazod, Wilfried

doi:10.1007/978-3-642-46893-3_16

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“…I came to know from W. HAZOD that he had verified that HOFMANN'S proof for shift embeddability for the rational semigroup Q* also goes through for any dense submonogeneous subsemigroup of Q* and that he has used the general version in [9] and [10]. Proof.…”

Section: (M)mentioning

confidence: 96%

Semistable measures and limit theorems on real andp-adic groups

Shah

1993

Monatshefte f�r Mathematik

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Abstract. For any locally compact group G, we show that any locally tight homomorphism from a real directed semigroup into MI(G) (semigroup of probability measures on G) has a 'shift' which extends to a continuous one-parameter semigroup. If G is a p-adic algebraic group then the above holds even iff is not locally tight. These results are applied to give sufficient conditions for embeddability of some translate of limits of sequences of the form {v kn} and # E M 1 (G) such that z(#) = #k, for some k > 1 and zeAut G (cf. Theorems 2.1, 2.4, 3.7).

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Section: (M)mentioning

confidence: 96%