Displaying similar documents to “Herleitung der Doppelungleichung 3 + 10 71 < π < 3 + 1 7 aus der arcsin -Reihe”

Markoff-Ketten bei sich füllenden Löchern im Zustandsraum

Hermann Rost (1971)

Annales de l'institut Fourier

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Given a substochastic kernel P from a measurable space ( E , β ) into itself one considers for a pair ( μ , ν ) of finite measures on β the following sequences: μ 0 = ( μ - ν ) + , ν 0 = ( μ - ν ) - ; μ n + 1 = ( μ n p - ν n ) + , ν n + 1 = ( μ n p - ν n ) - , n = 0 , 1 , 2 , ... This paper deals with conditions for ↓ lim n ν n = 0 , or lim n ∥ μ n ∥ = 0 to hold. As an application a characterization of those measures ν is given which may occur in a P -Markov chain ( X n ) n ∈ N with state space E , having μ as its initial law, as distribution of X τ where τ is a suitable stopping time.

Eine Klasse nichtschlichter konformer Abbildungen mit einer schlichten quasikonformen Fortsetzung. II

Reiner Kuhnau (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We study a dual analogue of the class Σ ( κ ) of hydrodynamically normalized schlicht conformal mappings g ( z ) of the exterior of the unit circle with a 1 + κ 1 - κ -quasiconformal extension, namely now those (non-schlicht) mappings g ( z ) for which g ( z ) ¯ has such a quasiconformal extension.