Marc Kesseböhmer
Large deviations asymptotics for large waiting times.
Mon, 11/02/2009 - 16:01 — SomNambulAuthors: Marc Kesseböhmer, Lidong Tang
Subjects: Probability
AbstractIn this paper we investigate the statistics of large waiting times (with
respect to the total waiting time) for Bernoulli processes. We determine the
corresponding rate functions explicitly and prove a large deviations
asymptotic. By this we have estabished a large deviation principle for which
the rate function is not the Legendre transform of some free energy function.A note on the algebraic growth rate of Poincar\'e series for Kleinian groups.
Fri, 10/30/2009 - 16:01 — SomNambulAuthors: Marc Kesseböhmer, Bernd O. Stratmann
Subjects: Group Theory
AbstractIn this note we employ infinite ergodic theory to derive estimates for the
algebraic growth rate of the Poincar\'e series for a Kleinian group at its
critical exponent of convergence.Wavelets for iterated function systems.
Tue, 10/06/2009 - 17:01 — SomNambulAuthors: Jana Bohnstengel, Marc Kesseböhmer
Subjects: Functional Analysis
AbstractWe construct a wavelet and a generalised Fourier basis with respect to some
fractal measures given by one-dimensional iterated function systems. In this
paper we will not assume that these systems are given by linear contractions
generalising in this way some previous work of Jorgensen and Dutkay to the
non-linear setting.
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