Biharmonic functions on groups and limit theorems for quasimorphisms along random walks
- Working Paper
We show for very general classes of measures on locally compact second countable groups that every Borel measurable quasimorphism is at bounded distance from a quasi-biharmonic one. This allows us to deduce non-degenerate central limit theorems and laws of the iterated logarithm for such quasimorphisms along regular random walks on topological groups using classical martingale limit theorems of Billingsley and Stout. For quasi-biharmonic quasimorphism on countable groups we also obtain integral representations using martingale convergence. Show more
Pages / Article No.
Organisational unit02000 - Dep. Mathematik / Dep. of Mathematics
08802 - Iozzi, Alessandra (Tit.-Prof.)
NotesSubmitted on 1 May 2010, Last revised 10 October 2010. See also http://e-citations.ethbib.ethz.ch/view/pub:53235.
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