A FIXED POINT PROOF OF LOCAL CENTRAL LIMIT THEOREMS

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Oct 8, 2013 (4 years and 1 month ago)

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A FIXED POINT PROOF OF LOCAL CENTRAL LIMIT
THEOREMS
ERWIN BOLTHAUSEN
Abstract.We report on an improved version of a simple xed point argument
for central limit theorems for solutions of convolution equations which appear in
connection with lace expansions,for instance for self-avoiding walks.The original
version of this proof still used somewhat cumbersome estimates.By a slightly
modication of the operator whose xed point is the desired limit distribution,the
technical diculties are now much reduced.(Joint work with Christine Ritzmann)
University of Z

urich
Date:January 2,2008.
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