Exponential rate of L_p-convergence of intrinsic martingales in supercritical branching random walks

Author name not available (Why is that?)

Publication date: 22 February 2011

Abstract: Let

W_{n}, n i n m n_{0}

be an intrinsic martingale with almost sure limit

W

in a supercritical branching random walk. We provide criteria for the

L_{p}

-convergence of the series

s u m_{n g e 0} e^{a n} (W - W_{n})

for

p > 1

and

a > 0

. The result may be viewed as a statement about the exponential rate of convergence of

m e | W - W_{n} |^{p}

to zero.

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