✦ LIBER ✦

Nevanlinna Theory via Stochastic Calculus

✍ Scribed by A. Atsuji

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 991 KB
Volume: 132
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1112

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✦ Synopsis

We study Nevanlinna theory using stochastic calculus. We have a defect relation for holomorphic maps in equidimensional cases which includes Carlson and Griffiths' defect relation. The main probabilistic methods used here are some estimates on some increasing processes for Brownian motion and martingales on manifolds. The latter is obtained from Krylov's estimate on stochastic integrals for martingales. 1995 Academic Press, Inc.

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