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The distribution of the values of an entire function whose coefficients are independent random variables (II)

Published online by Cambridge University Press:  24 October 2008

A. C. Offord
A. C. Offord
Affiliation:
London School of Economics, London WC2A
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Summary

This is a study of entire functions whose coefficients are independent random variables. When the space of such functions is symmetric it is shown that independence of the coefficients alone is sufficient to ensure that almost all such functions will, for large z, be large except in certain small neighbourhoods of the zeros called pits. In each pit the function takes every not too large value and these pits have a certain uniform distribution.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 3 , November 1995 , pp. 527 - 542
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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