The average number of maxima of a random algebraic curve-Reference-Cited by-同舟云学术

The average number of maxima of a random algebraic curve

Published:1969-05 Issue:3 Volume:65 Page:741-753
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Das Minaketan

Abstract

AbstractLet g0, gl, g2,…be a sequence of mutually independent, normally distributed random variables with mathematical expectation zero and variance unity. In this work, we obtain the average number of maxima (minima) of the random algebraic curves with the equations

This average is (½(3½ + 1)) log N + O((log N)⅔ (log log N)½), when N is large.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. On the average number of real roots of a random algebraic equation

2. The Number of Real Zeros of a Random Trigonometric Polynomial

3. On the Number of Real Roots of a Random Algebraic Equation

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