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Complex Roots of a Class of Random Algebraic Polynomials

✍ Scribed by K Farahmand; Jay M Jahangiri

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
135 KB
Volume
226
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

Complex Roots of a Random Algebraic Poly
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This paper, for any constant K, provides an exact formula for the average density of the distribution of the complex roots of equation q z q z 2 0 1 2 n y 1 Γ„ 4 ny1 Γ„ 4 ny1 qΠΈΠΈΠΈ q z s K where s a q ib and a and b are sequences of independent identically and normally distributed random variables and

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In this paper we present a new large class of polynomial maps F s X q H : A n n Ε½ . Βͺ A Definition 1.1 on every commutative ring A for which the Jacobian Conjecture is true. In particular H does not need to be homogeneous. We also Ε½ . show that for all H in this class satisfying H 0 s 0 the nth iter