Asymptotics of the variance of the number of real roots of random trigonometric polynomials

2012 ◽  
Vol 55 (11) ◽  
pp. 2347-2366 ◽  
Author(s):  
ZhongGen Su ◽  
QiMan Shao
Keyword(s):  
Trigonometric Polynomials ◽  
Real Roots ◽  
Number Of Real Roots

scholarly journals On the Lower Bound for the Number of Real Roots of a Random Algebraic Equation

2007 ◽  
Vol 2007 ◽  
pp. 1-8
Author(s):  
Takashi Uno
Keyword(s):  
Lower Bound ◽  
Algebraic Equation ◽  
Random Variables ◽  
Real Roots ◽  
Number Of Real Roots

We estimate a lower bound for the number of real roots of a random alegebraic equation whose random coeffcients are dependent normal random variables.

scholarly journals Asymptotic variance of the number of real roots of random polynomial systems

2018 ◽  
Vol 146 (12) ◽  
pp. 5437-5449 ◽  
Author(s):  
D. Armentano ◽  
J-M. Azaïs ◽  
F. Dalmao ◽  
J. R. León
Keyword(s):  
Asymptotic Variance ◽  
Polynomial Systems ◽  
Random Polynomial ◽  
Real Roots ◽  
Number Of Real Roots

scholarly journals Local universality for real roots of random trigonometric polynomials

2016 ◽  
Vol 21 (0) ◽  
Author(s):  
Alexander Iksanov ◽  
Zakhar Kabluchko ◽  
Alexander Marynych
Keyword(s):  
Trigonometric Polynomials ◽  
Real Roots
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