Expected number of real zeros of a random polynomial with independent identically distributed symmetric long-tailed coefficients
نویسندگان
چکیده
منابع مشابه
The Real Zeros of a Random Polynomial with Dependent Coefficients
Abstract. Mark Kac gave one of the first results analyzing random polynomial zeros. He considered the case of independent standard normal coefficients and was able to show that the expected number of real zeros for a degree n polynomial is on the order of 2 π logn, as n → ∞. Several years later, Sambandham considered two cases with some dependence assumed among the coefficients. The first case ...
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ژورنال
عنوان ژورنال: Теория вероятностей и ее применения
سال: 2010
ISSN: 0040-361X
DOI: 10.4213/tvp4186