Displaying similar documents to “The expected number of zeros of a random system of p -adic polynomials.”

Random polynomials and (pluri)potential theory

Thomas Bloom (2007)

Annales Polonici Mathematici

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For certain ensembles of random polynomials we give the expected value of the zero distribution (in one variable) and the expected value of the distribution of common zeros of m polynomials (in m variables).

Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables

Hiroyuki Okazaki, Yasunari Shidama (2010)

Formalized Mathematics

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In this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.