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Category Archives: Potential theory
Zeros of random polynomials
Given a polynomial , where the coefficients are random, what can we say about the distribution of the roots (on )? Of course, it would depend on what “random” means. Here, “random” means that the sequence is an i.i.d. sequence … Continue reading
Posted in Algebra, Complex analysis, Potential theory, Probability
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Potential theory on finite sets
Motivation Consider the following Dirichlet problem on the unit square : on where is a given function on the boundary. To get an approximate solution, we may replace the unit square by a grid. Let be large and set . … Continue reading
Posted in Potential theory, Probability
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