2 citations · 11 across the 27 of their papers we have counts for
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Energy integrals and small points for the Arakelov height
Paul Fili, Clayton Petsche, Igor Pritsker
We study small points for the Arakelov height on the projective line. First, we identify the smallest positive value taken by the Arakelov height, and we characterize all cases of…
Height bounds for algebraic numbers satisfying splitting conditions
Paul Fili, Igor Pritsker
In an earlier work, the first author and Petsche solved an energy minimization problem for local fields and used the result to obtain lower bounds on the height of algebraic number…
Expected number of real zeros for random orthogonal polynomials
Doron S. Lubinsky, Igor E. Pritsker, Xiaoju Xie
We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d. Gaussia…
Expected number of real zeros for random Freud orthogonal polynomials
Igor E. Pritsker, Xiaoju Xie
We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d. Gaussia…
Expected number of real zeros for random linear combinations of orthogonal polynomials
D. S. Lubinsky, I. E. Pritsker, X. Xie
We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d. Gaussia…