 Home
 Search Results
 Page 1 of 1
Search for: All records

Total Resources2
 Resource Type

00020
 Availability

20
 Author / Contributor
 Filter by Author / Creator


Lubinsky, Doron (1)

Lubinsky, Doron S. (1)

Pritsker, Igor (1)

Pritsker, Igor E. (1)

Xie, Xiaoyou (1)

#Tyler Phillips, Kenneth E. (0)

#Willis, Ciara (0)

& AbreuRamos, E. D. (0)

& Abramson, C. I. (0)

& AbreuRamos, E. D. (0)

& Adams, S.G. (0)

& Ahmed, K. (0)

& Ahmed, Khadija. (0)

& Aina, D.K. Jr. (0)

& AkcilOkan, O. (0)

& Akuom, D. (0)

& Aleven, V. (0)

& AndrewsLarson, C. (0)

& Archibald, J. (0)

& Arnett, N. (0)

 Filter by Editor


& Spizer, S. M. (0)

& . Spizer, S. (0)

& Ahn, J. (0)

& Bateiha, S. (0)

& Bosch, N. (0)

& Brennan K. (0)

& Brennan, K. (0)

& Chen, B. (0)

& Chen, Bodong (0)

& Drown, S. (0)

& Ferretti, F. (0)

& Higgins, A. (0)

& J. Peters (0)

& Kali, Y. (0)

& RuizArias, P.M. (0)

& S. Spitzer (0)

& Sahin. I. (0)

& Spitzer, S. (0)

& Spitzer, S.M. (0)

(submitted  in Review for IEEE ICASSP2024) (0)


Have feedback or suggestions for a way to improve these results?
!
Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to nonfederal websites. Their policies may differ from this site.

Lubinsky, Doron ; Pritsker, Igor ; Xie, Xiaoyou ( , Mathematical proceedings of the Cambridge Philosophical Society)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. Gaussian coefficients, have only $(2/\pi + o(1))\log{n}$ expected real zeros in terms of the degree $n$. If the basis is given by the orthonormal polynomials associated with a compactly supported Borel measure on the real line, or associated with a Freud weight, then random linear combinations have $n/\sqrt{3} + o(n)$ expected real zeros. We prove that the same asymptotic relation holds for all random orthogonal polynomials on the real line associated with a large class of weights, and give local results on the expected number of real zeros. We also show that the counting measures of properly scaled zeros of these random polynomials converge weakly to either the Ullman distribution or the arcsine distribution.more » « less