Xiaoju Xie

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Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The average number of real zeros of a random polynomial 1969 D. C. Stevens
5
+ LEVEL CROSSINGS OF A RANDOM ORTHOGONAL POLYNOMIAL 1996 K. Farahmand
5
+ PDF Chat On the average number of real roots of a random algebraic equation 1943 Mark Kac
5
+ PDF Chat On random orthogonal polynomials 2000 K. Farahmand
5
+ PDF Chat An asymptotic expansion for the expected number of real zeros of a random polynomial 1988 J. Ernest Wilkins
5
+ The average number of real zeros of a random trigonometric polynomial 1968 Minaketan Das
5
+ PDF Chat The expected value of the number of real zeros of a random sum of Legendre polynomials 1997 J. Ernest Wilkins
5
+ PDF Chat How many zeros of a random polynomial are real? 1995 Alan Edelman
Eric Kostlan
5
+ On the Roots of Certain Algebraic Equations 1932 A. Bloćh
Georg Pólya
5
+ PDF Chat Real zeros of a random sum of orthogonal polynomials 1971 Minaketan Das
5
+ Convergence of Probability Measures 1970 James L. Snell
4
+ On the Number of Real Roots of a Random Algebraic Equation 1938 J. E. Littlewood
A. C. Offord
4
+ PDF Chat Extremal problems for polynomials with exponential weights 1984 H. N. Mhaskar
E. B. Saff
3
+ On the Average Number of Real Roots of a Random Algebraic Equation (II) 1948 Mark Kac
3
+ PDF Chat Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials 2007 Eli Levin
D. S. Lubinsky
3
+ Probability: A Graduate Course 2005 Allan Gut
3
+ Orthogonal Polynomials for Exponential Weights 2001 Eli Levin
D. S. Lubinsky
3
+ PDF Chat Universality Limits for Exponential Weights 2008 Eli Levin
D. S. Lubinsky
3
+ PDF Chat Random polynomials and (pluri)potential theory 2007 Thomas Bloom
3
+ Topics in Random Polynomials 1998 K. Farahmand
3
+ PDF Chat Expected number of real zeros for random linear combinations of orthogonal polynomials 2015 D. S. Lubinsky
Igor E. Pritsker
Xiaoju Xie
3
+ On the Number of Real Roots of a Random Algebraic Equation 1956 Paul Erdős
A. C. Offord
3
+ PDF Chat Zero distribution of random polynomials 2018 Igor E. Pritsker
3
+ Expected number of real zeros for random Freud orthogonal polynomials 2015 Igor E. Pritsker
Xiaoju Xie
2
+ Potential Theory in the Complex Plane 1995 Thomas Ransford
2
+ Introduction to the Theory of Weighted Polynomial Approximation 1997 H. N. Mhaskar
2
+ PDF Chat Random Polynomials and Pluripotential-Theoretic Extremal Functions 2014 Thomas Bloom
N. Levenberg
2
+ Asymptotics of Christoffel functions on arcs and curves 2013 Вилмос Тотик
2
+ Logarithmic Potentials with External Fields 1997 Edward B. Saff
Вилмос Тотик
2
+ Bulk universality holds in measure for compactly supported measures 2012 D. S. Lubinsky
2
+ A new approach to universality limits involving orthogonal polynomials 2009 D. S. Lubinsky
2
+ On the number of real roots of a random algebraic equation. II 1939 J. E. Littlewood
A. C. Offord
2
+ Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants 1988 H.‐P. Blatt
E. B. Saff
Mehrdad Simkani
2
+ On the Expected Number of Real Zeros of Random Polynomials I. Coefficients with Zero Means 1971 И. А. Ибрагимов
N. B. Maslova
2
+ PDF Chat Convergence of Probability Measures 1999 Patrick Billingsley
2
+ Orthogonal polynomials 2022 T. W. Körner
Terence Tao
2
+ Zero Distribution of Random Polynomials 2014 Igor E. Pritsker
1
+ General Orthogonal Polynomials 1992 Herbert Stahl
Вилмос Тотик
1
+ Asymptotics for Christoffel functions for general measures on the real line 2000 Вилмос Тотик
1
+ Orthogonal Polynomials 1972 Albert L. Rabenstein
1
+ Probability: A Graduate Course 2006 Damir Filipović
1
+ Zero Distribution of Random Polynomials 2014 Igor E. Pritsker
1
+ Real Zeros of Random Polynomials 1968 B. F. Logan
L. A. Shepp
1