PREPRINTS
(These are papers for which I have PDF files, in reverse
order. They are not necessarily the final form. As you know copyright restrictions
do not allow galleys or reprints to be placed on websites)
Paper 298. Estimates for Orthonormal Polynomials for Polynomially Weighted Measures (E. Levin, D. Lubinsky, submitted)
Paper 297. Random Muntz Polynomials (D. Lubinsky, I. Pritsker, submitted)
Paper 296. Variational Conditions on Extremal Orthonormal Polynomials for Restricted Measures, to appear in Applied and Numerical Harmonic Analysis volume dedicated to Ed Saff's 80th birthday.
Paper 295. More on Distribution of Eigenvalues of Smooth Toeplitz Matrices, to appear in Pure and Applied Functional Analysis.
Paper 294. Real Roots of Random Orthogonal Polynomials with Exponential Weights (Yen Do, D. Lubinsky, Hoi Nguyen, Oanh Nguyen, I. Pritsker)
Paper 293. A Survey of Erdos-Szekeres Products, to appear in Geometry and Nonconvex Approximation (Springer)
Paper 292. Bounds on Orthonormal Polynomials for Restricted Measures, to appear in Constructive Approximation.
Paper 291. The effect of two exterior masspoints on bounds for orthogonal polynomials, to appear in Mathematical Analysis, Optimization, (World Scientific)
Paper 290. On Local Limits for Orthogonal Polynomials (Eli Levin and D. Lubinsky), (in) Exploring Mathematical Analysis, Approximation Theory and Optimization, (eds. N. Dara, MT Rassias etal), Springer, 2024, pp. 171-198.
Paper 289.
Asymptotics of Orthogonal Polynomials and Separation of Their Zeros
(Eli Levin and D. Lubinsky), Journal of Approximation Theory, 281-282(2022), 105804.
Paper 288.
Variance of Real Zeros of Random Orthogonal Polynomials for Varying and
Exponential Weights (D. Lubinsky and I. Pritsker), Electronic Journal of Probability, 27(2020), art. no. 83, 1-27.
Paper 287.
On Average Growth of Erdos- Szekeres Polynomials (C. Billsborough, S.
Gold, E.Linder, D. Lubinsky, Jiahui Yu) , Acta Math. Hungarica, 106(2022), 179-204.
Paper 286.
Some Biorthogonal Polynomials arising in Numerical Analysis and
Approximation Theory (D. Lubinsky and A. Sidi), J. Comp. Appl. Math., 403(2022)113842.
Paper 285. On Zeros, Bounds, and Asymptotics for Orthogonal Polynomials on the Unit Circle, Math. Sbornik., 213(2022), 31-49.
Paper 284.
The Effect of Adding Endpoint Masspoints on Bounds for Orthogonal
Polynomials, Dolomites Research Notes on Approximation, 14(2021), 42-55.
Paper 282. Bounds
on Orthogonal Polynomials and Separation of Their Zeros (Eli Levin and
Doron Lubinsky), Journal of Spectral Theory, 12(2022), 497-513.
Paper 281. On Lower
Bounds for Erdos-Szekeres Polynomials (C. Billsborough, M. Freedman, S.
Hart, G. Kowalsky, D. Lubinsky, A. Pomeranz, A. Sammel), Proceedings of the Amer. Math. Soc. , 149(2021), 4233-4246.
Paper 280. Variance of Real Zeros of Random Orthogonal Polynomials (D. Lubinsky and I. Pritsker), Journal of Mathematical Analysis and Applications, 498(2021), 124954, 32 pages.
Paper 279. On Baker's Patchwork Conjecture for Diagonal Pade Approximants, Constructive Approximation, 53(2021), 545-567.
Paper
278.
On Eigenvalue Distribution of Varying Hankel and Toeplitz Matrices with
Entries of Power Growth or Decay (G. Kowalsky and D. Lubinsky), (in)
Approximation Theory XVI, eds G Fasshauer et al, Springer, Switzerland,
2021, pp. 153-170.
Paper 277. Local Limits for Orthogonal Polynomials for Varying Weights via Universality (Eli Levin and Doron Lubinsky), Journal of Approximation Theory, 254(2020), 105394.
Paper 276. Orthogonal Dirichlet Polynomials with Constant Weight, Applicable Analysis and Discrete Mathematics, 13(2019), 697-710.
Paper 275. A Note on Orthogonal Dirichlet Polynomials with Rational
Weights, Dolomites Research Notes on Approximation, 12(2019), 10-15.
Correction to Lemma 4.2(a) and 4.3(d) in paper 274, published in Journal d'Analyse Math, 144(2021), 397-400.
Paper 273.
On Marcinkiewicz-Zygmund Inequalities at Hermite Zeros and their Airy
Function Cousins, (in) Trigonometric Sums and Their Applications (eds.
A. Raigorodskii, M. Rassias), Springer, Zurich, pp. 119-146.
Paper 272. Local Asymptotics for Orthonormal Polynomials in the Interior of the Support via Universality, Proceedings of the Amer. Math. Soc., 147(2019), 3877-3886.
Paper 271. Pointwise Asymptotics for Orthonormal Polynomials at the Endpoints of the Interval via Universality, International Maths Research Notices, 2020(2020), 961-982, https://doi.org/10.1093/imrn/rny042
Paper 270. Distribution of
Eigenvalues of Toeplitz Matrices with Smooth Entries, Linear Algebra and its Applications, 633(2022), 332-365.
Paper 269. The Spurious Side of Diagonal Multipoint PadéApproximation, (in) Topics in Classical and Modern Analysis, in memory
of Y. Hu (eds. M. Abell et al), Birkhauser, Basel, 2019, pp. 241-259.
Paper 268. On Uniform Convergence of
Diagonal Multipoint Padé Approximants For Entire Functions, Constructive Approximation, 49(2019), 149-174.
Paper 267. Exact Interpolation, Spurious Poles, and Uniform Convergence of Multipoint Padé Approximants, Sbornik Mathematics (Russian), 209(2018), 150-167, https://doi.org/10.4213/sm8875 English version: 209(2018) 432-448.
Paper 266. Scaling Limits of Polynomials and Entire Functions of Exponential Type, (in) Approximation Theory XV (eds. G.E. Fasshauer, L.L. Schumaker), Springer, New York, 2017, pp. 219-238.
Paper 265. Mean Convergence of Interpolation at Zeros of Airy
Functions, (in) Contemporary Computational Mathematics - A Celebration
of the 80th Birthday of Ian Sloan, Vol. 2, (eds. J. Dick, F.Y. Kuo, H.
Wozniakowski), Springer International, Switzerland, 2018, pp. 889-909.
Paper
264. An Update on Local Universality Limits for Correlation Functions
Generated by Unitary Ensembles, SIGMA, 12(2016), 078, 36 pages.
http://www.emis.de/journals/SIGMA/2016/078/
Paper 263. Simultaneous Gaussian Quadrature for Angelesco Systems (Doron Lubinsky and Walter Van Assche), Jaen Journal on Approximation, 8(2016), 113-149.
Paper 262. On Marcinkiewicz-Zygmund Inequalities at Jacobi Zeros and Their Bessel Function Cousins, Contemporary Mathematics, 699(2017), 223-245.
Paper 261. Sobolev Orthogonal Polynomials on
the Unit Ball via Outward Normal Derivatives (A.M. Delgado, L.
Fernandez, D. Lubinsky, T. E. Perez, M. A. Pinar), Journal Math Analysis and Applns, 440(2016), 716-740.
Paper
260. On an asymptotic equality for reproducing kernels and sums of
squares of orthonormal polynomials (Aleks Ignjatovic, D. Lubinsky),
(in) Progress in Approximation Theory and Applicable Complex Analysis
(In Memory of QI Rahman), eds. N. Govil, R. Mohapatra, M. Qazi, G.
Schmeisser, Springer, Berlin, 2017, pp. 129-144.
Paper 259. Gaussian Fluctuations of Eigenvalues of Random Hermitian Matrices Associated with Fixed and Varying Weights, Random Matrices: Theory and Applications, 5(2016), No.3, 1650009, 31 pages, http://dx.doi.org/10.1142/S201032631650009X.
Paper 258. Quadrature Identities for Interlacing and Orthogonal Polynomials, Proceedings of the Amer. Math. Soc, 144(2016), 4819-4829.
Paper 257. Universality in Measure in the Bulk for Varying Weights (Eli Levin, Doron Lubinsky), Michigan Mathematical Journal, 65(2016), 833-854.
Paper 256. Expected Number of Real Zeros for Random Orthogonal Polynomials (D. Lubinsky, I. Pritsker, X.Xie), Math. Proc. Cambridge Philosophical Society, 164(2018), 47-66.
Paper 255. Ed Saff at Three Score and Ten, Contemporary Mathematics, 661(2016), 1-27.
Paper 254. Expected Number of Real Zeros for Random Linear Combinations of Orthogonal Polynomials (D. Lubinsky, I. Pritsker, X.Xie), Proceedings of the Amer. Math. Soc., 144(2016), 1631-1642.
Paper 253. Scaling Limits for Mixed Kernels, Constructive Approximation, 43(2016), 311-336.
Paper 252. Orthogonal Dirichlet Polynomials with Laguerre Weight, Journal of Approximation Theory, 194(2015), 146-156.
Paper 251. Asymptotic Behavior of Nikolskii Constants
for Polynomials on the Unit Circle (Eli Levin, Doron Lubinsky), Computational Methods and Function Theory, 15(2015), 459-468.
Paper 250. Weighted Markov-Bernstein Inequalities for Entire Functions of Exponential Type, Publications de L'Institut Mathematique, 96(110)(2014), 181-192.
Paper
249. Universality Limits Involving Orthogonal Polynomials on a
Smooth Closed Contour, (Eli Levin, Doron Lubinsky), Contemporary Mathematics, 667(2016), 187-197.
Paper
248. Asymptotic Zero Distribution of Biorthogonal Polynomials, (Doron
Lubinsky, Avram Sidi, Herbert Stahl), Journal of Approximation Theory, 190(2015), 26-49.
Paper 247. Uniform Mean Value Estimates and Discrete Hilbert Inequalties via Orthogonal Dirichlet Series, Acta Math Hungarica, 143(2014), 422-438.
Paper 246. Orthogonal Dirichlet Polynomials with Arctan Density, in Journal of Approximation Theory, 177(2014), 43-56.
Paper 243. Reflections on the Baker-Gammel-Wills (Pade) Conjecture, (in) Analytic
Number Theory, Approximation Theory, and Special Functions (G.
Milovanovic, M. Rassias, eds.) , Springer, NY, 2014, pp. 561-571.
Paper
242. Universality Limits Involving Orthogonal Polynomials on Arcs of
the Unit Circle (D. Lubinsky and V. Nguyen), Computational Methods and Function Theory, 13(2013), 91-106.
Paper 240. Christoffel
Functions and Universality on the Boundary of the Ball (Andras Kroo and
Doron Lubinsky), Acta Math. Hungarica, 140(2013), 117-133.
Paper
239. Christoffel Functions and Universality in the Bulk for
Multivariate Orthogonal Polynomials (Andras Kroo and Doron Lubinsky),
Canadian Journal of Mathematics, 65(2013), 600-620.
Paper 238. Universality Limits via "old style" analysis, in
"Random Matrix Theory, Interacting Particle Systems, and Integrable
Systems" (eds. P. Deift and P. Forrester), MSRI proceedings Vol. 65,
Cambridge University Press, New York, 2014, pp. 277-292.
Paper 237. Discrete Beta Ensembles Based on Gauss Type Quadratures,Contemporary Mathematics, 578(2012), 143-163 (Proceedings of OPSFA 11)
Paper 236. A Variational Principle for Correlation Functions for
Unitary Ensembles, with Applications, Analysis and PDE, 6(2013), 109-130.
Unfortunately there are misprints in the published version, that are my fault. Their corrections are listed here.
Paper 235. How Poles of Orthogonal Rational Functions affect Their Christoffel Functions (Karl Deckers and
Doron Lubinsky), Journal of Approximation Theory, 164(2012), 1184-1199.
Paper 234. Bulk Universality Holds Pointwise in the Mean, for Compactly Supported Measures, Michigan Mathematical Journal, 61(2012), 631-649.
Paper 233. Polynomials Biorthogonal to Dilations of Measures, and Their Asymptotics (Avram Sidi and Doron Lubinsky), Journal of Mathematical Analysis and Applications, 397(2013), 91-108.
Paper 232. The Degree of Shape Preserving Weighted Polynomial Approximation (Dany Leviatan and D.S. Lubinsky), Journal of Approximation Theory, 164(2012), 218-228.
Paper 231. Christoffel Functions and
Universality Limits for Orthogonal Rational Functions (Karl Deckers and
Doron Lubinsky), Analysis and Applications,3(2012), 271-294.
Paper 230. Averages of Ratios of Christoffel
Functions for Compactly Supported Measures, East Journal of Approximations, 17(2011), 159-170.
Paper 229.
The Size of the Set of mu-Irregular Points of a Measure mu (Eli
Levin and Doron Lubinsky), Acta Math Hungarica, 133(2011), 242-250.
Paper 228. Old and New Geronimus Type Identities for Real Orthogonal Polynomials, Jaen Journal of Approximation Theory, 2(2010), 289-301.
Paper 227. New Integral Identities for Orthogonal Polynomial on the Real Line, Proceedings of the American Mathematical Society, 139 (2011) 1743-1750.
Paper 226. On Christoffel Functions and related Quantities for
Compactly Supported Measures, (in) Approximation Theory XIII: San
Antonio 2010,(eds. M. Neamtu and L. Schumaker), Springer, NY, 2011, pp.
207-220.
Paper 225. Bulk Universality Holds in
Measure for Compactly Supported Measures, Journal d"Analyse Math, 116(2012), 219-253.
Paper 224. A Maximal Function Approach to Christoffel Functions and
Nevai's Operators, Constructive Approximation, 34(2011), 357-369.
Paper 223. An Operator Associated with de Branges Spaces and Universality Limits, Contemporary Mathematics, 538(2011), 213-229.
Paper 222. Universality in the Bulk holds close to Given Points, Journal of Approximation Theory, 163(2011), 904-922.
Paper 221. Applications of New
Geronimus Type Identities for Real Orthogonal Polynomials, Proc. Amer. Math. Soc.
138 (2010),
2125-2134.
Paper 216. Some Recent Methods for Establishing Universality Limits, Journal of Nonlinear Analysis, 71(2009), e2750-e2765.
Paper 215. Universality Limits for Random Matrices and de Branges Spaces of Entire Functions, Journal of Functional Analysis, 256(2009), 3688-3729.
Paper 209.
Mutually Regular Measures have Similar Universality Limits, (in) Proceedings of Twelfth Texas Conference on
Approximation
Theory, (eds. M. Neamtu and L. Schumaker), Nashboro Press, Nashville, 2008, pp. 256-269.
Paper 208. Universality Limits in the Bulk for Arbitrary Measures
on a Compact Set, Journal d'Analyse Math., 106(2008), 373-394.
Paper 207. Universality Limits Involving Orthogonal Polynomials on the
Unit Circle (Eli Levin and Doron S Lubinsky), Computational Methods and Function Theory, 7(2007), 543-561.
Paper 165. On Mean Convergence of Trigonometric Interpolants, and Their Unit Circle Analogues, for General Arrays, Analysis, 22(2002), 97-107.
Paper 145. The Size of (q;q)nfor q on theUnit
Circle, Journal of Number
Theory,
76(1999), 217-247.