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- Eli Levin, Doron S. Lubinsky
- Journal of Approximation Theory
- 2008

We apply universality limits to asymptotics of spacing of zeros fxkng of orthogonal polynomials, for weights with compact support and for exponential weights. A typical result is lim n!1 xkn xk+1;n ~â€¦ (More)

- Nimish Kumar Acharya, Eli Levin, +14 authors Robert G. Nagele
- Journal of Alzheimer's disease : JAD
- 2013

Diabetes mellitus (DM) and hypercholesterolemia (HC) have emerged as major risk factors for Alzheimer's disease, highlighting the importance of vascular health to normal brain functioning. Ourâ€¦ (More)

- Eli Levin, Doron S. Lubinsky
- Journal of Approximation Theory
- 2005

Let I = [0, d), whered is finite or infinite. LetW (x)= x exp(âˆ’Q(x)), where >âˆ’ 1 2 andQ is continuous and increasing on I , with limit âˆž atd. We study the orthonormal polynomials associated with theâ€¦ (More)

- Robert G. Nagele, Peter M Clifford, +13 authors Andrew S. Levitas
- Journal of Alzheimer's disease : JAD
- 2011

Previous studies have reported immunoglobulin-positive neurons in Alzheimer's disease (AD) brains, an observation indicative of blood-brain barrier (BBB) breakdown. Recently, we demonstrated theâ€¦ (More)

- Eli Levin, Nimish Kumar Acharya, +4 authors Robert G. Nagele
- Brain research
- 2009

Early pathological features of Alzheimer's disease (AD) include synaptic loss and dendrite retraction, prior to neuronal loss. How neurons respond to this evolving AD pathology remains elusive. Inâ€¦ (More)

Universality limits are a central topic in the theory of random matrices. We establish universality limits in the bulk of the spectrum for varying measures, using the theory of entire functions ofâ€¦ (More)

We establish universality limits for measures on the unit circle. Assume that is a regular measure on the unit circle in the sense of Stahl and Totik, and is absolutely continuous in an open arcâ€¦ (More)

- Eli Levin
- 2002

We establish a Â…rst order asymptotic for the entropy integrals Z I pn log pn W 2 and Z I pn log (pnW ) 2 W 2 where fpngn=0 are the orthonormal polynomials associated with the exponential weight W . 1â€¦ (More)

- Eli Levin, Doron S. Lubinsky
- Journal of Approximation Theory
- 2007

Let, for example, W (x) = exp expk 1 x , x 2 [ 1; 1] where > 0, k 1; and expk = exp (exp (::: exp ())) denotes the kth iterated exponential. Let fAng denote the recurrence coeÂ¢ cients in theâ€¦ (More)

- Eli Levin, Doron S. Lubinsky
- Journal of Approximation Theory
- 2006

Let I = [0, d), where d is finite or infinite. Let W (x) = x exp (âˆ’Q (x)), where > âˆ’ 1 2 and Q is continuous and increasing on I, with limit âˆž at d. We obtain further bounds on the orthonormalâ€¦ (More)