Simon, Barry
- Lieb-Thirring Inequalities for Jacobi Matrices
2001/12/13 by Dirk Hundertmark, Barry Simon, Hundertmark, Dirk +1 · 3 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
- Higher-Order Szego Theorems With Two Singular Points
2004/09/23 by Barry Simon, Andrej Zlatos, Simon, Barry +1 · 2 citations
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.CA #math.MP
- Weak convergence of CD kernels and applications
2007/07/17 by Barry Simon, Simon, Barry · 2 citations
Mathematics · #05E35 #33C45 #60B10 #Analytic and geometric function theory #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Spectral Theory (math.SP)
- The Nevai Condition
2008/09/12 by Breuer, Jonathan, Last, Yoram, Simon, Barry · 2 citations
#30C10 #39A10 #42C05 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegŐ, Schiefermayr, and Totik--Widom Bounds
2017/12/10 by Christiansen, Jacob S., Simon, Barry, Zinchenko, Maxim · 3 citations
#30C10 #30C80 #41A50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Eigenvalue bounds for Schrödinger operators with complex potentials. II
2015/04/05 by Frank, Rupert L., Simon, Barry · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case
2018/12/27 by Christiansen, Jacob S., Simon, Barry, Zinchenko, Maxim · 2 citations
#30C10 #30C80 #41A50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Zeros of orthogonal polynomials on the real line
2002/09/24 by Sergey A. Denisov, Barry Simon, Denisov, Sergey A. +1 · 1 citation
Mathematics · Physics and Astronomy · #42C05 #47B36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.CA #math.MP #msc:42C05 #msc:47B36
- Limits of Zeros of Orthogonal Polynomials on the Circle
2004/04/29 by Barry Simon, Vilmos Totik, Вилмос Тотик +2 · 1 citation
Mathematics · #42C05 #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Mathematical functions and polynomials #Spectral Theory (math.SP) #math.SP #msc:42C05
- OPUC on One Foot
2005/02/23 by Barry Simon, Simon, Barry · 1 citation
Computer Science · Mathematics · #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials #Matrix Theory and Algorithms #math.CA #math.SP #msc:30E05 #msc:42A70 #msc:42C05
- Orthogonal polynomials on the unit circle: New results
2004/05/06 by Barry Simon, Simon, Barry · 1 citation
Mathematics · #42C05 #47B35 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:42C05 #msc:47B35
- Fine Structure of the Zeros of Orthogonal Polynomials, II. OPUC With Competing Exponential Decay
2004/11/17 by Barry Simon, Simon, Barry · 1 citation
Mathematics · #42C05 #FOS: Mathematics #Primary 4C05 #Secondary 47B36 #Spectral Theory (math.SP) #math.SP #msc:42C05 #msc:47B36 #msc:4C05
- Fine Structure of the Zeros of Orthogonal Polynomials, I. A Tale of Two Pictures
2004/11/17 by Barry Simon, Simon, Barry · 1 citation
Mathematics · #42C05 #FOS: Mathematics #Primary 4C05 #Secondary 47B36 #Spectral Theory (math.SP) #math.SP #msc:42C05 #msc:47B36 #msc:4C05
- Fine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients
2004/12/16 by Barry Simon, Simon, Barry · 1 citation
Mathematics · #35Q58 #FOS: Mathematics #Primary 26C10 #Secondary 48J53 #Spectral Theory (math.SP) #math.SP #msc:26C10 #msc:35Q58 #msc:48J53
- Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
2006/03/03 by E. B. Davies, Davies, E. B., Barry Simon +1 · 1 citation
Mathematics · #05E35 #34L15 #47B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Orthogonal polynomials with exponentially decaying recursion coefficients
2006/03/03 by Barry Simon, Simon, Barry · 1 citation
Computer Science · Mathematics · #05E35 #30D30 #47B36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Spectral Theory (math.SP)
- Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle
2006/06/01 by Simon, Barry · 1 citation
#05E35 #30C15 #47B36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Spectral Theory (math.SP)
- Equilibrium measures and capacities in spectral theory
2007/11/16 by Simon, Barry · 1 citation
#05E35 #31A15 #34L05 #FOS: Mathematics #Spectral Theory (math.SP)
- The Christoffel-Darboux Kernel
2008/06/09 by Barry Simon, Simon, Barry · 1 citation
Mathematics · #Mathematical functions and polynomials
- Natural Boundaries and Spectral Theory
2010/02/03 by Breuer, Jonathan, Simon, Barry · 1 citation
#30B20 #30B30 #35P05 #Complex Variables (math.CV) #FOS: Mathematics #Spectral Theory (math.SP)
- Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach
2016/08/04 by Breuer, Jonathan, Simon, Barry, Zeitouni, Ofer · 1 citation
#35P05 #42C05 #60F10 #FOS: Mathematics #Probability (math.PR)
- Asymptotics of Chebyshev Polynomials, V. Residual Polynomials
2020/08/21 by Christiansen, Jacob S., Simon, Barry, Zinchenko, Maxim · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
- Periodic Boundary Conditions for Periodic Jacobi Matrices on Trees
2020/11/11 by Avni, Nir, Breuer, Jonathan, Kalai, Gil +1 · 1 citation
#47B15 20E08 #47B36 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
- A Useful Formula for Periodic Jacobi Matrices on Trees
2023/09/01 by Banks, Jess, Breuer, Jonathan, Vargas, Jorge Garza +2 · 1 citation
#47B15 20E08 #47B36 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)