Equilibrium measures and capacities in spectral theory

Barry Simon

Type: Article

Publication Date: 2007-01-01

Citations: 94

DOI: https://doi.org/10.3934/ipi.2007.1.713

View Publication

Locations

Inverse Problems and Imaging - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Equilibrium measures and capacities in spectral theory	2007	Barry Simon
+	Logarithmic Potential Theory with Applications to Approximation Theory	2010	Edward B. Saff
+	Orthogonal polynomials on Cantor sets of zero Lebesgue measure	2016	Gökalp Alpan
+	Zero measure Cantor spectra for continuum one-dimensional quasicrystals	2013	Daniel Lenz Christian Seifert Peter Stollmann
+ PDF Chat	Koopman Operator Spectrum for Random Dynamical Systems	2019	Nelida Črnjarić-Žic Senka Mačešić Igor Mezić
+	Zero measure Cantor spectra for continuum one-dimensional quasicrystals	2013	Daniel Lenz Christian Seifert Peter Stollmann
+	Spectral Theory	2018	Randal Douc Éric Moulines Pierre Priouret Philippe Soulier
+	Zero measure Cantor spectra for continuum one-dimensional quasicrystals	2014	Daniel Lenz Christian Seifert Peter Stollmann
+	Potential Theory in the Complex Plane	1995	Thomas Ransford
+	Orthogonal polynomials of equilibrium measures supported on Cantor sets	2015	Giorgio Mantica
+	Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory : a conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday, March 27-31, 2006, California Institute of Technology, Pasadena, California	2007	Percy Deift Cherie Galvez Fritz Gesztesy
+	On the Existence of a Potential Theoretic Measure with Infinite Norm	1970	Shirô Ogawa
+	Discrete ergodic Jacobi matrices: Spectral properties and Quantum dynamical bounds	2017	Rui Han
+	Spectral Theory in Nonautonomous and Random Cases	2008	Janusz Mierczyński
+	Spectral Theory in Nonautonomous and Random Cases	2008
+ PDF Chat	The P\'olya-Tchebotarev problem with semiclassical external fields	2024	Victor Alves Guilherme L. F. Silva
+	Potential theory and a characterization of polynomials in complex dynamics	2010	Yûsuke Okuyama Małgorzata Stawiska
+	Positive operator-valued measures and phase-space representations	2003	R Robbert Beukema
+	Operator Ergodic Theory	2023	Guy Cohen Michael Lin
+	Operator Ergodic Theory	2022	Guy Cohen Michael Lin

Works That Cite This (92)

Action	Title	Year	Authors
+ PDF Chat	Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy	2018	Rui Han Svetlana Jitomirskaya
+	Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients	2022	Long Li David Damanik Qi Zhou
+ PDF Chat	Fine dimensional properties of spectral measures	2023	Michael Landrigan Matthew Powell
+	An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups	2010	Zheng Gan
+ PDF Chat	Global theory of one-frequency Schrödinger operators	2015	Artur Avila
+	Phase transition of capacity for the uniform $G_δ$-sets	2019	Victor Kleptsyn Fernando Quintino
+	Logarithmic Quantum Dynamical Bounds for Arithmetically Defined Ergodic Schrödinger Operators with Smooth Potentials	2022	Svetlana Jitomirskaya Matthew Powell
+ PDF Chat	Weak convergence of CD kernels and applications	2009	Barry Simon
+ PDF Chat	Orthogonal Polynomials Associated with Equilibrium Measures on ℝ $\mathbb {R}$	2016	Gökalp Alpan
+ PDF Chat	The Density of States Measure of the Weakly Coupled Fibonacci Hamiltonian	2012	David Damanik Anton Gorodetski

Works Cited by This (81)

Action	Title	Year	Authors
+	Geometric Theory of Functions of a Complex Variable	1969	G. Goluzin
+	None	2002	Jean Bourgain Svetlana Jitomirskaya
+	Green's Function Estimates for Lattice Schrödinger Operators and Applications.	2004	Jean Bourgain
+	General Orthogonal Polynomials	1992	Herbert Stahl Вилмос Тотик
+ PDF Chat	The Christoffel-Darboux kernel	2008	Barry Simon
+	Potential Theory in the Complex Plane	1995	Thomas Ransford
+	Equilibrium Problems of Potential Theory in the Complex Plane	2006	Andrei Martı́nez-Finkelshtein
+	Potential theory in modern function theory	1959	正次辻
+	Almost periodic Schrödinger operators II. The integrated density of states	1983	J. E. Avron Barry Simon
+	Polynomials and Polynomial Inequalities	1995	Peter Borwein Tamás Erdélyi