Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks

Jake Fillman, Darren C. Ong

Type: Article

Publication Date: 2017-02-07

Citations: 22

DOI: https://doi.org/10.1016/j.jfa.2017.01.021

View Publication

Locations

arXiv (Cornell University) - View - PDF
Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Purely Singular Continuous Spectrum for CMV Operators Generated by Subshifts	2014	Darren C. Ong
+	Purely continuous spectrum for generic almost-periodic potential	1998	Alexander Ya. Gordon
+ PDF Chat	Singular continuous Cantor spectrum for magnetic quantum walks	2020	Christopher Cedzich Jake Fillman T. Geib Albert H. Werner
+	Singular continuous Floquet operator for periodic quantum systems	2004	Olivier Bourget
+	Jacobi Operators with Singular Continuous Spectrum	2005	Deborah Koslover
+	Singular Continuous Spectrum for the Period Doubling Hamiltonian on a Set of Full Measure	1998	David Damanik
+	Singular integral operators with noninvertible shift with periodic blocks	1986	Yuri Latushkin
+	Structure of the spectrum of a lacunary-limit-periodic Schr�dinger operator	1985	Stanislav Molchanov V. A. Chulaevskiĭ
+ PDF Chat	Spectral Properties of Limit-Periodic Operators	2020	David Damanik Jake Fillman
+	Spectral Properties of Limit-Periodic Operators	2018	David Damanik Jake Fillman
+	Spectral Properties of Limit-Periodic Schrödinger Operators (PhD Thesis)	2012	Hendrik David Gideonse
+	Almost sure purely singular continuous spectrum for quasicrystal models	2014	Christian Seifert
+ PDF Chat	Singular integrals and periodic functions	1954	A. P. Calderón Antoni Zygmund
+	Singular integrals and periodic functions	1989	A. P. Calderón A. Zygmund
+	Singular continuous phase for Schrödinger operators over circle maps	2023	Saša Kocić
+	Spectrum of multidimensional periodic operators	1990	O. A. Veliev
+	Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients	2011	L. P. Castro A. S. Silva
+	Almost-periodic elliptic operators and von Neumann algebras	1975	Mikhail Shubin
+	Singular integral operators with non-karleman shift on an open contour	1980	Alexei Myasnikov Л. И. Сазонов
+	Singular continuous spectrum for certain quasicrystal Schrödinger operators	2004	Daniel Lenz

Works That Cite This (18)

Action	Title	Year	Authors
+ PDF Chat	Dispersive estimates for quantum walks on 1D lattice	2021	Masaya Maeda Hironobu Sasaki Etsuo Segawa Akito Suzuki Kanako Suzuki
+	Generic Spectral Results for CMV Matrices with Dynamically Defined Verblunsky Coefficients	2020	Licheng Fang David Damanik Shuzheng Guo
+ PDF Chat	Spectral approximation for ergodic CMV operators with an application to quantum walks	2018	Jake Fillman Darren C. Ong Tom VandenBoom
+ PDF Chat	Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients	2020	Licheng Fang David Damanik Shuzheng Guo
+ PDF Chat	Cantor spectrum for CMV matrices with almost periodic Verblunsky coefficients	2022	Long Li David Damanik Qi Zhou
+	Absence of singular continuous spectra and embedded eigenvalues for one-dimensional quantum walks with general long-range coins	2022	Masaya Maeda Akito Suzuki Kazuyuki Wada
+	Time operators for continuous-time and discrete-time quantum walks	2019	Daiju Funakawa Yasumichi Matsuzawa Akito Suzuki Itaru Sasaki Noriaki Teranishi
+ PDF Chat	Limit-periodic Dirac operators with thin spectra	2022	Benjamin Eichinger Jake Fillman Ethan Gwaltney Milivoje Lukić
+ PDF Chat	Spectral Properties of Limit-Periodic Operators	2020	David Damanik Jake Fillman
+ PDF Chat	An eigenfunction expansion formula for one-dimensional two-state quantum walks	2022	Tatsuya Tate

Works Cited by This (37)

Action	Title	Year	Authors
+	Techniques in fractal geometry	1997	K. J. Falconer
+	An Invitation to Random Schroedinger operators	2007	Werner Kirsch
+	Orthogonal Polynomials on the Unit Circle	2005	Barry Simon
+ PDF Chat	Revivals in quantum walks with a quasiperiodically-time-dependent coin	2016	Christopher Cedzich Reinhard F. Werner
+	Observation of quasiperiodic dynamics in a one-dimensional quantum walk of single photons in space	2014	Peng Xue Hao Qin Bao Quoc Tang Barry C. Sanders
+	Log h�lder continuity of the integrated density of states for stochastic Jacobi matrices	1983	Walter Craig Barry Simon
+ PDF Chat	Dynamical Localization of Quantum Walks in Random Environments	2010	Alain Joye Marco Merkli
+	Almost periodic Schr�dinger operators	1983	Percy Deift Barry Simon
+ PDF Chat	Dynamical localization for d-dimensional random quantum walks	2012	Alain Joye
+	Analogs of the m-function in the theory of orthogonal polynomials on the unit circle	2004	Barry Simon