SIMON'S OPUC HAUSDORFF DIMENSION CONJECTURE
(WITH D. DAMANIK AND S. GUO)
Preprint. arXiv:2011.01411
SUBORDINACY THEORY FOR EXTENDED CMV MATRICES
(WITH S. GUO AND D. DAMANIK)
To appear in Science China Mathematics
THERE IS NO HIERARCHY OF CANONICAL SYSTEM FLOWS SIMILAR TO THE KDV HIERARCHY
(WITH I. HUR)
Preprint. arXiv:1811.11366
Journal of Mathematics and the Arts, 14, Issue 4, 285-296 (2020)
SHARP SPECTRAL TRANSITION FOR EIGENVALUES EMBEDDED INTO THE SPECTRAL BANDS OF PERTURBED PERIODIC OPERATORS
(WITH W. LIU)
To appear in Journal d'Analyse Mathematique
GENERALIZED TODA FLOWS
(WITH C. REMLING)
Transactions of the American Mathematical Society 371, Issue 7, 5069–5081 (2019)
SPECTRAL APPROXIMATION FOR ERGODIC CMV OPERATORS WITH AN APPLICATION TO QUANTUM WALKS
(WITH J.FILLMAN AND T. VANDENBOOM)
Journal of Mathematical Analysis and Applications, 467, Issue 1, 132-147 (2018)
Linear Algebra and its Applications 549, 12-29 (2018)
A CONDITION FOR PURELY ABSOLUTELY CONTINUOUS SPECTRUM FOR CMV OPERATORS USING THE DENSITY OF STATES
(WITH J. FILLMAN)
Proceedings of the American Mathematical Society 146, Issue 2, 571-580 (2018)
PURELY SINGULAR CONTINUOUS SPECTRUM FOR LIMIT-PERIODIC CMV OPERATORS WITH APPLICATIONS TO QUANTUM WALKS
(WITH J. FILLMAN).
Journal of Functional Analysis 272, Issue 12, 5107-5143 (2017)
SPECTRAL CHARACTERISTICS OF THE UNITARY CRITICAL ALMOST-MATHIEU OPERATOR
(WITH J. FILLMAN AND Z. ZHANG)
Communications in Mathematical Physics 351, Issue 2, 525-561 (2017)
Journal of Mathematical Analysis and Applications, 444, Issue 2, 1490-1514 (2016)
SPREADING ESTIMATES FOR QUANTUM WALKS ON THE INTEGER LATTICE VIA POWER-LAW BOUNDS ON TRANSFER MATRICES
(WITH D. DAMANIK AND J. FILLMAN)
Journal de Mathématiques Pures et Appliquées, 105, Issue 3, 293-341 (2016)
Transactions of the American Mathematical Society 367, 707-724 (2015)
HÖLDER CONTINUITY OF SPECTRAL MEASURES OF AN EXTENDED CMV MATRIX
(WITH P. MUNGER)
Journal of Mathematical Physics 55, 093507 (2014)
Journal of Statistical Physics 155, 763-776 (2014)
Discrete and Continuous Dynamical Systems. Proceedings of the 9th AIMS Conference Special Issue, pp. 605-609 (2013)
Journal of Mathematical Analysis and Applications 394.2, 633-644 (2012)
Forum Geometricorum 11, 95-107 (2011).
THE FROBENIUS NUMBER OF GEOMETRIC SEQUENCES
(WITH V.PONOMARENKO)
INTEGERS: The Electronic Journal of Combinatorial Number Theory 8, A33 (2008)