ACADEMIC PUBLICATIONS
My ORCID is 0000-0003-4942-4376. Here is my ORCID page.
Please note that in mathematics, authors of papers are almost always listed in alphabetical order- consult this statement on author ordering by the American Mathematical Society.
ALMOST EVERYTHING ABOUT THE UNITARY ALMOST MATHIEU OPERATOR
(WITH C. CEDZICH AND J. FILLMAN)
EXACT MOBILITY EDGES FOR ALMOST-PERIODIC CMV MATRICES VIA GAUGE SYMMETRIES
​
(WITH C. CEDZICH, J. FILLMAN, L. LI AND Q. ZHOU)
To appear in International Mathematics Research Notices
Bulletin of the Malaysian Mathematical Sciences Society 384, 46, Issue 153 (2023)
SIMON'S OPUC HAUSDORFF DIMENSION CONJECTURE
(WITH D. DAMANIK AND S. GUO)
Mathematische Annalen, 384, 1-37 (2022)
SUBORDINACY THEORY FOR EXTENDED CMV MATRICES
(WITH S. GUO AND D. DAMANIK)
ON SIMON’S HAUSDORFF DIMENSION CONJECTURE
(WITH D. DAMANIK, J. FILLMAN, AND S. GUO)
In: Gesztesy F., Martinez-Finkelshtein A. (eds) From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory. Operator Theory: Advances and Applications, vol 285. Birkhäuser, Cham.
Integral Equations and Operator Theory 93, Number 40 (2021)
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)
Journal d’Analyse Mathematique 141, 625–661 (2020)
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)