Spectral Theory Seminar



Fall 2022

  • Wednesday, August 24, 2022
    Vaughn Climenhaga (University of Houston)
    Counting Closed Geodesics
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, August 31, 2022
    Anton Gorodetski (UC Irvine)
    Hölder Regularity of Stationary Measures (Postponed)
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, September 7, 2022
    Silas Luiz de Carvalho (Universidade Federal de Minas Gerais)
    Criteria for the Absolutely Continuous Spectral Components of Block Jacobi Matrices
    12:00 - 1:00 p.m.  //  (Zoom)  

  • Wednesday, September 21, 2022
    William Wood (UC Irvine)
    Uniform Hyperbolicity and the Periodic Anderson-Bernoulli Model
    12:00 - 1:00 p.m.  //  (Zoom)  

  • Wednesday, October 12, 2022
    Matthew Powell (UC Irvine)
    Continuity of the Lyapunov Exponent for Analytic Multi-Frequency Quasi-Periodic Cocycles
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, October 19, 2022
    Marius Lemm (Universität Tübingen)
    Spectra of Matrices Defined via Skew-Shift Dynamics
    12:00 - 1:00 p.m.  //  (Zoom)  

  • Wednesday, October 26, 2022
    Mostafa Sabri (New York University Abu Dhabi)
    Quantum Ergodicity for Periodic Graphs
    10:00 - 11:00 a.m.  //  (Zoom)  

  • Wednesday, November 2, 2022
    Philipp Gohlke (Lund University)
    Schrödinger Operators with Periodic Background Potentials
    12:00 - 1:00 p.m.  //  (Zoom)  

  • Wednesday, November 9, 2022
    Peter Stollmann (Technische Universität Chemnitz)
    Essential Spectrum and Feller Type Properties
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, November 16, 2022
    Jonas Lührmann (Texas A&M University)
    On Asymptotic Stability of Solitons in Classical Scalar Field Theories on the Line
    12:00 - 1:00 p.m.  //  HBH 453  

Spring 2022

  • Wednesday, February 2, 2022
    David Damanik (Rice University)
    Gap Labelling: What is it and why is it Useful?
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 16, 2022
    Zhenghe Zhang (UC Riverside)
    Correspondence Between the Spectrum of Jacobi Operators and Domination of Jacobi Cocycles
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 23, 2022
    Injo Hur (Chonnam National University)
    Schrödinger Canonical Systems
    8:00 - 9:00 a.m.  //  (Zoom)  

  • Wednesday, March 2, 2022
    Darren Ong (Xiamen University Malaysia)
    Aubry Duality for Unitary Operators with Applications to Quantum Walks
    8:00 - 9:00 a.m.  //  (Zoom)  

  • Wednesday, March 9, 2022
    Rui Han (Louisiana State University)
    Localization for Anisotropic XY Spin Chain in Quasi-Periodic Magnetic Field
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 23, 2022
    Long Li (Nanjing University)
    Absolutely Continuous Spectrum for CMV Matrices With Small Quasi-Periodic Verblunsky Coefficients
    8:00 - 9:00 a.m.  //  (Zoom)  

  • Wednesday, April 6, 2022
    Chunyi Wang (Rice University)
    Direct and Inverse Spectral Theory for Hamiltonian System
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 13, 2022
    Patricia Alonso Ruiz (Texas A&M University)
    Minimal Gap in the Spectrum of the Sierpinski Gasket
    12:00 - 1:00 p.m.  //  HBH 427  

  • Thursday, April 14, 2022
    Giorgio Cipolloni (Princeton University)
    How do the Eigenvalues of a Large Random Non-Hermitian Matrix Behave?
    9:30 - 10:30 a.m.  //  HBH 453  

Fall 2021

  • Wednesday, September 8, 2021
    Ethan Gwaltney (Rice University)
    Dirac Operators with Operator Data of Wigner-von Neumann Type
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, September 22, 2021
    Alberto Takase (UC Irvine)
    Dynamical-and-Spectral Continuity
    12:00 - 1:00 p.m.  //  (Zoom)  

  • Wednesday, October 6, 2021
    Giorgio Young (Rice University)
    Ballistic Transport for Limit-Periodic Schrödinger Operators in One Dimension
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, December 1, 2021
    Burak Hatinoglu (UC Santa Cruz)
    Spectral Properties of Periodic Elastic Beam Lattices
    12:00 - 1:00 p.m.  //  (Zoom)  

Fall 2020

  • Wednesday, September 16, 2020
    Giorgio Young (Rice University)
    Orthogonal Rational Functions With Real Poles, Root Asymptotics, and GMP Matrices
    12:15 - 1:15 p.m.  //  (Zoom)  

  • Wednesday, October 7, 2020
    Tom VandenBoom (Yale University)
    Localization and Cantor Spectrum for $C^2$ Quasi-Periodic Schrödinger Operators
    12:15 - 1:15 p.m.  //  (Zoom)  

  • Wednesday, October 14, 2020
    Ethan Gwaltney (Rice University)
    Dirac Operators and Asymptotic Behavior of Eigensolutions
    12:15 - 1:15 p.m.  //  (Zoom)  

  • Friday, October 23, 2020
    Jake Fillman (Texas State University)
    Walks with Quasiperiodic Coins
    12:15 - 1:15 p.m.  //  (Zoom)  

  • Friday, October 30, 2020
    Selim Sukhtaiev (Auburn University)
    Hadamard-Type Formulas and Resolvent Expansions
    4:00 - 5:00 p.m.  //  (Zoom)  

  • Wednesday, November 11, 2020
    Yakir Forman (Yale University)
    Double Resonance in Spectral Analysis of $C^2$ Quasi-Periodic Schrödinger Operators
    12:15 - 1:15 p.m.  //  (Zoom)  

  • Wednesday, November 18, 2020
    Kyle Scarbrough (University of Oklahoma)
    Oscillation Theory for Canonical Systems
    1:00 - 2:00 p.m.  //  (Zoom)  

Spring 2020

  • Wednesday, January 22, 2020
    Maria Ntekoume (UCLA)
    Symplectic Non-Squeezing for the KdV Flow on the Line
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, January 29, 2020
    Chunyi Wang (Rice University)
    Integrated Density of States with Application in Almost Periodic Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 5, 2020
    Darren Ong (Xiamen University Malaysia)
    Restrictions on the Existence of a Canonical System Flow Hierarchy
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 4, 2020
    Ram Band (Technion)
    The Characteristic Torus for Spectral Problems
    12:00 - 1:00 p.m.  //  HBH 427  

Fall 2019

  • Wednesday, September 4, 2019
    Hyunkyu Jun (Rice University)
    Cantor Spectrum for CMV and Jacobi Matrices with Coefficients Arising from Generalized Skew-Shifts I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 11, 2019
    Hyunkyu Jun (Rice University)
    Cantor Spectrum for CMV and Jacobi Matrices with Coefficients Arising from Generalized Skew-Shifts II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Friday, September 27, 2019
    Jake Fillman (Texas State University)
    Bethe-Sommerfeld Conjectures on Discrete Structures
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 9, 2019
    Giorgio Young (Rice University)
    Uniqueness of Solutions of the KdV-Hierarchy via Dubrovin Type Flows
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 16, 2019
    Zhiyan Zhao (Université de Nice)
    Dispersion for the Discrete Operators With Absolutely Continuous Spectrum
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 23, 2019
    Wencai Liu (Texas A&M University)
    Anderson Localization for Multi-Frequency Quasi-Periodic Operators on Higher-Dimensional Lattices
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 13, 2019
    Burak Hatinoglu (Texas A&M University)
    Mixed Data in Inverse Spectral Theory of Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, December 4, 2019
    Chunyi Wang (Rice University)
    Schrödinger Operator with Periodic Potential and Bethe-Sommerfeld Conjecture
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, December 11, 2019
    Benjamin Eichinger (Rice University)
    Stahl-Totik Regularity for Continuum Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 427  



Spring 2019

  • Wednesday, January 23, 2019
    Benjamin Eichinger
    Periodic Coordinates and a Magic Formula for Finite-Gap CMV Matrices I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, January 30, 2019
    Benjamin Eichinger
    Periodic Coordinates and a Magic Formula for Finite-Gap CMV Matrices II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 13, 2019
    Benjamin Eichinger
    Periodic Coordinates and a Magic Formula for Finite-Gap CMV Matrices III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 20, 2019
    Benjamin Eichinger
    Periodic Coordinates and a Magic Formula for Finite-Gap CMV Matrices IV
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 27, 2019
    Benjamin Eichinger
    Periodic Coordinates and a Magic Formula for Finite-Gap CMV Matrices V
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 6, 2019
    Philipp Gohlke
    Scaling Properties of the Thue-Morse Measure I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, March 18, 2019
    Philipp Gohlke
    Scaling Properties of the Thue-Morse Measure II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 27, 2019
    Philipp Gohlke
    Scaling Properties of the Thue-Morse Measure III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, April 1, 2019
    Philipp Gohlke
    Scaling Properties of the Thue-Morse Measure IV
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 10, 2019
    Philipp Gohlke
    Scaling Properties of the Thue-Morse Measure V
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 17, 2019
    Zhe Zhou
    The Rotation Number for the Schrödinger Equation With $\delta$-Potentials and Uniform Ergodic Theorem
    12:00 - 1:00 p.m.  //  HBH 427  



Fall 2018

  • Wednesday, September 26, 2018
    Hyunkyu Jun
    Cantor Spectrum for Schrödinger Operators with Potentials Arising From Skew-Shifts I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 10, 2018
    Hyunkyu Jun
    Cantor Spectrum for Schrödinger Operators with Potentials Arising From Skew-Shifts II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 17, 2018
    Hyunkyu Jun
    Cantor Spectrum for Schrödinger Operators with Potentials Arising From Skew-Shifts III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 24, 2018
    Hyunkyu Jun
    Cantor Spectrum for Schrödinger Operators with Potentials Arising From Skew-Shifts IV
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 31, 2018
    Hyunkyu Jun
    Cantor Spectrum for Schrödinger Operators with Potentials Arising From Skew-Shifts V
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 28, 2018
    Licheng Fang
    Anderson Localization for Quasi-Periodic Jacobi Operator with Gevrey-Class Potentials
    12:00 - 1:00 p.m.  //  HBH 427  



Spring 2018

  • Wednesday, January 31, 2017
    Milivoje Lukic
    One-Dimensional Periodic Schrödinger Operators with H^{-1}(T) Potentials
    12:00 - 1:00 p.m.  //  HBH 427  



Fall 2017

  • Wednesday, September 6, 2017
    Gökalp Alpan
    Spectral Theory of Orthogonal Polynomials on Cantor Sets
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 13, 2017
    Tom VandenBoom
    Existence of Solutions to the KdV Hierarchy
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 20, 2017
    Selim Sukhtaiev
    A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Arbitrary Open Sets
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 27, 2017
    Daniel Sell
    The Factor Complexity of a Simple Toeplitz Subshift
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 18, 2017
    Vitalii Gerbuz
    Introduction to Graph Laplacian I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 1, 2017
    Vitalii Gerbuz
    Introduction to Graph Laplacian II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 8, 2017
    Selim Sukhtaiev
    On Limits of Quantum Graph Operators with Shrinking Edges
    12:00 - 1:00 p.m.  //  HBH 427  



Spring 2017

  • Wednesday, January 25, 2017
    Tom VandenBoom
    Reflectionless Discrete Schrödinger Operators Are Spectrally Atypical
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 8, 2017
    Vitalii Gerbuz
    Exact-Dimensional Properties of DOS for Sturmian Hamiltonians
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 15, 2017
    Benjamin Eichinger
    Periodic GMP Matrices
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 8, 2017
    Fengpeng Wang
    Proving Localization for CMV Matrices
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 22, 2017
    Valmir Bucaj
    From 'Operators With a Soul' to Certain Forms of Dynamical Localization
    12:00 - 1:00 p.m.  //  HBH 427  



Fall 2016

  • Wednesday, September 14, 2016
    Yi Gu
    Introduction to OPUC I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 21, 2016
    Yi Gu
    Introduction to OPUC II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 28, 2016
    Zhenghe Zhang
    Holder Continuity of the Lyapunov Exponent via LDT and Avalanche Principle
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 5, 2016
    Yi Gu
    Introduction to OPUC III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 12, 2016
    Yi Gu
    Introduction to OPUC IV
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 19, 2016
    Tom VandenBoom
    Cocycle Reducibility of Reflectionless Jacobi Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 26, 2016
    Yi Gu
    Introduction to OPUC V
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, October 31, 2016
    Yi Gu
    Introduction to OPUC VI
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 9, 2016
    Valmir Bucaj
    Generalized Prüfer Variables and Sparse Pertubations for One-Dimensional Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 16, 2016
    Yi Gu
    Introduction to OPUC VII
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 23, 2016
    Yi Gu
    Introduction to OPUC VIII
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 30, 2016
    Yi Gu
    Introduction to OPUC IX
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, December 7, 2016
    Fengpeng Wang
    Positive Lyapunov Exponents for Quasiperiodic Szegö Cocycles
    12:00 - 1:00 p.m.  //  HBH 427  



Spring 2016

  • Wednesday, January 13, 2016
    Paul Jung
    The Phenomena of Heavy Tails in Physical Models Including Random Matrices
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, January 20, 2016
    Tom VandenBoom
    Almost-Periodicity in Time of Solutions of the Toda Flow
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, January 27, 2016
    Tom VandenBoom
    Almost-Periodicity in Time of Solutions of the Toda Flow II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 3, 2016
    Tom VandenBoom
    Almost-Periodicity in Time of Solutions of the Toda Flow III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 17, 2016
    Daniel Bernazzani
    Most Interval Exchanges Are Not Powers
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 16, 2016
    Darren Ong
    The Toda Hierarchy Expressed in Terms of Continuity Conditions on a Matrix Cocycle
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 23, 2016
    Valmir Bucaj
    Localization for Anderson-Type Models I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 30, 2016
    Valmir Bucaj
    Localization for Anderson-Type Models II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 6, 2016
    Valmir Bucaj
    Localization for Anderson-Type Models III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 13, 2016
    Valmir Bucaj
    Localization for Anderson-Type Models IV
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 20, 2016
    Zhenghe Zhang
    Uniform Positivity of the Lyapunov Exponent for Monotone Potentials Generated by the Doubling Map
    12:00 - 1:00 p.m.  //  HBH 427  



Fall 2015

  • Wednesday, August 26, 2015
    Valmir Bucaj
    The Kunz-Souillard Approach to Localization for Jacobi Operators I
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, September 2, 2015
    Valmir Bucaj
    The Kunz-Souillard Approach to Localization for Jacobi Operators II
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, September 9, 2015
    Vitalii Gerbuz
    Transport Exponents of Schrödinger Operators With Sturmian Potentials I
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, September 16, 2015
    Vitalii Gerbuz
    Transport Exponents of Schrödinger Operators With Sturmian Potentials II
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, September 23, 2015
    Zhenghe Zhang
    Spectral and Dynamical Characteristic of the Unitary Almost Mathieu Operator I
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, October 14, 2015
    Zhenghe Zhang
    Spectral and Dynamical Characteristic of the Unitary Almost Mathieu Operator II
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, October 21, 2015
    Zhenghe Zhang
    Spectral and Dynamical Characteristic of the Unitary Almost Mathieu Operator III
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, October 28, 2015
    Tom VandenBoom
    Isospectral Dynamics via Lax Pairs
    12:00 - 1:00 p.m.  //  HBH 453  

  • Wednesday, November 4, 2015
    Qi Zhou
    Second Phase Transition Line of the Almost Mathieu Operator
    12:00 - 1:00 p.m.  //  HBH 453  



Spring 2015

  • Wednesday, February 4, 2015
    Vitalii Gerbuz
    Hausdorff Decomposition of the Spectral Measure for the Schrödinger Operator I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 11, 2015
    Vitalii Gerbuz
    Hausdorff Decomposition of the Spectral Measure for the Schrödinger Operator II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 18, 2015
    Tom VandenBoom
    The Real Jacobi Inversion Problem I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 25, 2015
    Tom VandenBoom
    The Real Jacobi Inversion Problem II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 11, 2015
    Tom VandenBoom
    The Real Jacobi Inversion Problem III
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 18, 2015
    Valmir Bucaj
    The Kunz-Souillard Approach to Localization I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 25, 2015
    Valmir Bucaj
    The Kunz-Souillard Approach to Localization II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, March 30, 2015
    William Yessen
    Mixed Spectral Regimes for Square Fibonacci Hamiltonians
    12:00 - 1:00 p.m.  //  HBH 423  



Fall 2014

  • Wednesday, August 27, 2014
    Jake Fillman
    Spectral Theory of Discrete Limit-Periodic Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 3, 2014
    William Yessen
    Overview of the Spectral Theory of One-Dimensional Substitution Hamiltonians
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 10, 2014
    William Yessen
    Some Open Problems and Research Directions in One-Dimensional Substitution Hamiltonians
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 17, 2014
    Jake Fillman
    Spectral Homogeneity for Limit Periodic Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 24, 2014
    Jake Fillman
    Spectral Homogeneity for Limit Periodic Schrödinger Operators II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 1, 2014
    Tom VandenBoom
    Reflectionless Jacobi Operators I: The Isospectral Torus
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 8, 2014
    Tom VandenBoom
    Reflectionless Jacobi Operators II: The Breimesser-Pearson Theorem
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 15, 2014
    Tom VandenBoom
    Reflectionless Jacobi Operators III: The Oracle Theorem
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 5, 2014
    Zhenghe Zhang
    Positive Lyapunov Exponents for Quasiperiodic Schrödinger Operators I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 12, 2014
    Zhenghe Zhang
    Positive Lyapunov Exponents for Quasiperiodic Schrödinger Operators II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 19, 2014
    William Yessen
    On the Hausdorff Dimension of the Square Fibonacci Hamiltonian (and Friends)
    12:00 - 1:00 p.m.  //  HBH 427  



Spring 2014

  • Friday, January 31, 2014
    William Yessen
    Quantum Information Transport in One-Dimensional Spin-1/2 Chains
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, April 21, 2014
    Milivoje Lukic
    Ballistic Motion for Periodic Jacobi Matrices and Periodic Block-Jacobi Matrices
    12:00 - 1:00 p.m.  //  HBH 453  



Fall 2013

  • Thursday, August 29, 2013
    Darren Ong
    Existence of Embedded Eigenvalues for Decaying Oscillatory Perturbations of Periodic Schrödinger Operators
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, September 5, 2013
    Jake Fillman
    On the Existence of Bound States for Discrete Schrödinger Operators
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, September 12, 2013
    Milivoje Lukic
    Limit-Periodic Schrödinger Operators with Uniformly Localized Eigenfunctions
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, September 26, 2013
    William Yessen
    On the OPUC-Ising Duality
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, October 3, 2013
    Darren Ong
    Uniformly Singular Continuous Spectrum for the Period Doubling Hamiltonian
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, October 10, 2013
    Paul Munger
    Hölder Continuity of the Density of States for a Class of Quasiperiodic Schrödinger Operators
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, October 31, 2013
    Milivoje Lukic
    On Higher-Order Szego Theorems With a Single Critical Point of Arbitrary Order
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, November 7, 2013
    Darren Ong
    CMV Operators Generated by the Period Doubling Subshift
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, November 14, 2013
    Jake Fillman
    Coulombic Perturbations of the Free CMV Matrix I: Zero-Dimensionality of the Singular Part
    12:10 - 12:55 p.m.  //  HBH 423  

  • Thursday, November 21, 2013
    Jake Fillman
    Coulombic Perturbations of the Free CMV Matrix II: Absence of Singular Continuous Spectrum
    12:10 - 12:55 p.m.  //  HBH 423  



Spring 2012

  • Wednesday, January 11, 2012
    William Yessen
    Spectral Analysis of Tridiagonal Fibonacci Hamiltonians: Recent Results, Open Problems and Conjectures
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, January 25, 2012
    Darren Ong
    Continuity of the Lyapunov Exponent for Quasiperiodic Operators with Analytic Potential
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 1, 2012
    Milivoje Lukic
    The Critical Almost Mathieu Operator
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 8, 2012
    Jake Fillman
    Dynamical Analysis of Schrödinger Operators with Growing Sparse Potentials
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 15, 2012
    Milivoje Lukic
    Duality and Singular Continuous Spectrum in the Almost Mathieu Equation
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, February 22, 2012
    Darren Ong
    U(1,1)
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 7, 2012
    Darren Ong
    Periodic Approximation of Quasiperiodic Schrödinger Cocycles with Analytic Potential
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, March 28, 2012
    Milivoje Lukic
    Bounds on Embedded Singular Spectrum for One-Dimensional Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, April 18, 2012
    Paul Munger
    The Fibonacci CMV Operator
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, April 23, 2012
    Helge Krüger
    The Skew-Shift Model
    2:00 - 4:00 p.m.  //  HBH 427  



Fall 2011

  • Wednesday, August 24, 2011
    Darren Ong
    Limit-Periodic Verblunsky Coefficients for OPUC
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 7, 2011
    Sergey Belov
    The Kunz-Souillard Approach to Localization
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, September 14, 2011
    Jake Fillman
    Spectrum and Generalized Eigenfunctions
    12:00 - 1:00 p.m.  //  HBH 427  

  • Friday, September 23, 2011
    Sergey Belov
    An Introduction to OPUC
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 5, 2011
    David Damanik
    The Discovery of Quasicrystals: Shechtman Wins Chemistry Nobel Prize
    12:00 - 1:00 p.m.  //  HBH 427  

  • Friday, October 7, 2011
    Darren Ong
    OPUC Potpourri I
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 12, 2011
    Darren Ong
    OPUC Potpourri II
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, October 26, 2011
    David Damanik
    Hassell's Proof of Quantum Non-Unique Ergodicity for the Bunimovich Stadium
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 2, 2011
    Milivoje Lukic
    Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 16, 2011
    Jake Fillman
    The Magic Formula
    12:00 - 1:00 p.m.  //  HBH 427  

  • Wednesday, November 30, 2011
    Paul Munger
    OPUC with Fibonacci Verblunsky Coefficients
    4:00 - 5:00 p.m.  //  HBH 227  

  • Wednesday, December 7, 2011
    Milivoje Lukic
    Kotani Theory
    12:00 - 1:00 p.m.  //  HBH 427  

  • Monday, December 12, 2011
    Anton Gorodetski
    Spectrum of the Fibonacci Hamiltonian as a Dynamically Defined Cantor Set
    10:00 - 11:00 a.m.  //  HBH 427  



Spring 2011

  • Monday, January 31, 2011
    Darren Ong
    Spectral Properties of Limit-Periodic Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 423  

  • Monday, February 7, 2011
    Darren Ong
    Spectral Properties of Limit-Periodic Schrödinger Operators II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, February 9, 2011
    Sergey Belov
    WKB Approximations of Regge Poles
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, February 16, 2011
    Zheng Gan
    Profinite Groups and Limit-Periodic Sequences
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, March 9, 2011
    Paul Munger
    Spectra of Quasiperiodic Schrödinger Operators
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, March 16, 2011
    Paul Munger
    Spectra of Quasiperiodic Schrödinger Operators II
    5:00 - 6:00 p.m.  //  HBH 423  

  • Wednesday, March 23, 2011
    Darren Ong
    Almost Periodic Functions
    5:00 - 6:00 p.m.  //  HBH 423  

  • Wednesday, March 30, 2011
    Darren Ong
    Almost Periodic Functions II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 6, 2011
    Zheng Gan
    Profinite Groups and Limit-Periodic Sequences II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 13, 2011
    Paul Munger
    Almost Periodic Functions III
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 20, 2011
    Darren Ong
    Jitomirskaya-Last for OPUC
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 27, 2011
    Darren Ong
    Jitomirskaya-Last for OPUC II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, May 4, 2011
    Paul Munger
    Estimating the Hausdorff Dimension of the Spectrum of a Quasiperiodic Schrödinger Operator
    1:00 - 2:00 p.m.  //  HBH 423  



Fall 2010

  • Wednesday, August 25, 2010
    Zheng Gan
    Brownian Motion, Heat Equation and Ito Integral
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, September 1, 2010
    Darren Ong
    Stochastic Verblunsky Coefficients
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, September 8, 2010
    Jon Chaika
    An Introduction to Non-Uniquely Ergodic Interval Exchange Transformations
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, September 15, 2010
    Robert Vance
    Periodic Points in Affine Interval Exchange Transformations
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, September 22, 2010
    Sergey Belov
    Orthogonal Polynomials and Riemann-Hilbert Problems
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, October 6, 2010
    Darren Ong
    Lyapunov Exponents in OPUC
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, October 13, 2010
    Darren Ong
    The Ruelle-Oseledets Theorem
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, October 27, 2010
    Darren Ong
    Kotani Theory
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, November 3, 2010
    Robert Vance
    Density of the Ergodic Measure for Rauzy-Veech Induction
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, November 10, 2010
    Sevak Mkrtchyan
    Limit Shapes of Random Young Diagrams With Respect to Schur-Weyl Measures
    5:00 - 6:00 p.m.  //  HBH 227  

  • Wednesday, November 17, 2010
    Darren Ong
    The Spectrum and Lyapunov Exponent of Limit-Periodic Schrödinger Operators
    5:00 - 6:00 p.m.  //  HBH 227  



Spring 2010

  • Wednesday, February 17, 2010
    Helge Krüger
    The Skew-Shift at Small Coupling
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, February 24, 2010
    Janine Dahl
    The Dimension of the Spectrum of the Off-Diagonal Fibonacci Hamiltonian II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, March 10, 2010
    Jon Fickenscher
    Every Rauzy Class Contains A Self-Inverse Permutation
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, March 24, 2010
    Zheng Gan
    Discontinuity of Lyapunov Exponents
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, March 31, 2010
    Darren Ong
    On Geronimus' Theorem
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 21, 2010
    Sergey Belov
    Parameter Dependence in Riemann-Hilbert Problems with Application to Semiclassical Focusing NLS
    12:00 - 1:00 p.m.  //  HBH 423  

  • Monday, April 26, 2010
    Darren Ong
    Multiplication by z in OPUC
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 28, 2010
    Helge Krüger
    The Combes-Thomas Estimate
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, April 30, 2010
    Helge Krüger
    Multi-Scale Analysis
    12:00 - 1:00 p.m.  //  HBH 423  



Fall 2009

  • Wednesday, September 2, 2009
    Helge Krüger
    Regularity = Vanishing of the Lyapunov Exponent on the Spectrum
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, September 9, 2009
    Jon Chaika
    Every Transformation is Disjoint From Almost Every IET
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, September 16, 2009
    Sergey Belov
    Long-Time Asymptotics of the Nonlinear Schrödinger Equation Shock Problem
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, September 23, 2009
    Zheng Gan
    Limit-Periodic Schrödinger Operators with Pure Point Spectrum
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, September 30, 2009
    Helge Krüger
    Semiclassical Results for Gaps in the Spectrum of the Almost Mathieu Operator
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, October 14, 2009
    Jon Fickenscher
    The Simplicity of the Lyapunov Spectrum for Rauzy Monoids
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, October 21, 2009
    Jon Fickenscher
    The Simplicity of the Lyapunov Spectrum for Rauzy Monoids II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, October 28, 2009
    Sergey Belov
    Determinant Form of the Complex Phase Function of the Steepest Descent Analysis of Riemann-Hilbert Problems and its Application to the Focusing Nonlinear Schrödinger Equation
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, November 11, 2009
    Zheng Gan
    Limit-Periodic Schrödinger Operators with Pure Point Spectrum II
    12:00 - 1:00 p.m.  //  HBH 423  



Spring 2009

  • Friday, January 23, 2009
    Helge Krüger
    On the Integrated Density of States
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, January 30, 2009
    Jon Chaika
    Borel-Cantelli Sequences and Shrinking Target Properties
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, February 20, 2009
    Janine Dahl
    Hyperbolic Dynamics
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, February 25, 2009
    Helge Krüger
    Dvir's Proof of Wolff's Finite Field Kakeya Conjecture
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, March 13, 2009
    Zheng Gan
    Spectrum of Limit Periodic Schrödinger Operators - Positive Lyapunov Exponents and Zero Hausdorff Dimension
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, March 27, 2009
    Helge Krüger
    Multiscale Analysis for Ergodic Schrödinger Operators and Positivity of Lyapunov Exponents for Potentials Given by High-Dimensional Skew-Shifts at Small Coupling
    12:00 - 1:00 p.m.  //  HBH 423  

  • Wednesday, April 1, 2009
    Zheng Gan
    Limit Periodic Schrödinger Operators in the Regime of Positive Lyapunov Exponents II
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, April 10, 2009
    Jon Fickenscher
    Weak Mixing for Interval Exchange Transformations and Translation Flows
    12:00 - 1:00 p.m.  //  HBH 423  

  • Friday, April 17, 2009
    Jon Chaika
    A Brief Introduction to Ergodic Theory
    12:00 - 1:00 p.m.  //  HBH 423  



Fall 2008

  • Wednesday, September 3, 2008
    Helge Krüger
    Approximating Discrete Schrödinger Operators by Finite Sections
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, September 10, 2008
    Jon Chaika
    An Introduction to Continued Fractions
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, September 17, 2008
    David Damanik
    The Survival Probability in Quantum Dynamics
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, October 1, 2008
    Helge Krüger
    An Introduction to Quasi-Periodic Localization
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, October 8, 2008
    Zheng Gan
    Quantum Dynamics and Decompositions of Singular Continuous Spectra
    12:30 - 1:30 p.m.  //  HBH 423  

  • Friday, October 17, 2008
    Sergey Belov
    Riemann-Hilbert Problems
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, October 22, 2008
    Sergey Belov
    Inverse Scattering for Cubic NLS Through RH Problems
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, November 5, 2008
    Jon Fickenscher
    A Question About Fundamental Regions For Fuchsian Groups
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, November 12, 2008
    David Damanik
    Coefficient Stripping and Sum Rules for Jacobi Matrices
    12:30 - 1:30 p.m.  //  HBH 423  

  • Wednesday, December 3, 2008
    Janine Dahl
    The Dimension of the Spectrum of the Off-Diagonal Fibonacci Hamiltonian
    12:30 - 1:30 p.m.  //  HBH 423