##### KMap

#### VOSviewer

##### Courses

- IMPIntroduction to Mathematical Physics
- IODEIntroduction to Ordinary Differential Equations
- RAOVReal Analysis of One Variable
- CAComplex Analysis
- RAReal Analysis
- CIICalculus II
- AODEAnalysis of Ordinary Differential Equations
- BHSBanach and Hilbert Spaces
- LALinear Algebra
- TPTheory of Probability

##### Grants

- Arizona School of Analysis and Mathematical Physics
Principal Investigator (PI)

2018

###### $39.9K

- Many-Body Quantum Systems: Dynamics and Ground States
Principal Investigator (PI)

2014

###### $76.8K

- Arizona school of analysis and mathematical physics
Principal Investigator (PI)

2012

###### $45.6K

- On Locality and Randomness in Non-Relativistic Systems
Principal Investigator (PI)

2011

###### $156.2K

- Arizona School of Analysis with Applications
Principal Investigator (PI)

2010

###### $38.5K

- FRG: Collaborative Research: Quantum Spin Systems. Theory and Applications in Quantum Computation
Principal Investigator (PI)

2008

###### $257.4K

##### Books

- Analytic Trends in Mathematical Physics
2020

- Entropy and the Quantum II
2011

- Entropy and the Quantum
2010

##### Publications (67)

Recent

- A requirement for astrocyte IP3R2 signaling for whisker experience-dependent depression and homeostatic upregulation in the mouse barrel cortex
2022

- Analytic Trends in Mathematical Physics
2020

- Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States
2020

- Lieb ndash;Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in $${\mathbb {R}}^d$$
2020

- On the Regime of Localized Excitations for Disordered Oscillator Systems
2020

- Lieb–Robinson Bounds and Strongly Continuous Dynamics for a Class of Many-Body Fermion Systems in
2020

- MnΦ
2019

- Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in $\mathbb{R}^d$
2019

- Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
2019

- Lieb–Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
2018

- Correction to: Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices
2018

- Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms
2018

- Localization properties of the disordered XY spin chain: A review of mathematical results with an eye toward many‐body localization
2017

- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
2017

- Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches
2017

- Localization Properties of the Disordered XY Spin Chain
2017

- Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization
2016

- Entanglement dynamics of disordered quantum XY chains
2015

- Decay of Determinantal and Pfaffian Correlation Functionals in One-dimensional Lattices
2015

- On the dynamics of lattice systems with unbounded on-site terms in the Hamiltonian
2014

- Many-body localization: concepts and simple models
2013

- An area law for the bipartite entanglement of disordered oscillator systems
2013

- Quantum Harmonic Oscillator Systems with Disorder
2012

- Lieb-Robinson Bounds for the Toda Lattice
2012

- MR2969627 82Bxx
2012

- Dispersive Estimates for Harmonic Oscillator Systems
2011

- Entropy and the quantum II: Arizona School of Analysis with Applications, March 15–19, 2010, University of Arizona
2011

- Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems
2011

- Dynamical Localization in Disordered Quantum Spin Systems
2011

- Entropy and the Quantum: Arizona School of Analysis with Applications, March 16-20, 2009, University of Arizona
2010

- Lieb-Robinson Bounds and Quasi-locality for the Dynamics of Many-Body Quantum Systems
2010

- Lieb-Robinson bounds in quantum many-body physics
2010

- Much Ado About Something: Why Lieb-Robinson bounds are useful
2010

- Contemporary mathematics
2010

- A note on fractional moments for the one-dimensional continuum Anderson model
2009

- On the Existence of the Dynamics for Anharmonic Quantum Oscillator Systems
2009

- Approximating the ground state of gapped quantum spin systems
2009

- Lieb-Robinson bounds for classical anharmonic lattice systems
2009

- Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems
2009

- Isolated eigenvalues of the ferromagnetic spin-JXXZ chain with kink boundary conditions
2008

- Locality Estimates for Quantum Spin Systems
2007

- Isolated Eigenvalues of the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions
2007

- Reflectionless Sturm–Liouville equations
2007

- Mean-field spin glass models from the cavity-ROSt perspective.
2007

- Lieb-Robinson bounds for harmonic and anharmonic lattice systems
2007

- On the Absolutely Continuous Spectrum of Sturm-Liouville Operators with Applications to Radial Quantum Trees
2007

- Fluctuation-based proof of the stability of ac spectra of
2006

- Reflectionless Sturm-Liouville Equations
2006

- A Multi-Dimensional Lieb-Schultz-Mattis Theorem
2006

- Mean-Field Spin Glass models from the Cavity--ROSt Perspective
2006

- Stability of the Absolutely Continuous Spectrum of Random Schrödinger Operators on Tree Graphs
2006

- Propagation of Correlations in Quantum Lattice Systems
2006

- Absolutely continuous spectra of quantum tree graphs with weak disorder
2006

- Absence of reflection as a function of the coupling constant
2006

- Fluctuation based proof of the stability of ac spectra of random operators on tree graphs
2005

- Lieb-Robinson Bounds and the Exponential Clustering Theorem
2005

- Recent Progress in Quantum Spin Systems
2005

- Localization for discrete one-dimensional random word models
2004

- Extended variational principle for the Sherrington-Kirkpatrick spin-glass model
2003

- Content-Disposition: attachment; filename=" 03-283. keywords" Spin glass, SK model, replica symmetry breaking, ultrametricity, variational bounds, GREM, Sherrington Kirkpatrick …
2003

- Localization for one-dimensional, continuum, Bernoulli-Anderson models
2002

- Lyapunov exponents in continuum Bernoulli-Anderson models
2002

- LOCALIZATION FOR ONE DIMENSIONAL, CONTINUUM, BERNOULLI-ANDERSON MODELS
2002

- Localization for one-dimensional models of disordered media
2001

- Localization in One Dimensional Random Media:¶A Scattering Theoretic Approach
2000

- Localization in one dimensional random media: A scattering theoretic approach
2000

- Modeling and optimization issues concerning a circular piezoelectric actuator design
1999

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