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