Upper bounds on quantum dynamics in arbitrary dimension (Q6108673)

scientific article; zbMATH DE number 7704836

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English	Upper bounds on quantum dynamics in arbitrary dimension	scientific article; zbMATH DE number 7704836

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instance of

scholarly article

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title

Upper bounds on quantum dynamics in arbitrary dimension (English)

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Journal of Functional Analysis

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publication date

30 June 2023

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full work available at URL

https://arxiv.org/abs/2111.10902

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zbMATH Keywords

quantum dynamics

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upper bounds

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almost periodic operators

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MaRDI profile type

MaRDI publication profile

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cites work

LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS

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Localization at large disorder and at extreme energies: an elementary derivation

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Q3463656

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Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)

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Positivity and continuity of the Lyapunov exponent for shifts on \(\mathbb T^d\) with arbitrary frequency vector and real analytic potential

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Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary

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On nonperturbative localization with quasi-periodic potential.

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Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential

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Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift

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Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential

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Anderson localization for two interacting quasiperiodic particles

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Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications

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Upper bounds in quantum dynamics

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Quantum dynamics via complex analysis methods: general upper bounds without time-averaging and tight lower bounds for the strongly coupled Fibonacci Hamiltonian

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Absence of diffusion in the Anderson tight binding model for large disorder or low energy

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A pure point spectrum of the stochastic one-dimensional Schrödinger operator

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Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions

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Quantum dynamical bounds for ergodic potentials with underlying dynamics of zero topological entropy

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Power law subordinacy and singular spectra. II: Line operators.

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Upper bounds on transport exponents for long-range operators

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Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\)

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Dynamical Bounds for Quasiperiodic Schrödinger Operators with Rough Potentials

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Logarithmic Quantum Dynamical Bounds for Arithmetically Defined Ergodic Schrödinger Operators with Smooth Potentials

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Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function

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Localization for quasiperiodic Schrödinger operators with multivariable Gevrey potential functions

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Quantum dynamics and decompositions of singular continuous spectra

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Fine dimensional properties of spectral measures

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Quantitative inductive estimates for Green's functions of non-self-adjoint matrices

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Power law logarithmic bounds of moments for long range operators in arbitrary dimension

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Reflectionless Herglotz functions and Jacobi matrices

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An introduction to multiscale techniques in the theory of Anderson localization. I

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Equilibrium measures and capacities in spectral theory

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Identifiers

zbMATH Open document ID

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10.1016/j.jfa.2023.110034

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6108673