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Subject : schrodinger operator

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Academic Journal

Limit theorems on the mesoscopic scale for the Anderson model.

Authors : Grinshpon, Yoel

Subjects: ANDERSON model; LIMIT theorems; MODELS & modelmaking

Source: Journal of Spectral Theory; 2023, Vol. 13 Issue 1, p133-151, 19p

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Academic Journal

Lifshitz Tails for the Fractional Anderson Model.

Authors : Gebert, Martin¹ (AUTHOR) ; Rojas-Molina, Constanza² (AUTHOR)

Subjects: *ANDERSON model; *TAILS; *RANDOM variables

Source: Journal of Statistical Physics. Apr2020, Vol. 179 Issue 2, p341-353. 13p.

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Academic Journal

Spectral and Dynamical Contrast on Highly Correlated Anderson-Type Models.

Authors : Matos, Rodrigo¹ (AUTHOR); Mavi, Rajinder² (AUTHOR); Schenker, Jeffrey² (AUTHOR)

Subjects: *RANDOM operators; *ANDERSON model; *PHASE transitions

Source: Annales Henri Poincaré. Feb2024, Vol. 25 Issue 2, p1445-1483. 39p.

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Academic Journal

Must the Spectrum of a Random Schrödinger Operator Contain an Interval?

Authors : Damanik, David (AUTHOR); Gorodetski, Anton (AUTHOR)

Subjects: SCHRODINGER operator; RANDOM operators; ANDERSON model

Source: Communications in Mathematical Physics. Aug2022, Vol. 393 Issue 3, p1583-1613. 31p.

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Academic Journal

Local eigenvalue statistics for higher-rank Anderson models after Dietlein–Elgart.

Authors : Herschenfeld, Samuel¹ (AUTHOR) ; Hislop, Peter D.¹ (AUTHOR)

Subjects: *ANDERSON model; *RANDOM operators; *EIGENVALUES

Source: Reviews in Mathematical Physics. Sep2023, Vol. 35 Issue 8, p1-36. 36p.

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Academic Journal

The Spectrum of Schrödinger Operators with Randomly Perturbed Ergodic Potentials.

Authors : Avila, Artur^1,2 (AUTHOR); Damanik, David³ (AUTHOR) ; Gorodetski, Anton⁴ (AUTHOR)

Subjects: *SCHRODINGER operator; *ANDERSON model; *METRIC spaces

Source: Geometric & Functional Analysis. Apr2023, Vol. 33 Issue 2, p364-375. 12p.

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Academic Journal

Wegner estimate and localisation for alloy-type operators with minimal support assumptions on the single site potential.

Authors : Täufer, Matthias; Veselić, Ivan

Subjects: HEISENBERG uncertainty principle; CHARACTERISTIC functions; SET functions

Source: Random Operators & Stochastic Equations; Jun2024, Vol. 32 Issue 2, p175-184, 10p

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Academic Journal

Eigensystem Multiscale Analysis for the Anderson Model via the Wegner Estimate.

Authors : Elgart, Alexander; Klein, Abel

Subjects: ANDERSON model; HOLDER spaces; SCHRODINGER operator

Source: Annales Henri Poincaré; Jul2020, Vol. 21 Issue 7, p2301-2326, 26p

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Academic Journal

A "lifting" method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models.

Authors : Hurtado, Omar¹ (AUTHOR)

Subjects: *ANDERSON model; *LARGE deviations (Mathematics); *RANDOM operators

Source: Journal of Mathematical Physics. Jun2023, Vol. 64 Issue 6, p1-19. 19p.

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Academic Journal

The Repulsion Between Localization Centers in the Anderson Model.

Authors : Nakano, Fumihiko¹

Subjects: *ANDERSON model; *LOCALIZATION theory; *SCHRODINGER operator

Source: Journal of Statistical Physics. May2006, Vol. 123 Issue 4, p803-810. 8p.

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