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

Michael Aizenman; Robert Sims; Simone Warzel

doi:10.1007/s00440-005-0486-8

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

Probability Theory and Related Fields ◽

10.1007/s00440-005-0486-8 ◽

2005 ◽

Vol 136 (3) ◽

pp. 363-394 ◽

Cited By ~ 48

Author(s):

Michael Aizenman ◽

Robert Sims ◽

Simone Warzel

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Tree Graphs

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Absolutely Continuous Spectrum for Random Schrödinger Operators on Tree-Strips of Finite Cone Type

Annales Henri Poincaré ◽

10.1007/s00023-012-0203-y ◽

2012 ◽

Vol 14 (4) ◽

pp. 737-773 ◽

Cited By ~ 4

Author(s):

Christian Sadel

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Cone Type

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Absolutely continuous spectrum in random Schrödinger operators

Proceedings of Symposia in Pure Mathematics - Quantization, Nonlinear Partial Differential Equations, and Operator Algebra ◽

10.1090/pspum/059/1392987 ◽

1996 ◽

pp. 139-147 ◽

Cited By ~ 5

Author(s):

Abel Klein

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous

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Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-strips

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-014-9163-4 ◽

2014 ◽

Vol 17 (3-4) ◽

pp. 409-440 ◽

Cited By ~ 4

Author(s):

Christian Sadel

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous

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Absolutely continuous spectrum of one-dimensional random Schrödinger operators and hamiltonian systems

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0078474 ◽

1988 ◽

pp. 195-205

Author(s):

S. Kotani

Keyword(s):

Continuous Spectrum ◽

Hamiltonian Systems ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

One Dimensional

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Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip

Mathematische Nachrichten ◽

10.1002/mana.201100019 ◽

2011 ◽

Vol 285 (1) ◽

pp. 5-26 ◽

Cited By ~ 13

Author(s):

Abel Klein ◽

Christian Sadel

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Random Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous

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The Absolutely Continuous Spectrum of One-dimensional Schrödinger Operators

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-008-9036-9 ◽

2007 ◽

Vol 10 (4) ◽

pp. 359-373 ◽

Cited By ~ 17

Author(s):

Christian Remling

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

One Dimensional

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A Geometric Approach to Absolutely Continuous Spectrum for Discrete Schrödinger Operators

Random Walks, Boundaries and Spectra ◽

10.1007/978-3-0346-0244-0_11 ◽

2011 ◽

pp. 201-226 ◽

Cited By ~ 2

Author(s):

Richard Froese ◽

David Hasler ◽

Wolfgang Spitzer

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Geometric Approach ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Discrete Schrödinger Operators

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Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials

Mathematische Nachrichten ◽

10.1002/mana.200810754 ◽

2009 ◽

Vol 282 (4) ◽

pp. 552-568 ◽

Cited By ~ 2

Author(s):

Ahyoung Kim ◽

Alexander Kiselev

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

Discrete Schrödinger Operators

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On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-05-03961-9 ◽

2005 ◽

Vol 357 (11) ◽

pp. 4481-4516 ◽

Cited By ~ 7

Author(s):

Alexander Fedotov ◽

Frédéric Klopp

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Adiabatic Limit ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous ◽

One Dimensional

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Absolutely continuous spectrum of Schrödinger operators with potentials slowly decaying inside a cone

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.01.093 ◽

2007 ◽

Vol 326 (1) ◽

pp. 192-208 ◽

Cited By ~ 5

Author(s):

Oleg Safronov ◽

Gunter Stolz

Keyword(s):

Continuous Spectrum ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Absolutely Continuous Spectrum ◽

Absolutely Continuous

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