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del Río Castillo, Rafael René

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Author ID: del-rio-castillo.rafael-rene Recent zbMATH articles by "del Río Castillo, Rafael René"
Published as: del Rio, Rafael; del Río Castillo, Rafael René; Del Rio, Rafael; del Rio, R.; del Río, Rafael; Del Río Castillo, R.; Del Río, Rafael; Del Rio, R.

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 269 times in 200 Documents Cited by Year
Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization. Zbl 0908.47002
del Rio, Rafael; Jitomirskaya, S.; Last, Y.; Simon, Barry
101
1996
Operators with singular continuous spectrum. II: Rank one operators. Zbl 1055.47500
del Río Castillo, Rafael René; Makarov, Nikolai G.; Simon, Barry
39
1994
Inverse spectral analysis with partial information on the potential. III: Updating boundary conditions. Zbl 0898.34075
del Rio, Rafael; Gesztesy, Fritz; Simon, Barry
26
1997
Stability of spectral types for Sturm-Liouville operators. Zbl 0838.34090
del Río Castillo, Rafael René; Simon, Barry; Stolz, Günter
17
1994
Singular continuous spectrum is generic. Zbl 0803.47006
del Río Castillo, Rafael René; Jitomirskaya, Svetlana Ya.; Makarov, Nikolai G.; Simon, Barry
11
1994
Inverse spectral results for AKNS systems with partial information on the potentials. Zbl 0998.34010
del Rio, R.; Grébert, B.
8
2001
On boundary conditions of an inverse Sturm-Liouville problem. Zbl 0779.34013
del Río Castillo, Rafael René
8
1990
Inverse problems for Jacobi operators. I: Interior mass-spring perturbations in finite systems. Zbl 1259.47040
del Rio, Rafael; Kudryavtsev, Mikhail
8
2012
Corrections and addendum to “Inverse spectral analysis with partial information on the potential, III: Updating boundary conditions”. Zbl 0931.34060
del Rio, Rafael; Gesztesy, Fritz; Simon, Barry
4
1999
Inverse problems for Jacobi operators. III: Mass-spring perturbations of semi-infinite systems. Zbl 1264.47032
del Rio, Rafael; Kudryavtsev, Mikhail; Silva, Luis O.
4
2012
Coexistence of spectra in rank-one perturbation problems. Zbl 1059.47020
del Rio, R.; Fuentes, S.; Poltoratski, A.
4
2002
Inverse problems for Jacobi operators. IV: Interior mass-spring perturbations of semi-infinite systems. Zbl 1459.47014
del Rio, Rafael; Kudryavtsev, Mikhail; Silva, Luis O.
4
2017
Embedded eigenvalues of Sturm-Liouville operators. Zbl 0744.34029
del Río Castillo, Rafael René
3
1991
Sturm-Liouville operators in the half axis with local perturbations. Zbl 1126.34051
Del Rio, Rafael; Tchebotareva, Olga
3
2007
Rank one perturbations of Jacobi matrices with mixed spectra. Zbl 1101.47020
del Rio, R.; Kudryavtsev, M.; Silva, L.
3
2006
Inverse problems for Jacobi operators. II: Mass perturbations of semi-infinite mass-spring systems. Zbl 1305.47022
del Rio, R.; Kudryavtsev, M.; Silva, L. O.
2
2013
Ein Gegenbeispiel zur Stabilität des absolut stetigen Spektrums gewöhnlicher Differentialoperatoren. (A counterexample to the stability of the absolute continuous spectrum of differential operators). Zbl 0618.34022
del Río Castillo, Rafael René
2
1988
Families of spectral measures with mixed types. Zbl 1043.34090
del Rio, R.; Fuentes, S.; Poltoratski, A.
2
2002
Spectral theory of Schrödinger operators. Lecture notes from a workshop, Mexico, December 3–7, 2001. Zbl 1032.81001
2
2004
Point spectrum and mixed spectral types for rank one perturbations. Zbl 0888.47008
Del Rio, Rafael; Simon, Barry
2
1997
A forbidden set for embedded eigenvalues. Zbl 0805.34075
del Río Castillo, Rafael René
2
1994
Resonances under rank-one perturbations. Zbl 1372.81037
Bourget, Olivier; Cortés, Víctor H.; Del Río, Rafael; Fernández, Claudio
2
2017
Stability of determinacy and inverse spectral problems for Jacobi operators. Zbl 1470.41003
Del Rio, Rafael; Silva, Luis O.
2
2018
On conditions which guarantee stability of the absolutely continuous spectrum of ordinary differential operators. Zbl 0651.34017
del Río Castillo, Rafael René
2
1988
Instability of the absolutely continuous spectrum of ordinary differential operators under local perturbations. Zbl 0678.34026
del Río Castillo, Rafael René
2
1989
Spectral averaging techniques for Jacobi matrices. Zbl 1153.81347
del Rio, Rafael; Martinez, Carmen; Schulz-Baldes, Hermann
2
2008
Singular spectrum of Sturm-Liouville operators under local perturbations. Zbl 0737.34057
del Río Castillo, Rafael René
1
1991
Boundary conditions of Sturm-Liouville operators with mixed spectra. Zbl 1056.34099
del Rio, R.; Tchebotareva, Olga
1
2003
Spectral measures of Jacobi operators with random potentials. Zbl 1244.47027
del Rio, Rafael; Silva, Luis O.
1
2011
Sturm-Liouville operators in the half axis with shifted potentials. Zbl 1155.34044
del Rio, Rafael; Martinez, Carmen A.
1
2007
Stability of determinacy and inverse spectral problems for Jacobi operators. Zbl 1470.41003
Del Rio, Rafael; Silva, Luis O.
2
2018
Inverse problems for Jacobi operators. IV: Interior mass-spring perturbations of semi-infinite systems. Zbl 1459.47014
del Rio, Rafael; Kudryavtsev, Mikhail; Silva, Luis O.
4
2017
Resonances under rank-one perturbations. Zbl 1372.81037
Bourget, Olivier; Cortés, Víctor H.; Del Río, Rafael; Fernández, Claudio
2
2017
Inverse problems for Jacobi operators. II: Mass perturbations of semi-infinite mass-spring systems. Zbl 1305.47022
del Rio, R.; Kudryavtsev, M.; Silva, L. O.
2
2013
Inverse problems for Jacobi operators. I: Interior mass-spring perturbations in finite systems. Zbl 1259.47040
del Rio, Rafael; Kudryavtsev, Mikhail
8
2012
Inverse problems for Jacobi operators. III: Mass-spring perturbations of semi-infinite systems. Zbl 1264.47032
del Rio, Rafael; Kudryavtsev, Mikhail; Silva, Luis O.
4
2012
Spectral measures of Jacobi operators with random potentials. Zbl 1244.47027
del Rio, Rafael; Silva, Luis O.
1
2011
Spectral averaging techniques for Jacobi matrices. Zbl 1153.81347
del Rio, Rafael; Martinez, Carmen; Schulz-Baldes, Hermann
2
2008
Sturm-Liouville operators in the half axis with local perturbations. Zbl 1126.34051
Del Rio, Rafael; Tchebotareva, Olga
3
2007
Sturm-Liouville operators in the half axis with shifted potentials. Zbl 1155.34044
del Rio, Rafael; Martinez, Carmen A.
1
2007
Rank one perturbations of Jacobi matrices with mixed spectra. Zbl 1101.47020
del Rio, R.; Kudryavtsev, M.; Silva, L.
3
2006
Spectral theory of Schrödinger operators. Lecture notes from a workshop, Mexico, December 3–7, 2001. Zbl 1032.81001
2
2004
Boundary conditions of Sturm-Liouville operators with mixed spectra. Zbl 1056.34099
del Rio, R.; Tchebotareva, Olga
1
2003
Coexistence of spectra in rank-one perturbation problems. Zbl 1059.47020
del Rio, R.; Fuentes, S.; Poltoratski, A.
4
2002
Families of spectral measures with mixed types. Zbl 1043.34090
del Rio, R.; Fuentes, S.; Poltoratski, A.
2
2002
Inverse spectral results for AKNS systems with partial information on the potentials. Zbl 0998.34010
del Rio, R.; Grébert, B.
8
2001
Corrections and addendum to “Inverse spectral analysis with partial information on the potential, III: Updating boundary conditions”. Zbl 0931.34060
del Rio, Rafael; Gesztesy, Fritz; Simon, Barry
4
1999
Inverse spectral analysis with partial information on the potential. III: Updating boundary conditions. Zbl 0898.34075
del Rio, Rafael; Gesztesy, Fritz; Simon, Barry
26
1997
Point spectrum and mixed spectral types for rank one perturbations. Zbl 0888.47008
Del Rio, Rafael; Simon, Barry
2
1997
Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization. Zbl 0908.47002
del Rio, Rafael; Jitomirskaya, S.; Last, Y.; Simon, Barry
101
1996
Operators with singular continuous spectrum. II: Rank one operators. Zbl 1055.47500
del Río Castillo, Rafael René; Makarov, Nikolai G.; Simon, Barry
39
1994
Stability of spectral types for Sturm-Liouville operators. Zbl 0838.34090
del Río Castillo, Rafael René; Simon, Barry; Stolz, Günter
17
1994
Singular continuous spectrum is generic. Zbl 0803.47006
del Río Castillo, Rafael René; Jitomirskaya, Svetlana Ya.; Makarov, Nikolai G.; Simon, Barry
11
1994
A forbidden set for embedded eigenvalues. Zbl 0805.34075
del Río Castillo, Rafael René
2
1994
Embedded eigenvalues of Sturm-Liouville operators. Zbl 0744.34029
del Río Castillo, Rafael René
3
1991
Singular spectrum of Sturm-Liouville operators under local perturbations. Zbl 0737.34057
del Río Castillo, Rafael René
1
1991
On boundary conditions of an inverse Sturm-Liouville problem. Zbl 0779.34013
del Río Castillo, Rafael René
8
1990
Instability of the absolutely continuous spectrum of ordinary differential operators under local perturbations. Zbl 0678.34026
del Río Castillo, Rafael René
2
1989
Ein Gegenbeispiel zur Stabilität des absolut stetigen Spektrums gewöhnlicher Differentialoperatoren. (A counterexample to the stability of the absolute continuous spectrum of differential operators). Zbl 0618.34022
del Río Castillo, Rafael René
2
1988
On conditions which guarantee stability of the absolutely continuous spectrum of ordinary differential operators. Zbl 0651.34017
del Río Castillo, Rafael René
2
1988
all top 5

Cited by 200 Authors

18 del Río Castillo, Rafael René
15 de Oliveira, César R.
14 Simon, Barry
13 Jitomirskaya, Svetlana Yakovlevna
9 Damanik, David
9 Last, Yoram
8 Carvalho, Silas L.
8 Wei, Guangsheng
7 Germinet, François
7 Tcheremchantsev, Serguei
6 Gesztesy, Fritz
6 Klein, Abel
6 Yang, Chuanfu
5 Elgart, Alexander
5 Kiselev, Alexander A.
5 Silva, Luis O.
5 Stolz, Gunter
5 Wang, Yuping
4 Barbaroux, Jean-Marie
4 Remling, Christian
4 Schenker, Jeffrey H.
4 Taarabt, Amal
4 Wei, Zhaoying
4 Wreszinski, Walter F.
3 Combes, Jean-Michel
3 Han, Rui
3 Hatinoğlu, Burak
3 Marchetti, Domingos H. U.
3 Prado, Roberto A.
3 Schulz-Baldes, Hermann
3 Tchebotareva, Olga
3 Wu, Xuewen
3 Zhang, Shiwen
2 Aizenman, Michael
2 Albeverio, Sergio A.
2 Aloisio, Moacir
2 Bourget, Olivier
2 Brasche, Johannes Friedemann
2 Breuer, Jonathan
2 Bucaj, Valmir
2 Chulaevsky, Victor
2 Fillman, Jake
2 Gordon, Alexander Ya.
2 Hundertmark, Dirk
2 Kudryavtsev, Mikhail
2 Liu, Wencai
2 Makarov, Konstantin A.
2 Makarov, Nikolai Georgievich
2 Mantlik, Frank
2 Martinez, Carmen A.
2 Moreno Flores, Gregorio R.
2 Neidhardt, Hagen
2 Niu, Pengcheng
2 Pigossi, Mariane
2 Poltoratski, Alexei G.
2 Shi, Guoliang
2 Shieh, Chung-Tsun
2 Simsen, Mariza Stefanello
2 Stockmeyer, Edgardo
2 Warzel, Simone
2 Xu, Xiaochuan
2 Yan, Jun
2 Yang, Fan
2 Zinchenko, Maxim
1 Adalar, Ibrahim
1 Amour, Laurent
1 Azamov, Nurulla A.
1 Bai, Yu
1 Bandeira, Luís
1 Baranov, Anton D.
1 Bazao, Vanderléa R.
1 Bellissard, Jean V.
1 Bentosela, François
1 Boiko, Tetiana
1 Bondarenko, Natalia P.
1 Bourgain, Jean
1 Briet, Philippe
1 Brun, Michele
1 Buterin, Sergey Alexandrovich
1 Cai, Ao
1 Cárdenas, Esteban
1 Carey, Alan L.
1 Carta, Giorgio
1 Carvalho, Túlio O.
1 Cheng, Yan-Hsiou
1 Christ, Michael
1 Correia Ramos, Carlos
1 de Snoo, Hendrik S. V.
1 Eakins, Jerik
1 Eisner, Tanja
1 Exner, George R.
1 Fishman, Shmuel
1 Frendreiss, William
1 Friedrich, Roland M.
1 Gan, Zheng
1 Ge, Lingrui
1 Gerbuz, Vitaly
1 Gorodetskii, Anton Semenovich
1 Graf, Gian Michele
1 Guarneri, Italo
...and 100 more Authors
all top 5

Cited in 76 Serials

15 Journal of Mathematical Analysis and Applications
14 Communications in Mathematical Physics
11 Journal of Mathematical Physics
11 Journal of Functional Analysis
10 Proceedings of the American Mathematical Society
8 Journal of Statistical Physics
7 Letters in Mathematical Physics
7 Duke Mathematical Journal
6 Transactions of the American Mathematical Society
6 Annales Henri Poincaré
5 Journal d’Analyse Mathématique
5 Results in Mathematics
4 Reviews in Mathematical Physics
4 Journal of Differential Equations
4 Mathematische Nachrichten
4 Mathematical Physics, Analysis and Geometry
3 Mathematische Zeitschrift
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Journal of Spectral Theory
2 Applicable Analysis
2 Reports on Mathematical Physics
2 Arkiv för Matematik
2 Integral Equations and Operator Theory
2 Applied Mathematics Letters
2 Journal of the European Mathematical Society (JEMS)
2 Physical Review Letters
2 Boundary Value Problems
2 Inverse Problems in Science and Engineering
2 Operators and Matrices
2 Bulletin of Mathematical Sciences
1 International Journal of Engineering Science
1 Inverse Problems
1 Israel Journal of Mathematics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Acta Mathematica
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Dissertationes Mathematicae
1 Functional Analysis and its Applications
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Ergodic Theory and Dynamical Systems
1 Zeitschrift für Analysis und ihre Anwendungen
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
1 Sugaku Expositions
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 St. Petersburg Mathematical Journal
1 Turkish Journal of Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Journal of Difference Equations and Applications
1 Mathematical Problems in Engineering
1 Abstract and Applied Analysis
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Applied Mathematics E-Notes
1 Mathematics in Computer Science
1 Complex Analysis and Operator Theory
1 Advances in High Energy Physics
1 Analysis & PDE
1 Advances in Mathematical Physics
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Concrete Operators

Citations by Year