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Author ID: knauf.andreas Recent zbMATH articles by "Knauf, Andreas"
Published as: Knauf, Andreas; Knauf, A.
Homepage: http://www.min.math.fau.de/staff/knauf-andreas/prof-dr-andreas-knauf/
External Links: MGP · dblp
Documents Indexed: 58 Publications since 1987, including 5 Books
Co-Authors: 34 Co-Authors with 36 Joint Publications
1,098 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 298 times in 197 Documents Cited by Year
Motion in periodic potentials. Zbl 0896.34027
Asch, Joachim; Knauf, Andreas
24
1998
Ergodic and topological properties of coulombic periodic potentials. Zbl 0616.58044
Knauf, Andreas
23
1987
Classical planar scattering by Coulombic potentials. Zbl 0783.70001
Klein, Markus; Knauf, Andreas
19
1992
The \(n\)-centre problem of celestial mechanics for large energies. Zbl 1010.70011
Knauf, Andreas
17
2002
The Hannay angles: Geometry, adiabaticity, and an example. Zbl 0825.58012
Golin, Simon; Knauf, Andreas; Marmi, Stefano
15
1989
Closed orbits and converse KAM theory. Zbl 0702.70013
Knauf, Andreas
14
1990
Maximizing multi-information. Zbl 1249.82011
Ay, Nihat; Knauf, Andreas
13
2006
On a ferromagnetic spin chain. Zbl 0776.11047
Knauf, Andreas
12
1993
On the integrability of the \(n\)-centre problem. Zbl 1136.37033
Knauf, Andreas; Taimanov, Iskander A.
10
2005
On soft billiard systems. Zbl 0697.58034
Knauf, A.
10
1989
Entropy distance: new quantum phenomena. Zbl 1278.81046
Weis, Stephan; Knauf, Andreas
10
2012
The number-theoretical spin chain and the Riemann zeroes. Zbl 0926.11059
Knauf, Andreas
9
1998
The phase transition of the number-theoretical spin chain. Zbl 0896.11033
Contucci, Pierluigi; Knauf, Andreas
9
1997
Phases of the number-theoretic spin chain. Zbl 1102.82307
Knauf, Andreas
7
1993
Qualitative aspects of classical potential scattering. Zbl 0982.81054
Knauf, A.
7
1999
Quantum chaos and dynamical entropy. Zbl 0927.37008
Benatti, Fabio; Hudetz, Thomas; Knauf, Andreas
7
1998
Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities. Zbl 1162.81019
Castella, François; Jecko, Thierry; Knauf, Andreas
6
2008
Lagrangian relations and linear point billiards. Zbl 1375.37114
Féjoz, Jacques; Knauf, Andreas; Montgomery, Richard
6
2017
On a ferromagnetic spin chain. II: Thermodynamic limit. Zbl 0811.11081
Knauf, Andreas
5
1994
Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054
Gérard, C.; Knauf, A.
5
1991
On the absence of a first order correction for the number of bound states of a Schrödinger operator with Coulomb singularity. Zbl 0756.35061
Helffer, Bernard; Knauf, Andreas; Siedentop, Heinz; Weikard, Rudi
5
1992
Generalized Farey trees, transfer operators and phase transitions. Zbl 1131.37040
Degli Esposti, Mirko; Isola, Stefano; Knauf, Andreas
5
2007
Free energy and correlations of the number-theoretical spin chain. Zbl 0999.82007
Guerra, Francesco; Knauf, Andreas
5
1998
Quantum transport on KAM tori. Zbl 0936.47046
Asch, Joachim; Knauf, Andreas
5
1999
Number theory, dynamical systems and statistical mechanics. Zbl 0956.11019
Knauf, Andreas
5
1999
Maximizing the divergence from a hierarchical model of quantum states. Zbl 1312.81040
Weis, Stephan; Knauf, Andreas; Ay, Nihat; Zhao, Ming-Jing
5
2015
The non-trapping degree of scattering. Zbl 1228.70008
Knauf, Andreas; Krapf, Markus
4
2008
On the form factor for the unitary group. Zbl 1064.81036
Degli Esposti, Mirko; Knauf, Andreas
4
2004
A fully magnetizing phase transition. Zbl 0958.82016
Contucci, Pierluigi; Kleban, Peter; Knauf, Andreas
4
1999
Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050
Knauf, Andreas; Sinai, Yakov G.
4
1997
Chaotic motion in Coulombic potentials. Zbl 0947.37506
Klein, Markus; Knauf, Andreas
3
1992
The low activity phase of some Dirichlet series. Zbl 0865.11061
Contucci, Pierluigi; Knauf, Andreas
3
1996
The integrability of the \(n\)-center problem at high energies. Zbl 1378.70019
Knauf, A.; Taĭmanov, I. A.
3
2004
Mathematical physics: classical mechanics. Translated from the 2nd German edition by Jochen Denzler. Zbl 1446.70001
Knauf, Andreas
3
2018
Improbability of collisions in \(n\)-body systems. Zbl 1448.70029
Fleischer, Stefan; Knauf, Andreas
3
2019
Stochastically stable quenched measures. Zbl 1102.82013
Bianchi, Alessandra; Contucci, Pierluigi; Knauf, Andreas
2
2004
Improbability of wandering orbits passing through a sequence of Poincaré surfaces of decreasing size. Zbl 1459.37018
Fleischer, Stefan; Knauf, Andreas
2
2019
Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114
Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich
2
2013
Hannay angles: Existence and geometrical interpretation. Zbl 0744.70021
Golin, Simon; Knauf, Andreas; Marmi, Stefano
1
1989
Resonances in the two-center Coulomb systems. Zbl 1360.81337
Seri, Marcello; Knauf, Andreas; Esposti, Mirko Degli; Jecko, Thierry
1
2016
Mathematical physics: classical mechanics. 2nd revised and enlarged edition. (Mathematische Physik: Klassische Mechanik.) Zbl 1390.70001
Knauf, Andreas
1
2017
Improbability of collisions in \(n\)-body systems. Zbl 1448.70029
Fleischer, Stefan; Knauf, Andreas
3
2019
Improbability of wandering orbits passing through a sequence of Poincaré surfaces of decreasing size. Zbl 1459.37018
Fleischer, Stefan; Knauf, Andreas
2
2019
Mathematical physics: classical mechanics. Translated from the 2nd German edition by Jochen Denzler. Zbl 1446.70001
Knauf, Andreas
3
2018
Lagrangian relations and linear point billiards. Zbl 1375.37114
Féjoz, Jacques; Knauf, Andreas; Montgomery, Richard
6
2017
Mathematical physics: classical mechanics. 2nd revised and enlarged edition. (Mathematische Physik: Klassische Mechanik.) Zbl 1390.70001
Knauf, Andreas
1
2017
Resonances in the two-center Coulomb systems. Zbl 1360.81337
Seri, Marcello; Knauf, Andreas; Esposti, Mirko Degli; Jecko, Thierry
1
2016
Maximizing the divergence from a hierarchical model of quantum states. Zbl 1312.81040
Weis, Stephan; Knauf, Andreas; Ay, Nihat; Zhao, Ming-Jing
5
2015
Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114
Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich
2
2013
Entropy distance: new quantum phenomena. Zbl 1278.81046
Weis, Stephan; Knauf, Andreas
10
2012
Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities. Zbl 1162.81019
Castella, François; Jecko, Thierry; Knauf, Andreas
6
2008
The non-trapping degree of scattering. Zbl 1228.70008
Knauf, Andreas; Krapf, Markus
4
2008
Generalized Farey trees, transfer operators and phase transitions. Zbl 1131.37040
Degli Esposti, Mirko; Isola, Stefano; Knauf, Andreas
5
2007
Maximizing multi-information. Zbl 1249.82011
Ay, Nihat; Knauf, Andreas
13
2006
On the integrability of the \(n\)-centre problem. Zbl 1136.37033
Knauf, Andreas; Taimanov, Iskander A.
10
2005
On the form factor for the unitary group. Zbl 1064.81036
Degli Esposti, Mirko; Knauf, Andreas
4
2004
The integrability of the \(n\)-center problem at high energies. Zbl 1378.70019
Knauf, A.; Taĭmanov, I. A.
3
2004
Stochastically stable quenched measures. Zbl 1102.82013
Bianchi, Alessandra; Contucci, Pierluigi; Knauf, Andreas
2
2004
The \(n\)-centre problem of celestial mechanics for large energies. Zbl 1010.70011
Knauf, Andreas
17
2002
Qualitative aspects of classical potential scattering. Zbl 0982.81054
Knauf, A.
7
1999
Quantum transport on KAM tori. Zbl 0936.47046
Asch, Joachim; Knauf, Andreas
5
1999
Number theory, dynamical systems and statistical mechanics. Zbl 0956.11019
Knauf, Andreas
5
1999
A fully magnetizing phase transition. Zbl 0958.82016
Contucci, Pierluigi; Kleban, Peter; Knauf, Andreas
4
1999
Motion in periodic potentials. Zbl 0896.34027
Asch, Joachim; Knauf, Andreas
24
1998
The number-theoretical spin chain and the Riemann zeroes. Zbl 0926.11059
Knauf, Andreas
9
1998
Quantum chaos and dynamical entropy. Zbl 0927.37008
Benatti, Fabio; Hudetz, Thomas; Knauf, Andreas
7
1998
Free energy and correlations of the number-theoretical spin chain. Zbl 0999.82007
Guerra, Francesco; Knauf, Andreas
5
1998
The phase transition of the number-theoretical spin chain. Zbl 0896.11033
Contucci, Pierluigi; Knauf, Andreas
9
1997
Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050
Knauf, Andreas; Sinai, Yakov G.
4
1997
The low activity phase of some Dirichlet series. Zbl 0865.11061
Contucci, Pierluigi; Knauf, Andreas
3
1996
On a ferromagnetic spin chain. II: Thermodynamic limit. Zbl 0811.11081
Knauf, Andreas
5
1994
On a ferromagnetic spin chain. Zbl 0776.11047
Knauf, Andreas
12
1993
Phases of the number-theoretic spin chain. Zbl 1102.82307
Knauf, Andreas
7
1993
Classical planar scattering by Coulombic potentials. Zbl 0783.70001
Klein, Markus; Knauf, Andreas
19
1992
On the absence of a first order correction for the number of bound states of a Schrödinger operator with Coulomb singularity. Zbl 0756.35061
Helffer, Bernard; Knauf, Andreas; Siedentop, Heinz; Weikard, Rudi
5
1992
Chaotic motion in Coulombic potentials. Zbl 0947.37506
Klein, Markus; Knauf, Andreas
3
1992
Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054
Gérard, C.; Knauf, A.
5
1991
Closed orbits and converse KAM theory. Zbl 0702.70013
Knauf, Andreas
14
1990
The Hannay angles: Geometry, adiabaticity, and an example. Zbl 0825.58012
Golin, Simon; Knauf, Andreas; Marmi, Stefano
15
1989
On soft billiard systems. Zbl 0697.58034
Knauf, A.
10
1989
Hannay angles: Existence and geometrical interpretation. Zbl 0744.70021
Golin, Simon; Knauf, Andreas; Marmi, Stefano
1
1989
Ergodic and topological properties of coulombic periodic potentials. Zbl 0616.58044
Knauf, Andreas
23
1987
all top 5

Cited by 258 Authors

17 Knauf, Andreas
9 Weis, Stephan
6 Avendaño-Camacho, Misael
5 Gaspard, Pierre
5 Terracini, Susanna
4 Bialy, Misha
4 Fillman, Jake
4 Montúfar, Guido F.
4 Zanelli, Lorenzo
3 Asch, Joachim
3 Ay, Nihat
3 Barutello, Vivina L.
3 Bolotin, Sergeĭ Vladimirovich
3 Boscaggin, Alberto
3 Bourget, Olivier
3 Cafaro, Carlo
3 Contucci, Pierluigi
3 Damanik, David
3 Dambrosio, Walter
3 Fiala, Jan
3 Kleban, Peter
3 Martynchuk, Nikolay N.
3 Novaes, Marcel
3 Seri, Marcello
3 Wojtkowski, Maciej P.
2 Ali, Sean Alan
2 Alkauskas, Giedrius
2 Bálint, Péter
2 Borisov, Alekseĭ Vladimirovich
2 Broer, Henk W.
2 Canneori, Gian Marco
2 Cardin, Franco
2 De Roeck, Wojciech
2 Degli Esposti, Mirko
2 Donnay, Victor J.
2 Duerinckx, Mitia
2 Efstathiou, Konstantinos
2 Kahle, Thomas
2 Karpeshina, Yulia E.
2 MacKay, Robert Sinclair
2 Mamaev, Ivan Sergeevich
2 Mamani-Alegria, N.
2 Marmi, Stefano
2 Matúš, František
2 Miranda, Eva
2 Montgomery, Richard
2 Ong, Darren C.
2 Paternain, Gabriel Pedro
2 Prellberg, Thomas
2 Rom-Kedar, Vered
2 Shirley, Christopher
2 Shterenberg, Roman G.
2 Skrypnik, Wolodymyr I.
2 Soave, Nicola
2 Spitkovsky, Ilya Matvey
2 Szkoła, Arleta
2 Tabachnikov, Serge L.
2 Tóth, Imre Péter
2 Turaev, Dmitry V.
2 Yu, Guowei
1 Albeverio, Sergio A.
1 Ambrosio, Luigi
1 Ammann, Bernd Eberhard
1 Arrieta, Jorge
1 Assylbekov, Yernat M.
1 Astaburuaga, María Angélica
1 Bach, Volker
1 Bandtlow, Oscar F.
1 Beims, Marcus W.
1 Berkolaiko, Gregory
1 Biane, Philippe
1 Bizyaev, Ivan Alekseevich
1 Bjelaković, Igor
1 Boca, Florin-Petre
1 Bolsinov, Alexey V.
1 Bony, Jean-François
1 Booton, Laura
1 Bor, Gil
1 Bottois, Arthur
1 Bounemoura, Abed Bounemoura
1 Bruin, Henk
1 Burago, Dmitri
1 Buslaev, Vladimir Savel’evich
1 Caliceti, Emanuela
1 Camia, Federico
1 Cartwright, Julyan H. E.
1 Campos de Carvalho, Catarina
1 Castelli, Roberto
1 Cebulla, Christof
1 Chantelau, Klaus
1 Charbonnel, Anne-Marie
1 Chen, Jianxin
1 Chen, Qinbo
1 Chernov, Nikolai Ivanovich
1 Clark, Jeremy Thane
1 Cortés, Víctor H.
1 Croke, Christopher B.
1 Custódio, M. S.
1 Dairbekov, Nurlan Slyamkhanovich
1 Deng, Yanxia
...and 158 more Authors
all top 5

Cited in 81 Serials

28 Communications in Mathematical Physics
17 Journal of Mathematical Physics
11 Journal of Statistical Physics
6 Archive for Rational Mechanics and Analysis
5 Reviews in Mathematical Physics
5 Kybernetika
5 Ergodic Theory and Dynamical Systems
5 Chaos
4 Duke Mathematical Journal
4 Mathematische Zeitschrift
4 Calculus of Variations and Partial Differential Equations
4 Russian Journal of Mathematical Physics
4 Regular and Chaotic Dynamics
3 Reports on Mathematical Physics
3 Journal of Differential Equations
3 Journal of Functional Analysis
3 Physica D
3 Proceedings of the Steklov Institute of Mathematics
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Computational Physics
2 Letters in Mathematical Physics
2 Journal of Geometry and Physics
2 Advances in Mathematics
2 Inventiones Mathematicae
2 Journal of Approximation Theory
2 Journal of Number Theory
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Physics, Analysis and Geometry
2 New Journal of Physics
2 Qualitative Theory of Dynamical Systems
2 Advances in Mathematical Physics
1 International Journal of Modern Physics B
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Beiträge zur Algebra und Geometrie
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Glasgow Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Neural Computation
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Celestial Mechanics and Dynamical Astronomy
1 Indagationes Mathematicae. New Series
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Convex Analysis
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Open Systems & Information Dynamics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Miscelánea Matemática
1 Entropy
1 International Journal of Geometric Methods in Modern Physics
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Acta Mechanica Sinica
1 Journal of Fixed Point Theory and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Communications in Theoretical Physics
1 Annalen der Physik
1 Arnold Mathematical Journal
1 SIAM Journal on Applied Algebra and Geometry
all top 5

Cited in 42 Fields

75 Dynamical systems and ergodic theory (37-XX)
69 Quantum theory (81-XX)
53 Mechanics of particles and systems (70-XX)
46 Statistical mechanics, structure of matter (82-XX)
30 Partial differential equations (35-XX)
24 Differential geometry (53-XX)
20 Probability theory and stochastic processes (60-XX)
17 Number theory (11-XX)
17 Operator theory (47-XX)
16 Information and communication theory, circuits (94-XX)
10 Ordinary differential equations (34-XX)
9 Statistics (62-XX)
8 Convex and discrete geometry (52-XX)
7 Global analysis, analysis on manifolds (58-XX)
4 Algebraic geometry (14-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functional analysis (46-XX)
3 Numerical analysis (65-XX)
2 History and biography (01-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Computer science (68-XX)
2 Mechanics of deformable solids (74-XX)
2 Fluid mechanics (76-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year