Edit Profile (opens in new tab) Knauf, Andreas Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 22 single-authored 4 Contucci, Pierluigi 3 Degli Esposti, Mirko 3 Golin, Simon 3 Marmi, Stefano 2 Asch, Joachim 2 Ay, Nihat 2 Féjoz, Jacques 2 Fleischer, Stefan 2 Jecko, Thierry 2 Klein, Markus 2 Krapf, Markus 2 Montgomery, Richard 2 Seri, Marcello 2 Taimanov, Iskander Asanovich 2 Weis, Stephan 1 Amsharov, Konstantin 1 Benatti, Fabio 1 Bianchi, Alessandra 1 Castella, François 1 Gérard, Christian 1 Guerra, Francesco 1 Helffer, Bernard 1 Hudetz, Thomas 1 Isola, Stefano 1 Kleban, Peter 1 Martynchuk, Nikolay N. 1 Schulz, Frank 1 Schumacher, Christoph 1 Siburg, Karl Friedrich 1 Siedentop, Heinz Karl Heinrich 1 Sinaĭ, Yakov Grigor’evich 1 Tomada, Jörg 1 Weikard, Rudi 1 Zhao, Ming-Jing all top 5 Serials 9 Communications in Mathematical Physics 6 Nonlinearity 5 Journal of Mathematical Physics 3 Journal of Statistical Physics 2 Archive for Rational Mechanics and Analysis 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Reviews in Mathematical Physics 2 Regular and Chaotic Dynamics 1 Discrete Applied Mathematics 1 Arkiv för Matematik 1 Indiana University Mathematics Journal 1 Kybernetika 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Forum Mathematicum 1 Communications in Partial Differential Equations 1 Séminaire Équations aux Dérivées Partielles 1 Doklady Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Open Systems & Information Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 DMV Seminar 1 Lecture Notes in Physics. New Series m: Monographs 1 Unitext 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Springer-Lehrbuch Masterclass all top 5 Fields 27 Dynamical systems and ergodic theory (37-XX) 24 Mechanics of particles and systems (70-XX) 16 Quantum theory (81-XX) 16 Statistical mechanics, structure of matter (82-XX) 10 Number theory (11-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 4 Information and communication theory, circuits (94-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 298 times in 197 Documents Cited by ▼ Year ▼ Motion in periodic potentials. Zbl 0896.34027Asch, Joachim; Knauf, Andreas 24 1998 Ergodic and topological properties of coulombic periodic potentials. Zbl 0616.58044Knauf, Andreas 23 1987 Classical planar scattering by Coulombic potentials. Zbl 0783.70001Klein, Markus; Knauf, Andreas 19 1992 The \(n\)-centre problem of celestial mechanics for large energies. Zbl 1010.70011Knauf, Andreas 17 2002 The Hannay angles: Geometry, adiabaticity, and an example. Zbl 0825.58012Golin, Simon; Knauf, Andreas; Marmi, Stefano 15 1989 Closed orbits and converse KAM theory. Zbl 0702.70013Knauf, Andreas 14 1990 Maximizing multi-information. Zbl 1249.82011Ay, Nihat; Knauf, Andreas 13 2006 On a ferromagnetic spin chain. Zbl 0776.11047Knauf, Andreas 12 1993 On the integrability of the \(n\)-centre problem. Zbl 1136.37033Knauf, Andreas; Taimanov, Iskander A. 10 2005 On soft billiard systems. Zbl 0697.58034Knauf, A. 10 1989 Entropy distance: new quantum phenomena. Zbl 1278.81046Weis, Stephan; Knauf, Andreas 10 2012 The number-theoretical spin chain and the Riemann zeroes. Zbl 0926.11059Knauf, Andreas 9 1998 The phase transition of the number-theoretical spin chain. Zbl 0896.11033Contucci, Pierluigi; Knauf, Andreas 9 1997 Phases of the number-theoretic spin chain. Zbl 1102.82307Knauf, Andreas 7 1993 Qualitative aspects of classical potential scattering. Zbl 0982.81054Knauf, A. 7 1999 Quantum chaos and dynamical entropy. Zbl 0927.37008Benatti, Fabio; Hudetz, Thomas; Knauf, Andreas 7 1998 Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities. Zbl 1162.81019Castella, François; Jecko, Thierry; Knauf, Andreas 6 2008 Lagrangian relations and linear point billiards. Zbl 1375.37114Féjoz, Jacques; Knauf, Andreas; Montgomery, Richard 6 2017 On a ferromagnetic spin chain. II: Thermodynamic limit. Zbl 0811.11081Knauf, Andreas 5 1994 Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054Gérard, 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 0756.35061Helffer, Bernard; Knauf, Andreas; Siedentop, Heinz; Weikard, Rudi 5 1992 Generalized Farey trees, transfer operators and phase transitions. Zbl 1131.37040Degli Esposti, Mirko; Isola, Stefano; Knauf, Andreas 5 2007 Free energy and correlations of the number-theoretical spin chain. Zbl 0999.82007Guerra, Francesco; Knauf, Andreas 5 1998 Quantum transport on KAM tori. Zbl 0936.47046Asch, Joachim; Knauf, Andreas 5 1999 Number theory, dynamical systems and statistical mechanics. Zbl 0956.11019Knauf, Andreas 5 1999 Maximizing the divergence from a hierarchical model of quantum states. Zbl 1312.81040Weis, Stephan; Knauf, Andreas; Ay, Nihat; Zhao, Ming-Jing 5 2015 The non-trapping degree of scattering. Zbl 1228.70008Knauf, Andreas; Krapf, Markus 4 2008 On the form factor for the unitary group. Zbl 1064.81036Degli Esposti, Mirko; Knauf, Andreas 4 2004 A fully magnetizing phase transition. Zbl 0958.82016Contucci, Pierluigi; Kleban, Peter; Knauf, Andreas 4 1999 Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050Knauf, Andreas; Sinai, Yakov G. 4 1997 Chaotic motion in Coulombic potentials. Zbl 0947.37506Klein, Markus; Knauf, Andreas 3 1992 The low activity phase of some Dirichlet series. Zbl 0865.11061Contucci, Pierluigi; Knauf, Andreas 3 1996 The integrability of the \(n\)-center problem at high energies. Zbl 1378.70019Knauf, A.; Taĭmanov, I. A. 3 2004 Mathematical physics: classical mechanics. Translated from the 2nd German edition by Jochen Denzler. Zbl 1446.70001Knauf, Andreas 3 2018 Improbability of collisions in \(n\)-body systems. Zbl 1448.70029Fleischer, Stefan; Knauf, Andreas 3 2019 Stochastically stable quenched measures. Zbl 1102.82013Bianchi, Alessandra; Contucci, Pierluigi; Knauf, Andreas 2 2004 Improbability of wandering orbits passing through a sequence of Poincaré surfaces of decreasing size. Zbl 1459.37018Fleischer, Stefan; Knauf, Andreas 2 2019 Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich 2 2013 Hannay angles: Existence and geometrical interpretation. Zbl 0744.70021Golin, Simon; Knauf, Andreas; Marmi, Stefano 1 1989 Resonances in the two-center Coulomb systems. Zbl 1360.81337Seri, Marcello; Knauf, Andreas; Esposti, Mirko Degli; Jecko, Thierry 1 2016 Mathematical physics: classical mechanics. 2nd revised and enlarged edition. (Mathematische Physik: Klassische Mechanik.) Zbl 1390.70001Knauf, Andreas 1 2017 Improbability of collisions in \(n\)-body systems. Zbl 1448.70029Fleischer, Stefan; Knauf, Andreas 3 2019 Improbability of wandering orbits passing through a sequence of Poincaré surfaces of decreasing size. Zbl 1459.37018Fleischer, Stefan; Knauf, Andreas 2 2019 Mathematical physics: classical mechanics. Translated from the 2nd German edition by Jochen Denzler. Zbl 1446.70001Knauf, Andreas 3 2018 Lagrangian relations and linear point billiards. Zbl 1375.37114Féjoz, Jacques; Knauf, Andreas; Montgomery, Richard 6 2017 Mathematical physics: classical mechanics. 2nd revised and enlarged edition. (Mathematische Physik: Klassische Mechanik.) Zbl 1390.70001Knauf, Andreas 1 2017 Resonances in the two-center Coulomb systems. Zbl 1360.81337Seri, Marcello; Knauf, Andreas; Esposti, Mirko Degli; Jecko, Thierry 1 2016 Maximizing the divergence from a hierarchical model of quantum states. Zbl 1312.81040Weis, Stephan; Knauf, Andreas; Ay, Nihat; Zhao, Ming-Jing 5 2015 Positive topological entropy for multi-bump magnetic fields. Zbl 1291.37114Knauf, Andreas; Schulz, Frank; Siburg, Karl Friedrich 2 2013 Entropy distance: new quantum phenomena. Zbl 1278.81046Weis, Stephan; Knauf, Andreas 10 2012 Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities. Zbl 1162.81019Castella, François; Jecko, Thierry; Knauf, Andreas 6 2008 The non-trapping degree of scattering. Zbl 1228.70008Knauf, Andreas; Krapf, Markus 4 2008 Generalized Farey trees, transfer operators and phase transitions. Zbl 1131.37040Degli Esposti, Mirko; Isola, Stefano; Knauf, Andreas 5 2007 Maximizing multi-information. Zbl 1249.82011Ay, Nihat; Knauf, Andreas 13 2006 On the integrability of the \(n\)-centre problem. Zbl 1136.37033Knauf, Andreas; Taimanov, Iskander A. 10 2005 On the form factor for the unitary group. Zbl 1064.81036Degli Esposti, Mirko; Knauf, Andreas 4 2004 The integrability of the \(n\)-center problem at high energies. Zbl 1378.70019Knauf, A.; Taĭmanov, I. A. 3 2004 Stochastically stable quenched measures. Zbl 1102.82013Bianchi, Alessandra; Contucci, Pierluigi; Knauf, Andreas 2 2004 The \(n\)-centre problem of celestial mechanics for large energies. Zbl 1010.70011Knauf, Andreas 17 2002 Qualitative aspects of classical potential scattering. Zbl 0982.81054Knauf, A. 7 1999 Quantum transport on KAM tori. Zbl 0936.47046Asch, Joachim; Knauf, Andreas 5 1999 Number theory, dynamical systems and statistical mechanics. Zbl 0956.11019Knauf, Andreas 5 1999 A fully magnetizing phase transition. Zbl 0958.82016Contucci, Pierluigi; Kleban, Peter; Knauf, Andreas 4 1999 Motion in periodic potentials. Zbl 0896.34027Asch, Joachim; Knauf, Andreas 24 1998 The number-theoretical spin chain and the Riemann zeroes. Zbl 0926.11059Knauf, Andreas 9 1998 Quantum chaos and dynamical entropy. Zbl 0927.37008Benatti, Fabio; Hudetz, Thomas; Knauf, Andreas 7 1998 Free energy and correlations of the number-theoretical spin chain. Zbl 0999.82007Guerra, Francesco; Knauf, Andreas 5 1998 The phase transition of the number-theoretical spin chain. Zbl 0896.11033Contucci, Pierluigi; Knauf, Andreas 9 1997 Classical nonintegrability, quantum chaos. With a contribution by Viviane Baladi. Zbl 0867.58050Knauf, Andreas; Sinai, Yakov G. 4 1997 The low activity phase of some Dirichlet series. Zbl 0865.11061Contucci, Pierluigi; Knauf, Andreas 3 1996 On a ferromagnetic spin chain. II: Thermodynamic limit. Zbl 0811.11081Knauf, Andreas 5 1994 On a ferromagnetic spin chain. Zbl 0776.11047Knauf, Andreas 12 1993 Phases of the number-theoretic spin chain. Zbl 1102.82307Knauf, Andreas 7 1993 Classical planar scattering by Coulombic potentials. Zbl 0783.70001Klein, 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 0756.35061Helffer, Bernard; Knauf, Andreas; Siedentop, Heinz; Weikard, Rudi 5 1992 Chaotic motion in Coulombic potentials. Zbl 0947.37506Klein, Markus; Knauf, Andreas 3 1992 Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054Gérard, C.; Knauf, A. 5 1991 Closed orbits and converse KAM theory. Zbl 0702.70013Knauf, Andreas 14 1990 The Hannay angles: Geometry, adiabaticity, and an example. Zbl 0825.58012Golin, Simon; Knauf, Andreas; Marmi, Stefano 15 1989 On soft billiard systems. Zbl 0697.58034Knauf, A. 10 1989 Hannay angles: Existence and geometrical interpretation. Zbl 0744.70021Golin, Simon; Knauf, Andreas; Marmi, Stefano 1 1989 Ergodic and topological properties of coulombic periodic potentials. Zbl 0616.58044Knauf, Andreas 23 1987 all cited Publications top 5 cited Publications 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