Edit Profile (opens in new tab) Knill, Oliver Co-Author Distance Author ID: knill.oliver Published as: Knill, Oliver; Knill, O. Homepage: https://people.math.harvard.edu/~knill/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Twitter · dblp Documents Indexed: 124 Publications since 1991, including 2 Books and 91 Additional arXiv Preprints Co-Authors: 6 Co-Authors with 7 Joint Publications 224 Co-Co-Authors all top 5 Co-Authors 114 single-authored 3 Hof, A. L. 1 Gutkin, Eugene 1 Josellis, Frank W. 1 Lesieutre, John 1 Simon, Barry 1 Tangerman, Folkert M. all top 5 Serials 5 Communications in Mathematical Physics 2 Nonlinearity 2 Ergodic Theory and Dynamical Systems 2 Elemente der Mathematik 2 Linear Algebra and its Applications 1 Helvetica Physica Acta 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Transactions of the American Mathematical Society 1 Complex Systems 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 Expositiones Mathematicae 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory all top 5 Fields 69 Combinatorics (05-XX) 46 Manifolds and cell complexes (57-XX) 44 Computer science (68-XX) 26 Dynamical systems and ergodic theory (37-XX) 16 Algebraic topology (55-XX) 14 Differential geometry (53-XX) 11 Number theory (11-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Probability theory and stochastic processes (60-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 171 times in 155 Documents Cited by ▼ Year ▼ Singular continuous spectrum for palindromic Schrödinger operators. Zbl 0839.11009 Hof, A.; Knill, Oliver; Simon, Barry 62 1995 The upper Lyapunov exponent of \(Sl(2,R)\) cocycles: Discontinuity and the problem of positivity. Zbl 0746.58050 Knill, Oliver 16 1991 Positive Lyapunov exponents for a dense set of bounded measurable \(SL(2, \mathbb{R} )\)-cocycles. Zbl 0759.58025 Knill, Oliver 15 1992 Cauchy-Binet for pseudo-determinants. Zbl 1309.15013 Knill, Oliver 14 2014 Self-similarity and growth in Birkhoff sums for the golden rotation. Zbl 1254.11074 Knill, Oliver; Tangerman, Folkert 11 2011 Singular continuous spectrum and quantitative rates of weak mixing. Zbl 0949.28011 Knill, Oliver 10 1998 On nonconvex caustics of convex billiards. Zbl 1024.37030 Knill, Oliver 10 1998 Analytic continuation of Dirichlet series with almost periodic coefficients. Zbl 1291.30018 Knill, Oliver; Lesieutre, John 8 2012 Isospectral deformations of random Jacobi operators. Zbl 0768.58038 Knill, Oliver 5 1993 A discrete Gauss-Bonnet type theorem. Zbl 1269.53011 Knill, Oliver 5 2012 Billiards that share a triangular caustic. Zbl 0981.37010 Gutkin, E.; Knill, O. 4 1996 A Brouwer fixed-point theorem for graph endomorphisms. Zbl 1296.05136 Knill, Oliver 4 2013 Topological entropy of standard type monotone twist maps. Zbl 0945.37002 Knill, Oliver 3 1996 Factorization of random Jacobi operators and Bäcklund transformations. Zbl 0778.58059 Knill, Oliver 1 1993 Iteration of the coupled map lattice construction. Zbl 1020.37500 Jakobsen, A.; Knill, O. 1 1995 Zero-dimensional singular continuous spectrum for smooth differential equations on the torus. Zbl 0915.58092 Hof, A.; Knill, O. 1 1998 Isospectral deformation of discrete random Laplacians. Zbl 1002.58522 Knill, Oliver 1 1994 Cauchy-Binet for pseudo-determinants. Zbl 1309.15013 Knill, Oliver 14 2014 A Brouwer fixed-point theorem for graph endomorphisms. Zbl 1296.05136 Knill, Oliver 4 2013 Analytic continuation of Dirichlet series with almost periodic coefficients. Zbl 1291.30018 Knill, Oliver; Lesieutre, John 8 2012 A discrete Gauss-Bonnet type theorem. Zbl 1269.53011 Knill, Oliver 5 2012 Self-similarity and growth in Birkhoff sums for the golden rotation. Zbl 1254.11074 Knill, Oliver; Tangerman, Folkert 11 2011 Singular continuous spectrum and quantitative rates of weak mixing. Zbl 0949.28011 Knill, Oliver 10 1998 On nonconvex caustics of convex billiards. Zbl 1024.37030 Knill, Oliver 10 1998 Zero-dimensional singular continuous spectrum for smooth differential equations on the torus. Zbl 0915.58092 Hof, A.; Knill, O. 1 1998 Billiards that share a triangular caustic. Zbl 0981.37010 Gutkin, E.; Knill, O. 4 1996 Topological entropy of standard type monotone twist maps. Zbl 0945.37002 Knill, Oliver 3 1996 Singular continuous spectrum for palindromic Schrödinger operators. Zbl 0839.11009 Hof, A.; Knill, Oliver; Simon, Barry 62 1995 Iteration of the coupled map lattice construction. Zbl 1020.37500 Jakobsen, A.; Knill, O. 1 1995 Isospectral deformation of discrete random Laplacians. Zbl 1002.58522 Knill, Oliver 1 1994 Isospectral deformations of random Jacobi operators. Zbl 0768.58038 Knill, Oliver 5 1993 Factorization of random Jacobi operators and Bäcklund transformations. Zbl 0778.58059 Knill, Oliver 1 1993 Positive Lyapunov exponents for a dense set of bounded measurable \(SL(2, \mathbb{R} )\)-cocycles. Zbl 0759.58025 Knill, Oliver 15 1992 The upper Lyapunov exponent of \(Sl(2,R)\) cocycles: Discontinuity and the problem of positivity. Zbl 0746.58050 Knill, Oliver 16 1991 all cited Publications top 5 cited Publications all top 5 Cited by 219 Authors 15 Pelantová, Edita 9 Damanik, David 8 Starosta, Štěpán 6 Knill, Oliver 6 Masáková, Zuzana 5 Zamboni, Luca Quardo 4 de Oliveira, César R. 4 Labbé, Sébastien 4 Ramírez-Ros, Rafael 4 Simon, Barry 4 Viana, Marcelo 4 Wang, Yiqian 4 You, Jiangong 3 Aistleitner, Christoph 3 Ambrož, Petr 3 Balková, L’ubomíra 3 Bessa, Mário 3 Bochi, Jairo 3 Lenz, Daniel H. 3 Neumüller, Mario 3 Pinto de Carvalho, Sônia 2 Allouche, Jean-Paul Simon 2 Baake, Michael 2 Brlek, Srečko 2 Bufetov, Aleksandr Igorevich 2 Carvalho, Túlio O. 2 Dai, Xiongping 2 Embree, Mark 2 Fu, Linlin 2 Grepstad, Sigrid 2 Harju, Tero 2 Hauke, Manuel 2 Liang, Jinhao 2 Liu, Qinghui 2 Mednykh, Il’ya Aleksandrovich 2 Pongsriiam, Prapanpong 2 Qu, Yanhui 2 Remling, Christian 2 Solomyak, Boris 1 Amanatidis, Ilias 1 Ameli, Siavash 1 Arnold, Maxim 1 Artstein-Avidan, Shiri 1 Avila, Artur 1 Baláži, Peter 1 Barrientos, Pablo G. 1 Bašić, Bojan 1 Basumatary, Parameswar 1 Beckus, Siegfried 1 Bellissard, Jean V. 1 Bernat, Julien 1 Betre, Kassahun 1 Bhaskara, Vineeth S. 1 Bialy, Misha 1 Blondin Massé, Alexandre 1 Blumenthal, Alex 1 Bocker-Neto, Carlos 1 Borda, Bence 1 Borovička, Jaroslav 1 Brunton, Steven L. 1 Budišić, Marko 1 Cai, Ao 1 Cambrainha, Michel 1 Carmona, Ángeles 1 Carpi, Arturo 1 Carrasco, Pablo D. 1 Carvalho, Silas L. 1 Casiday, Beata 1 Cassaigne, Julien 1 Chavaudret, Claire 1 Cheng, Chong-Qing 1 Cheng, Wei 1 Contreras, Iván A. 1 Cortinovis, Alice 1 Currie, James D. 1 d’Alonzo, Valerio 1 De Luca, Lucia 1 De Nittis, Giuseppe 1 de Simoi, Jacopo 1 del Río Castillo, Rafael René 1 Diakonos, Fotis K. 1 Díaz, Lorenzo Justiniano 1 Dolce, Francesco 1 Domokos, Gábor 1 Eichinger, Benjamin 1 Fetter, Hans L. 1 Fici, Gabriele 1 Fillman, Jake 1 Fischler, Stéphane 1 Florentin, Dan Itzhak 1 Forni, Giovanni 1 Friesecke, Gero 1 Frisch, Harry L. 1 Frougny, Christiane 1 Frühwirth, Lorenz 1 Garon, Ariane 1 Gelfert, Katrin Grit 1 Glen, Amy 1 Gohlke, Philipp 1 Gorodetskii, Anton Semenovich ...and 119 more Authors all top 5 Cited in 79 Serials 10 Theoretical Computer Science 8 Communications in Mathematical Physics 8 Journal of Mathematical Analysis and Applications 6 Ergodic Theory and Dynamical Systems 5 Journal of Mathematical Physics 5 Proceedings of the American Mathematical Society 5 European Journal of Combinatorics 4 Journal of Statistical Physics 4 Nonlinearity 3 Discrete Applied Mathematics 3 Journal of Differential Equations 3 Linear Algebra and its Applications 3 Annales Henri Poincaré 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Linear and Multilinear Algebra 2 Applied Mathematics and Computation 2 Journal of Combinatorial Theory. Series A 2 Journal of Number Theory 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 Physica D 2 Graphs and Combinatorics 2 Journal of Dynamics and Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Quantum Information Processing 1 American Mathematical Monthly 1 Discrete Mathematics 1 International Journal of Theoretical Physics 1 Russian Mathematical Surveys 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Integral Equations and Operator Theory 1 Journal of Economic Theory 1 Journal of Functional Analysis 1 Mathematika 1 Pacific Journal of Mathematics 1 Advances in Applied Mathematics 1 International Journal of Production Research 1 SIAM Journal on Matrix Analysis and Applications 1 Science in China. Series A 1 International Journal of Foundations of Computer Science 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision 1 Journal of Nonlinear Science 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Chaos 1 Matematicheskie Trudy 1 Journal of Mathematical Fluid Mechanics 1 Journal of Integer Sequences 1 Journal of the European Mathematical Society (JEMS) 1 Fundamenta Informaticae 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Cubo 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Frontiers of Mathematics in China 1 Journal of Modern Dynamics 1 Algebra & Number Theory 1 AStA. Advances in Statistical Analysis 1 Ars Mathematica Contemporanea 1 RAIRO. Theoretical Informatics and Applications 1 Special Matrices all top 5 Cited in 41 Fields 68 Dynamical systems and ergodic theory (37-XX) 33 Computer science (68-XX) 22 Number theory (11-XX) 22 Quantum theory (81-XX) 18 Combinatorics (05-XX) 18 Operator theory (47-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Ordinary differential equations (34-XX) 9 Difference and functional equations (39-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Measure and integration (28-XX) 7 Convex and discrete geometry (52-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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