# zbMATH — the first resource for mathematics

## Grimm, Uwe

Compute Distance To:
 Author ID: grimm.uwe Published as: Grimm, Uwe; Grimm, U. External Links: MGP
 Documents Indexed: 63 Publications since 1988, including 3 Books
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#### Co-Authors

 7 single-authored 36 Baake, Michael 4 Gähler, Franz 3 Damanik, David 3 Guan, Xiwen 3 Römer, Rudolf A. 3 Schreiber, Michael 2 Baxter, Rodney J. 2 Chan, Lax 2 Garske, Tini 2 Heuer, Manuela 2 Priebe Frank, Natalie 2 Rittenberg, Vladimir 2 Warnaar, S. Ole 1 Adiceam, Faustin 1 Alcaraz, Francisco Castilho 1 Baake, U. 1 Birkner, Matthias 1 Elser, Veit 1 Foerster, Angela 1 Frettlöh, Dirk 1 Giegerich, Robert 1 Gritzmann, Peter 1 Haynes, Alan K. 1 Hermisson, Joachim 1 Huck, Christian 1 Jockusch, Harald 1 Joseph, Dieter 1 Julien, Antoine 1 Kepetowicz, Przemsyław 1 Mañibo, Neil 1 Martin, Paul Purdon 1 Navas, Andrés 1 Pearce, Paul A. 1 Pisani, Carmelo 1 Repetowicz, Przemysłwa 1 Richard, Christoph 1 Robinson, E. Arthur jun. 1 Sadun, Lorenzo A. 1 Schütz, Gunter M. 1 Short, Ian 1 Warrington, D. H. 1 Weiss, Barak 1 Zeiner, Peter
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#### Serials

 11 Journal of Physics A: Mathematical and General 4 International Journal of Modern Physics B 3 Journal of Statistical Physics 3 Zeitschrift für Kristallographie 2 Letters in Mathematical Physics 2 Nuclear Physics. B 2 Journal of Integer Sequences 2 Encyclopedia of Mathematics and Its Applications 2 Symmetry 1 Journal of Mathematical Physics 1 Studia Mathematica 1 Bulletin of Mathematical Biology 1 Journal of Geometry and Physics 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Discrete & Computational Geometry 1 Mathematical and Computer Modelling 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Annalen der Physik. 8th Series 1 The ANZIAM Journal 1 Entropy 1 Stochastics and Dynamics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Oberwolfach Reports 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Theoretical Biology 1 Arnold Mathematical Journal
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#### Fields

 35 Statistical mechanics, structure of matter (82-XX) 20 Convex and discrete geometry (52-XX) 19 Dynamical systems and ergodic theory (37-XX) 10 Quantum theory (81-XX) 9 Nonassociative rings and algebras (17-XX) 8 Number theory (11-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Combinatorics (05-XX) 6 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 4 Measure and integration (28-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Topological groups, Lie groups (22-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 317 times in 222 Documents Cited by Year
Aperiodic order. Volume 1. A mathematical invitation. Zbl 1295.37001
Baake, Michael; Grimm, Uwe
2013
Squirals and beyond: substitution tilings with singular continuous spectrum. Zbl 1315.37015
Baake, Michael; Grimm, Uwe
2014
Trace maps, invariants, and some of their applications. Zbl 0799.22011
Baake, M.; Grimm, U.; Joseph, D.
1993
Spectral and topological properties of a family of generalised Thue-Morse sequences. Zbl 1274.28006
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns. Zbl 1185.37029
Baake, Michael; Frettlöh, Dirk; Grimm, Uwe
2007
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. Zbl 1419.37017
Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe; Robinson, E. Arthur jun.
2019
On the entropy and letter frequencies of ternary square-free words. Zbl 1104.68090
Richard, Christoph; Grimm, Uwe
2004
Aperiodic order. Volume 2. Crystallography and almost periodicity. Zbl 1415.52001
Baake, Michael (ed.); Grimm, Uwe (ed.)
2017
The singular continuous diffraction measure of the Thue-Morse chain. Zbl 1151.37012
Baake, Michael; Grimm, Uwe
2008
Spectrum of a Rudin-Shapiro-like sequence. Zbl 1375.37035
Chan, Lax; Grimm, Uwe
2017
Spectral analysis of a family of binary inflation rules. Zbl 1406.37014
Baake, Michael; Grimm, Uwe; Mañibo, Neil
2018
The modified XXZ Heisenberg chain: Conformal invariance, surface exponents of $$c<1$$ systems and hidden symmetries of finite chains. Zbl 0719.17022
Grimm, U.; Rittenberg, V.
1990
Coordination sequences for root lattices and related graphs. Zbl 0921.05058
Baake, M.; Grimm, U.
1997
Multi-colour braid-monoid algebras. Zbl 0832.17021
Grimm, Uwe; Pearce, Paul A.
1993
On the notions of symmetry and aperiodicity for Delone sets. Zbl 1351.37071
Baake, Michael; Grimm, Uwe
2012
Examples of substitution systems and their factors. Zbl 1336.37012
Baake, Michael; Gähler, Franz; Grimm, Uwe
2013
Aperiodic Ising models. Zbl 0901.60078
Grimm, Uwe; Baake, Michael
1997
Maximum principle and mutation thresholds for four-letter sequence evolution. Zbl 1071.82039
Garske, T.; Grimm, U.
2004
Improved bounds on the number of ternary square-free words. Zbl 1004.05003
Grimm, Uwe
2001
The entropy of square-free words. Zbl 1185.68502
Baake, M.; Elser, V.; Grimm, U.
1997
What is $$\ldots$$ aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
2016
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. Zbl 1462.11060
Baake, Michael; Grimm, Uwe
2020
Partition function zeros for aperiodic systems. Zbl 1080.82502
Baake, Michael; Grimm, Uwe; Pisani, Carmelo
1995
Solvable RSOS models based on the dilute BWM algebra. Zbl 1020.82551
Grimm, Uwe; Warnaar, S. Ole
1995
The bubble algebra: Structure of a two-colour Temperley–Lieb algebras. Zbl 1053.81074
Grimm, Uwe; Martin, Paul P.
2003
A note on shelling. Zbl 1039.52017
Baake, Michael; Grimm, Uwe
2003
A supersymmetric $$U_q[\text{osp}(2|2)]$$-extended Hubbard model with boundary fields. Zbl 1066.82523
Guan, X.-W.; Foerster, A.; Grimm, U.; Römer, R. A.; Schreiber, M.
2001
Bravais colourings of planar modules with $$N$$-fold symmetry. Zbl 1239.11073
Baake, Michael; Grimm, Uwe
2004
A critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
A maximum principle for the mutation-selection equilibrium of nucleotide sequences. Zbl 1334.92270
Garske, Tini; Grimm, Uwe
2004
Hexagonal inflation tilings and planar monotiles. Zbl 1351.37070
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
Non-periodic systems with continuous diffraction measures. Zbl 1377.42007
Baake, Michael; Birkner, Matthias; Grimm, Uwe
2015
A guide to quasicrystal literature. Zbl 0968.52014
Baake, Michael; Grimm, Uwe
2000
Aperiodic Ising quantum chains. Zbl 1019.82006
Hermisson, Joachim; Grimm, Uwe; Baake, Michael
1997
Nonperiodic Ising quantum chains and conformal invariance. Zbl 0828.60098
Grimm, Uwe; Baake, Michael
1994
Some remarks on the visible points of a lattice. Zbl 1033.11501
Baake, M.; Grimm, U.; Warrington, D. H.
1994
Dilute Birman-Wenzl-Murakami algebra and $$D_{n+1}^{(2)}$$ models. Zbl 0834.17011
Grimm, Uwe
1994
Spectrum of a duality-twisted Ising quantum chain. Zbl 1038.82013
Grimm, Uwe
2002
The modified XXZ Heisenberg chain, conformal invariance and the surface exponents of $$c<1$$ systems. Zbl 0664.17013
Alcaraz, F. C.; Baake, M.; Grimm, U.; Rittenberg, V.
1989
Coincidence rotations of the root lattice $$A_4$$. Zbl 1172.52009
Baake, Michael; Grimm, Uwe; Heuer, Manuela; Zeiner, Peter
2008
Multiple planar coincidences with $$N$$-fold symmetry. Zbl 1239.11151
Baake, Michael; Grimm, Uwe
2006
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. Zbl 1457.52016
Baake, Michael; Grimm, Uwe
2020
The spin-$$1/2$$ $$XXZ$$ Heisenberg chain, the quantum algebra $$U_q[sl(2)]$$, and duality transformations for minimal models. Zbl 0935.82511
Grimm, Uwe; Schütz, Gunter
1993
Lax pair formulation for a small-polaron chain with integrable boundaries. Zbl 0920.58026
Guan, Xi-Wen; Grimm, Uwe; Römer, Rudolf A.
1998
High-temperature expansion for Ising models on quasiperiodic tilings. Zbl 1026.82029
Repetowicz, Przemysłwa; Grimm, Uwe; Schreiber, Michael
1999
Aperiodicity and disorder – do they play a role? Zbl 1160.82326
Grimm, Uwe
2002
On the entropy and letter frequencies of powerfree words. Zbl 1179.68112
Grimm, Uwe; Heuer, Manuela
2008
Substitution-based structures with absolutely continuous spectrum. Zbl 1393.37019
Chan, Lax; Grimm, Uwe; Short, Ian
2018
Aperiodic order. Zbl 1417.37017
Grimm, Uwe
2017
Discrete tomography of model sets: reconstruction and uniqueness. Zbl 1418.78005
Grimm, Uwe; Gritzmann, Peter; Huck, Christian
2017
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings. Zbl 1462.11060
Baake, Michael; Grimm, Uwe
2020
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions. Zbl 1457.52016
Baake, Michael; Grimm, Uwe
2020
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction. Zbl 1419.37017
Baake, Michael; Frank, Natalie Priebe; Grimm, Uwe; Robinson, E. Arthur jun.
2019
Spectral analysis of a family of binary inflation rules. Zbl 1406.37014
Baake, Michael; Grimm, Uwe; Mañibo, Neil
2018
Substitution-based structures with absolutely continuous spectrum. Zbl 1393.37019
Chan, Lax; Grimm, Uwe; Short, Ian
2018
Aperiodic order. Volume 2. Crystallography and almost periodicity. Zbl 1415.52001
Baake, Michael; Grimm, Uwe
2017
Spectrum of a Rudin-Shapiro-like sequence. Zbl 1375.37035
Chan, Lax; Grimm, Uwe
2017
Aperiodic order. Zbl 1417.37017
Grimm, Uwe
2017
Discrete tomography of model sets: reconstruction and uniqueness. Zbl 1418.78005
Grimm, Uwe; Gritzmann, Peter; Huck, Christian
2017
What is $$\ldots$$ aperiodic order? Zbl 1352.52028
Baake, Michael; Damanik, David; Grimm, Uwe
2016
Non-periodic systems with continuous diffraction measures. Zbl 1377.42007
Baake, Michael; Birkner, Matthias; Grimm, Uwe
2015
Squirals and beyond: substitution tilings with singular continuous spectrum. Zbl 1315.37015
Baake, Michael; Grimm, Uwe
2014
Aperiodic order. Volume 1. A mathematical invitation. Zbl 1295.37001
Baake, Michael; Grimm, Uwe
2013
Examples of substitution systems and their factors. Zbl 1336.37012
Baake, Michael; Gähler, Franz; Grimm, Uwe
2013
Spectral and topological properties of a family of generalised Thue-Morse sequences. Zbl 1274.28006
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
On the notions of symmetry and aperiodicity for Delone sets. Zbl 1351.37071
Baake, Michael; Grimm, Uwe
2012
Hexagonal inflation tilings and planar monotiles. Zbl 1351.37070
Baake, Michael; Gähler, Franz; Grimm, Uwe
2012
The singular continuous diffraction measure of the Thue-Morse chain. Zbl 1151.37012
Baake, Michael; Grimm, Uwe
2008
Coincidence rotations of the root lattice $$A_4$$. Zbl 1172.52009
Baake, Michael; Grimm, Uwe; Heuer, Manuela; Zeiner, Peter
2008
On the entropy and letter frequencies of powerfree words. Zbl 1179.68112
Grimm, Uwe; Heuer, Manuela
2008
A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns. Zbl 1185.37029
Baake, Michael; Frettlöh, Dirk; Grimm, Uwe
2007
Multiple planar coincidences with $$N$$-fold symmetry. Zbl 1239.11151
Baake, Michael; Grimm, Uwe
2006
On the entropy and letter frequencies of ternary square-free words. Zbl 1104.68090
Richard, Christoph; Grimm, Uwe
2004
Maximum principle and mutation thresholds for four-letter sequence evolution. Zbl 1071.82039
Garske, T.; Grimm, U.
2004
Bravais colourings of planar modules with $$N$$-fold symmetry. Zbl 1239.11073
Baake, Michael; Grimm, Uwe
2004
A maximum principle for the mutation-selection equilibrium of nucleotide sequences. Zbl 1334.92270
Garske, Tini; Grimm, Uwe
2004
The bubble algebra: Structure of a two-colour Temperley–Lieb algebras. Zbl 1053.81074
Grimm, Uwe; Martin, Paul P.
2003
A note on shelling. Zbl 1039.52017
Baake, Michael; Grimm, Uwe
2003
Spectrum of a duality-twisted Ising quantum chain. Zbl 1038.82013
Grimm, Uwe
2002
Aperiodicity and disorder – do they play a role? Zbl 1160.82326
Grimm, Uwe
2002
Improved bounds on the number of ternary square-free words. Zbl 1004.05003
Grimm, Uwe
2001
A supersymmetric $$U_q[\text{osp}(2|2)]$$-extended Hubbard model with boundary fields. Zbl 1066.82523
Guan, X.-W.; Foerster, A.; Grimm, U.; Römer, R. A.; Schreiber, M.
2001
A guide to quasicrystal literature. Zbl 0968.52014
Baake, Michael; Grimm, Uwe
2000
High-temperature expansion for Ising models on quasiperiodic tilings. Zbl 1026.82029
Repetowicz, Przemysłwa; Grimm, Uwe; Schreiber, Michael
1999
Lax pair formulation for a small-polaron chain with integrable boundaries. Zbl 0920.58026
Guan, Xi-Wen; Grimm, Uwe; Römer, Rudolf A.
1998
Coordination sequences for root lattices and related graphs. Zbl 0921.05058
Baake, M.; Grimm, U.
1997
Aperiodic Ising models. Zbl 0901.60078
Grimm, Uwe; Baake, Michael
1997
The entropy of square-free words. Zbl 1185.68502
Baake, M.; Elser, V.; Grimm, U.
1997
Aperiodic Ising quantum chains. Zbl 1019.82006
Hermisson, Joachim; Grimm, Uwe; Baake, Michael
1997
A critical Ising model on the labyrinth. Zbl 1264.82017
Baake, Michael; Grimm, Uwe; Baxter, Rodney J.
1996
Partition function zeros for aperiodic systems. Zbl 1080.82502
Baake, Michael; Grimm, Uwe; Pisani, Carmelo
1995
Solvable RSOS models based on the dilute BWM algebra. Zbl 1020.82551
Grimm, Uwe; Warnaar, S. Ole
1995
Nonperiodic Ising quantum chains and conformal invariance. Zbl 0828.60098
Grimm, Uwe; Baake, Michael
1994
Some remarks on the visible points of a lattice. Zbl 1033.11501
Baake, M.; Grimm, U.; Warrington, D. H.
1994
Dilute Birman-Wenzl-Murakami algebra and $$D_{n+1}^{(2)}$$ models. Zbl 0834.17011
Grimm, Uwe
1994
Trace maps, invariants, and some of their applications. Zbl 0799.22011
Baake, M.; Grimm, U.; Joseph, D.
1993
Multi-colour braid-monoid algebras. Zbl 0832.17021
Grimm, Uwe; Pearce, Paul A.
1993
The spin-$$1/2$$ $$XXZ$$ Heisenberg chain, the quantum algebra $$U_q[sl(2)]$$, and duality transformations for minimal models. Zbl 0935.82511
Grimm, Uwe; Schütz, Gunter
1993
The modified XXZ Heisenberg chain: Conformal invariance, surface exponents of $$c<1$$ systems and hidden symmetries of finite chains. Zbl 0719.17022
Grimm, U.; Rittenberg, V.
1990
The modified XXZ Heisenberg chain, conformal invariance and the surface exponents of $$c<1$$ systems. Zbl 0664.17013
Alcaraz, F. C.; Baake, M.; Grimm, U.; Rittenberg, V.
1989
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#### Cited by 277 Authors

 42 Baake, Michael 21 Grimm, Uwe 13 Strungaru, Nicolae 11 Frettlöh, Dirk 11 Lenz, Daniel H. 8 Damanik, David 7 Huck, Christian 6 Coons, Michael 6 Gähler, Franz 6 Spindeler, Timo 5 Mañibo, Neil 5 Moody, Robert Vaughan 5 Richard, Christoph 5 Yessen, William N. 4 Gainutdinov, Azat M. 4 Garber, Alexeĭ Igorevich 4 Priebe Frank, Natalie 4 Saleur, Hubert 4 Solomyak, Boris 3 Akiyama, Shigeki 3 Baake, Ellen 3 de las Penas, Ma. Louise Antonette N. 3 Fernique, Thomas 3 Fillman, Jake 3 Gohlke, Philipp 3 Gorodetskii, Anton Semenovich 3 Haynes, Alan K. 3 Heuer, Manuela 3 Jacobsen, Jesper Lykke 3 Oertel-Jäger, Tobias Hendrik 3 Kellendonk, Johannes 3 Keller, Gerhard 3 Kesseböhmer, Marc 3 Lee, Jeong-Yup 3 Morin-Duchesne, Alexi 3 Mosbach, Arne 3 Pearce, Paul A. 3 Samuel, Tony 3 Senechal, Marjorie Wikler 3 Shur, Arseny M. 3 Steffens, Malte 3 van Enter, Aernout C. D. 3 Zeiner, Peter 2 Au-Yang, Helen 2 Bowers, Philip L. 2 Bufetov, Aleksandr Igorevich 2 Chan, Lax 2 Currie, James D. 2 East, James 2 Hauser, Thomas 2 Julien, Antoine 2 Koivusalo, Henna 2 Li, Guangliang 2 Ochem, Pascal 2 Perk, Jacques H. H. 2 Pogorzelski, Felix 2 Read, Nicholas 2 Roberts, John Anthony Gerard 2 Rosenfeld, Vladimir Raphael 2 Sablik, Mathieu 2 Savinien, Jean 2 Say-Awen, April Lynne D. 2 Smilansky, Yotam 2 Solomon, Yaar 2 Stephenson, Kenneth 2 Terauds, Venta 2 Treviño, Rodrigo 2 Twarock, Reidun 2 Walton, James J. 2 Whittaker, Michael F. 2 Zappa, Emilio 1 Adiceam, Faustin 1 Akkermans, Eric 1 Arnaudon, Daniel 1 Aujouge, Jean-Baptiste 1 Avan, Jean 1 Avishai, Yshai 1 Bacher, Roland 1 Bandt, Christoph 1 Barbieri, Sebastián 1 Barge, Marcy M. 1 Bartlett, Alan 1 Beckus, Siegfried 1 Bédaride, Nicolas 1 Belletête, Jonathan 1 Bel’mesova, S. S. 1 Bena, Ioana 1 Berend, Daniel 1 Berlinkov, Artemi 1 Berstel, Jean 1 Berthé, Valérie 1 Bétermin, Laurent 1 Birkner, Matthias 1 Björklund, Michael 1 Bovier, Anton 1 Buganski, Ireneusz 1 Bugarin, E. P. 1 Bugeaud, Yann 1 Bustos, Álvaro 1 Caalim, Jonathan V. ...and 177 more Authors
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#### Cited in 84 Serials

 18 Journal of Statistical Physics 13 Ergodic Theory and Dynamical Systems 10 Discrete & Computational Geometry 9 Journal of Statistical Mechanics: Theory and Experiment 8 Journal of Mathematical Physics 7 Theoretical Computer Science 7 Indagationes Mathematicae. New Series 7 Annales Henri Poincaré 6 Communications in Mathematical Physics 6 Acta Crystallographica. Section A 5 European Journal of Combinatorics 5 Symmetry 4 Letters in Mathematical Physics 4 Journal of Combinatorial Theory. Series A 4 Discrete and Continuous Dynamical Systems 4 Proceedings of the Steklov Institute of Mathematics 3 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Journal of Geometry and Physics 3 Journal of Functional Analysis 3 Monatshefte für Mathematik 3 Transactions of the American Mathematical Society 3 Journal of High Energy Physics 2 Journal of Mathematical Biology 2 Nuclear Physics. B 2 Studia Mathematica 2 The Mathematical Intelligencer 2 Acta Arithmetica 2 Advances in Mathematics 2 Geometriae Dedicata 2 Michigan Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Documenta Mathematica 2 Journal of Mathematical Chemistry 2 Conformal Geometry and Dynamics 2 Oberwolfach Reports 1 International Journal of Modern Physics B 1 Communications in Algebra 1 Journal d’Analyse Mathématique 1 Physica A 1 Bulletin of Mathematical Biology 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Geometry 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 International Journal of Algebra and Computation 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 The Journal of Fourier Analysis and Applications 1 Journal of Integer Sequences 1 New Journal of Physics 1 Annals of Mathematics. Second Series 1 Interdisciplinary Information Sciences (IIS) 1 Communications in Nonlinear Science and Numerical Simulation 1 RAIRO. Theoretical Informatics and Applications 1 Physical Review Letters 1 The ANZIAM Journal 1 Journal of the Australian Mathematical Society 1 Entropy 1 Stochastics and Dynamics 1 Journal of Mathematics and the Arts 1 Discrete and Continuous Dynamical Systems. Series S 1 Cryptography and Communications 1 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 Computer Science Review 1 Journal of Mathematics 1 Arnold Mathematical Journal
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#### Cited in 41 Fields

 83 Dynamical systems and ergodic theory (37-XX) 79 Convex and discrete geometry (52-XX) 48 Statistical mechanics, structure of matter (82-XX) 35 Number theory (11-XX) 22 Quantum theory (81-XX) 20 Computer science (68-XX) 19 Measure and integration (28-XX) 18 Group theory and generalizations (20-XX) 15 Combinatorics (05-XX) 13 Probability theory and stochastic processes (60-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Abstract harmonic analysis (43-XX) 9 Topological groups, Lie groups (22-XX) 9 Operator theory (47-XX) 7 Biology and other natural sciences (92-XX) 6 Partial differential equations (35-XX) 5 Nonassociative rings and algebras (17-XX) 5 Functional analysis (46-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Algebraic topology (55-XX) 2 $$K$$-theory (19-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)