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## Arioli, Gianni

Compute Distance To:
 Author ID: arioli.gianni Published as: Arioli, G.; Arioli, Gianni
 Documents Indexed: 45 Publications since 1995
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#### Co-Authors

 6 single-authored 15 Gazzola, Filippo 13 Koch, Hans-Friedrich 5 Szulkin, Andrzej 4 Terracini, Susanna 3 Grunau, Hans-Christoph 2 Ambrosi, Davide 2 Zgliczyński, Piotr 1 Barutello, Vivina L. 1 Chabrowski, Jan H. 1 Mitidieri, Enzo Luigi 1 Nobile, Fabio 1 Quarteroni, Alfio M. 1 Ruf, Bernhard 1 Sassone, Edoardo 1 Zou, Wenming
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#### Serials

 7 Journal of Differential Equations 5 Communications in Mathematical Physics 3 SIAM Journal on Applied Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Dynamic Systems and Applications 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales des Sciences Mathématiques du Québec 1 Mathematische Zeitschrift 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Differential and Integral Equations 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Topological Methods in Nonlinear Analysis 1 Discrete and Continuous Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Milan Journal of Mathematics 1 Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 23 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Mechanics of particles and systems (70-XX) 9 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Numerical analysis (65-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

40 Publications have been cited 537 times in 388 Documents Cited by Year
A semilinear Schrödinger equation in the presence of a magnetic field. Zbl 1051.35082
Arioli, Gianni; Szulkin, Andrzej
2003
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2005
Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation. Zbl 1231.35016
Arioli, Gianni; Koch, Hans
2010
Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004
Arioli, G.; Gazzola, F.
1996
Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation. Zbl 1304.35181
Arioli, Gianni; Koch, Hans
2015
Homoclinic solutions of Hamiltonian systems with symmetry. Zbl 0944.37030
Arioli, Gianni; Szulkin, Andrzej
1999
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
2011
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
2010
Some results on $$p$$-Laplace equations with a critical growth term. Zbl 1131.35325
Arioli, Gianni; Gazzola, Filippo
1998
Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028
Arioli, G.; Gazzola, F.; Terracini, S.
1996
A homoclinic solution for excitation waves on a contractile substratum. Zbl 1260.34080
Ambrosi, D.; Arioli, G.; Koch, H.
2012
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
2006
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. Zbl 1018.37006
Arioli, Gianni; Zgliczyński, Piotr
2001
Non-symmetric low-index solutions for a symmetric boundary value problem. Zbl 1232.35047
Arioli, Gianni; Koch, Hans
2012
A new branch of mountain pass solutions for the choreographical 3-body problem. Zbl 1118.70008
Arioli, Gianni; Barutello, Vivina; Terracini, Susanna
2006
Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046
Arioli, G.; Gazzola, F.
1995
Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model. Zbl 1076.70008
Arioli, Gianni; Koch, Hans; Terracini, Susanna
2005
Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem. Zbl 1016.70007
Arioli, Gianni
2002
Minimization properties of Hill’s orbits and applications to some $$N$$-body problems. Zbl 0977.70006
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna
2000
The critical renormalization fixed point for commuting pairs of area-preserving maps. Zbl 1196.37074
Arioli, Gianni; Koch, Hans
2010
Multibump solutions and critical groups. Zbl 1175.37066
Arioli, Gianni; Szulkin, Andrzej; Zou, Wenming
2009
The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo
2008
Long term dynamics of a reaction–diffusion system. Zbl 1116.35014
Arioli, Gianni
2007
Periodic motions of an infinite lattice of particles: the strongly indefinite case. Zbl 1100.37503
Arioli, Gianni; Szulkin, Andrzej
1998
On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065
Arioli, Gianni; Gazzola, Filippo
2015
Some symmetric boundary value problems and non-symmetric solutions. Zbl 1319.35056
Arioli, Gianni; Koch, Hans
2015
The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. Zbl 1040.37049
Arioli, Gianni; Zgliczyński, Piotr
2003
Homoclinic solutions for a class of systems of second order differential equations. Zbl 0857.34048
Arioli, G.; Szulkin, A.
1995
A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007
Arioli, Gianni; Gazzola, Filippo
2015
Branches of periodic orbits for the planar restricted 3-body problem. Zbl 1060.37070
Arioli, Gianni
2004
Quasilinear elliptic equations at critical growth. Zbl 0940.35088
Arioli, Gianni; Gazzola, Filippo
1998
Weak solutions of quasilinear elliptic PDE’s at resonance. Zbl 0920.35050
Arioli, Gianni; Gazzola, Filippo
1997
Families of periodic solutions for some Hamiltonian PDEs. Zbl 1370.35213
Arioli, Gianni; Koch, Hans
2017
Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068
Arioli, Gianni; Gazzola, Filippo
2000
On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048
Arioli, G.; Gazzola, F.
1998
Spectral stability for the wave equation with periodic forcing. Zbl 1402.35039
Arioli, Gianni; Koch, Hans
2018
Periodic motions of a dynamical system consisting of an infinite lattice of particles. Zbl 0889.34036
Arioli, G.; Chabrowski, J.
1997
Some breathers and multi-breathers for FPU-type chains. Zbl 07136926
Arioli, Gianni; Koch, Hans
2019
Non-radial solutions for some semilinear elliptic equations on the disk. Zbl 1404.35198
Arioli, Gianni; Koch, Hans
2019
Periodic solutions for a system of forced and nonlinearly coupled oscillators with applications to electrical circuits. Zbl 0823.34045
Arioli, G.; Ruf, B.
1995
Some breathers and multi-breathers for FPU-type chains. Zbl 07136926
Arioli, Gianni; Koch, Hans
2019
Non-radial solutions for some semilinear elliptic equations on the disk. Zbl 1404.35198
Arioli, Gianni; Koch, Hans
2019
Spectral stability for the wave equation with periodic forcing. Zbl 1402.35039
Arioli, Gianni; Koch, Hans
2018
Families of periodic solutions for some Hamiltonian PDEs. Zbl 1370.35213
Arioli, Gianni; Koch, Hans
2017
Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation. Zbl 1304.35181
Arioli, Gianni; Koch, Hans
2015
On a nonlinear nonlocal hyperbolic system modeling suspension bridges. Zbl 1338.74065
Arioli, Gianni; Gazzola, Filippo
2015
Some symmetric boundary value problems and non-symmetric solutions. Zbl 1319.35056
Arioli, Gianni; Koch, Hans
2015
A new mathematical explanation of what triggered the catastrophic torsional mode of the tacoma narrows bridge. Zbl 1432.74007
Arioli, Gianni; Gazzola, Filippo
2015
A homoclinic solution for excitation waves on a contractile substratum. Zbl 1260.34080
Ambrosi, D.; Arioli, G.; Koch, H.
2012
Non-symmetric low-index solutions for a symmetric boundary value problem. Zbl 1232.35047
Arioli, Gianni; Koch, Hans
2012
Electromechanical coupling in cardiac dynamics: the active strain approach. Zbl 1419.74174
Ambrosi, D.; Arioli, G.; Nobile, F.; Quarteroni, A.
2011
Computer-assisted methods for the study of stationary solutions in dissipative systems, applied to the Kuramoto-Sivashinski equation. Zbl 1231.35016
Arioli, Gianni; Koch, Hans
2010
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
2010
The critical renormalization fixed point for commuting pairs of area-preserving maps. Zbl 1196.37074
Arioli, Gianni; Koch, Hans
2010
Multibump solutions and critical groups. Zbl 1175.37066
Arioli, Gianni; Szulkin, Andrzej; Zou, Wenming
2009
The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four. Zbl 1143.35329
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Sassone, Edoardo
2008
Long term dynamics of a reaction–diffusion system. Zbl 1116.35014
Arioli, Gianni
2007
Entire solutions for a semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1152.35360
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph
2006
A new branch of mountain pass solutions for the choreographical 3-body problem. Zbl 1118.70008
Arioli, Gianni; Barutello, Vivina; Terracini, Susanna
2006
A semilinear fourth order elliptic problem with exponential nonlinearity. Zbl 1162.35339
Arioli, Gianni; Gazzola, Filippo; Grunau, Hans-Christoph; Mitidieri, Enzo
2005
Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model. Zbl 1076.70008
Arioli, Gianni; Koch, Hans; Terracini, Susanna
2005
Branches of periodic orbits for the planar restricted 3-body problem. Zbl 1060.37070
Arioli, Gianni
2004
A semilinear Schrödinger equation in the presence of a magnetic field. Zbl 1051.35082
Arioli, Gianni; Szulkin, Andrzej
2003
The Hénon-Heiles Hamiltonian near the critical energy level. Some rigorous results. Zbl 1040.37049
Arioli, Gianni; Zgliczyński, Piotr
2003
Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem. Zbl 1016.70007
Arioli, Gianni
2002
Symbolic dynamics for the Hénon-Heiles Hamiltonian on the critical level. Zbl 1018.37006
Arioli, Gianni; Zgliczyński, Piotr
2001
Minimization properties of Hill’s orbits and applications to some $$N$$-body problems. Zbl 0977.70006
Arioli, Gianni; Gazzola, Filippo; Terracini, Susanna
2000
Existence and multiplicity results for quasilinear elliptic differential systems. Zbl 0942.35068
Arioli, Gianni; Gazzola, Filippo
2000
Homoclinic solutions of Hamiltonian systems with symmetry. Zbl 0944.37030
Arioli, Gianni; Szulkin, Andrzej
1999
Some results on $$p$$-Laplace equations with a critical growth term. Zbl 1131.35325
Arioli, Gianni; Gazzola, Filippo
1998
Periodic motions of an infinite lattice of particles: the strongly indefinite case. Zbl 1100.37503
Arioli, Gianni; Szulkin, Andrzej
1998
Quasilinear elliptic equations at critical growth. Zbl 0940.35088
Arioli, Gianni; Gazzola, Filippo
1998
On a quasilinear elliptic differential equation in unbounded domains. Zbl 0931.35048
Arioli, G.; Gazzola, F.
1998
Weak solutions of quasilinear elliptic PDE’s at resonance. Zbl 0920.35050
Arioli, Gianni; Gazzola, Filippo
1997
Periodic motions of a dynamical system consisting of an infinite lattice of particles. Zbl 0889.34036
Arioli, G.; Chabrowski, J.
1997
Periodic motions of an infinite lattice of particles with nearest neighbor interaction. Zbl 0867.70004
Arioli, G.; Gazzola, F.
1996
Multibump periodic motions of an infinite lattice of particles. Zbl 0871.34028
Arioli, G.; Gazzola, F.; Terracini, S.
1996
Existence and numerical approximation of periodic motions of an infinite lattice of particles. Zbl 0838.34046
Arioli, G.; Gazzola, F.
1995
Homoclinic solutions for a class of systems of second order differential equations. Zbl 0857.34048
Arioli, G.; Szulkin, A.
1995
Periodic solutions for a system of forced and nonlinearly coupled oscillators with applications to electrical circuits. Zbl 0823.34045
Arioli, G.; Ruf, B.
1995
all top 5

#### Cited by 467 Authors

 19 Arioli, Gianni 18 Gazzola, Filippo 16 James, J. D. Mireles 14 Lessard, Jean-Philippe 13 Squassina, Marco 10 Koch, Hans-Friedrich 10 Ma, Shiwang 9 Ding, Yanheng 9 Ferrero, Alberto 9 Terracini, Susanna 8 Ambrosio, Vincenzo 8 Zhou, Zhan 7 Zgliczyński, Piotr 6 de la Llave, Rafael 6 Guo, Zongming 6 Mireles-James, Jason D. 6 Quarteroni, Alfio M. 6 van den Berg, Jan Bouwe 6 Yang, Minbo 6 Zhang, Shiqing 5 Castelli, Roberto 5 Grunau, Hans-Christoph 5 Liang, Sihua 5 Tang, Zhongwei 5 Wang, Zhi-Qiang 4 Alves, Claudianor Oliveira 4 Berchio, Elvise 4 Capinski, Maciej J. 4 Chen, Guanwei 4 Cingolani, Silvia 4 Degiovanni, Marco 4 Deng, Chunhua 4 Lai, Baishun 4 Lin, Genghong 4 Miyagaki, Olimpio Hiroshi 4 Montenegro, Marcos 4 Pavarino, Luca Franco 4 Pinamonti, Andrea 4 Scacchi, Simone 4 Sun, Jijiang 4 Szulkin, Andrzej 4 Vecchi, Eugenio 4 Yu, Jian-She 3 Barutello, Vivina L. 3 Bonheure, Denis 3 Breden, Maxime 3 Carrião, Paulo Cesar 3 Chen, Peng 3 Chen, Ruipeng 3 Cowan, Craig 3 Dávila, Juan 3 Escudero, Carlos Arturo 3 Figueiredo, Giovany Malcher 3 Gameiro, Marcio F. 3 Ghoussoub, Nassif A. 3 Jeanjean, Louis 3 Ji, Chao 3 Jiao, Yujuan 3 Kepley, Shane 3 Ma, Ruyun 3 Nguyen, Hoai-Minh 3 Secchi, Simone 3 Tang, Xianhua 3 Teresi, Luciano 3 Van Schaftingen, Jean 3 Wan, FangShu 3 Wanner, Thomas 3 Warnault, Guillaume 3 Weth, Tobias 3 Zhang, Binlin 3 Zhang, Jihui 2 Ackermann, Nils 2 Agarwal, Ravi P. 2 Aouaoui, Sami 2 Barile, Sara 2 Calleja, Renato C. 2 Cassani, Daniele 2 Clapp, Mónica 2 Cyranka, Jacek 2 d’Avenia, Pietro 2 Dede, Luca 2 Ding, Jian 2 Farina, Alberto 2 Figueras, Jordi-Lluís 2 Fleurantin, Emmanuel 2 Flores, Isabel 2 Franzone, P. Colli 2 Fu, Shengmao 2 García-Azpeitia, Carlos 2 Ghergu, Marius 2 Göktepe, Serdar 2 Goubet, Olivier 2 Guerra, Ignacio A. 2 Karageorgis, Paschalis 2 Lee, Cheng 2 Liu, Chungen 2 Liu, Jiaquan 2 Liu, Wenbin 2 Manzoni, Andrea 2 Mitidieri, Enzo Luigi ...and 367 more Authors
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#### Cited in 119 Serials

 43 Journal of Differential Equations 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 23 Journal of Mathematical Analysis and Applications 14 SIAM Journal on Applied Dynamical Systems 8 Calculus of Variations and Partial Differential Equations 7 Archive for Rational Mechanics and Analysis 7 Physica D 7 NoDEA. Nonlinear Differential Equations and Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Applied Mathematics and Computation 6 Applied Mathematics Letters 6 Journal of Dynamics and Differential Equations 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 Communications in Contemporary Mathematics 6 Communications on Pure and Applied Analysis 5 Nonlinearity 5 Indagationes Mathematicae. New Series 5 Journal of Fixed Point Theory and Applications 5 Journal of Computational Dynamics 5 Advances in Nonlinear Analysis 4 Applicable Analysis 4 Communications in Mathematical Physics 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Advanced Nonlinear Studies 4 Science China. Mathematics 3 Computers & Mathematics with Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Geometry and Physics 3 Manuscripta Mathematica 3 Applied Mathematical Modelling 3 Celestial Mechanics and Dynamical Astronomy 3 Potential Analysis 3 European Journal of Mechanics. A. Solids 2 Journal of Statistical Physics 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Chaos 2 Acta Mathematica Sinica. English Series 2 Nonlinear Analysis. Real World Applications 2 Foundations of Computational Mathematics 2 Milan Journal of Mathematics 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Journal of Theoretical Biology 2 Journal of Function Spaces 2 Journal of Elliptic and Parabolic Equations 1 Astrophysics and Space Science 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Collectanea Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Studies in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Computational Mechanics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 Sugaku Expositions 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 SIAM Journal on Mathematical Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Set-Valued Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin des Sciences Mathématiques 1 Advances in Differential Equations 1 Nonlinear Dynamics 1 Discrete Dynamics in Nature and Society 1 Journal of the European Mathematical Society (JEMS) ...and 19 more Serials
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#### Cited in 30 Fields

 215 Partial differential equations (35-XX) 104 Dynamical systems and ergodic theory (37-XX) 81 Ordinary differential equations (34-XX) 52 Numerical analysis (65-XX) 41 Global analysis, analysis on manifolds (58-XX) 38 Mechanics of particles and systems (70-XX) 30 Mechanics of deformable solids (74-XX) 23 Biology and other natural sciences (92-XX) 22 Operator theory (47-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Difference and functional equations (39-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 13 Optics, electromagnetic theory (78-XX) 12 Quantum theory (81-XX) 11 Functional analysis (46-XX) 9 Real functions (26-XX) 6 Potential theory (31-XX) 4 Differential geometry (53-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX)