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## Balser, Werner

Compute Distance To:
 Author ID: balser.werner Published as: Balser, Werner; Balser, W.
 Documents Indexed: 67 Publications since 1976, including 3 Books
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#### Co-Authors

 39 single-authored 12 Jurkat, Wolfgang B. 11 Lutz, Donald A. 3 Kostov, Vladimir Petrov 3 Peyerimhoff, Alexander 2 Röscheisen, Claudia Christina 2 Yoshino, Masafumi 1 Beck, Andreas 1 Braaksma, Boele L. J. 1 Braun, Rüdiger Winfried 1 Filipuk, Galina V. 1 Łysik, Grzegorz 1 Michalik, Sławomir 1 Miyake, Masatake 1 Mozo-Fernández, Jorge 1 Ramis, Jean-Pierre 1 Schäfke, Reinhard 1 Sibuya, Yasutaka 1 Steiner, Frank 1 Sträng, Eric
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#### Serials

 5 Journal of Differential Equations 5 Journal of Dynamical and Control Systems 4 Funkcialaj Ekvacioj. Serio Internacia 3 Hiroshima Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Yokohama Mathematical Journal 3 Analysis 3 Asymptotic Analysis 2 Journal of Mathematical Analysis and Applications 2 Canadian Journal of Mathematics 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Linear Algebra and its Applications 2 SIAM Journal on Mathematical Analysis 1 Analysis Mathematica 1 Houston Journal of Mathematics 1 Russian Mathematical Surveys 1 Acta Scientiarum Mathematicarum 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of the Faculty of Science. Section I A 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Complex Variables. Theory and Application 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Functional Differential Equations 1 Banach Center Publications 1 Lecture Notes in Mathematics 1 Universitext
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#### Fields

 53 Ordinary differential equations (34-XX) 12 Sequences, series, summability (40-XX) 11 Functions of a complex variable (30-XX) 11 Partial differential equations (35-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX)

#### Citations contained in zbMATH Open

44 Publications have been cited 569 times in 290 Documents Cited by Year
Formal power series and linear systems of meromorphic ordinary differential equations. Zbl 0942.34004
Balser, Werner
2000
From divergent power series to analytic functions. Theory and application of multisummable power series. Zbl 0810.34046
Balser, Werner
1994
Birkhoff invariants and Stokes’ multipliers for meromorphic linear differential equations. Zbl 0415.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1979
Multisummability of formal power series solutions of linear ordinary differential equations. Zbl 0754.34057
Balser, W.; Braaksma, B. L. J.; Ramis, Jean-Pierre; Sibuya, Yasutaka
1991
A general theory of invariants for meromorphic differential equations. I: Formal invariants. Zbl 0434.34002
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1979
Multisummability of formal power series solutions of partial differential equations with constant coefficients. Zbl 1052.35048
Balser, Werner
2004
Summability of formal solutions of certain partial differential equations. Zbl 0987.35032
Balser, Werner; Miyake, Masatake
1999
Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke. Zbl 0960.35045
Balser, Werner
1999
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. I. Zbl 0468.34024
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1981
Multisummability of formal solutions of singular perturbation problems. Zbl 1015.34080
Balser, Werner; Mozo-Fernández, Jorge
2002
Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients. Zbl 1237.34149
Balser, Werner; Yoshino, Masafumi
2010
A general theory of invariants for meromorphic differential equations. II: Proper invariants. Zbl 0473.34028
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1979
Summation of formal power series through iterated Laplace integrals. Zbl 0769.34004
Balser, Werner
1992
Transfer of connection problems for meromorphic differential equations of rank $$r\geq 2$$ and representations of solutions. Zbl 0483.34009
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1982
Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085
Balser, W.; Kostov, V.
2002
Summability of formal power-series solutions of partial differential equations with constant coefficients. Zbl 1128.35030
Balser, Werner
2003
Invariants for reducible systems of meromorphic differential equations. Zbl 0446.34007
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1980
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. II. Zbl 0639.34034
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1988
A different characterization of multi-summable power series. Zbl 0759.40005
Balser, Werner
1992
Power series methods and multisummability. Zbl 1078.34534
Balser, Werner; Braun, Rüdiger W.
2000
Multisummability of iterated integrals. Zbl 0787.30026
Balser, W.; Tovbis, A.
1993
Transfer of connection problems for first level solutions of meromorphic differential equations, and associated Laplace transforms. Zbl 0509.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1983
Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. Zbl 1105.35024
Balser, Werner
2005
Computation of formal fundamental solutions. Zbl 0934.65066
Balser, Werner
1999
Growth estimates for the coefficients of generalized formal solutions, and representation of solutions using Laplace integrals and factorial series. Zbl 0483.34008
Balser, Werner
1982
A general theory of invariants for meromorphic differential equations. III. Applications. Zbl 0506.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1980
Summmability of formal power series solutions of ordinary and partial differential equations. Zbl 1050.34126
Balser, W.
2001
Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030
2005
Explicit evaluation of the Stokes’ multipliers and central connection coefficients for certain systems of linear differential equations. Zbl 0668.34013
Balser, W.
1988
Meromorphic transformation to Birkhoff standard form in dimension three. Zbl 0703.34008
Balser, Werner
1989
Addendum to my paper: A different characterization of multi-summable power series. Zbl 0778.40002
Balser, Werner
1993
Multisummability of complete formal solutions for nonlinear systems of meromorphic ordinary differential equations. Zbl 0909.34002
Balser, Werner
1997
Solutions of first level of meromorphic differential equations. Zbl 0466.34003
Balser, W.
1982
On the convergence of Borel approximants. Zbl 1029.34074
Balser, W.; Lutz, D. A.; Schäfke, R.
2002
A constructive existence proof for first level formal solutions of meromorphic differential equations. Zbl 0584.34002
Balser, W.
1985
Formal power series solutions of the heat equation in one spatial variable. Zbl 1356.35118
Balser, Werner
2007
Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142
2003
Birkhoff’s reduction problem. Zbl 1077.34001
Balser, Werner
2004
Über Abschnittslimitierbarkeit. Zbl 0316.40006
Balser, Werner
1976
Characterization of first level formal solutions by means of the growth of their coefficients. Zbl 0524.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1984
Zum Einzigkeitssatz in der Invariantentheorie meromorpher Differentialgleichungen. Zbl 0425.34010
Balser, Werner
1980
Convergent power series expansions for the Birkhoff invariants of meromorphic differential equations. I: Definition of the coefficient functions. Zbl 0558.34004
Balser, W.
1984
Convergent power series expansions for the Birkhoff invariants of meromorpic differential equations. Zbl 0603.34005
Balser, Werner
1985
Analytic transformation to Birkhoff standard form in dimension three. Zbl 0706.34004
Balser, Werner
1990
Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients. Zbl 1237.34149
Balser, Werner; Yoshino, Masafumi
2010
Formal power series solutions of the heat equation in one spatial variable. Zbl 1356.35118
Balser, Werner
2007
Summability of power series in several variables, with applications to singular perturbation problems and partial differential equations. Zbl 1105.35024
Balser, Werner
2005
Formally well-posed Cauchy problems for linear partial differential equations with constant coefficients. Zbl 1076.35030
2005
Multisummability of formal power series solutions of partial differential equations with constant coefficients. Zbl 1052.35048
Balser, Werner
2004
Birkhoff’s reduction problem. Zbl 1077.34001
Balser, Werner
2004
Summability of formal power-series solutions of partial differential equations with constant coefficients. Zbl 1128.35030
Balser, Werner
2003
Recent progress in the theory of formal solutions for ODE and PDE. Zbl 1054.34142
2003
Multisummability of formal solutions of singular perturbation problems. Zbl 1015.34080
Balser, Werner; Mozo-Fernández, Jorge
2002
Singular perturbation of linear systems with a regular singularity. Zbl 1020.34085
Balser, W.; Kostov, V.
2002
On the convergence of Borel approximants. Zbl 1029.34074
Balser, W.; Lutz, D. A.; Schäfke, R.
2002
Summmability of formal power series solutions of ordinary and partial differential equations. Zbl 1050.34126
Balser, W.
2001
Formal power series and linear systems of meromorphic ordinary differential equations. Zbl 0942.34004
Balser, Werner
2000
Power series methods and multisummability. Zbl 1078.34534
Balser, Werner; Braun, Rüdiger W.
2000
Summability of formal solutions of certain partial differential equations. Zbl 0987.35032
Balser, Werner; Miyake, Masatake
1999
Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke. Zbl 0960.35045
Balser, Werner
1999
Computation of formal fundamental solutions. Zbl 0934.65066
Balser, Werner
1999
Multisummability of complete formal solutions for nonlinear systems of meromorphic ordinary differential equations. Zbl 0909.34002
Balser, Werner
1997
From divergent power series to analytic functions. Theory and application of multisummable power series. Zbl 0810.34046
Balser, Werner
1994
Multisummability of iterated integrals. Zbl 0787.30026
Balser, W.; Tovbis, A.
1993
Addendum to my paper: A different characterization of multi-summable power series. Zbl 0778.40002
Balser, Werner
1993
Summation of formal power series through iterated Laplace integrals. Zbl 0769.34004
Balser, Werner
1992
A different characterization of multi-summable power series. Zbl 0759.40005
Balser, Werner
1992
Multisummability of formal power series solutions of linear ordinary differential equations. Zbl 0754.34057
Balser, W.; Braaksma, B. L. J.; Ramis, Jean-Pierre; Sibuya, Yasutaka
1991
Analytic transformation to Birkhoff standard form in dimension three. Zbl 0706.34004
Balser, Werner
1990
Meromorphic transformation to Birkhoff standard form in dimension three. Zbl 0703.34008
Balser, Werner
1989
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. II. Zbl 0639.34034
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1988
Explicit evaluation of the Stokes’ multipliers and central connection coefficients for certain systems of linear differential equations. Zbl 0668.34013
Balser, W.
1988
A constructive existence proof for first level formal solutions of meromorphic differential equations. Zbl 0584.34002
Balser, W.
1985
Convergent power series expansions for the Birkhoff invariants of meromorpic differential equations. Zbl 0603.34005
Balser, Werner
1985
Characterization of first level formal solutions by means of the growth of their coefficients. Zbl 0524.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1984
Convergent power series expansions for the Birkhoff invariants of meromorphic differential equations. I: Definition of the coefficient functions. Zbl 0558.34004
Balser, W.
1984
Transfer of connection problems for first level solutions of meromorphic differential equations, and associated Laplace transforms. Zbl 0509.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1983
Transfer of connection problems for meromorphic differential equations of rank $$r\geq 2$$ and representations of solutions. Zbl 0483.34009
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1982
Growth estimates for the coefficients of generalized formal solutions, and representation of solutions using Laplace integrals and factorial series. Zbl 0483.34008
Balser, Werner
1982
Solutions of first level of meromorphic differential equations. Zbl 0466.34003
Balser, W.
1982
On the reduction of connection problems for differential equations with an irregular singular point to ones with only regular singularities. I. Zbl 0468.34024
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1981
Invariants for reducible systems of meromorphic differential equations. Zbl 0446.34007
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1980
A general theory of invariants for meromorphic differential equations. III. Applications. Zbl 0506.34006
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1980
Zum Einzigkeitssatz in der Invariantentheorie meromorpher Differentialgleichungen. Zbl 0425.34010
Balser, Werner
1980
Birkhoff invariants and Stokes’ multipliers for meromorphic linear differential equations. Zbl 0415.34008
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1979
A general theory of invariants for meromorphic differential equations. I: Formal invariants. Zbl 0434.34002
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1979
A general theory of invariants for meromorphic differential equations. II: Proper invariants. Zbl 0473.34028
Balser, W.; Jurkat, W. B.; Lutz, D. A.
1979
Über Abschnittslimitierbarkeit. Zbl 0316.40006
Balser, Werner
1976
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#### Cited by 234 Authors

 26 Malek, Stéphane 21 Lastra, Alberto 17 Balser, Werner 13 Sanz, Javier 12 Michalik, Sławomir 10 Remy, Pascal 9 Costin, Ovidiu 7 Barkatou, Moulay A. 7 Schäfke, Reinhard 7 Zhang, Changgui 6 Mozo-Fernández, Jorge 5 Boalch, Philip P. 5 Braaksma, Boele L. J. 5 De Maesschalck, Peter 5 Guzzetti, Davide 5 Ichinobe, Kunio 5 Jiménez-Garrido, Javier 5 Tanveer, Saleh 4 Carrillo, Sergio A. 4 Gontsov, Renat R. 4 Loday-Richaud, Michèle 4 Luo, Zhuangchu 4 Ramis, Jean-Pierre 4 Sabbah, Claude 3 Bolibrukh, Andreĭ Andreevich 3 Bridgeland, Tom 3 Chen, Hua 3 Costin, Rodica D. 3 Cotti, Giordano 3 Hibino, Masaki 3 Kenens, Karel 3 Klimeš, Martin 3 Lutz, Donald A. 3 Meurer, Thomas 3 Schindl, Gerhard 3 Shramchenko, Vasilisa 3 Suwińska, Maria 3 Vyugin, Ilya V. 3 Yoshino, Masafumi 3 Zhang, Youwei 2 Coatanhay, Arnaud 2 Conoir, Jean-Marc 2 de la Llave, Rafael 2 Dreyfus, Thomas 2 Faber, Bernard Frans 2 Gal, Ciprian Gheorghe Sorin 2 Gal, Sorin Gheorghe 2 Glutsyuk, Alexey A. 2 Goldstein, Jerome Arthur 2 Goryuchkina, Irina V. 2 Guest, Martin A. 2 Hien, Marco 2 Hiroe, Kazuki 2 Huang, Min 2 Iritani, Hiroshi 2 Its, Alexander Rudolfovich 2 Jurkat, Wolfgang B. 2 Korotkin, Dmitrii A. 2 Kovalevskij, M. A. 2 Łysik, Grzegorz 2 Maddah, Suzy S. 2 Martinet, Jean 2 Olivé, Carme 2 Ōuchi, Sunao 2 Popović, Nikola 2 Rasoamanana, Jean-Marc 2 M-Seara, Tere 2 Sibuya, Yasutaka 2 Singer, Michael F. 2 Takei, Yoshitsugu 2 Tovbis, A. I. 2 Tovbis, Alexander 2 Ünver, Mehmet 2 Xu, Xiaomeng 1 Allegretti, Dylan Gregory Lucasi 1 Artamonov, Dmitry V. 1 Aycock, Alexander 1 Baldomá, Inmaculada 1 Barbieri, Anna 1 Barroso, J. M. 1 Beck, Andreas 1 Besalú, Emili 1 Blázquez-Sanz, David 1 Bothner, Thomas 1 Boyd, John Philip 1 Bühring, Wolfgang 1 Calleja, Renato C. 1 Canalis-Durand, Mireille 1 Caprini, Irinel 1 Carletti, Timoteo 1 Castro-Jiménez, Francisco Jesús 1 Celletti, Alessandra 1 Chen, Guoting 1 Cluzeau, Thomas 1 Colin de Verdière, Yves 1 Conti, William R. P. 1 Corel, Eduardo 1 Corsi, Livia 1 Çoşkun, Hüsamettin 1 D’Agnolo, Andrea ...and 134 more Authors
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#### Cited in 113 Serials

 27 Journal of Differential Equations 25 Journal of Dynamical and Control Systems 19 Annales de l’Institut Fourier 18 Journal of Mathematical Analysis and Applications 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Linear Algebra and its Applications 5 Advances in Mathematics 5 Duke Mathematical Journal 5 Results in Mathematics 5 Journal of Symbolic Computation 5 Abstract and Applied Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Difference Equations and Applications 3 Journal of Geometry and Physics 3 Journal of Computational and Applied Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Nonlinearity 2 Archiv der Mathematik 2 Automatica 2 Funkcialaj Ekvacioj. Serio Internacia 2 Publications Mathématiques 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the Japan Academy. Series A 2 Transactions of the American Mathematical Society 2 Asymptotic Analysis 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Expositiones Mathematicae 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Physics, Analysis and Geometry 2 Lobachevskii Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Advances in Difference Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Random Matrices: Theory and Applications 2 Arnold Mathematical Journal 1 Applicable Analysis 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematische Semesterberichte 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Nagoya Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 International Journal of Mathematics 1 Numerical Algorithms 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Mathematical and Computer Modelling of Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) ...and 13 more Serials
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#### Cited in 43 Fields

 132 Ordinary differential equations (34-XX) 95 Partial differential equations (35-XX) 31 Sequences, series, summability (40-XX) 30 Functions of a complex variable (30-XX) 24 Algebraic geometry (14-XX) 23 Several complex variables and analytic spaces (32-XX) 22 Dynamical systems and ergodic theory (37-XX) 16 Differential geometry (53-XX) 12 Difference and functional equations (39-XX) 10 Special functions (33-XX) 8 Computer science (68-XX) 8 Fluid mechanics (76-XX) 7 Integral transforms, operational calculus (44-XX) 7 Operator theory (47-XX) 6 Field theory and polynomials (12-XX) 6 Numerical analysis (65-XX) 5 Number theory (11-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 4 Commutative algebra (13-XX) 4 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Systems theory; control (93-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)