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## Bojdecki, Tomasz

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 Author ID: bojdecki.tomasz Published as: Bojdecki, T.; Bojdecki, Tomasz
 Documents Indexed: 52 Publications since 1970, including 2 Books Reviewing Activity: 168 Reviews
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#### Co-Authors

 9 single-authored 31 Gorostiza, Luis G. 16 Talarczyk, Anna 8 Jakubowski, Jacek 1 Hosza, Jerzy 1 Łoś, Jerzy 1 Nualart, David 1 Ramaswamy, Srinivasan 1 Skomorochin, Aleksander 1 Zabczyk, Jerzy
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#### Serials

 9 Stochastic Processes and their Applications 3 Potential Analysis 2 Applied Mathematics and Optimization 2 Journal of Multivariate Analysis 2 Mathematische Nachrichten 2 Statistics & Probability Letters 2 Stochastic Analysis and Applications 2 Journal of Theoretical Probability 2 Electronic Journal of Probability 2 Electronic Communications in Probability 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Stochastics 1 Studia Mathematica 1 The Annals of Probability 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of Functional Analysis 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Annales Societatis Mathematicae Polonae. Seria III. Matematyka Stosowana 1 Indagationes Mathematicae. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Bernoulli 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Monografías del Instituto de Matemáticas, México 1 Aportaciones Matematicas. Textos
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#### Fields

 50 Probability theory and stochastic processes (60-XX) 5 Functional analysis (46-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

42 Publications have been cited 483 times in 220 Documents Cited by Year
Sub-fractional Brownian motion and its relation to occupation times. Zbl 1076.60027
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2004
Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence. Zbl 1082.60024
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2006
Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Zbl 1128.60025
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2007
Langevin equations for S’-valued Gaussian processes and fluctuation limits of infinite particle systems. Zbl 0595.60096
Bojdecki, Tomasz; Gorostiza, Luis G.
1986
Convergence of $${\mathcal S}'$$-valued processes and space-time random fields. Zbl 0589.46027
Bojdecki, T.; Gorostiza, L. G.; Ramaswamy, S.
1986
Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions. Zbl 1089.60021
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2006
Fractional Brownian density process and its self-intersection local time of order $$k$$. Zbl 1074.60047
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2004
A long range dependence stable process and an infinite variance branching system. Zbl 1121.60028
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2007
Occupation time fluctuations of an infinite-variance branching system in large dimensions. Zbl 1193.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2007
Occupation time limits of inhomogeneous Poisson systems of independent particles. Zbl 1139.60316
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2008
Probability maximizing approach to optimal stopping and its application to a disorder problem. Zbl 0432.60051
Bojdecki, Tomasz
1979
On optimal stopping of a sequence of independent random variables- probability maximizing approach. Zbl 0374.60088
Bojdecki, Tomasz
1978
Self-similar stable processes arising from high-density limits of occupation times of particle systems. Zbl 1143.60314
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2008
Ito stochastic integral in the dual of a nuclear space. Zbl 0692.60042
Bojdecki, Tomasz; Jakubowski, Jacek
1989
Inhomogeneous infinite dimensional Langevin equations. Zbl 0637.60076
Bojdecki, Tomasz; Gorostiza, Luis G.
1988
On a generalized disorder problem. Zbl 0549.60038
Bojdecki, Tomasz; Hosza, Jerzy
1984
Stochastic integration for inhomogeneous Wiener process in the dual of a nuclear space. Zbl 0716.60056
Bojdecki, Tomasz; Jakubowski, Jacek
1990
Self-intersection local time for $$S^1(\mathbb R^d)$$-Wiener processes and related Ornstein-Uhlenbeck processes. Zbl 1043.60508
Bojdecki, Tomasz; Gorostiza, Luis G.
1999
Self-intersection local time for Gaussian $${\mathcal S}'(\mathbb{R} ^ d)$$-processes: Existence, path continuity and examples. Zbl 0853.60035
Bojdecki, Tomasz; Gorostiza, Luis G.
1995
Fractional Brownian motion via fractional Laplacian. Zbl 0941.60067
Bojdecki, Tomasz; Gorostiza, Luis G.
1999
Gaussian and non-Gaussian distribution-valued Ornstein-Uhlenbeck processes. Zbl 0753.60037
Bojdecki, Tomasz; Gorostiza, Luis G.
1991
Particle picture interpretation of some Gaussian processes related to fractional Brownian motion. Zbl 1242.60036
Bojdecki, Tomasz; Talarczyk, Anna
2012
Particle systems with quasi-homogeneous initial states and their occupation time fluctuations. Zbl 1226.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2010
Oscillatory fractional Brownian motion. Zbl 1311.60043
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2013
Number variance for hierarchical random walks and related fluctuations. Zbl 1244.60047
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2011
Particle picture approach to the self-intersection local time of density processes in $$\mathcal S^{\prime}(\mathbb R^d)$$. Zbl 1075.60098
Bojdecki, Tomasz; Talarczyk, Anna
2005
Self-intersection local time for some $${\mathcal S}'(\mathbb{R}^d)$$-Ornstein-Uhlenbeck processes related to inhomogeneous fields. Zbl 0988.60072
Bojdecki, Tomasz; Gorostiza, Luis G.
2001
From intersection local time to the Rosenblatt process. Zbl 1346.60135
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2015
Time-localization of random distributions on Wiener space. II: Convergence, fractional Brownian density processes. Zbl 1005.60064
Bojdecki, Tomasz; Gorostiza, Luis G.
2002
Invariant measures for generalized Langevin equations in conuclear spaces. Zbl 0997.60067
Bojdecki, Tomasz; Jakubowski, Jacek
1999
Time-localization of random distributions on Wiener space. Zbl 0874.60042
Bojdecki, Tomasz; Gorostiza, Luis G.; Nualart, David
1997
Stochastic integral with respect to a generalized Wiener process in a conuclear space. Zbl 0693.60043
Bojdecki, Tomasz; Jakubowski, Jacek
1989
On optimal stopping of independent random variables appearing according to a renewal process, with random time horizon. Zbl 0449.60032
Bojdecki, Tomasz
1977
Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses. Zbl 1190.60080
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2009
Self-intersection local time for $$S'({\mathbb R}^d)$$-Ornstein-Uhlenbeck processes arising from immigration systems. Zbl 0996.60088
Bojdecki, Tomasz; Gorostiza, Luis G.
2002
A nuclear space of distributions on Wiener space and application to weak convergence. Zbl 0820.46043
Bojdecki, T.; Gorostiza, L. G.
1994
The Skorohod integral in conuclear spaces. Zbl 0779.60049
Bojdecki, Tomasz; Jakubowski, Jacek
1993
The Girsanov theorem and weak solutions of stochastic differential equations in the dual of a nuclear space. Zbl 0743.60008
Bojdecki, Tomasz; Jakubowski, Jacek
1991
Trajectorial fluctuations and time-localization of Cox systems of independent motions. Zbl 0999.60036
Bojdecki, Tomasz; Gorostiza, Luis G.
2001
Self-intersection local time for Gaussian $${\mathcal S}'$$-processes, and application to fluctuation limits of branching particle systems. Zbl 0862.60032
Bojdecki, Tomasz; Gorostiza, Luis G.
1996
A note on the optimal stopping of sums of independent random variables. Zbl 0367.60045
Bojdecki, Tomasz
1977
Analytic approach to semiclassical logarithmic potential theory. Zbl 0242.31001
Bojdecki, T.
1970
From intersection local time to the Rosenblatt process. Zbl 1346.60135
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2015
Oscillatory fractional Brownian motion. Zbl 1311.60043
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2013
Particle picture interpretation of some Gaussian processes related to fractional Brownian motion. Zbl 1242.60036
Bojdecki, Tomasz; Talarczyk, Anna
2012
Number variance for hierarchical random walks and related fluctuations. Zbl 1244.60047
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2011
Particle systems with quasi-homogeneous initial states and their occupation time fluctuations. Zbl 1226.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2010
Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses. Zbl 1190.60080
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2009
Occupation time limits of inhomogeneous Poisson systems of independent particles. Zbl 1139.60316
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2008
Self-similar stable processes arising from high-density limits of occupation times of particle systems. Zbl 1143.60314
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2008
Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Zbl 1128.60025
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2007
A long range dependence stable process and an infinite variance branching system. Zbl 1121.60028
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2007
Occupation time fluctuations of an infinite-variance branching system in large dimensions. Zbl 1193.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2007
Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence. Zbl 1082.60024
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2006
Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions. Zbl 1089.60021
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2006
Particle picture approach to the self-intersection local time of density processes in $$\mathcal S^{\prime}(\mathbb R^d)$$. Zbl 1075.60098
Bojdecki, Tomasz; Talarczyk, Anna
2005
Sub-fractional Brownian motion and its relation to occupation times. Zbl 1076.60027
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2004
Fractional Brownian density process and its self-intersection local time of order $$k$$. Zbl 1074.60047
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
2004
Time-localization of random distributions on Wiener space. II: Convergence, fractional Brownian density processes. Zbl 1005.60064
Bojdecki, Tomasz; Gorostiza, Luis G.
2002
Self-intersection local time for $$S'({\mathbb R}^d)$$-Ornstein-Uhlenbeck processes arising from immigration systems. Zbl 0996.60088
Bojdecki, Tomasz; Gorostiza, Luis G.
2002
Self-intersection local time for some $${\mathcal S}'(\mathbb{R}^d)$$-Ornstein-Uhlenbeck processes related to inhomogeneous fields. Zbl 0988.60072
Bojdecki, Tomasz; Gorostiza, Luis G.
2001
Trajectorial fluctuations and time-localization of Cox systems of independent motions. Zbl 0999.60036
Bojdecki, Tomasz; Gorostiza, Luis G.
2001
Self-intersection local time for $$S^1(\mathbb R^d)$$-Wiener processes and related Ornstein-Uhlenbeck processes. Zbl 1043.60508
Bojdecki, Tomasz; Gorostiza, Luis G.
1999
Fractional Brownian motion via fractional Laplacian. Zbl 0941.60067
Bojdecki, Tomasz; Gorostiza, Luis G.
1999
Invariant measures for generalized Langevin equations in conuclear spaces. Zbl 0997.60067
Bojdecki, Tomasz; Jakubowski, Jacek
1999
Time-localization of random distributions on Wiener space. Zbl 0874.60042
Bojdecki, Tomasz; Gorostiza, Luis G.; Nualart, David
1997
Self-intersection local time for Gaussian $${\mathcal S}'$$-processes, and application to fluctuation limits of branching particle systems. Zbl 0862.60032
Bojdecki, Tomasz; Gorostiza, Luis G.
1996
Self-intersection local time for Gaussian $${\mathcal S}'(\mathbb{R} ^ d)$$-processes: Existence, path continuity and examples. Zbl 0853.60035
Bojdecki, Tomasz; Gorostiza, Luis G.
1995
A nuclear space of distributions on Wiener space and application to weak convergence. Zbl 0820.46043
Bojdecki, T.; Gorostiza, L. G.
1994
The Skorohod integral in conuclear spaces. Zbl 0779.60049
Bojdecki, Tomasz; Jakubowski, Jacek
1993
Gaussian and non-Gaussian distribution-valued Ornstein-Uhlenbeck processes. Zbl 0753.60037
Bojdecki, Tomasz; Gorostiza, Luis G.
1991
The Girsanov theorem and weak solutions of stochastic differential equations in the dual of a nuclear space. Zbl 0743.60008
Bojdecki, Tomasz; Jakubowski, Jacek
1991
Stochastic integration for inhomogeneous Wiener process in the dual of a nuclear space. Zbl 0716.60056
Bojdecki, Tomasz; Jakubowski, Jacek
1990
Ito stochastic integral in the dual of a nuclear space. Zbl 0692.60042
Bojdecki, Tomasz; Jakubowski, Jacek
1989
Stochastic integral with respect to a generalized Wiener process in a conuclear space. Zbl 0693.60043
Bojdecki, Tomasz; Jakubowski, Jacek
1989
Inhomogeneous infinite dimensional Langevin equations. Zbl 0637.60076
Bojdecki, Tomasz; Gorostiza, Luis G.
1988
Langevin equations for S’-valued Gaussian processes and fluctuation limits of infinite particle systems. Zbl 0595.60096
Bojdecki, Tomasz; Gorostiza, Luis G.
1986
Convergence of $${\mathcal S}'$$-valued processes and space-time random fields. Zbl 0589.46027
Bojdecki, T.; Gorostiza, L. G.; Ramaswamy, S.
1986
On a generalized disorder problem. Zbl 0549.60038
Bojdecki, Tomasz; Hosza, Jerzy
1984
Probability maximizing approach to optimal stopping and its application to a disorder problem. Zbl 0432.60051
Bojdecki, Tomasz
1979
On optimal stopping of a sequence of independent random variables- probability maximizing approach. Zbl 0374.60088
Bojdecki, Tomasz
1978
On optimal stopping of independent random variables appearing according to a renewal process, with random time horizon. Zbl 0449.60032
Bojdecki, Tomasz
1977
A note on the optimal stopping of sums of independent random variables. Zbl 0367.60045
Bojdecki, Tomasz
1977
Analytic approach to semiclassical logarithmic potential theory. Zbl 0242.31001
Bojdecki, T.
1970
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#### Cited by 203 Authors

 29 Gorostiza, Luis G. 27 Bojdecki, Tomasz 16 Talarczyk, Anna 12 Yan, Litan 9 Shen, Guangjun 8 Tudor, Constantin 7 Jakubowski, Jacek 7 Li, Yuqiang 7 Prakasa Rao, B. L. S. 5 Dawson, Donald Andrew 5 Fonseca-Mora, Christian A. 5 Liu, Junfeng 5 Szajowski, Krzysztof J. 4 Nualart, David 3 Cang, Yuquan 3 Chen, Chao 3 Fernández, Begoña Fernández 3 Harnett, Daniel 3 Kuang, Nenghui 3 Kubilius, Kȩstutis 3 Li, Zenghu 3 López-Mimbela, José Alfredo 3 Miłoś, piotr 3 Mishura, Yuliya Stepanivna 3 Norvaiša, Rimas 3 Peszat, Szymon 3 Ren, Yanxia 2 Ait Ouahra, Mohamed 2 Ayache, Antoine 2 Chen, Qin 2 Ferenstein, Elżbieta Z. 2 Gnedin, Alexander V. 2 Gonçalves, Daniel 2 Karunamuni, Rohana J. 2 Liu, Bingquan 2 Lu, Hong 2 Lu, Shujuan 2 Malukas, Raimondas 2 Mendy, Ibrahima 2 Moustakides, George V. 2 Pelkowitz, Lionel 2 Peng, Zhihang 2 Porosiński, Zdzisław 2 Ralchenko, Kostiantyn V. 2 Rao, Bhagavatula Lakshmi Surya Prakasa 2 Royer, Danilo 2 Sarnowski, Wojciech 2 Schaumlöffel, Kay-Uwe 2 Skarupski, Marek 2 Song, Renming 2 Sun, Hongyan 2 Sun, Xichao 2 Tang, Donglei 2 Tudor, Maria 2 Wang, Zhi 2 Xiao, Yimin 2 Yoshida, Minoru W. 2 Zhang, Mei 2 Zhang, Mingji 2 Zhang, Rui 2 Zili, Mounir 1 Aguilar-Ortiz, Jaime 1 Allognissode, Fulbert Kuessi 1 Barczy, Mátyás 1 Bardina, Xavier 1 Bascompte, David 1 Basseville, Michèle 1 Bates, Peter W. 1 Becker-Kern, Peter 1 Bendikov, Alexander D. 1 Biermé, Hermine 1 Birkner, Matthias 1 Borovkov, Konstantin A. 1 Bouchentouf, Amina Angelika 1 Cai, Chunhao 1 Cernuschi-Frias, Bruno 1 Cheng, Panhong 1 Chigansky, Pavel 1 Choudhuri, Debajyoti 1 Cygan, Wojciech 1 Dai, Hongshuai 1 Dakaou, Ibrahim 1 Dębicki, Krzysztof 1 Diop, Mamadou Abdoul 1 Dong, Yi 1 Duncan, Tyrone E. 1 Durieu, Olivier 1 El-Nouty, Charles 1 Es-Sebaiy, Khalifa 1 Esmili, Yassine 1 Ezzinbi, Khalil 1 Frisén, Marianne 1 Ghosh, Sekhar 1 Guerbaz, Raby 1 Gulisashvili, Archil 1 Hashorva, Enkelejd 1 He, Kun 1 Hermi, Lotfi 1 Hochberg, Kenneth J. 1 Hosza, Jerzy ...and 103 more Authors
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#### Cited in 86 Serials

 24 Stochastic Processes and their Applications 17 Statistics & Probability Letters 16 Stochastic Analysis and Applications 9 Journal of Theoretical Probability 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Journal of Mathematical Analysis and Applications 6 Journal of Multivariate Analysis 6 Stochastics and Dynamics 5 Applied Mathematics and Optimization 5 Sequential Analysis 5 Stochastics 4 Stochastics 4 The Annals of Probability 4 Communications in Statistics. Theory and Methods 4 Random Operators and Stochastic Equations 4 Science China. Mathematics 3 Lithuanian Mathematical Journal 3 Journal of Statistical Planning and Inference 3 Acta Applicandae Mathematicae 3 Abstract and Applied Analysis 3 Advances in Difference Equations 3 Journal of the Korean Statistical Society 2 The Annals of Statistics 2 Journal of Functional Analysis 2 Potential Analysis 2 Statistical Papers 2 Mathematical Methods of Operations Research 2 Acta Mathematica Sinica. English Series 2 Brazilian Journal of Probability and Statistics 1 Advances in Applied Probability 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Studia Mathematica 1 Annals of the Institute of Statistical Mathematics 1 Automatica 1 Collectanea Mathematica 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 International Statistical Review 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Advances in Applied Mathematics 1 Journal of Information & Optimization Sciences 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters 1 Optimization 1 Probability Theory and Related Fields 1 Publicacions Matemàtiques 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 The Annals of Applied Probability 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Indagationes Mathematicae. New Series 1 Applied Mathematics. Series B (English Edition) 1 Applied and Computational Harmonic Analysis 1 Annales Mathématiques Blaise Pascal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Journal of Probability 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Extremes 1 Methodology and Computing in Applied Probability 1 Nonlinear Analysis. Modelling and Control 1 Miscelánea Matemática 1 Stochastic Models 1 Central European Journal of Mathematics 1 Applications and Applied Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Frontiers of Mathematics in China 1 Journal of Statistical Theory and Practice 1 Algorithms 1 Advances in Mathematical Physics 1 Probability Surveys 1 International Journal of Stochastic Analysis 1 Journal of Spectral Theory 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 The Scientific World Journal. Probability and Statistics 1 Modern Stochastics. Theory and Applications
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#### Cited in 23 Fields

 199 Probability theory and stochastic processes (60-XX) 41 Statistics (62-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 5 Operations research, mathematical programming (90-XX) 4 Combinatorics (05-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)