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Author ID: burgin.mark Recent zbMATH articles by "Burgin, Mark"
Published as: Burgin, M. S.; Burgin, Mark; Burgin, M.
Further Spellings: Burgin, Mark Semënovich; Бургин Марк Семёнович
Homepage: https://www.math.ucla.edu/~mburgin/fl/cv.htm
External Links: MGP · Google Scholar · Math-Net.Ru · dblp · GND
all top 5

Serials

15 Integration: Mathematical Theory and Applications
12 Soviet Mathematics. Doklady
10 Uspekhi Matematicheskikh Nauk [N. S.]
8 Programming and Computer Software
7 Fuzzy Sets and Systems
5 Theoretical Computer Science
5 Teoriya Polugrupp i eë Prilozheniya
5 World Scientific Series in Information Studies
3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
3 Russian Mathematical Surveys
3 Cybernetics
3 Mathematics of the USSR, Sbornik
3 Cybernetics and Systems Analysis
3 Vychislitel’nye Sistemy
3 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
3 Theory and Applications of Mathematics & Computer Science
2 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
2 Mathematical Notes
2 Moscow University Mathematics Bulletin
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Transactions of the Moscow Mathematical Society
2 Trudy Moskovskogo Matematicheskogo Obshchestva
2 International Journal of Foundations of Computer Science
2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
2 Russian Academy of Sciences. Doklady. Mathematics
2 Discrete Dynamics in Nature and Society
2 Entropy
2 Journal of Computational Methods in Sciences and Engineering
2 International Journal of Pure and Applied Mathematics
2 Journal of Intelligent and Fuzzy Systems
2 Mathematics Research Developments
1 Discrete Applied Mathematics
1 Doklady Akademii Nauk BSSR
1 Rocky Mountain Journal of Mathematics
1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya
1 Mathematics of the USSR. Izvestiya
1 Soviet Mathematics
1 Mathematical Social Sciences
1 Complex Systems
1 Modern Logic
1 Automation and Remote Control
1 International Journal of Computer Mathematics
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Dopovidi Akademiï Nauk Ukraïni
1 Doklady Mathematics
1 Theory of Computing Systems
1 Positivity
1 Issledovanie Operatsiĭ i ASU
1 Fundamenta Informaticae
1 Journal of Dynamical Systems and Geometric Theories
1 Uporyadochennye Mnozhestva i Reshetki. Ordered Sets and Lattices
1 Annals of Fuzzy Sets, Fuzzy Logic and Fuzzy Systems
1 SpringerBriefs in Mathematics
all top 5

Fields

53 Computer science (68-XX)
35 Mathematical logic and foundations (03-XX)
29 General algebraic systems (08-XX)
20 Real functions (26-XX)
17 Category theory; homological algebra (18-XX)
16 Functional analysis (46-XX)
14 Measure and integration (28-XX)
12 General and overarching topics; collections (00-XX)
6 Group theory and generalizations (20-XX)
6 General topology (54-XX)
6 Probability theory and stochastic processes (60-XX)
6 Information and communication theory, circuits (94-XX)
5 Associative rings and algebras (16-XX)
5 Nonassociative rings and algebras (17-XX)
5 Topological groups, Lie groups (22-XX)
5 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Sequences, series, summability (40-XX)
3 Operator theory (47-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Partial differential equations (35-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Numerical analysis (65-XX)
1 Combinatorics (05-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 159 times in 112 Documents Cited by Year
Theory of fuzzy limits. Zbl 0960.26009
Burgin, Mark
24
2000
Neoclassical analysis: Fuzzy continuity and convergence. Zbl 0853.54007
Burgin, Mark
15
1995
Super-recursive algorithms. Zbl 1070.68038
Burgin, Mark
9
2005
Inductive Turing machines. Zbl 0578.03021
Burgin, M. S.
8
1983
Fuzzification of the theory of continuous functions. Zbl 0828.26015
Burgin, Mark; Šostak, Alexandr
7
1994
General approach to continuity measures. Zbl 0953.26007
Burgin, Mark
5
1999
Algorithmic complexity of recursive and inductive algorithms. Zbl 1072.68048
Burgin, Mark
5
2004
Universal limit Turing machines. Zbl 0795.03053
Burgin, M. S.
5
1992
Statistical fuzzy convergence. Zbl 1175.26064
Burgin, Mark; Duman, Oktay
4
2008
Linear \(\Omega\)-algebras. Zbl 0366.08005
Baranovic, T. M.; Burgin, M. S.
4
1975
Nichtklassische Modelle einer natürlichen Reihe. Zbl 0432.40002
Burgin, M. S.
4
1977
Categories with involution and correspondences in y-categories. Zbl 0242.18010
Burgin, M. S.
3
1972
Free topological groups and universal algebras. Zbl 0274.22002
Burgin, M. S.
3
1972
Gewisse Eigenschaften von Unteralgebren in Mannigfaltigkeiten linearer \(\Omega\)-Algebren. Zbl 0277.16011
Burgin, M. S.; Artamonov, V. A.
3
1972
Fuzzy conditional convergence and nearness relations. Zbl 1092.26021
Burgin, Mark; Kalina, Martin
3
2005
Generalized Kolmogorov complexity and other dual complexity measures. Zbl 0800.68507
Burgin, M. S.
3
1990
Operators of a multidimensional, structure-oriented, parallel-processing model. Zbl 0389.68013
Burgin, M. S.; Karasik, A. Yu.
3
1976
Infinite processes and superrecursive algorithms. Zbl 0800.68430
Burgin, M. S.; Borodyanskij, Yu. M.
3
1991
Theory of information. Fundamentality, diversity and unification. Zbl 1194.94171
Burgin, Mark
3
2010
Non-Diophantine arithmetics in mathematics, physics and psychology. Zbl 1452.00013
Burgin, Mark; Czachor, Marek
3
2021
The arithmetical hierarchy and inductive Turing machines. Zbl 0683.03022
Burgin, M. S.
2
1988
Algorithmic complexity as a criterion of unsolvability. Zbl 1124.68047
Burgin, Mark
2
2007
Information and computation. Essays on scientific and philosophical understanding of foundations of information and computation. Zbl 1221.00068
2
2011
Nonlinear phenomena in spaces of algorithms. Zbl 1100.68025
Burgin, M.
2
2003
The ”Freiheitssatz” in certain varieties of linear \(\Omega \)-algebras and \(\Omega \)-rings. (Ein Freiheitssatz in gewissen Mannigfaltigkeiten linearer \(\Omega\)-Algebren und \(\Omega\)-Ringe.) Zbl 0177.02701
Burgin, M. S.
2
1969
Kategorien mit Involution und Korrespondenzen in \(\gamma\)-Kategorien. Zbl 0237.18002
Burgin, M. S.
2
1970
Topological algebras with continuous systems of operations. Zbl 0293.08003
Burgin, M. S.
2
1973
Algorithmic approach to dynamic information theory. Zbl 0888.68069
Burgin, M. S.
2
1995
Generalized Kolmogorov complexity and duality in computational theory. Zbl 0511.03016
Burgin, M. S.
1
1982
Operations and compositions in transrecursive operators. Zbl 0836.68032
Burgin, M. S.; Borodyanskij, Yu. M.
1
1994
Operator composition in a multidimensional structurally oriented model of parallel computations and systems. Zbl 0562.68020
Burgin, M. S.
1
1983
Multiple computations and Kolmogorov complexity for such processes. Zbl 0565.68035
Burgin, M. S.
1
1983
Differential calculus for extrafunctions. Zbl 0893.26014
Burgin, M. S.
1
1993
Free subalgebras of topological algebras. Zbl 0359.22001
Burgin, M. S.
1
1976
Neoclassical analysis: calculus closer to the real world. Zbl 1209.26001
Burgin, Mark
1
2007
Preface: Super-recursive algorithms and hypercomputation. Zbl 1121.68300
Burgin, Mark; Klinger, Allen
1
2004
Experience, generations, and limits in machine learning. Zbl 1072.68049
Burgin, Mark; Klinger, Allen
1
2004
Fuzzy optimization of real functions. Zbl 1052.26025
Burgin, Mark
1
2004
\(\gamma\)-Kategorien und Kategorien mit Involution. Zbl 0186.02701
Burgin, M. S.
1
1969
Wreath products of linear \(\Omega\)-algebras. Zbl 0229.08007
Burgin, M. S.
1
1971
Correction to the paper ”The ’Freiheitssatz’ in certain varieties of linear \(\Omega\)-algebras and \(\Omega\)-rings”. Zbl 0235.08002
Burgin, M. S.
1
1970
Correspondence categories over semiabelian categories. Zbl 0251.18012
Burgin, M. S.
1
1969
Central extensions in \(\gamma\)-categories. Zbl 0292.18005
Burgin, M. S.
1
1972
Schreier varieties of linear \(\Omega\)-algebras. Zbl 0304.08002
Burgin, M. S.
1
1975
Cellular engineering. Zbl 1159.68484
Burgin, M.
1
2008
Algorithms and algorithmic problems. Zbl 0599.68035
Burgin, M. S.
1
1985
Inductive Turing machines with a multiple head and Kolmogorov algorithms. Zbl 0622.03029
Burgin, M. S.
1
1984
Operations over named sets. Zbl 0719.18003
Burgin, M. S.
1
1986
Hypermeasures and hyperintegration. Zbl 0737.46037
Burgin, M. S.
1
1990
Universality for Turing machines, inductive Turing machines and evolutionary algoirthms. Zbl 1191.68300
Burgin, Mark; Eberbach, Eugene
1
2009
Algebraic structures of multicardinal numbers. Zbl 0821.04002
Burgin, M. S.
1
1992
Semitopological vector spaces. Hypernorms, hyperseminorms, and operators. Zbl 1378.46002
Burgin, Mark
1
2017
Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031
Burgin, Mark; Duman, Oktay
1
2011
Theory of named sets. Zbl 1353.03001
Burgin, Mark
1
2011
Non-Diophantine arithmetics in mathematics, physics and psychology. Zbl 1452.00013
Burgin, Mark; Czachor, Marek
3
2021
Semitopological vector spaces. Hypernorms, hyperseminorms, and operators. Zbl 1378.46002
Burgin, Mark
1
2017
Information and computation. Essays on scientific and philosophical understanding of foundations of information and computation. Zbl 1221.00068
2
2011
Approximations by linear operators in spaces of fuzzy continuous functions. Zbl 1222.41031
Burgin, Mark; Duman, Oktay
1
2011
Theory of named sets. Zbl 1353.03001
Burgin, Mark
1
2011
Theory of information. Fundamentality, diversity and unification. Zbl 1194.94171
Burgin, Mark
3
2010
Universality for Turing machines, inductive Turing machines and evolutionary algoirthms. Zbl 1191.68300
Burgin, Mark; Eberbach, Eugene
1
2009
Statistical fuzzy convergence. Zbl 1175.26064
Burgin, Mark; Duman, Oktay
4
2008
Cellular engineering. Zbl 1159.68484
Burgin, M.
1
2008
Algorithmic complexity as a criterion of unsolvability. Zbl 1124.68047
Burgin, Mark
2
2007
Neoclassical analysis: calculus closer to the real world. Zbl 1209.26001
Burgin, Mark
1
2007
Super-recursive algorithms. Zbl 1070.68038
Burgin, Mark
9
2005
Fuzzy conditional convergence and nearness relations. Zbl 1092.26021
Burgin, Mark; Kalina, Martin
3
2005
Algorithmic complexity of recursive and inductive algorithms. Zbl 1072.68048
Burgin, Mark
5
2004
Preface: Super-recursive algorithms and hypercomputation. Zbl 1121.68300
Burgin, Mark; Klinger, Allen
1
2004
Experience, generations, and limits in machine learning. Zbl 1072.68049
Burgin, Mark; Klinger, Allen
1
2004
Fuzzy optimization of real functions. Zbl 1052.26025
Burgin, Mark
1
2004
Nonlinear phenomena in spaces of algorithms. Zbl 1100.68025
Burgin, M.
2
2003
Theory of fuzzy limits. Zbl 0960.26009
Burgin, Mark
24
2000
General approach to continuity measures. Zbl 0953.26007
Burgin, Mark
5
1999
Neoclassical analysis: Fuzzy continuity and convergence. Zbl 0853.54007
Burgin, Mark
15
1995
Algorithmic approach to dynamic information theory. Zbl 0888.68069
Burgin, M. S.
2
1995
Fuzzification of the theory of continuous functions. Zbl 0828.26015
Burgin, Mark; Šostak, Alexandr
7
1994
Operations and compositions in transrecursive operators. Zbl 0836.68032
Burgin, M. S.; Borodyanskij, Yu. M.
1
1994
Differential calculus for extrafunctions. Zbl 0893.26014
Burgin, M. S.
1
1993
Universal limit Turing machines. Zbl 0795.03053
Burgin, M. S.
5
1992
Algebraic structures of multicardinal numbers. Zbl 0821.04002
Burgin, M. S.
1
1992
Infinite processes and superrecursive algorithms. Zbl 0800.68430
Burgin, M. S.; Borodyanskij, Yu. M.
3
1991
Generalized Kolmogorov complexity and other dual complexity measures. Zbl 0800.68507
Burgin, M. S.
3
1990
Hypermeasures and hyperintegration. Zbl 0737.46037
Burgin, M. S.
1
1990
The arithmetical hierarchy and inductive Turing machines. Zbl 0683.03022
Burgin, M. S.
2
1988
Operations over named sets. Zbl 0719.18003
Burgin, M. S.
1
1986
Algorithms and algorithmic problems. Zbl 0599.68035
Burgin, M. S.
1
1985
Inductive Turing machines with a multiple head and Kolmogorov algorithms. Zbl 0622.03029
Burgin, M. S.
1
1984
Inductive Turing machines. Zbl 0578.03021
Burgin, M. S.
8
1983
Operator composition in a multidimensional structurally oriented model of parallel computations and systems. Zbl 0562.68020
Burgin, M. S.
1
1983
Multiple computations and Kolmogorov complexity for such processes. Zbl 0565.68035
Burgin, M. S.
1
1983
Generalized Kolmogorov complexity and duality in computational theory. Zbl 0511.03016
Burgin, M. S.
1
1982
Nichtklassische Modelle einer natürlichen Reihe. Zbl 0432.40002
Burgin, M. S.
4
1977
Operators of a multidimensional, structure-oriented, parallel-processing model. Zbl 0389.68013
Burgin, M. S.; Karasik, A. Yu.
3
1976
Free subalgebras of topological algebras. Zbl 0359.22001
Burgin, M. S.
1
1976
Linear \(\Omega\)-algebras. Zbl 0366.08005
Baranovic, T. M.; Burgin, M. S.
4
1975
Schreier varieties of linear \(\Omega\)-algebras. Zbl 0304.08002
Burgin, M. S.
1
1975
Topological algebras with continuous systems of operations. Zbl 0293.08003
Burgin, M. S.
2
1973
Categories with involution and correspondences in y-categories. Zbl 0242.18010
Burgin, M. S.
3
1972
Free topological groups and universal algebras. Zbl 0274.22002
Burgin, M. S.
3
1972
Gewisse Eigenschaften von Unteralgebren in Mannigfaltigkeiten linearer \(\Omega\)-Algebren. Zbl 0277.16011
Burgin, M. S.; Artamonov, V. A.
3
1972
Central extensions in \(\gamma\)-categories. Zbl 0292.18005
Burgin, M. S.
1
1972
Wreath products of linear \(\Omega\)-algebras. Zbl 0229.08007
Burgin, M. S.
1
1971
Kategorien mit Involution und Korrespondenzen in \(\gamma\)-Kategorien. Zbl 0237.18002
Burgin, M. S.
2
1970
Correction to the paper ”The ’Freiheitssatz’ in certain varieties of linear \(\Omega\)-algebras and \(\Omega\)-rings”. Zbl 0235.08002
Burgin, M. S.
1
1970
The ”Freiheitssatz” in certain varieties of linear \(\Omega \)-algebras and \(\Omega \)-rings. (Ein Freiheitssatz in gewissen Mannigfaltigkeiten linearer \(\Omega\)-Algebren und \(\Omega\)-Ringe.) Zbl 0177.02701
Burgin, M. S.
2
1969
\(\gamma\)-Kategorien und Kategorien mit Involution. Zbl 0186.02701
Burgin, M. S.
1
1969
Correspondence categories over semiabelian categories. Zbl 0251.18012
Burgin, M. S.
1
1969
all top 5

Cited by 128 Authors

28 Burgin, Mark
5 Altinok, Hifsi
4 Altin, Yavuz
4 Eberbach, Eugene
3 Bremner, Murray R.
3 Çolak, Rifat
3 Duman, Oktay
3 Et, Mikail
3 Kalina, Martin
2 Aytar, Salih
2 Bhardwaj, Vinod Kumar
2 Borodyanskiĭ, Yu. M.
2 Câmpeanu, Cezar
2 Czachor, Marek
2 Grandis, Marco
2 Karakaş, Abdulkadir
2 Klinger, Allen
2 Mišík, Ladislav jun.
2 Porst, Hans-Eberhard
2 Šostak, Alexander P.
2 Tóth, János T.
2 Wu, Congxin
2 Ziegler, Martin
1 Akl, Selim G.
1 Aliev, Rafik Aziz
1 Arkhangel’skiĭ, Aleksandr Vladimirovich
1 Artamonov, Vyacheslav Aleksandrovich
1 Aveni, Andrea
1 Bala, Indu
1 Balan, Vladimir
1 Baranovich, T. M.
1 Beiranvand, Ali
1 Block, Richard E.
1 Bokut, Leonid A.
1 Borceux, Francis
1 Bringsjord, Selmer
1 Broersma, Hajo J.
1 Calude, Cristian S.
1 Calude, Elena
1 Caprio, Michele
1 Chen, Yuqun
1 Choudhury, Chiranjib
1 Cleland, Carol E.
1 Copeland, B. Jack
1 Demirci, Kamil
1 Dini, Paolo
1 Dodig-Crnkovic, Gordana
1 Fields, Christopher A.
1 Gecit Akçay, Fatma
1 Glazebrook, James F.
1 Govindarajulu, Naveen Sundar
1 Griffing, Gary
1 Gupta, Bidyut
1 Gupta, Sandeep
1 Hančl, Jaroslav
1 Hentzel, Irvin Roy
1 Höhle, Ulrich
1 Hu, Zeying
1 Huseynov, Oleg H.
1 İlkhan, Merve
1 Ivaz, Karim
1 Jin, Maoming
1 Kara, Emrah Evren
1 Karakus, Sevda
1 Khrennikov, Andreĭ Yur’evich
1 Kiliçman, Adem
1 Kışı, Ömer
1 Klimakov, A. V.
1 Konkoli, Zoran
1 Krýsl, Svatopluk
1 Kugel, Peter
1 Kumar, Kuldeep
1 Kumar, Vijay
1 Lebedinskii, M. M.
1 Lender, V. B.
1 Li, Fachao
1 Li, Hong-gang
1 Lin, Zongbing
1 MacLennan, Bruce J.
1 Malykhin, Vyacheslav Ivanovich
1 Mikhalëv, Aleksandr Vasil’evich
1 Mikhalëv, Aleksandr Aleksandrovich
1 Mo, Zhiwen
1 Mohiuddine, Syed Abdul
1 Mora, Fulvio
1 Mora, Teo
1 Mukherjee, Sayan
1 Mukhin, Yurii N.
1 Mursaleen, Mohammad
1 Nehaniv, Chrystopher Lev
1 Nichele, Stefano
1 Pap, Endre
1 Pathak, Ramesh Prasad
1 Pedrycz, Witold
1 Peyghan, Esmaeil
1 Ponomarev, Vladimir Ivanovich
1 Potgieter, Petrus H.
1 Qiu, Dong
1 Qiu, Jiqing
1 Queen, Melissa S.
...and 28 more Authors
all top 5

Cited in 49 Serials

13 Fuzzy Sets and Systems
12 Theoretical Computer Science
5 Journal of Soviet Mathematics
5 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
4 Soft Computing
3 Mathematical Notes
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Information Sciences
3 Journal of Algebra
3 International Journal of Foundations of Computer Science
3 Cybernetics and Systems Analysis
2 International Journal of Theoretical Physics
2 International Journal of Mathematics and Mathematical Sciences
2 Siberian Mathematical Journal
2 Journal of Mathematical Sciences (New York)
2 Filomat
2 Foundations of Science
2 Entropy
1 Applicable Analysis
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Algebra and Logic
1 Applied Mathematics and Computation
1 Demonstratio Mathematica
1 Journal of Pure and Applied Algebra
1 Rendiconti del Seminario Matematico della Università di Padova
1 Topology and its Applications
1 Cybernetics
1 Acta Mathematicae Applicatae Sinica
1 Mathematical Social Sciences
1 Journal of Symbolic Computation
1 Facta Universitatis. Series Mathematics and Informatics
1 International Journal of Approximate Reasoning
1 The Journal of Analysis
1 Complexity
1 Theory of Computing Systems
1 Positivity
1 Journal of Inequalities and Applications
1 Fundamenta Informaticae
1 Journal of Dynamical Systems and Geometric Theories
1 Journal of Intelligent and Fuzzy Systems
1 Hacettepe Journal of Mathematics and Statistics
1 Journal of Algebra and its Applications
1 Parallel Processing Letters
1 Involve
1 Bulletin of Mathematical Analysis and Applications
1 Advances in Mathematical Physics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications

Citations by Year