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Author ID: sklar.abe Recent zbMATH articles by "Sklar, Abe"
Published as: Sklar, A.; Sklar, Abe
Homepage: https://science.iit.edu/people/faculty/abe-sklar
External Links: MGP · Wikidata · IdRef
Documents Indexed: 55 Publications since 1952, including 2 Books
1 Contribution as Editor · 2 Further Contributions
Biographic References: 2 Publications
Co-Authors: 24 Co-Authors with 49 Joint Publications
510 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 2,434 times in 1,833 Documents Cited by Year
Probabilistic metric spaces. Zbl 0546.60010
Schweizer, B.; Sklar, A.
1983
Statistical metric spaces. Zbl 0091.29801
Schweizer, B.; Sklar, A.
528
1960
Associative functions and abstract semigroup. Zbl 0119.14001
Schweizer, B.; Sklar, A.
154
1964
Associative functions and statistical triangle inequalities. Zbl 0107.12203
Schweizer, B.; Sklar, A.
120
1961
The metrization of statistical metric spaces. Zbl 0096.33203
Schweizer, B.; Sklar, A.; Thorp, E.
85
1960
Random variables, joint distribution functions, and copulas. Zbl 0292.60036
Sklar, Abe
81
1973
On the definition of a probabilistic normed space. Zbl 0792.46062
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
72
1993
Continuity properties of probabilistic norms. Zbl 0903.46075
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
46
1997
Operations on distribution functions not derivable from operations on random variables. Zbl 0292.60035
Schweizer, B.; Sklar, A.
32
1974
Function systems. Zbl 0163.01403
Schweizer, B.; Sklar, A.
28
1967
The algebra of functions. Zbl 0095.10101
Schweizer, B.; Sklar, A.
27
1960
Distributional (and other) chaos and its measurement. Zbl 1012.37022
Schweizer, B.; Sklar, A.; Smítal, J.
26
2001
When is \(f(f(z))=az^2+bz+c\)? Zbl 0441.30033
Rice, R. E.; Schweizer, B.; Sklar, A.
21
1980
Espaces métriques aléatoires. Zbl 0085.12503
Schweizer, Berthold; Sklar, Abe
20
1958
Distributional chaos on compact metric spaces via specification properties. Zbl 1060.37012
Sklar, A.; Smítal, J.
16
2000
The algebra of functions. II. Zbl 0099.31901
Schweizer, B.; Sklar, A.
15
1961
The algebra of functions. III. Zbl 0134.12602
Schweizer, B.; Sklar, A.
15
1965
Triangle inequalities in a class of statistical metric spaces. Zbl 0136.39301
Schweizer, B.; Sklar, A.
13
1963
On the definition of a probabilistic inner product space. Zbl 0945.46012
Alsina, Claudi; Schweizer, B.; Sempi, C.; Sklar, Abe
10
1997
A mapping-algebra with infinitely many operations. Zbl 0103.24903
Schweizer, B.; Sklar, A.
7
1962
Generalized specification property and distributional chaos. Zbl 1056.37006
Balibrea, F.; Schweizer, B.; Sklar, A.; Smítal, J.
7
2003
Statistical metric spaces arising from sets of random variables in Euclidean n-spaces. Zbl 0118.12901
Schweizer, B.; Sklar, A.
7
1963
Inequalities among operations on probability distribution functions. Zbl 0383.60021
Moynihan, R.; Schweizer, B.; Sklar, A.
7
1978
Mixing transformations on metric spaces. Zbl 0269.28005
Erber, T.; Schweizer, B.; Sklar, A.
6
1973
The algebra of mulitplace vector-valued functions. Zbl 0217.01703
Schweizer, B.; Sklar, A.
5
1967
Probabilistic metric spaces. Reprint of the 1983 ed., updated with 3 new appendixes. Zbl 1231.60008
Schweitzer, Berthold; Sklar, Abe
5
2012
On the factorization of squarefree integers. Zbl 0047.04403
Sklar, Abe
5
1952
A characterization of continuous associative operations whose graphs are ruled surfaces. Zbl 0625.39008
Alsina, Claudi; Sklar, Abe
4
1987
Mesures aléatoires de l’information. Zbl 0186.53302
Schweizer, B.; Sklar, A.
4
1969
Reminiscences of the Vienna circle and the mathematical colloquium. Edited and with an introduction by Louise Golland, Brian McGuinness and Abe Sklar. Zbl 0961.01031
Menger, Karl
4
1994
The approximate functional equation of Hecke’s Dirichlet series. Zbl 0079.05901
Apostol, T. M.; Sklar, Abe
4
1957
Probabilistic metric spaces determined by measure preserving transformations. Zbl 0259.60004
Schweizer, B.; Sklar, A.
3
1973
On probabilistic metrics and numerical metrics with probability. I. Zbl 0144.39502
Menger, K.; Schweizer, B.; Sklar, A.
3
1959
A grammar of functions. Zbl 0164.33502
Schweizer, B.; Sklar, A.
3
1968
Canonical decompositions, stable functions, and fractional iterates. Zbl 0181.16101
Sklar, A.
3
1969
Mesure aléatoire de l’information et mesure de l’information par un ensemble d’observateurs. Zbl 0211.51301
Schweizer, B.; Sklar, A.
3
1971
Continuous functions that conjugate trapezoid functions. Zbl 0575.39004
Schweizer, B.; Sklar, A.
3
1985
Invariants and equivalence classes of polynomials under linear conjugacy. Zbl 0699.12034
Schweizer, Berthold; Sklar, Abe
2
1988
All trapezoid functions are conjugate. Zbl 0529.39005
Schweizer, B.; Sklar, A.
2
1983
Recurrence and dispersion under iteration of Cebysev polynomials. Zbl 0438.28016
Johnson, P.; Sklar, A.
2
1976
Probabilistic information spaces. Zbl 0484.94014
Schweizer, Berthold; Sklar, Abe
2
1978
The structure of one-dimensional flows with continuous trajectories. Zbl 0637.39006
Sklar, Abe
1
1987
A grammar of functions. II. Zbl 0179.03803
Schweizer, B.; Sklar, A.
1
1969
Polynomials and divided differences. Zbl 1092.39021
Riedel, Thomas; Sablik, Maciej; Sklar, Abe
1
2005
On certain dense sets of rationals, simultaneous Schröder and Böttcher equations, and characterizations of functions. Zbl 1033.39023
Sklar, Abe
1
2002
Probabilistic metric spaces. Reprint of the 1983 ed., updated with 3 new appendixes. Zbl 1231.60008
Schweitzer, Berthold; Sklar, Abe
5
2012
Polynomials and divided differences. Zbl 1092.39021
Riedel, Thomas; Sablik, Maciej; Sklar, Abe
1
2005
Generalized specification property and distributional chaos. Zbl 1056.37006
Balibrea, F.; Schweizer, B.; Sklar, A.; Smítal, J.
7
2003
On certain dense sets of rationals, simultaneous Schröder and Böttcher equations, and characterizations of functions. Zbl 1033.39023
Sklar, Abe
1
2002
Distributional (and other) chaos and its measurement. Zbl 1012.37022
Schweizer, B.; Sklar, A.; Smítal, J.
26
2001
Distributional chaos on compact metric spaces via specification properties. Zbl 1060.37012
Sklar, A.; Smítal, J.
16
2000
Continuity properties of probabilistic norms. Zbl 0903.46075
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
46
1997
On the definition of a probabilistic inner product space. Zbl 0945.46012
Alsina, Claudi; Schweizer, B.; Sempi, C.; Sklar, Abe
10
1997
Reminiscences of the Vienna circle and the mathematical colloquium. Edited and with an introduction by Louise Golland, Brian McGuinness and Abe Sklar. Zbl 0961.01031
Menger, Karl
4
1994
On the definition of a probabilistic normed space. Zbl 0792.46062
Alsina, Claudi; Schweizer, Berthold; Sklar, Abe
72
1993
Invariants and equivalence classes of polynomials under linear conjugacy. Zbl 0699.12034
Schweizer, Berthold; Sklar, Abe
2
1988
A characterization of continuous associative operations whose graphs are ruled surfaces. Zbl 0625.39008
Alsina, Claudi; Sklar, Abe
4
1987
The structure of one-dimensional flows with continuous trajectories. Zbl 0637.39006
Sklar, Abe
1
1987
Continuous functions that conjugate trapezoid functions. Zbl 0575.39004
Schweizer, B.; Sklar, A.
3
1985
Probabilistic metric spaces. Zbl 0546.60010
Schweizer, B.; Sklar, A.
1983
All trapezoid functions are conjugate. Zbl 0529.39005
Schweizer, B.; Sklar, A.
2
1983
When is \(f(f(z))=az^2+bz+c\)? Zbl 0441.30033
Rice, R. E.; Schweizer, B.; Sklar, A.
21
1980
Inequalities among operations on probability distribution functions. Zbl 0383.60021
Moynihan, R.; Schweizer, B.; Sklar, A.
7
1978
Probabilistic information spaces. Zbl 0484.94014
Schweizer, Berthold; Sklar, Abe
2
1978
Recurrence and dispersion under iteration of Cebysev polynomials. Zbl 0438.28016
Johnson, P.; Sklar, A.
2
1976
Operations on distribution functions not derivable from operations on random variables. Zbl 0292.60035
Schweizer, B.; Sklar, A.
32
1974
Random variables, joint distribution functions, and copulas. Zbl 0292.60036
Sklar, Abe
81
1973
Mixing transformations on metric spaces. Zbl 0269.28005
Erber, T.; Schweizer, B.; Sklar, A.
6
1973
Probabilistic metric spaces determined by measure preserving transformations. Zbl 0259.60004
Schweizer, B.; Sklar, A.
3
1973
Mesure aléatoire de l’information et mesure de l’information par un ensemble d’observateurs. Zbl 0211.51301
Schweizer, B.; Sklar, A.
3
1971
Mesures aléatoires de l’information. Zbl 0186.53302
Schweizer, B.; Sklar, A.
4
1969
Canonical decompositions, stable functions, and fractional iterates. Zbl 0181.16101
Sklar, A.
3
1969
A grammar of functions. II. Zbl 0179.03803
Schweizer, B.; Sklar, A.
1
1969
A grammar of functions. Zbl 0164.33502
Schweizer, B.; Sklar, A.
3
1968
Function systems. Zbl 0163.01403
Schweizer, B.; Sklar, A.
28
1967
The algebra of mulitplace vector-valued functions. Zbl 0217.01703
Schweizer, B.; Sklar, A.
5
1967
The algebra of functions. III. Zbl 0134.12602
Schweizer, B.; Sklar, A.
15
1965
Associative functions and abstract semigroup. Zbl 0119.14001
Schweizer, B.; Sklar, A.
154
1964
Triangle inequalities in a class of statistical metric spaces. Zbl 0136.39301
Schweizer, B.; Sklar, A.
13
1963
Statistical metric spaces arising from sets of random variables in Euclidean n-spaces. Zbl 0118.12901
Schweizer, B.; Sklar, A.
7
1963
A mapping-algebra with infinitely many operations. Zbl 0103.24903
Schweizer, B.; Sklar, A.
7
1962
Associative functions and statistical triangle inequalities. Zbl 0107.12203
Schweizer, B.; Sklar, A.
120
1961
The algebra of functions. II. Zbl 0099.31901
Schweizer, B.; Sklar, A.
15
1961
Statistical metric spaces. Zbl 0091.29801
Schweizer, B.; Sklar, A.
528
1960
The metrization of statistical metric spaces. Zbl 0096.33203
Schweizer, B.; Sklar, A.; Thorp, E.
85
1960
The algebra of functions. Zbl 0095.10101
Schweizer, B.; Sklar, A.
27
1960
On probabilistic metrics and numerical metrics with probability. I. Zbl 0144.39502
Menger, K.; Schweizer, B.; Sklar, A.
3
1959
Espaces métriques aléatoires. Zbl 0085.12503
Schweizer, Berthold; Sklar, Abe
20
1958
The approximate functional equation of Hecke’s Dirichlet series. Zbl 0079.05901
Apostol, T. M.; Sklar, Abe
4
1957
On the factorization of squarefree integers. Zbl 0047.04403
Sklar, Abe
5
1952
all top 5

Cited by 1,692 Authors

84 Mesiar, Radko
38 Klement, Erich Peter
34 De Baets, Bernard
34 Saadati, Reza
30 Cho, Yeol Je
28 Pap, Endre
27 Chang, Shih-Sen
27 Durante, Fabrizio
26 Romaguera Bonilla, Salvador
24 Miheţ, Dorel
24 Morsi, Nehad Nashaat
23 Hong, Dug Hun
22 Trillas, Enric
21 Alsina, Claudi
21 Sempi, Carlo
20 Schweizer, Berthold
19 Dubois, Didier
17 Höhle, Ulrich
17 Sklar, Abe
16 Fodor, János C.
16 Jäger, Gunther
16 Zhu, Chuanxi
15 Choudhury, Binayak Samadder
15 Gregori, Valentín
15 Guo, Tiexin
15 Kerre, Etienne E.
15 Prade, Henri M.
14 Saminger-Platz, Susanne
13 Fang, Jinxuan
13 Navara, Mirko
13 Park, Choonkil
13 Ur Rehman, Saif
13 Wu, Zhaoqi
13 Yager, Ronald R.
12 Calvo, Tomasa
12 Kolesárová, Anna
12 Lafuerza Guillén, Bernardo
12 Pedrycz, Witold
12 Quesada-Molina, José Juan
12 Úbeda-Flores, Manuel
11 Bedregal, Benjamín René Callejas
11 Imdad, Mohammad
11 Jenei, Sándor
11 Mesiarová-Zemánková, Andrea
10 Abbas, Mujahid
10 de la Sen, Manuel
10 Eshaghi Gordji, Madjid
10 Fernández-Sánchez, Juan
10 Mohiuddine, Syed Abdul
10 Ouyang, Yao
10 Recasens, Jordi
10 Rodríguez Lallena, José Antonio
10 Sanchis, Manuel
10 Sarkoci, Peter
10 Sintunavarat, Wutiphol
10 Zhang, Dexue
9 Çaylı, Gül Deniz
9 Chauhan, Sunny
9 Deschrijver, Glad
9 Gutiérrez García, Javier
9 Hashem, Khaled A.
9 Jung, Jong Soo
9 Kang, Shin Min
9 Kumam, Poom
9 Şençımen, Celaleddin
9 Šostak, Alexander P.
9 Stokes, Timothy E.
9 Vaezpour, Seyyed Mansour
9 Vetro, Calogero
8 Aşici, Emel
8 Bouzebda, Salim
8 Gopal, Dhananjay
8 Karaçal, Funda
8 Marichal, Jean-Luc
8 Nelsen, Roger B.
8 Roldán-López-de-Hierro, Antonio-Francisco
8 Saleem, Naeem
8 Sapena, Almanzor
8 Scarsini, Marco
8 Smítal, Jaroslav
7 Davvaz, Bijan
7 Ghaemi, Mohammad Bagher
7 Ghiselli Ricci, Roberto
7 Gupta, Vishal
7 Hussain, Nawab
7 Jackson, Marcel G.
7 Mayor, Gaspar
7 Montero, Javier
7 Nguyen, Hung Trung
7 Pehlivan, Serpil
7 Sen, Mausumi
7 Sessa, Salvatore
7 Taylor, Michael D.
7 Weber, Siegfried
7 Zhang, Weinian
6 Baczynski, Michal
6 Cubillo, Susana
6 De Meyer, Hans E.
6 Hadžić, Olga
6 Jacas, Joan
...and 1,592 more Authors
all top 5

Cited in 296 Serials

494 Fuzzy Sets and Systems
86 Information Sciences
60 Journal of Mathematical Analysis and Applications
53 Fixed Point Theory and Applications
48 International Journal of Approximate Reasoning
42 Kybernetika
38 Chaos, Solitons and Fractals
38 Aequationes Mathematicae
32 Journal of Inequalities and Applications
27 Journal of Function Spaces
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
23 Abstract and Applied Analysis
20 Applied Mathematics and Mechanics. (English Edition)
19 Journal of Multivariate Analysis
17 European Journal of Operational Research
16 International Journal of General Systems
15 Journal of Mathematics
14 Communications in Statistics. Theory and Methods
14 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
13 Topology and its Applications
13 Statistics & Probability Letters
13 Soft Computing
13 Dependence Modeling
12 Filomat
12 Iranian Journal of Fuzzy Systems
11 Acta Mathematica Hungarica
11 Journal of Nonlinear Science and Applications
10 International Journal of Intelligent Systems
10 Advances in Difference Equations
9 Computers & Mathematics with Applications
9 Applied Mathematics and Computation
9 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
9 Fuzzy Optimization and Decision Making
8 International Journal of Mathematics and Mathematical Sciences
8 Semigroup Forum
8 Insurance Mathematics & Economics
8 Computational Statistics and Data Analysis
8 Journal of Applied Mathematics
7 International Journal of Theoretical Physics
7 Mathematische Annalen
7 Mathematical Social Sciences
7 Applied Mathematics Letters
7 Communications in Statistics. Simulation and Computation
7 Boletim da Sociedade Paranaense de Matemática. Terceira Série
6 Czechoslovak Mathematical Journal
6 Journal of Applied Mathematics and Computing
6 Journal of Intelligent and Fuzzy Systems
6 Journal of Fixed Point Theory and Applications
6 Sahand Communications in Mathematical Analysis
6 AIMS Mathematics
5 Artificial Intelligence
5 Journal of Pure and Applied Algebra
5 Mathematica Slovaca
5 Science in China. Series A
5 Journal of Applied Non-Classical Logics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Journal of Algebra
4 Journal of Computational and Applied Mathematics
4 Kybernetes
4 Matematički Vesnik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Acta Applicandae Mathematicae
4 International Journal of Algebra and Computation
4 The Journal of Analysis
4 Journal of the Egyptian Mathematical Society
4 Journal of Mathematical Chemistry
4 Thai Journal of Mathematics
4 Statistical Methodology
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Afrika Matematika
4 Mathematical Sciences
4 Korean Journal of Mathematics
3 Bulletin of the Australian Mathematical Society
3 The Canadian Journal of Statistics
3 Communications in Algebra
3 Discrete Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Acta Mathematica Vietnamica
3 Annals of the Institute of Statistical Mathematics
3 Biometrics
3 Demonstratio Mathematica
3 Journal of Functional Analysis
3 Journal of Mathematical Psychology
3 Mathematische Nachrichten
3 Proceedings of the American Mathematical Society
3 Results in Mathematics
3 Computers & Operations Research
3 Mathematical and Computer Modelling
3 Annals of Operations Research
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Archive for Mathematical Logic
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Annals of Mathematics and Artificial Intelligence
3 Journal of Nonparametric Statistics
3 Novi Sad Journal of Mathematics
3 Acta Mathematica Sinica. English Series
3 ASTIN Bulletin
3 South East Asian Journal of Mathematics and Mathematical Sciences
3 Hacettepe Journal of Mathematics and Statistics
3 Journal of Function Spaces and Applications
...and 196 more Serials
all top 5

Cited in 50 Fields

563 General topology (54-XX)
500 Mathematical logic and foundations (03-XX)
221 Statistics (62-XX)
188 Functional analysis (46-XX)
183 Probability theory and stochastic processes (60-XX)
164 Operator theory (47-XX)
159 Computer science (68-XX)
123 Difference and functional equations (39-XX)
101 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
97 Order, lattices, ordered algebraic structures (06-XX)
93 Measure and integration (28-XX)
89 Real functions (26-XX)
55 Information and communication theory, circuits (94-XX)
52 Group theory and generalizations (20-XX)
49 Dynamical systems and ergodic theory (37-XX)
47 Sequences, series, summability (40-XX)
34 Operations research, mathematical programming (90-XX)
33 General algebraic systems (08-XX)
30 Category theory; homological algebra (18-XX)
18 Numerical analysis (65-XX)
17 Systems theory; control (93-XX)
14 Integral equations (45-XX)
11 Quantum theory (81-XX)
10 Associative rings and algebras (16-XX)
10 Approximations and expansions (41-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Combinatorics (05-XX)
8 Number theory (11-XX)
8 Ordinary differential equations (34-XX)
7 Topological groups, Lie groups (22-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Biology and other natural sciences (92-XX)
4 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
3 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 Convex and discrete geometry (52-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
2 Abstract harmonic analysis (43-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Geophysics (86-XX)

Citations by Year

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