Abe Sklar | Academic Influence

Abe Sklar's AcademicInfluence.com Rankings

Abe Sklar

Mathematics

#1247

World Rank

#2087

Historical Rank

#520

USA Rank

Measure Theory

#2375

World Rank

#2839

Historical Rank

#673

USA Rank

mathematics Degrees

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Mathematics

Abe Sklar's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Abe Sklar Influential?

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According to Wikipedia, Abe Sklar was an American mathematician and a professor of applied mathematics at the Illinois Institute of Technology and the inventor of copulas in probability theory. Education and career Sklar was born in Chicago to Jewish parents who immigrated to the United States from Ukraine. He attended Von Steuben High School and later enrolled at the University of Chicago in 1942, when he was only 16. Sklar went on to become a student of Tom M. Apostol at the California Institute of Technology, where he earned his Ph.D. in 1956. His students at IIT have included geometers Clark Kimberling and Marjorie Senechal.

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Abe Sklar's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Statistical metric spaces. (1960) (1799)
Probabilistic Metric Spaces (2011) (1734)
Random variables, joint distribution functions, and copulas (1973) (638)
Random variables, distribution functions, and copulas---a personal look backward and forward (1996) (295)
On the definition of a probabilistic normed space (1992) (183)
The metrization of statistical metric spaces. (1960) (140)
Continuity Properties of Probabilistic Norms (1997) (126)
Operations on distribution functions not derivable from operations on random variables (1974) (112)
Reminiscences of the Vienna Circle and the Mathematical Colloquium (1994) (101)
Triangle Inequalities in a Class of Statistical Metric Spaces (1963) (56)
Distributional (and Other) Chaos and its Measurement (2000) (49)
When isf(f(z))=az2+bz+c? (1980) (43)
Associative functions and statistical triangle inequalities (2022) (38)
Distributional Chaos on Compact Metric Spaces via Specification Properties (2000) (32)
Function systems (1967) (30)
Statistical Metric Spaces Arising from Sets of Random Variables in Euclidean n-Space (1962) (27)
The algebra of functions (1960) (24)
Associative functions and abstract semigroups (2022) (21)
The algebra of functions. II (1961) (21)
Mixing transformations on metric spaces (1973) (17)
The approximate functional equation of Hecke’s Dirichlet series (1957) (16)
ON THE FACTORIZATION OF SQUAREFREE INTEGERS (1952) (14)
Generalized Specification Property and Distributional Chaos (2003) (14)
The algebra of functions. III (1965) (12)
Inequalities Among Operations on Probability Distribution Functions (1978) (10)
Probability distributions with given margins: Note on a paper by Finch and Groblicki (1986) (10)
Probabilistic metric spaces determined by measure preserving transformations (1973) (9)
Probabilistic metric spaces and hysteresis systems (1971) (9)
A grammar of functions (1969) (9)
Recurrence and dispersion under iteration of Čebyšev polynomials (1976) (9)
A characterization of continuous associative operations whose graphs are ruled surfaces (1987) (8)
You Will Like Geometry (2003) (8)
A mapping-algebra with infinitely many operations (1962) (7)
On Category Overlapping in Taxonomy (1964) (7)
Canonical decompositions, stable functions, and fractional iterates (1969) (7)
Continuous functions that conjugate trapezoid functions (1985) (7)
The algebra of multiplace vector-valued functions (1967) (6)
The baker's transformation is not embeddable (1990) (4)
Polynomials and divided differences (2005) (2)
How to Derive all LP — Metrics from a Single Probabilistic Metric (1980) (2)
On certain dense sets of rationals, simultaneous Schröder and Böttcher equations, and characterizations of functions (2002) (2)
Inequalities for the Confluent Hypergeometric Function (1963) (1)
Selecta Mathematica : Volume 2 (2003) (1)
Canonical decompositions, stable functions, and fractional iterates (1969) (1)
On Generalized Probabilistic 2-normed Spaces (2006) (1)
Topology and Tchebycheff (1961) (1)
The Axiomatic Characterization of Functions (1977) (1)
On the Definition of the Riemann Integral (1960) (1)
Calculus — A Modern Approach (2003) (0)
The cycle theorem for flows (1984) (0)
Summation formulas associated with a class of Dirichlet series (1956) (0)
THE APPROXIMATE FUNCTIONAL EQUATION OF (2016) (0)
Commentary on Didactics, Variables, Fluents (2003) (0)
On the definition of a probabilistic normed space (1992) (0)
A grammar of functions (1969) (0)
AND COPULAS - A PERSONAL LOOK (2008) (0)
A grammar of functions (1969) (0)
ON THE CONVERGENCE OF ITERATED EXPONENTIATION — 11 * (2010) (0)
Dispersion Under Iteration of Strongly Mixing Transformations on Metric Spaces (2015) (0)
Review: György Targonski, Topics in iteration theory (1983) (0)
Commentary on the Algebra of Analysis and Algebra of Functions (2003) (0)
Introduction to the Sixth American Edition, 1960 (2003) (0)
On some unexpected theoretical and practical applications of functional equations (1984) (0)
A Problem Concerning Special Functions (1984) (0)

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