Andrew M. Bruckner

Andrew M. Bruckner's AcademicInfluence.com Rankings

Andrew M. Bruckner

Mathematics

#6276

World Rank

#8723

Historical Rank

#1920

USA Rank

Measure Theory

#3234

World Rank

#3823

Historical Rank

#937

USA Rank

mathematics Degrees

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Mathematics

Why Is Andrew M. Bruckner Influential?

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According to Wikipedia, Andrew Michael Bruckner is an American retired mathematician, known for his contributions to real analysis. He got his PhD in mathematics from University of California, Los Angeles on the dissertation Minimal Superadditive Extensions of Superadditive Functions advised by John Green . He joined the faculty at University of California, Santa Barbara. The "Andy Award" is given annually in his name, to significant contributors to real analysis.

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Andrew M. Bruckner'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

Differentiation of real functions (1978) (416)
SOME FUNCTION CLASSES RELATED TO THE CLASS OF CONVEX FUNCTIONS (1962) (107)
THE SPACE OF OMEGA -LIMIT SETS OF A CONTINUOUS MAP OF THE INTERVAL (1996) (58)
Generalization of the equivalent linearization method for non-linear random vibration problems (1987) (50)
Chaos in terms of the map x → ω(x,f) (1992) (49)
Elementary Real Analysis (1991) (49)
Differentiation of integrals (1971) (48)
On scrambled sets for chaotic functions (1987) (46)
The level structure of a residual set of continuous functions (1977) (43)
Minimal superadditive extensions of superadditive functions (1960) (42)
Path derivatives: a unified view of certain generalized derivatives (1984) (36)
A characterization of ω-limit sets of maps of the interval with zero topological entropy (1993) (35)
Dynamics of Typical Continuous Functions (1989) (32)
On _{} sets, the Hausdorff metric, and connectedness (1962) (27)
Uniform limits of Darboux functions (1966) (27)
DARBOUX TRANSFORMATIONS (2010) (25)
ON THE RELATIVE STRENGTH OF TWO ABSOLUTE SUMMABILITY METHODS (2010) (24)
The Lipschitz structure of continuous self-maps of generic compact sets (1994) (24)
Tests for superadditivity of functions (1962) (21)
Convexity conditions and intersections with smooth functions (1985) (20)
Generalized convex kernels (1964) (19)
Differentiability through change of variables (1976) (18)
The structure of $\omega$-limit sets for continuous maps of the interval (1992) (18)
The minimal integral which includes Lebesgue integrable functions and derivatives (1986) (18)
Some typical results on bounded Baire 1 functions (1984) (18)
Application of complex stochastic averaging to non-linear random vibration problems (1987) (15)
ON THE DIFFERENTIABILITY STRUCTURE OF REAL FUNCTIONS (1969) (15)
DENSITY-PRESERVING HOMEOMORPHISMS AND A THEOREM OF MAXIMOFF (1970) (15)
Representations of functions by derivatives (1981) (14)
Some aspects of products of derivatives (1992) (12)
On Characterizing Classes of Functions in Terms of Associated Sets (1967) (11)
An affirmative answer to a problem of Zahorski, and some consequences. (1966) (9)
The problem of characterizing derivatives revisited (1995) (9)
The problem of characterizing derivatives (1978) (8)
Conditional Correlation Phenomena with Applications to University Admission Strategies (1983) (8)
Creating Differentiability and Destroying Derivatives (1978) (7)
A theorem on approximate directional derivatives (1968) (7)
Darboux functions in the first class of Baire (1978) (7)
On jumping functions by connected sets (1972) (7)
Some relationships between locally superadditive functions and convex functions (1964) (7)
The Darboux property and solutions of algebraic differential equations. (1985) (5)
On Differentiable Functions having an Everywhere Dense set of Intervals of Constancy (1965) (5)
Strong porosity features of typical continuous functions (1985) (5)
On the sum of Darboux functions (1975) (4)
A Note on Measures Determined by Continuous Functions (1972) (4)
Real Variable Contributions of G. C. Young and W. H. Young (2001) (4)
STATIONARY SETS AND DETERMINING SETS FOR CERTAIN CLASSES OF DARBOUX FUNCTIONS (1965) (4)
On topologizing measure spaces via differentiation bases (1969) (4)
Asymptotic conditional correlation coefficients for truncated data (1984) (3)
Some Relationships Between Locally Super-Additive Functions and Convex Functions (1964) (3)
On approximate identities in abstract, measure spaces (1970) (3)
Functions with convex means. (1964) (3)
Porosity and Approximate Derivatives (1986) (3)
Some Remarks on Extreme Derivates (1969) (2)
On the insertion of Darboux, Baire-one functions (1973) (2)
Real Variable Contributions of G . C . Young (2005) (2)
A Note on End-Sets (1971) (2)
Differentiability a.e. and approximate differentiability a.e (1977) (2)
Transformations into Baire 1 functions (1977) (2)
The equationuxuy=0 factors (1991) (1)
Stationary sets for certain classes of derivates of Darboux functions. (1964) (1)
A category analogue of a theorem on metric density (1972) (1)
Derivatives: Why They Elude Classification (1976) (1)
On a problem of S. Marcus concerning quasi-Darboux functions (1973) (1)
The extreme derivatives of a function (1994) (1)
On transformations of derivatives (1975) (1)
Some Nonequivalent Definitions of Inflection Points (1962) (1)
On the differentiation of integrals in euclidean spaces (1970) (1)
Transformations via homeomorphisms (1978) (1)
The uniform closure of certain classes of open functions (1967) (1)
The Differentiability Properties of Typical Functions in C [ a, b ] (1973) (1)
Memories about Solomon Marcus (2018) (0)
Path derivatives and growth control (1984) (0)
Recollections of Working With Caspar Goffman (2007) (0)
Can One Visualize a Continuous Nowhere Differentiable Function? (2023) (0)
The Differentiability Properties of Typical Functions in C [a, b] (1973) (0)
On a special class of Darboux Baire 1 functions (1983) (0)
ON NONCONTINUOUS CHAOTIC FUNCTIONS jack ceder (2010) (0)
Null sets for algebraic differential equations (1990) (0)
The Zahorski classes (1978) (0)
SOME RELATIONSHIPS BETWEEN LOCALLY SUPER-ADDITIVE FUNCTIONS AND CONVEX FUNCTIONS 1 (2010) (0)
A theorem on monotonicity and a solution to a problem of Zahorski (1965) (0)
The essential boundary of certain sets (1986) (0)
On the Minkowski Sum of Two Curves (2018) (0)
Behavior of typical continuous functions (1978) (0)
On everywhere convergence of sequences of convolution kernels (1971) (0)
Derivatives a.e. and generalizations (1978) (0)
Correspondence beche-de-mer Correspondence beche-de-mer (2002) (0)
A Note on Convex Polygons Inscribed in Open Sets (1964) (0)
and detours around some pathological examples. (2016) (0)
Reconstruction of the primitive (1978) (0)
EQUICONTINUITY OF ITERATBS OF AN INTERVAL MAP (2021) (0)
The extreme derivates of a function (1978) (0)
Stationary and determining sets (1978) (0)
DIFFERENTIABILITY A.E. AND APPROXIMATE (2010) (0)
Applications of the Baire Category Theorem to Real Analysis (2003) (0)
The continuity structure of open finite-to-one functions (1966) (0)
Continuity and approximate continuity of derivatives (1978) (0)

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Andrew M. Bruckner's Academic­Influence.com Rankings