Lester Dubins | Academic Influence

Lester Dubins's AcademicInfluence.com Rankings

Lester Dubins

Mathematics

#1221

World Rank

#2044

Historical Rank

#514

USA Rank

Measure Theory

#844

World Rank

#1112

Historical Rank

#318

USA Rank

mathematics Degrees

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Mathematics

Lester Dubins's Degrees

PhD Mathematics University of Chicago

Why Is Lester Dubins Influential?

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According to Wikipedia, Lester Dubins was an American mathematician noted primarily for his research in probability theory. He was a faculty member at the University of California at Berkeley from 1962 through 2004, and in retirement was Professor Emeritus of Mathematics and Statistics.

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Lester Dubins'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

On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents (1957) (2932)
Machiavelli and the Gale-Shapley Algorithm (1981) (681)
Merging of Opinions with Increasing Information (1962) (501)
Finitely Additive Conditional Probabilities, Conglomerability and Disintegrations (1975) (299)
How to Cut a Cake Fairly (1961) (183)
ON CONTINUOUS MARTINGALES. (1965) (169)
Inequalities for Stochastic Processes: How to Gamble If You Must (1976) (159)
Invariant Probabilities for Certain Markov Processes (1966) (125)
Optimal Stopping Rules and Maximal Inequalities for Bessel Processes (1994) (123)
Random distribution functions (1963) (109)
On a Theorem of Skorohod (1968) (108)
How to Gamble If You Must: Inequalities for Stochastic Processes (1965) (93)
On Existence and Non-Existence of Proper, Regular, Conditional Distributions (1975) (92)
A Sharper Form of the Borel-Cantelli Lemma and the Strong Law (1965) (90)
An extension of Skorohod’s almost sure representation theorem (1983) (87)
Measurable sets of measures. (1964) (85)
A converse to the dominated convergence theorem (1963) (84)
On the distribution of maxima of martingales (1978) (77)
On plane curves with curvature. (1961) (54)
Exchangeable processes need not be mixtures of independent, identically distributed random variables (1979) (46)
On extreme points of convex sets (1962) (44)
How to Gamble if You Must: Inequalities for Stochastic Process. (1967) (43)
On Lebesgue-like Extensions of Finitely Additive Measures (1974) (40)
A sharp inequality for sub-martingales and stopping-times (1988) (39)
Decreasing sequences of $\sigma$-fields and a measure change for Brownian motion. II (1996) (37)
Group Decision Devices (1977) (34)
OPTIMAL STOPPING WHEN THE FUTURE IS DISCOUNTED (1967) (28)
A TCHEBYCHEFF-LIKE INEQUALITY FOR STOCHASTIC PROCESSES. (1965) (25)
On the Lévy transformation of brownian motions and continuous martingales (1993) (24)
Self-avoiding random loops (1988) (23)
Resolving Conflicting Preferences in School Choice : The “ Boston (2009) (21)
Generalized random variables (1957) (19)
A maximal inequality for skew fields (1980) (19)
Countably additive gambling and optimal stopping (1977) (18)
On extremal martingale distributions (1967) (16)
Persistently ϵ-Optimal Strategies (1977) (16)
The modified, discrete Lévy transformation is Bernoulli (1992) (16)
On the expected diameter of an L2-bounded martingale (2008) (16)
Measurable, nonleavable gambling problems (1989) (15)
On the existence of disintegrations (1995) (14)
On the Expected Value of a Stopped Martingale (1966) (14)
Scissor congruence (1963) (14)
A pointwise ergodic theorem for the group of rational rotations (1979) (13)
Rises and upcrossings of nonnegative martingales (1962) (13)
Measurable tail disintegrations of the Haar integral are purely finitely additive (1977) (12)
An Elementary Proof of Bochner's Finitely Additive Radon-Nikodym Theorem (1969) (10)
CONDITIONAL PROBABILITY DISTRIBUTIONS IN THE WIDE SENSE (1957) (10)
ON STATIONARY STRATEGIES FOR ABSOLUTELY CONTINUOUS HOUSES (1979) (10)
A Simpler Proof of Smith's Roulette Theorem (1968) (9)
Paths of finitely additive brownian motion need not be bizarre (1999) (9)
A divergent, two-parameter, bounded martingale (1980) (8)
With respect to tail sigma fields, standard measures possess measurable disintegrations (1983) (8)
Some exchangeable probabilities are singular with respect to all presentable probabilities (1983) (6)
On everywhere-defined integrals (1977) (6)
An Example in which Stationary Strategies are not Adequate (1975) (6)
THE GAMBLER'S RUIN PROBLEM FOR PERIODIC WALKS (1996) (5)
On Stability for Optimization Problems (1974) (5)
SHARP BOUNDS ON THE DISTRIBUTION OF THE HARDY-LITTLEWOOD MAXIMAL FUNCTION (1963) (5)
On roulette when the holes are of various sizes (1972) (5)
Equidiscontinuity of Borsuk-Ulam functions. (1981) (5)
Naturally integrable functions. (1980) (5)
OPTIMAL GAMBLING SYSTEMS. (1960) (5)
On disintegrations and conditional probabilities (1976) (4)
Discrete Red-and-Black with Fortune-Dependent Win Probabilities (1998) (4)
Bernstein-like polynomial approximation in higher dimensions. (1983) (4)
A group decision device: Its pareto-like optimality (1991) (3)
A characterization of the families of finite-dimensional distributions associated with countably additive stochastic processes whose sample paths are inD (1978) (3)
Sharp Bounds for the Total Variance of Uniformly Bounded Semimartingales (1972) (3)
Invariant Gambling Problems and Markov Decision Processes (2002) (3)
Another Proof of the Four Vertex Theorem (1960) (2)
On means with countably additive continuities (1984) (2)
Subfair casino functions are superadditive (1967) (2)
A Note on Upcrossings of Semimartingales (1966) (1)
Which families of finite-dimensional joint distributions are associated with continuous-path, countably additive, stochastic processes? (1977) (1)
Which Functions of Stopping Times are Stopping Times (1973) (1)
A continuous martingale in the plane that may spiral away to infinity (1991) (1)
On Differentiation of Series Term-By-Term (1960) (0)
Inclusion of Detection in Probability of Survival Models (1961) (0)
A zero-one, Borel probability which admits of no countably additive extensions (1982) (0)
A gloss on a theorem of Furstenberg (1983) (0)
More on Mycoplasma pneumoniae pneumonia. (1995) (0)
Rises of nonnegative semimartingales (1968) (0)
CONDITIONAL PROBABILITY DISTRIBUTIONS IN THE WIDE SENSE1 (2010) (0)

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