Joseph L. Doob

Q: What Schools Are Affiliated With Joseph L. Doob

Joseph L. Doob is affiliated with the following schools: University of Illinois Urbana-Champaign, Columbia University, Harvard University

Joseph L. Doob's AcademicInfluence.com Rankings

Joseph L. Doob

Mathematics

#157

World Rank

#371

Historical Rank

#69

USA Rank

Measure Theory

#15

World Rank

#32

Historical Rank

USA Rank

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Mathematics

Why Is Joseph L. Doob Influential?

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According to Wikipedia, Joseph Leo Doob was an American mathematician, specializing in analysis and probability theory. The theory of martingaless was developed by Doob. Early life and education Doob was born in Cincinnati, Ohio, February 27, 1910, the son of a Jewish couple, Leo Doob and Mollie Doerfler Doob. The family moved to New York City before he was three years old. The parents felt that he was underachieving in grade school and placed him in the Ethical Culture School, from which he graduated in 1926. He then went on to Harvard where he received a BA in 1930, an MA in 1931, and a PhD in 1932. After postdoctoral research at Columbia and Princeton, he joined the department of mathematics of the University of Illinois in 1935 and served until his retirement in 1978. He was a member of the Urbana campus's Center for Advanced Study from its beginning in 1959. During the Second World War, he worked in Washington, D.C., and Guam as a civilian consultant to the Navy from 1942 to 1945; he was at the Institute for Advanced Study for the academic year 1941–1942 when Oswald Veblen approached him to work on mine warfare for the Navy.

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Joseph L. Doob'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

Stochastic processes (1953) (8868)
Classical potential theory and its probabilistic counterpart (1984) (942)
The Brownian Movement and Stochastic Equations (1942) (543)
Markov Processes and Potential Theory (2007) (521)
Heuristic Approach to the Kolmogorov-Smirnov Theorems (1949) (470)
Conditional brownian motion and the boundary limits of harmonic functions (1957) (270)
The Elementary Gaussian Processes (1944) (182)
Discrete Potential Theory and Boundaries (1959) (177)
Markoff chains—denumerable case (1945) (162)
Renewal theory from the point of view of the theory of probability (1948) (126)
Stochastic processes depending on a continuous parameter (1937) (126)
Asymptotic properties of Markoff transition prababilities (1948) (115)
Semimartingales and subharmonic functions (1954) (105)
Regularity properties of certain families of chance variables (1940) (94)
Topics in the theory of Markoff chains (1942) (92)
Boundary properties of functions with finite Dirichlet integrals (1962) (83)
A probability approach to the heat equation (1955) (80)
The Limiting Distributions of Certain Statistics (1935) (66)
THE DEVELOPMENT OF RIGOR IN MATHEMATICAL PROBABILITY (1900-1950) (1996) (64)
Probability and statistics (1934) (56)
What is a Martingale (1971) (52)
FIELDS, OPTIONALITY AND MEASURABILITY.* (1965) (49)
Probability as Measure (1941) (48)
Probability in function space (1947) (43)
A non probabilistic proof of the relative Fatou theorem (1959) (41)
The boundary values of analytic functions (1932) (40)
Conformally invariant cluster value theory (1961) (38)
Stochastic processes with an integral-valued parameter (1938) (38)
Note on Probability (1936) (30)
Time Series and Harmonic Analysis (1949) (28)
Martingales and one-dimensional diffusion (1955) (27)
Kolmogorov's Early Work on Convergence Theory and Foundation (1989) (27)
Generalized sweeping-out and probability (1968) (26)
Applications to analysis of a topological definition of smallness of a set (1966) (26)
A ratio operator limit theorem (1963) (25)
Probability Methods Applied to the First Boundary Value Problem (1956) (23)
Systems of Algebraic Difference Equations (1933) (23)
Stochastic Processes and Statistics. (1934) (22)
A RELATIVIZED FATOU THEOREM. (1959) (18)
Compactification of the discrete state space of a Markov process (1968) (17)
The law of large numbers for continuous stochastic processes (1940) (17)
State spaces for Markov chains (1970) (17)
A minimum problem in the theory of analytic functions (1941) (16)
Discussion of Papers on Probability Theory (1941) (16)
Stochastic process measurability conditions (1975) (16)
Some classical function theory theorems and their modern versions (1965) (16)
Wiener's work in probability theory (1966) (15)
Relative limit theorems in analysis (1960) (14)
Parabolic Potential Theory: Basic Facts (1984) (14)
Probability theory and the first boundary value problem (1958) (13)
Notes on Martingale Theory (1961) (13)
Corrections to Discrete Potential Theory and Boundaries (1959) (13)
What is a Stochastic Process (1942) (12)
On Two Formulations of the Theory of Stochastic Processes Depending Upon a Continuous Parameter (1940) (10)
On a problem of Marczewski (1948) (10)
One-Sided Cluster-Value Theorems (1963) (10)
The Ranges of Analytic Functions (1935) (9)
On a Theorem of Gross and Iversen (1932) (8)
William Feller and twentieth century probability (1972) (8)
One-parameter families of transformations (1938) (8)
Review: Edward Nelson, Dynamical Theories of Brownian Motion (1968) (6)
Remarks on the Boundary Limits of Harmonic Functions (1966) (6)
Appreciation of Khinchin (1961) (6)
On analytic functions with positive imaginary parts (1934) (6)
Review: Kai Lai Chung, Markov Processes with Stationary Transition Probabilities (1970) (6)
Boundary approach filters for analytic functions (1973) (5)
Continuous Parameter Martingales (1951) (5)
Conditional Brownian Motion (1984) (4)
On the Spectral Analysis of a Certain Transformation (1943) (4)
Brownian Motion on a Green Space (1957) (4)
The structure of a Markov chain (1972) (3)
Stochastic Processes and Their Applications the Conference Organizing Committee the Scientific Committee Bálint Tóth (budapest) Feng-yu Wang (beijing) Ii in Memoriam (2007) (2)
Conventions and Notation (1994) (2)
[The Central Limit Theorem Around 1935]: Comment (1986) (2)
Obituary: Paul Lévy (1972) (2)
Fundamental Concepts of Probability (1984) (2)
IDEAL THEORY AND ALGEBRAIC DIFFERENCE (2010) (2)
The measure-theoretic setting of probability theory (1952) (1)
PRESENT STATE AND FUTURE PROSPECTS OF STOCHASTIC PROCESS THEORY (2010) (1)
Probability vs. Measure (1991) (1)
Boundary Values of Analytic Functions. II (2004) (1)
Stochastic Processes (E. Parzen) (1963) (1)
Operations on Sets (1994) (1)
Erratum : “Some classical function theory theorems and their modern versions” (1967) (0)
Conditional Expectation; Martingale Theory (1994) (0)
The Martin Boundary (1984) (0)
The Sweeping Operation (1984) (0)
Optional Times and Associated Concepts (1984) (0)
Kolmogorov in Perspective. Translated by Harold McFaden. (History of Mathematics, 20.) x + 230 pp., frontis., illus., fig., table, bibl. Providence, R.I.: American Mathematical Society; London: London Mathematical Society, 2000. $49. (2003) (0)
Basic Properties of Harmonic, Subharmonic, and Superharmonic Functions (1984) (0)
The Parabolic Dirichlet Problem, Sweeping, and Exceptional Sets (1984) (0)
The Fundamental Convergence Theorem and the Reduction Operation (1984) (0)
Joseph Doob Interview March 2, 1978 (1978) (0)
Lattices in Classical Potential Theory and Martingale Theory (1984) (0)
Measures and Functions of Bounded Variation on R (1994) (0)
Infima of Families of Superharmonic Functions (1984) (0)
Convergence of Measure Sequences (1994) (0)
STOCHASTIC PROCESSES WITH AN INTEGRAL- (2010) (0)
Basic Properties of Continuous Parameter Supermartingales (1984) (0)
OF TECHNOLOGY Ma 3 / 103 KC Border Introduction to Probability and Statistics Winter 2015 Lecture 13 : Markov Chains and Martinagles (0)
William Feller (1906.-1970.) (2007) (0)
Polar Sets and Their Applications (1984) (0)
THE OCTOBER MEETING IN NEW YORK The four hundred fiftieth meeting of the American Mathematical (2007) (0)
Brownian Motion and Martingale Theory (1984) (0)
Review: Michel Loève, Probability theory (1961) (0)
One-Dimensional Potential Theory (1984) (0)
Classical Energy and Capacity (1984) (0)
Review: M. Loève, Probability theory. Foundations. Random sequences (1956) (0)
Report of the President of the Institute for 1950 (1951) (0)
The Martin Boundary in the Parabolic Context (1984) (0)
Parabolic Potential Theory (Continued) (1984) (0)
Introduction to the Mathematical Background of Classical Potential Theory (1984) (0)
Potentials on Special Open Sets (1984) (0)
Subparabolic, Superparabolic, and Parabolic Functions on a Slab (1984) (0)
Martingale Theory - Potential Theory (2010) (0)
On De Jouvenel/Government and University Research/The Peace Levy Approach (1964) (0)
State space for Markov processes (1971) (0)
Ma 3 / 103 KC Border Introduction to Probability and Statistics Winter 2017 Lecture 15 : Markov Chains and Martingales (0)
Lattices and Related Classes of Functions (1984) (0)
ON ANALYTIC FUNCTIONS WITH POSITIVE IMAGINARY PARTS BY J. L. DOOB* AND B. O. KOOPMAN (2007) (0)
Book Review: Norbert Wiener\/} 1894--1964 (1992) (0)
Lattices and Related Classes of Stochastic Processes (1984) (0)
Elements of Martingale Theory (1984) (0)
THE ANNUAL MEETING OF THE SOCIETY The fifty-eighth Annual Meeting of the American Mathematical (2007) (0)
Joseph Doob Interview May 21, 1994 (1994) (0)
The Fine Topology (1984) (0)
Classes of Subsets of a Space (1994) (0)
The Dirichlet Problem for Relative Harmonic Functions (1984) (0)
Brownian Motion and the PWB Method (1984) (0)
Brownian Motion on the Martin Space (1984) (0)
Probability : [proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at the University of Illinois at Urbana-Champaign, Urbana, Illinois, March, 1976 (1977) (0)
Studies in Mathematical Analysis and Related Topics: Essays in Honor of George Polya (1963) (0)

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What Schools Are Affiliated With Joseph L. Doob?

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Joseph L. Doob's Academic­Influence.com Rankings