Frank Spitzer | Academic Influence

Frank Spitzer's AcademicInfluence.com Rankings

Frank Spitzer

Mathematics

#966

World Rank

#1672

Historical Rank

#421

USA Rank

Measure Theory

#1416

World Rank

#1777

Historical Rank

#490

USA Rank

mathematics Degrees

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Mathematics

Frank Spitzer's Degrees

PhD Mathematics Columbia University

Why Is Frank Spitzer Influential?

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According to Wikipedia, Frank Ludvig Spitzer was an Austrian-born American mathematician who made fundamental contributions to probability theory, including the theory of random walks, fluctuation theory, percolation theory, the Wiener sausage, and especially the theory of interacting particle systems. Rare among mathematicians, he chose to focus broadly on "phenomena", rather than any one of the many specific theorems that might help to articulate a given phenomenon. His book Principles of Random Walk, first published in 1964, remains a well-cited classic.

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Frank Spitzer'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

Principles Of Random Walk (1965) (1107)
A Combinatorial Lemma and its Application to Probability Theory (1956) (624)
A limit law for random walk in a random environment (1975) (430)
Some theorems concerning 2-dimensional Brownian motion (1958) (327)
Interaction of Markov processes (1970) (293)
A limit theorem related to a new class of self similar processes (1979) (257)
Markov Random Fields on an Infinite Tree (1975) (202)
Markov Random Fields and Gibbs Ensembles (1971) (184)
Electrostatic capacity, heat flow, and brownian motion (1964) (144)
The Wiener-Hopf equation whose kernel is a probability density. II (1957) (136)
The Galton-Watson Process with Mean One and Finite Variance (1966) (121)
A TAUBERIAN THEOREM AND ITS PROBABILITY INTERPRETATION (1960) (104)
Ergodic theorems for coupled random walks and other systems with locally interacting components (1981) (102)
Convergence in distribution of products of random matrices (1984) (96)
On multitype branching processes with ϱ ⩽ 1 (1967) (90)
The Martin boundary for random walk (1966) (90)
Random walks, Brownian motion and interacting particle systems : a festschrift in honor of Frank Spitzer (1991) (72)
Ratio theorems for random walks I (1963) (54)
Optimal Stopping Rules (A. N. Shiryayev) (1981) (45)
Stochastic time evolution of one dimensional infinite particle systems (1977) (41)
A class of Toeplitz forms and their application to probability theory (1960) (38)
The circumference of a convex polygon (1961) (36)
Random walk on countably infinite Abelian groups (1965) (34)
A Variational Characterization of Finite Markov Chains (1972) (34)
Random processes defined through the interaction of an infinite particle system (1969) (32)
Phase transition in one-dimensional nearest-neighbor systems (1975) (29)
Recurrent random walk of an infinite particle system (1974) (28)
Infinite Systems with Locally Interacting Components (1981) (28)
Reversibility and Stochastic Networks (F. P. Kelly) (1981) (14)
The Classification of Random Walk (1964) (14)
Controlled Markov Chains (1975) (12)
Two explicit Martin boundary constructions (1967) (11)
Some properties of recurrent random walk (1961) (10)
Review: K. Ito, H. P. Mc Kean, Diffusion Processes and their Sample Paths (1966) (9)
On a class of random variables (1955) (8)
Discussion on Professor Kingman's Paper (1973) (8)
Review: Ulf Grenander and Gabor Szegö, Toeplitz forms and their applications (1959) (7)
Symposium on Probability Methods in Analysis (1967) (6)
A general property of random walk (1962) (5)
Review: William Feller, An Introduction to Probability Theory and Its Applications (1967) (4)
Recurrent Random Walk and Logarithmic Potential (1991) (3)
Principles of Modern Instrumentation (1973) (3)
Random time evolution of infinite particle systems (1975) (2)
Transient Random Walk (1964) (2)
The characterization of optimal saving programs in a quadratic model (1976) (2)
Fourier Analysis in Probability Theory (T. Kawata) (1974) (1)
Imprisoned argentine scientist. (1977) (1)
A Course in the Theory of Stochastic Processes (A. D. Wentzell) (1982) (1)
On interval recurrent sums of independent random variables (1956) (1)
Renewal theorems for Markov chains (1967) (1)
Random Walk on an Interval (1964) (0)
Two-Dimensional Recurrent Random Walk (1964) (0)
Some new countable systems with locally interacting components (1980) (0)
Imprisoned Argentine Scientist (1977) (0)
Random Systems with Locally Interacting Objects (1980) (0)
Brownian Motion and Classical Potential Theory (Sydney C. Port and Charles J. Stone) (1980) (0)
Random Walk on a Half-Line (1964) (0)
Conference on Stochastic Processes and Their Applications (12th) held at Ithaca, New York on 11-15 Jul 83, (1983) (0)
Some probability limit theorems (1959) (0)
Recurrent Random Walk (1964) (0)

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