Robert McCallum Blumenthal explained

Robert McCallum Blumenthal
Birth Date:	1931 2, df=y
Birth Place:	Chicago
Nationality:	United States
Field:	Probability theory
Work Institution:	University of Washington
Alma Mater:	Cornell University
Known For:	Blumenthal's zero-one law
Doctoral Advisor:	Gilbert Hunt
Thesis Title:	An Extended Markov Property
Thesis Year:	1956
Doctoral Students:	Chung-Tuo Shih

Robert "Bob" McCallum Blumenthal (7 February 1931, Chicago – 8 November 2012) was an American mathematician, specializing in probability theory. He is known for Blumenthal's zero-one law.^[1]

Biography

He received his Ph.D. in mathematics from Cornell University in 1956 under Gilbert Hunt with thesis An Extended Markov Property.

Blumenthal became in 1956 an instructor at the University of Washington, was eventually promoted to full professor, and in 1997 retired there. He was on sabbatical for the academic year 1961–1962 at the Institute for Advanced Study in Princeton and for the academic year 1966–1967 in Germany.

Upon his death he was survived by his wife and two sons.

Selected publications

Articles

• Some relationships involving subordination. Proc. Amer. Math. Soc.. 10. 3. 1959. 502–510. 10.1090/S0002-9939-1959-0105744-3. Blumenthal. R. M.. free.
• with R. K. Getoor: Some theorems on stable processes. Trans. Amer. Math. Soc.. 95. 2. 1960. 263–273. 10.1090/S0002-9947-1960-0119247-6. Blumenthal. R. M.. Getoor. R. K.. free.
• with R. K. Getoor: Sample functions of stochastic processes with stationary independent increments. Journal of Mathematics and Mechanics. 10. 3. 1961. 493–516. 24900735. Blumenthal. R. M.. Getoor. R. K..
• with R. K. Getoor and D. B. Ray: On the distribution of first hits for the symmetric stable processes. Trans. Amer. Math. Soc.. 99. 3. 1961. 540–554. 10.1090/S0002-9947-1961-0126885-4. Blumenthal. R. M.. Getoor. R. K.. Ray. D. B.. free.
• with R. K. Getoor: Additive functionals of Markov processes in duality. Trans. Amer. Math. Soc.. 112. 1964. 131–163. 10.1090/S0002-9947-1964-0160269-0. Blumenthal. R. M.. Getoor. R. K.. free.
• with R. K. Getoor: Local times for Markov processes. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete. 3. 1. 1964. 50–74. 10.1007/BF00531683. Blumenthal. R. M.. Getoor. R. K.. 120071327.

Books

• with R. K. Getoor: Book: 1968. Markov Processes and Potential Theory. ^[2] Book: Dover reprint. 2007. 9780486462639. Blumenthal. Robert Mccallum. Getoor. Ronald Kay.
• Book: 1992. Excursions of Markov Processes. Book: 2012 reprint.

  pbk, 276 pages

  . 9781468494129. Blumenthal. Robert M.. 2012-12-06.

Notes and References

1. Web site: IMS Bulletin. 2 April 2013. Obituary: Bob Blumenthal, 1931–2012. Getoor, Ronald. Ronald Getoor. 2024-03-15.
2. Review of Markov processes and potential theory by R. M. Blumenthal and R. K. Getoor. Meyer, P. A.. Paul-André Meyer. Bull. Amer. Math. Soc.. 75. 5. 1969. 912–916. 10.1090/S0002-9904-1969-12282-2. free.