Roy Lee Adler (February 22, 1931 – July 26, 2016) was an American mathematician.
Adler earned his Ph.D. in 1961 from
Yale University
Yale University is a private research university in New Haven, Connecticut. Established in 1701 as the Collegiate School, it is the third-oldest institution of higher education in the United States and among the most prestigious in the wo ...
under the supervision of
Shizuo Kakutani
was a Japanese-American mathematician, best known for his eponymous fixed-point theorem.
Biography
Kakutani attended Tohoku University in Sendai, where his advisor was Tatsujirō Shimizu. At one point he spent two years at the Institute for ...
(''On some algebraic aspects of measure preserving transformations''). He then worked as a mathematician for IBM at the
Thomas J. Watson Research Center
The Thomas J. Watson Research Center is the headquarters for IBM Research. The center comprises three sites, with its main laboratory in Yorktown Heights, New York, U.S., 38 miles (61 km) north of New York City, Albany, New York and wit ...
.
Adler studies
dynamical system
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a ...
s,
ergodic theory
Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...
,
symbolic and
topological dynamics and
coding theory
Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography, error detection and correction, data transmission and data storage. Codes are stud ...
. The
road coloring problem that was solved by
Avraham Trakhtman in 2007 came from him, along with
L. W. Goodwyn and
Benjamin Weiss
Benjamin Weiss ( he, בנימין ווייס; born 1941) is an American-Israeli mathematician known for his contributions
to ergodic theory, topological dynamics, probability theory, game theory, and descriptive set theory.
Biography
Benjamin ( ...
.
He was a fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. A paper was written on his work and the impact of his work by Bruce Kitchens and others.
Writings
*With Brian Marcus: ''Topological entropy and equivalence of dynamical systems''. Memoirs of the American Mathematical Society. 20 (1979), no 219.
*With Benjamin Weiss: ''Similarity of automorphisms of the torus'', Memoirs of the American Mathematical Society (1970), no 98.
Bulletin of the American Mathematical Society. 35 (1998), no 1, 1–57.
*With L. Wayne Goodwyn and Benjamin Weiss
''Equivalence of topological Markov shifts'' Israel Journal of Mathematics
'' Israel Journal of Mathematics'' is a peer-reviewed mathematics journal published by the Hebrew University of Jerusalem (Magnes Press).
Founded in 1963, as a continuation of the ''Bulletin of the Research Council of Israel'' (Section F), the jou ...
. 27 (1977), 49–63.
*With
Alan Konheim and M. H. McAndrew: ''Topological Entropy'', Transactions of the American Mathematical Society. 114 (1965), 309–319.
*With Tomasz Downarowicz and Michał Misiurewicz
Topological Entropy Scholarpedia. 3 (2008), no 2, 2200.
*With Charles Tresser and Patrick A. Worfolk: ''Topological conjugacy of linear endomorphisms of the 2-torus'', Transactions of the American Mathematical Society. 349 (1997), 1633–1652.
*With Benjamin Weiss: ''Entropy, a complete metric invariant for automorphisms of the torus'', Proceeding of the National Academy of Sciences. 57 (1967), 1573–1576.
References
{{DEFAULTSORT:Adler, Roy
1931 births
2016 deaths
20th-century American mathematicians
21st-century American mathematicians
Jewish American scientists
Fellows of the American Academy of Arts and Sciences
Fellows of the American Mathematical Society
People from Newark, New Jersey
Yale Graduate School of Arts and Sciences alumni
21st-century American Jews