Roy Lee Adler (February 22, 1931 – July 26, 2016[2]) was an American mathematician.

Roy L. Adler
Roy Adler, Oberwolfach 1968
Born(1931-02-22)February 22, 1931
DiedJuly 26, 2016(2016-07-26) (aged 85)
Alma materYale University
Scientific career
FieldsMathematics
InstitutionsThomas J. Watson Research Center
Doctoral advisorShizuo Kakutani

Adler earned his Ph.D. in 1961 from Yale University under the supervision of Shizuo Kakutani (On some algebraic aspects of measure preserving transformations).[3] He then worked as a mathematician for IBM at the Thomas J. Watson Research Center.

Adler studies dynamical systems, ergodic theory, symbolic and topological dynamics and coding theory. The road coloring problem that was solved by Avraham Trakhtman in 2007 came from him, along with L. W. Goodwyn and Benjamin Weiss.

He was a fellow of the American Mathematical Society.[4] A paper was written on his work and the impact of his work by Bruce Kitchens and others.[5]

Writings

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  • 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.[6]
  • Symbolic dynamics and Markov partitions, 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. 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

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  1. ^ "Biographies of Candidates 1997" (PDF). Notices of the American Mathematical Society. 44 (8): 967. September 1997. Retrieved 2 December 2016.
  2. ^ "Roy Adler Obituary - Mount Kisco, NY". The New York Times. July 29, 2016. Retrieved 2 December 2016.
  3. ^ Mathematics Genealogy Project
  4. ^ List of Fellows of the American Mathematical Society, retrieved 2013-11-24.
  5. ^ Kitchens, Bruce; Marcus, Brian; Weiss, Benjamin; Department of Mathematical Sciences, Indiana University Purdue University Indianapolis, Indianapolis, IN 46202, USA; Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada; Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem 91904, Israel (2018). "Roy Adler and the lasting impact of his work". Journal of Modern Dynamics. 13 (1): v–x. doi:10.3934/jmd.2018v. ISSN 1930-532X.{{cite journal}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
  6. ^ Adler, Roy L. (1970). Similarity of Automorphisms of the Torus by Roy L. Adler and Benjamin Weiss. American Mathematical Society.