Daniel Jay Rudolph
Daniel Jay Rudolph (born October 3, 1949 in Sheridan (Wyoming) , † February 4, 2010 in Fort Collins ) was an American mathematician who dealt with ergodic theory .
biography
Rudolph's parents owned a farm near Fort Collins. Rudolph attended high school there and studied physics at Caltech from 1968 , but then switched to mathematics. In 1972 he received his bachelor's degree and won the Caltech ETBell Prize. He continued his studies at Stanford University with a master’s degree in 1973 and a doctorate with Donald Ornstein in 1975. The dissertation was in the style of the Ornstein school on ergodic theory in mass theory formulation ( Non-Bernoulli Behavior of the Roots of K-Automorphisms ) . As a post-doctoral student he was at the Hebrew University in Jerusalem in 1975/76 and then a Miller Fellow in Berkeley. At the Hebrew University he solved a long open problem of the Ornstein School, answering the question of when two-point extensions of Bernoulli maps are Bernoulli maps. In 1978 he became an assistant professor at Stanford and in 1981 an associate professor at the University of Maryland with a full professorship from 1985. In 2005 he became a professor at Colorado State University . Soon after, amyotrophic lateral sclerosis was diagnosed, from which he died.
He was visiting professor at the University of Paris VI in 1988/89 , in 1989 at the University of Warwick and at the Nicolaus Copernicus University in Torun, in 1991 at the University of North Carolina at Chapel Hill , in 1993 at the University of Aix-Marseille and the University of Tours .
In 1981/82 he was a Sloan Research Fellow. In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing ( Applications of orbit equivalence to actions of discrete amenable groups ).
literature
- Mike Boyle, Benjamin Weiss: Remembering Dan Rudolph , Ergodic Theory and Dynamical Systems, Volume 32, 2012, pp. 319-322.
Fonts
Books:
- Fundamentals of measurable dynamics: Ergodic theory on Lebesgue spaces, Clarendon Press 1991
- with Janet Whalen Kammeyer: Restricted orbit equivalence for actions of discrete amenable groups, Cambridge UP 2002
Some essays:
- Two nonisomorphic K-automorphisms with isomorphic squares , Israel Journal of Mathematics, Volume 23, 1976, pp. 274-287
- with Gideon Schwarz: On attaining đ-đ , Israel Journal of Mathematics, Volume 24, 1976, pp. 185-190
- with Klaus Schmidt: Almost block independence and bernoullicity of d-actions by automorphisms of compact abelian groups , Inventiones Mathematicae, Volume 120, 1995, pp. 455-488.
- Fully generic sequences and a multiple-term return-times theorem , Inventiones Mathematicae, Volume 131, 1997, pp. 199-228
- with Mrinal Kanti Roychowdhury: Any two irreducible Markov chains are finitarily orbit equivalent , Israel Journal of Mathematics, Volume 174, 2009, pp. 349-368
Web links
- John J. O'Connor, Edmund F. Robertson : Daniel Jay Rudolph. In: MacTutor History of Mathematics archive .
Individual evidence
- ↑ Daniel Jay Rudolph in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Rudolph, Daniel Jay |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | October 3, 1949 |
| PLACE OF BIRTH | Sheridan (Wyoming) |
| DATE OF DEATH | February 4, 2010 |
| Place of death | Fort Collins |