Professor Trow will conduct research in the area of symbolic dynamics, a branch of dynamical systems. His research will be primarily concerned with factor maps between shifts of finite type. Factor maps are continuous, surjective, shift commuting maps. They are the sliding-block codes of information theory. Professor Trow is interested in the question of existence of these maps, and their possible degrees. These questions are closely related to topological conjugacy of shifts of finite type, the central problem of symbolic dynamics. The objects of study in symbolic dynamics are sets (called symbol spaces) whose elements are bi-infinite sequences of symbols, together with the shift map. These spaces are natural models for a large class of dynamical systems. They are of great interest to ergodic theorists and information and coding experts.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9003944
Program Officer
William Y. Velez
Project Start
Project End
Budget Start
1990-07-01
Budget End
1991-12-31
Support Year
Fiscal Year
1990
Total Cost
$12,687
Indirect Cost
Name
University of Memphis
Department
Type
DUNS #
City
Memphis
State
TN
Country
United States
Zip Code
38152