Anthony Martin
Bio [2004]
Anthony Martin is a physics and math student at Indiana University in
Bloomington. Before coming to the Summer School he had done some work
on the 3n+1 problem, and he is currently studying string
theory. His interests include cycling, hiking, and 2.999% APR.
Project Title
Generalized Register Machines: The Key to the
Universe
Project
Generalized register machines (register machines comprising general update
rules, as opposed to increments and decrement-jumps by fixed numbers) are
relatively uninvestigated. To analyze the progress of register machines
executing generalized update steps, the update operations, the number of
registers, and the number of update steps will be variable.
In particular, register values will be modified by polynomials
of n variables, where n is the number of registers, that
alter one or more of the n registers via p[a],
where a is in Rn and represents the
state of the registers. The classification of registers will be
according to apparent complexity, practical applicability, and the
presence of a stable state.
Favorite two-color, radius-2 rule
Rule chosen: 1149018855
|
