Papers by Charles Bennett
MRS Proceedings, 1991
In order to improve our ability to simulate the complex behavior of polymers, we introduce dynami... more In order to improve our ability to simulate the complex behavior of polymers, we introduce dynamical models in the class of Cellular Automata (CA). Space partitioning methods enable us to overcome fundamental obstacles to large scale simulation of connected chains with excluded volume by parallel processing computers. A highly efficient, two-space algorithm is devised and tested on both Cellular Automata Machines (CAMs) and serial computers. Preliminary results on the static and dynamic properties of polymers in two dimensions are reported.
arXiv (Cornell University), Aug 18, 2003
arXiv (Cornell University), Mar 29, 2013
Superlattices and Microstructures, 1998
Physical Review Letters, 1985
Physical Review Letters, 1993
Journal of Computational Physics, 1976
arXiv (Cornell University), Oct 1, 2002
The first essay discusses, in nontechnical terms, the paradox implicit in defining a random integ... more The first essay discusses, in nontechnical terms, the paradox implicit in defining a random integer as one without remarkable properties, and the resolution of that paradox at the cost of making randomness a property which most integers have but can’t be proved to have. The second essay briefly reviews the search for randomness in the digit sequences of natural irrational numbers like π and artificial ones like Champernowne’s C = 0.12345678910111213 . . ., and discusses at length Chaitin’s definable-but-uncomputable number Ω, whose digit sequence is so random that no betting strategy could succeed against it. Other, Cabalistic properties of Ω are pointed out for the first time.
IEEE Transactions on Information Theory, Aug 1, 2003
Physical Review Letters, Feb 15, 2002
Physical Review Letters, Mar 10, 1997
Physical Review Letters, Jul 26, 2001
Physical Review Letters, Mar 10, 1997
IEEE Transactions on Information Theory, May 1, 2014
arXiv (Cornell University), Jun 17, 2010
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Papers by Charles Bennett