Background
Mackay, Robert Sinclair was born on July 4, 1956 in Carshalton, Surrey, England. Son of Donald Maccrimmon and Valerie Mackay.
(This book is adapted and revised from the author's semina...)
This book is adapted and revised from the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems. How they work and much of their dynamics are described in this book. The asymptotically universal structure is found on small scales in phase-space and long time-scales. The key to understanding it is renormalisation, that is, looking at a system on successively smaller phase-space and longer time scales. Having presented this idea, the author briefly surveys the use of the idea of renormalisation in physics. The renormalisation picture is then presented as the key to understanding the transition from regular to chaotic motion in area-preserving maps. Although written ten years ago, the subject matter continues to interest many today. This updated version will be useful to both researchers and students.
http://www.amazon.com/gp/product/9810213719/?tag=2022091-20
Mackay, Robert Sinclair was born on July 4, 1956 in Carshalton, Surrey, England. Son of Donald Maccrimmon and Valerie Mackay.
Bachelor in Mathematics with honors, Cambridge (England) University, 1977; Doctor of Philosophy in Astrophysical Sciences, Princeton University, 1982.
Research assistant, Queen Mary College, London, 1982-1983; lecturer mathematics, U. Warwick, 1984-1990; invited professor, Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette, France, 1983-1984; reader, professor, U. Warwick, 1990-1993, 93-95; deputy director Nonlinear Sys. Laboratory, U. Warwick, 1986-1995; professor, research associate, U. Bourgogne, France, 1994-1995; professor nonlinear dynamics, fellow Trinity College,, Cambridge U., since 1995.
(This book is adapted and revised from the author's semina...)
Member London Mathematics Society (co-editor Nonlinearity since 1993, Junior Whitehead prize 1994), Institute Physics.
Married Claude Noelle Baesens, May 1992.