Authors:Pierre Collet, J.-P. Eckmann,
Publisher: Birkhäuser Boston
Keywords: system, dynamical, interval, maps, iterated
Number of Pages: 248
Published: 1980-01-01
List price: $74.95
ISBN-10: 0817630260
ISBN-13: 9780817630263

Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding mathematical structure revealing a great deal about interrelations between the behavior for different parameter values. This work explains some of the early results of this theory to mathematicians and theoretical physicists, with the a

Author: Richard M. Hain
Publisher: Amer Mathematical Society
Keywords: american, mathematical, society, memoirs, periods, integrals, homotopy, iterated
Number of Pages: 98
Published: 1984-02
List price: $19.00
ISBN-10: 0821822918
ISBN-13: 9780821822913

Author: Graham Kendall; Xin Yao; Siang Yew Chong
Publisher: World Scientific Publishing Company
Keywords: natural, computation, advances, years, prisoners, dilemma, iterated
Number of Pages: 272
Published: 2007-05-14
List price: $121.00
ISBN-10: 9812706976
ISBN-13: 9789812706973

In 1984, Robert Axelrod published a book, relating the story of two competitions which he ran, where invited academics entered strategies for the Iterated Prisoners Dilemma. The book, almost 20 years on, is still widely read and cited by academics and the general public. As a celebration of that landmark work, we have recreated those competitions to celebrate its 20th anniversary, by again inviting academics to submit prisoners dilemma strategies. The first of these new competitions was run in July 2004, and the second in April 2005. Iterated Prisoners Dilemma: 20 Years On essentially pr

Authors:Krzysztof Ciesielski, Janusz Pawlikowski,
Publisher: Cambridge University Pre
Keywords: model, perfect, cambridge, tracts, mathematics, iterated, core, property, axiom, cpa, combinatorial, covering
Number of Pages: 200
Published: 2004-08-23
List price: $98.00
ISBN-10: 0521839203
ISBN-13: 9780521839204

Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of results known to be true in the Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. One may say that CPA is similar in nature to Martin’s axiom, as both capture the essence of the models of ZFC in which they hold.