One hundred years of complex dynamics

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing.

Download Full-text

Complex dynamics of Möbius semigroups

Ergodic Theory and Dynamical Systems ◽

10.1017/s014338571100054x ◽

2012 ◽

Vol 32 (6) ◽

pp. 1889-1929 ◽

Cited By ~ 3

Author(s):

DAVID FRIED ◽

SEBASTIAN M. MAROTTA ◽

RICH STANKEWITZ

Keyword(s):

Complex Dynamics ◽

Riemann Sphere ◽

Julia Sets ◽

Fibonacci Sequence ◽

Rational Functions ◽

Möbius Transformations ◽

Random Dynamics ◽

Compare And Contrast ◽

Möbius Groups ◽

Mobius Transformations

AbstractWe study the dynamics of semigroups of Möbius transformations on the Riemann sphere, especially their Julia sets and attractors. This theory relates to the dynamics of rational functions, rational semigroups, and Möbius groups and we compare and contrast these theories. We particularly examine Caruso’s family of Möbius semigroups, based on a random dynamics variant of the Fibonacci sequence.

Download Full-text

Complex Dynamics at Work: OD Theory and Practice

PsycEXTRA Dataset ◽

10.1037/e401252008-001 ◽

2005 ◽

Author(s):

Glenda Eoyang

Keyword(s):

Complex Dynamics ◽

Theory And Practice

Download Full-text

Oligopoly Dynamics: A Traditional Area for Complex Dynamics in Economic Theory

PsycEXTRA Dataset ◽

10.1037/e538982010-001 ◽

2003 ◽

Author(s):

Tonu Puu

Keyword(s):

Economic Theory ◽

Complex Dynamics ◽

Traditional Area

Download Full-text

Some Renaissance Polish Commentaries on Aristotle's Rhetoric and Hermogenes' On Ideas

Rhetorica A Journal of the History of Rhetoric ◽

10.1525/rh.1994.12.3.265 ◽

1994 ◽

Vol 12 (3) ◽

pp. 265-292

Author(s):

Thomas Conley

Keyword(s):

Seventeenth Century ◽

Cultural Milieu ◽

Western European ◽

Manuscript Collections ◽

Area Of Study

Absract: In the present manuscript collections of the Biblioteka Narodowa in Warsaw and the Biblioteka Jagiellońska in Kraków are two commentaries on Aristotle's Rhetoric and two on Hermogenes' On Ideas, all evidently composed in the early seventeenth century. This study briefly surveys their contents and organization and attempts to locate them in the cultural milieu of Renaissance Polish scholarship, an area of study almost totally ignored by American and Western European historians of rhetoric.

Download Full-text

An Alternative Approach To User Fee Policy In The Primary Health Care Setting Of Bangladesh.

10.31219/osf.io/n5j8k ◽

2020 ◽

Author(s):

Nazneen Akhter

Keyword(s):

Health Care ◽

Primary Health Care ◽

Complex Dynamics ◽

Quality Care ◽

Secondary Data ◽

User Fees ◽

Primary Health ◽

Alternative Approach ◽

Benefit Principle ◽

User Fee

The concept of ascribing user fee in health care settings always remained a policy struggle and countries experienced different learning in this regards while implementing user fee at different tiers of health settings. The most exquisite learning among the many country specific evidences related to user fee are the match and mismatch between the equity principle and benefit principle while considering the client perspective. There is an added dimension of quality care which also add more complex dynamics into this concept since the quality care consideration has a double edged perspective both for clients and providers, where which one will get superiority over whom is a great question in health care, especially in the Primary Health care (PHC) of the country. In this reality the appropriate implementation guideline, followed by an appropriate practice of the administrative and management both service oriented and financial are of great importance in this user fee implementation consideration which always remained a challenge in the health care specially in remote care of PHC. This paper attempted a secondary data searching and scoping the available documents of Bangladesh and across the world to find an alternative approach to user fees policy where equity and benefit principle and quality - these three have to be placed in a well-constructed triad in PHC implementation which has been recommended as an alternative policy imperative in approaching user fees for Bangladesh PHC settings.

Download Full-text