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The projective heat map / Richard Evan Schwartz.
Math/Physics/Astronomy Library QA360 .S39 2017
Available
- Format:
- Book
- Author/Creator:
- Schwartz, Richard Evan, author.
- Series:
- Mathematical surveys and monographs ; no. 219.
- Mathematical surveys and monographs ; volume 219
- Language:
- English
- Subjects (All):
- Mappings (Mathematics).
- Projective spaces.
- Geometry, Projective.
- Real functions--Functions of one variable--Iteration.
- Dynamical systems and ergodic theory--Low-dimensional dynamical systems--Homeomorphisms and diffeomorphisms of planes and surfaces.
- Dynamical systems and ergodic theory--Topological dynamics--Transformations and group actions with special properties (minimality, distality, proximality, etc.).
- Geometry--Real and complex geometry--Geometric constructions.
- Local Subjects:
- Geometry, Projective.
- Mappings (Mathematics).
- Projective spaces.
- Real functions--Functions of one variable--Iteration.
- Dynamical systems and ergodic theory--Low-dimensional dynamical systems--Homeomorphisms and diffeomorphisms of planes and surfaces.
- Dynamical systems and ergodic theory--Topological dynamics--Transformations and group actions with special properties (minimality, distality, proximality, etc.).
- Geometry--Real and complex geometry--Geometric constructions.
- Physical Description:
- x, 195 pages : illustrations ; 27 cm.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2017]
- Contents:
- Introduction
- Some other polygon iterations
- A primer on projective geometry
- Elementary algebraic geometry
- The pentagram map
- Some related dynamical systems
- The projective heat map
- Topological degree of the map
- The convex case
- The basic domains
- The method of positive dominance
- The Cantor set
- Towards the quasi horseshoe
- The quasi horseshoe
- Sketches for the remaining results
- Towards the solenoid
- The solenoid
- Local structure of the Julia set
- The embedded graph
- Connectedness of the Julia set
- Terms, formulas, and coordinate listings.
- Notes:
- Includes bibliographical references (pages 193-195).
- ISBN:
- 9781470435141
- 1470435144
- OCLC:
- 957057049
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