The Resource Ergodic Theory and Negative Curvature : CIRM Jean-Morlet Chair, Fall 2013, edited by Boris Hasselblatt, (electronic resource)

Ergodic Theory and Negative Curvature : CIRM Jean-Morlet Chair, Fall 2013, edited by Boris Hasselblatt, (electronic resource)

Label
Ergodic Theory and Negative Curvature : CIRM Jean-Morlet Chair, Fall 2013
Title
Ergodic Theory and Negative Curvature
Title remainder
CIRM Jean-Morlet Chair, Fall 2013
Statement of responsibility
edited by Boris Hasselblatt
Contributor
Editor
Editor
Subject
Language
eng
Summary
Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study. The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation
Member of
Dewey number
  • 515.39
  • 515.48
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
SsgmGGgmmFg
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Hasselblatt, Boris.
Series statement
Lecture Notes in Mathematics,
Series volume
2164
http://library.link/vocab/subjectName
  • Differentiable dynamical systems
  • Global differential geometry
  • Dynamical Systems and Ergodic Theory
  • Differential Geometry
Label
Ergodic Theory and Negative Curvature : CIRM Jean-Morlet Chair, Fall 2013, edited by Boris Hasselblatt, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st ed. 2017.
Extent
1 online resource (VII, 328 p. 68 illus., 17 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319430591
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-43059-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000001381982
  • (DE-He213)978-3-319-43059-1
  • (EXLCZ)994100000001381982
Label
Ergodic Theory and Negative Curvature : CIRM Jean-Morlet Chair, Fall 2013, edited by Boris Hasselblatt, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st ed. 2017.
Extent
1 online resource (VII, 328 p. 68 illus., 17 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783319430591
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-43059-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)4100000001381982
  • (DE-He213)978-3-319-43059-1
  • (EXLCZ)994100000001381982

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