Catalogue Tag Display

MARC 21

Dynamics Done with Your Bare Hands: Lecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /
Tag	Description
006	$ a fot ::: 0:
020	$a9783037196687
084	$a37-xx$a53-xx$2msc
099	$aOnline Resource: EMS
245	$aDynamics Done with Your Bare Hands$h[EBook] :$bLecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /$cFrançoise Dal’Bo, François Ledrappier, Amie Wilkinson
260	$aZuerich, Switzerland :$bEuropean Mathematical Society Publishing House,$c2016
300	$a1 online resource (214 pages)
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176
505	$tLines in positive genus: An introduction to flat surfaces /$rDiana Davis --$tIntroduction to complicated behavior and periodic orbits /$rBryce Weaver --$tAround the boundary of complex dynamics /$rRoland K.W. Roeder --$tRecurrence vs transience: An introduction to random walks /$rPablo Lessa.
520	$aThis book arose from 4 lectures given at the Undergraduate Summer School of the Thematic Program Dynamics and Boundaries held at the University of Notre Dame. It is intended to introduce (under)graduate students to the field of dynamical systems by emphasizing elementary examples, exercises and bare hands constructions. The lecture of Diana Davis is devoted to billiard flows on polygons, a simple-sounding class of continuous time dynamical system for which many problems remain open. Bryce Weaver focuses on the dynamics of a 2x2 matrix acting on the flat torus. This example introduced by Vladimir Arnold illustrates the wide class of uniformly hyperbolic dynamical systems, including the geodesic flow for negatively curved, compact manifolds. Roland Roeder considers a dynamical system on the complex plane governed by a quadratic map with a complex parameter. These maps exhibit complicated dynamics related to the Mandelbrot set defined as the set of parameters for which the orbit remains bounded. Pablo Lessa deals with a type of non-deterministic dynamical system: a simple walk on an infinite graph, obtained by starting at a vertex and choosing a random neighbor at each step. The central question concerns the recurrence property. When the graph is a Cayley graph of a group, the behavior of the walk is deeply related to algebraic properties of the group.
533	$nMode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aDal’Bo, Françoise,$eeditor.
700	$aLedrappier, François,$eeditor.
700	$aWilkinson, Amie,$eeditor.
856	$uhttps://doi.org/10.4171/168
856	$3cover image$uhttps://www.ems-ph.org/img/books/dalbo_mini.jpg