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Dynamics Done with Your Bare Hands =...

Dal'Bo, Françoise,

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Dynamics Done with Your Bare Hands = Lecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamics Done with Your Bare Hands/ Françoise Dal'Bo, François Ledrappier, Amie Wilkinson
Reminder of title:	Lecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /
other author:	Dal'Bo, Françoise,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2016,
Description:	1 online resource (214 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/168
Online resource:	https://www.ems-ph.org/img/books/dalbo_mini.jpg
ISBN:	9783037196687

Dynamics Done with Your Bare Hands = Lecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /
Dynamics Done with Your Bare HandsLecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /[electronic resource] :Françoise Dal'Bo, François Ledrappier, Amie Wilkinson - Zuerich, Switzerland :European Mathematical Society Publishing House,2016 - 1 online resource (214 pages) - EMS Series of Lectures in Mathematics (ELM) ;2523-5176.

Lines in positive genus: An introduction to flat surfaces /Diana Davis --

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

This 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.

ISBN: 9783037196687

Standard No.: 10.4171/168doiSubjects--Topical Terms:

704075
Differential equations

Dynamics Done with Your Bare Hands = Lecture notes by Diana Davis, Bryce Weaver, Roland K. W. Roeder, Pablo Lessa /
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505 0 0 $t Lines in positive genus: An introduction to flat surfaces / $r Diana Davis -- $t Introduction to complicated behavior and periodic orbits / $r Bryce Weaver -- $t Around the boundary of complex dynamics / $r Roland K.W. Roeder -- $t Recurrence vs transience: An introduction to random walks / $r Pablo Lessa.
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a This 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.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Dynamical systems and ergodic theory $2 msc $3 3480821
650 0 7 $a Differential geometry $2 msc $3 3480811
700 1 $a Dal'Bo, Françoise, $e editor. $3 3481135
700 1 $a Ledrappier, François, $e editor. $3 3481136
700 1 $a Wilkinson, Amie, $e editor. $3 3481137
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