Entropy via multiplicity

dc.contributor.author	Kruglikov, Boris
dc.contributor.author	Rypdal, Martin
dc.date.accessioned	2009-05-18T11:02:32Z
dc.date.available	2009-05-18T11:02:32Z
dc.date.issued	2005-09-30
dc.description.abstract	The topological entropy of piecewise affine maps is studied. It is shown that singularities may contribute to the entropy only if there is angular expansion and we bound the entropy via the expansion rates of the map. As a corollary we deduce that non-expanding conformal piecewise affine maps have zero topological entropy. We estimate the entropy of piecewise affine skew-products. Examples of abnormal entropy growth are provided.	en
dc.format.extent	242603 bytes
dc.format.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/10037/1850
dc.identifier.urn	URN:NBN:no-uit_munin_1611
dc.language.iso	eng	en
dc.rights.accessRights	openAccess
dc.subject	VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413	en
dc.subject	Dynamical Systems (math.DS)	en
dc.title	Entropy via multiplicity	en
dc.type	Working paper	en
dc.type	Arbeidsnotat	en