Absolutely continuous invariant mesures for a class of affine interval exchange maps

dc.creator	Coelho, Zaqueu
dc.creator	Lopes, Artur Oscar
dc.creator	Rocha, Luiz Fernando Carvalho da
dc.date	2011-01-26T05:59:13Z
dc.date	1995
dc.identifier	0002-9939
dc.identifier	http://hdl.handle.net/10183/27487
dc.identifier	000141010
dc.description	We consider a class A of affine interval exchange maps of the interval and we analyse several ergodic properties of the elements of this class, among them the existence of absolutely continuous invariant probability measures. The maps of this class are parametrised by two values a and b , where a , b є (0, 1) . There is a renormalization map T defined from A to itself producing an attractor given by the set R of pure rotations, i.e. the set of ( a , b) such that b = 1-a . The density of the absolutely continuous invariant probability and the rotation number of the elements of the class d are explicitly calculated. We also show how the continued fraction expansion of this rotation number can be obtained from the renormalization map.
dc.format	application/pdf
dc.language	eng
dc.relation	Proceedings of the American Mathematical Society. Providence, RI. Vol. 123, no. 11 (nov. 1995), p. 3533-3542.
dc.rights	Open Access
dc.subject	Equações diferenciais : Sistemas dinamicos : Probabilidade : Medidas invariantes : Transformacoes intervalares afins : Ergodicidade : Atrator
dc.title	Absolutely continuous invariant mesures for a class of affine interval exchange maps
dc.type	Artigo de periódico
dc.type	Estrangeiro