Dynamics for hyperbolic non-invertible maps
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
We will talk about methods and results in the dynamics of hyperbolic non-invertible maps. One important direction is that of applying thermodynamical formalism (entropy, pressure, inverse pressure) to study various metric properties of fractals obtained from iterations of hyperbolic maps on basic sets. For example inverse pressure helps us estimate the Hausdorff dimension of fractal intersections in the basic set. Another direction is the ergodic study of the invariant measures supported on such sets, in particular the equilibrium measures, and their conditional measures relative to various partitions.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Mihailescu, E. (2009). Dynamics for hyperbolic non-invertible maps. Maltepe Üniversitesi. s. 157.