The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 35

Showing per page

Separation properties for self-conformal sets

Yuan-Ling Ye (2002)

Studia Mathematica

For a one-to-one self-conformal contractive system w j j = 1 m on ℝ d with attractor K and conformality dimension α, Peres et al. showed that the open set condition and strong open set condition are both equivalent to 0 < ℋ α ( K ) < ∞ . We give a simple proof of this result as well as discuss some further properties related to the separation condition.

Simplicity of Neretin's group of spheromorphisms

Christophe Kapoudjian (1999)

Annales de l'institut Fourier

Denote by 𝒯 n , n ≥ 2 , the regular tree whose vertices have valence n + 1 , ∂ 𝒯 n its boundary. Yu. A. Neretin has proposed a group N n of transformations of ∂ 𝒯 n , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that N n is generated by two groups: the group Aut ( 𝒯 n ) of tree automorphisms, and a Higman-Thompson group G n . We prove the simplicity of N n and of a family of its subgroups.

Currently displaying 1 – 20 of 35

Page 1 Next