Self-affine sets with fibred tangents

TY - JOUR

T1 - Self-affine sets with fibred tangents

AU - KÄENMÄKI, ANTTI

AU - KOIVUSALO, HENNA

AU - ROSSI, EINO

PY - 2016/1/28

Y1 - 2016/1/28

N2 - We study tangent sets of strictly self-affine sets in the plane. If a set in this class satisfies the strong separation condition and projects to a line segment for sufficiently many directions, then for each generic point there exists a rotation (Formula presented.) such that all tangent sets at that point are either of the form (Formula presented.), where (Formula presented.) is a closed porous set, or of the form (Formula presented.), where (Formula presented.) is an interval.

AB - We study tangent sets of strictly self-affine sets in the plane. If a set in this class satisfies the strong separation condition and projects to a line segment for sufficiently many directions, then for each generic point there exists a rotation (Formula presented.) such that all tangent sets at that point are either of the form (Formula presented.), where (Formula presented.) is a closed porous set, or of the form (Formula presented.), where (Formula presented.) is an interval.

UR - http://www.scopus.com/inward/record.url?scp=84955620043&partnerID=8YFLogxK

U2 - 10.1017/etds.2015.130

DO - 10.1017/etds.2015.130

M3 - Article

AN - SCOPUS:84955620043

SN - 0143-3857

SP - 1

EP - 20

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

ER -