Zobrazeno 1 - 4
of 4
pro vyhledávání: '"28A78 (Primary) 28A80 (Secondary)"'
Autor:
Rutar, Alex
We study self-similar measures in $\mathbb{R}$ satisfying the weak separation condition along with weak technical assumptions which are satisfied in all known examples. For such a measure $\mu$, we show that there is a finite set of concave functions
Externí odkaz:
http://arxiv.org/abs/2104.06997
For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the relationship among neighboring cells, and its hyperbolic boundary wit
Externí odkaz:
http://arxiv.org/abs/2006.12916
Autor:
Mitchell, Andrew, Olsen, Lars
We show that given any six numbers $r,s,t,u,v,w \in (0,1]$ satisfying $r \leq s \leq \min(t,u) \leq \max(t,u) \leq v \leq w$, it is possible to construct a compact subset of $[0,1]$ with Hausdorff dimension equal to $r$, lower modified box dimension
Externí odkaz:
http://arxiv.org/abs/1812.09542
For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the relationship among neighboring cells, and its hyperbolic boundary wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6e11c0e4bfeb7da07db4dff4b3c8955