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The filling radius function R of Gromov measures the minimal radii of van Kampen diagrams filling edge-circuits w in the Cayley 2-complex of a finite presentation P. It is known that the Dehn function...
On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices
Joint spectral radius Devil’s staircase finiteness conjecture Sturmian sequence balanced word
2011/9/14
Abstract: The joint spectral radius of a finite set of real d x d matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous wor...
Radii of starlikeness for certain subclasses of logharmonic mappings
logharmonic univalent starlikeness
2010/9/17
In this paper, we determine the radius of univalence and starlikeness for subclasses of logharmonic mappings which satisfy certain conditions. Moreover, we obtain the radius of univalence and starlike...
ON THE PRODUCT OF MAPPING RADII FOR A SYSTEM OF NON-OVERLAPPING DOMAINS.