Variation of the conformal radius
Rhode, Steffen ; Zinsmeister, Michel
HAL, hal-00079993 / Harvested from HAL
Text on HAL
We study the change of the conformal radius r(U) of a simply con- nected planar domain U versus the subdomain Uǫ consisting of the points of distance at least ǫ to ∂U. We show that the smallest exponent λ such that r(U) − r(Uǫ) = O(ǫλ) satisfies 0.59 < λ < 0.91. We also show that a well-known conjecture implies λ = 2(p2 1).
Publié le : 2004-07-05
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00079993,
     author = {Rhode, Steffen and Zinsmeister, Michel},
     title = {Variation of the conformal radius},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00079993}
}

Rhode, Steffen; Zinsmeister, Michel. Variation of the conformal radius. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00079993/