검색어: hyperbolicity (영어 - 독일어)

in 1983 he was an invited speaker at the international congress of mathematicians in warsaw (nonuniform hyperbolicity and structure of smooth dynamical systems).
1983 war er invited speaker auf dem internationalen mathematikerkongress in warschau (nonuniform hyperbolicity and structure of smooth dynamical systems).

bowditch's result also provides an estimate on the hyperbolicity constant of the curve complex which is logarithmic in complexity of the surface and also gives a description of geodesics in the curve complex in terms of the intersection numbers.
2004 war er invited speaker auf dem europäischen mathematikerkongress in stockholm (hyperbolic 3-manifolds and the geometry of the curve complex).

* "hyperbolicity and sensitive-chaotic dynamics at homoclinic bifurcations, fractal dimensions and infinitely many attractors", with f. takens.
*mit takens "hyperbolicity and sensitive-chaotic dynamics at homoclinic bifurcations, fractal dimensions and infinitely many attractors", cambridge university press, 1993; zweite auflage, 1994.

in one major paper she established the exponential decay of correlations for a certain class of quadratic maps, which are one of the simplest kinds of nonuniformly hyperbolic systems. this implies that the limit theorems of probability hold in this case. although similar results were known for [systems which have uniform hyperbolicity], nothing was known in the nonuniform case, and the numerical evidence was contradictory.
in einem großen papier sie das exponentielle zerfall von korrelationen für eine bestimmte klasse von quadratischen karten, die sind eine der einfachsten arten von nonuniformly hyperbolische systeme. dies bedeutet, dass das limit theorems wahrscheinlichkeit halten sie in diesem fall. zwar gibt es ähnliche ergebnisse wurden bekannt für [systeme, auf denen mit einheitlichen hyperbolicity], nichts bekannt war, in der nonuniform fall, und die numerische beweise wurden widersprüchlich.