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5 results for C-property

Study fails C-property in Orlicz spaces and proves ww^*-representation for risk measures.

problem Identifying Orlicz spaces where the C-property fails and proving ww^*-representation for risk measures.
method Identifying Orlicz spaces, proving C-property variants, and using Delbaen's Fatou property.
result Established a variant of the C-property and proved ww^*-representation for risk measures.

New complexity notion connects finite decomposition and asymptotic property C.

problem Understanding and connecting different properties in metric spaces.
method Introducing finite APC-decomposition complexity and proving its implications.
result Finite APC-decomposition complexity implies property A for metric spaces.

The trace set of a Fuchsian group ΓΓ ist the set of length of closed geodesics in the surface Γ\HΓ\backslash \mathbb{H}. Luo and Sarnak showed that the trace set of a cofinite arithmetic Fuchsian group satisfies the bounded clustering property. Sarnak then conjectured that the B-C property actually characterizes arithm…

2006-09-17abs ↗pdf ↗

This paper is intended as the first step of a programme aiming to prove in the long run the long-conjectured closedness under holomorphic deformations of compact complex manifolds that are bimeromorphically equivalent to compact Kähler manifolds, known as Fujiki {\it class} C{\cal C} manifolds. Our main idea is to exp…

2014-07-18abs ↗pdf ↗