Study fails C-property in Orlicz spaces and proves -representation for risk measures.
arXiv research
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New property identifies arithmetic lattices from nonuniform lattices.
New complexity notion connects finite decomposition and asymptotic property C.
The trace set of a Fuchsian group ist the set of length of closed geodesics in the surface . 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…
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} manifolds. Our main idea is to exp…