eb 2 00 6 On the decay of fragments in homogeneous fragmentations .
نویسنده
چکیده
We consider a mass-conservative fragmentation of the unit interval. The main purpose of this work is to specify the Hausdorff dimension of the set of locations having exactly an exponential decay. The study relies on an additive martingale which arises naturally in this setting, and a class of Lévy processes constrained to stay in a finite interval.
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In mass-conservative homogeneous fragmentations, sizes of the fragments decrease at asymptotic exponential rates. Like in branching processes, two situations occur: either the number of such fragments is exponentially growing the rate is effective -, or the probability of presence of such fragments is exponentially decreasing [3],[12]. In a recent paper [18], N. Krell considers fragments whose ...
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متن کامل/ 06 02 07 2 v 2 9 F eb 2 00 6 Production of a Q 2 Q̄ 2 state in J / ψ
The resonance X(1810) discovered in J/ψ → γωφ by BESII is considered as a candidate of 0 QQ̄ state. This model predicts that X → ωφ,K∗K∗ are the two dominant decay channels and X → KK, ηη, ηη′ are suppressed. The cross sections of γγ → X → ωφ,K∗K∗ are estimated.
متن کامل/ 06 02 07 2 v 1 8 F eb 2 00 6 Production of a Q 2 Q̄ 2 state in J / ψ
The resonance X(1810) discovered in J/ψ → γωφ by BESII is considered as a candidate of 0 QQ̄ state. This model predicts that X → ωφ,K∗K∗ are the two dominant decay channels and X → KK, ηη, ηη′ are suppressed. The cross sections of γγ → X → ωφ,K∗K∗ are estimated.
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