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Plane curve singularities and carousels

Dung Tráng — 2003

Annales de l’institut Fourier

In this paper we give a direct and explicit description of the local topological embedding of a plane curve singularity using the Puiseux expansions of its branches in a given set of coordinates.

Complete convergence in mean for double arrays of random variables with values in Banach spaces

Ta Cong SonDang Hung ThangLe Van Dung — 2014

Applications of Mathematics

The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of real-valued random variables). In 2006, Rosalsky et al. introduced and investigated this concept for case random variable with Banach-valued (called complete convergence in mean of order p ). In this paper, we give some new results of complete convergence in mean of order p and its applications to strong laws of large numbers for double arrays of random variables taking values in Banach spaces.

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