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math.AC2005★ 1 cited
Some families of componentwise linear monomial ideals
Christopher A. Francisco, Adam Van Tuyl
Let R=k[x_1,...,x_n] be a polynomial ring over a field k. Let J={j_1,...,j_t} be a subset of [n]={1,...,n}, and let m_J denote the ideal (x_{j_1},...,x_{j_t}) of R. Given subsets J…
math.PR2005★ 47 cited
Some results on two-sided LIL behavior
Uwe Einmahl, Deli Li
Let {X,X_n;n\geq 1} be a sequence of i.i.d. mean-zero random variables, and let S_n=\sum_{i=1}^nX_i,n\geq 1. We establish necessary and sufficient conditions for having with probab…
math.AC2005★ 1 cited
Splittable ideals and the resolutions of monomial ideals
Huy Tai Ha, Adam Van Tuyl
We provide a new combinatorial approach to study the minimal free resolutions of edge ideals, that is, quadratic square-free monomial ideals. With this method we can recover most o…