科研之友
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摘要
Bernoulli-p thinning has been well-studied for point processes. Here we consider three other cases: (1) sequences (X (1),X (2),aEuro broken vertical bar); (2) gaps of such sequences (X (n+1)-X (1)) (naa"center dot); (3) partition structures. For the first case we characterize the distributions which are simultaneously invariant under Bernoulli-p thinning for all pa(0,1]. Based on this, we make conjectures for the latter two cases, and provide a potential approach for proof. We explain the relation to spin glasses, which is complementary to important previous work of Aizenman and Ruzmaikina, Arguin, and Shkolnikov.
- 出版日期2012-8
