Merging to semistable laws

Geometrically Strictly Semistable Laws as the Limit Laws

A random variableX is geometrically infinitely divisible iff for every p ∈ (0, 1) there exists random variable Xp such that X d = ∑T (p) k=1 Xp,k, where Xp,k’s are i.i.d. copies of Xp, and random variable T (p) independent of {Xp,1, Xp,2, . . .} has geometric distribution with the parameter p. In the paper we give some new characterization of geometrically infinitely divisible distribution. The...

On the Maximum of Periodic Integer-valued Sequences with Exponential Type Tails via Max-semistable Laws

In this work we study the limiting distribution of the maximum term of periodic integer-valued sequences with marginal distribution belonging to a particular class where the tail decays exponentially. This class does not belong to the domain of attraction of any max-stable distribution. Nevertheless, we prove that the limiting distribution is max-semistable when we consider the maximum of the f...

Semistable 3-fold Flips

1 Introduction. In this short note, I will give a proof of the existence of semistable 3-fold flips, which does not use the classification of log terminal (i.e., quotient) surface singularities. This permits us to avoid a calculation, which is a sort of logical bottleneck in all the existing approaches to semistable 3-fold flips ([Ka1 pg. 158–159], [Sh pg. 386–389], [Ka3 pg. 483–486]), however ...

Semistable Lévy Motion

Semistable Lévy motions have stationary independent increments with semistable distributions. They can be realized as scaling limits of simple random walks, extending the familiar Lévy motions. Generators of stable semigroups are fractional derivatives, and the semistable generators provide a new approximation to fractional derivatives. Semistable Lévy motions and semistable generators may be u...

Of Semistable Galois