Let I be an instance of the stable marriage (SM) problem. In the late 1990s, Teo and Sethuraman discovered the existence of median stable matchings, which are stable matchings that match all participants to their (lower/upper) median stable partner. About a decade later, Cheng showed that not only are they locally-fair, but they are also globally-fair in the following sense: when G(I) is the co...

With any max-stable random process η on X = Zd or Rd, we associate a random tessellation of the parameter space X . The construction relies on the Poisson point process representation of the max-stable process η which is seen as the pointwise maximum of a random collection of functions Φ = {φi, i ≥ 1}. The tessellation is constructed as follows: two points x, y ∈ X are in the same cell if and o...

We say that a finitely additive probability measure $\mu $ on $\omega is P-measure if it vanishes points, and for each $\subseteq $-decreasing sequence $(E_n)$ of infinite subsets there $E\subseteq \omega such $E\,\s