We consider MCMC algorithms for certain particle systems which include both attractive and repulsive forces, making their convergence analysis challenging. prove that a version of these on bounded state space is uniformly ergodic with explicit quantitative rate. also an unbounded still geometrically ergodic, then use the method shift-coupling to obtain bound its

We study critical points of a Ginzburg-Landau type functional with an attractive-repulsive-attractive nonlocal interaction. Using an appropriate scaling and the Γ-convergence method we reduce the problem to a finite dimensional one. In contrast to a similar problem with just an attractive-repulsive interaction, we obtain a richer set of solutions. The soliton-stripe patterns appear as skewed lo...

Attractiveness plays an important role in social exchange and in the ability to attract potential mates, especially for women. Several facial traits have been described as reliable indicators of attractiveness in women, but very few studies consider the influence of several measurements simultaneously. In addition, most studies consider just one of two assessments to directly measure attractive...

Men and women reliably differ on the importance of certain criteria when considering romantic relationships. From an evolutionary perspective that explains sex differences in mating effort parental investment, men should prioritise attractiveness women, wealth. Personality traits also signal important information about relationship potential with those dark triad facilitating short-term However...