The correlation structure of some remarkable point processes on the one-dimensional real line is investigated. More specifically, focus is on translation invariant determinantal, permanental and/or renewal point processes. In some cases, anomalous (non-Poissonian) fluctuations for the number of...

We compute the correlation function in the equilibrium version of Rényi's parking problem. The correlation length is found to diverge as 2−1π−2(1−ρ)−2 when ρ↗1 (maximum density) and as π−2(2ρ−1)−2 when ρ↘1/2 (minimum density).

We study the colonizing process of space by some populations which can be verbally described as follows: suppose a first incoming species occupies a random fraction of the available unit space. The forthcoming species takes an independent random fraction of the remaining space. There are n...

Abstract. For super-heated water on a substrate with hydrophobic patches immersed in a hydrophilic matrix, one can choose the temperature so that micro-bubbles will form, grow and merge on the hydrophobic patches and not on the hydrophilic matrix. Until covering a patch, making a pinned...

This paper is an attempt to formalize analytically the question raised in “World Population Explained: Do Dead People Outnumber Living, Or Vice Versa?” Huffington Post, Howard (2012). We start developing simple deterministic Malthusian growth models of the problem (with birth and death rates...