In this paper, we show that a continuous spectrum of randomisation exists, in which most existing tree randomisations are only operating around the two ends of the spectrum. That leaves a huge part of the spectrum largely unexplored. We propose a base learner VR-Tree which generates trees with variable-randomness. VR-Trees are able to span from the conventional deterministic trees to the comple...

The number of jet and rocket noise studies has increased in recent years as researchers have sought to better understand aeroacoustic source and radiation characteristics using predominantly linear reconstruction techniques. While jet and rocket noise is often finite-amplitude in nature, little is known about the existence of shock formation and coalescence close to the source. A numerical expe...

We study the coalescence of two drops of an ideal fluid driven by surface tension. The velocity of approach is taken to be zero and the dynamical effect of the outer fluid (usually air) is neglected. Our approximation is expected to be valid on scales larger than ℓ ν = ρν 2 /σ, which is 10nm for water. Using a high-precision boundary integral method, we show that the walls of the thin retractin...

Coalescence theory predicts when genetic drift at nuclear loci will result in fixation of sequence differences to produce monophyletic gene trees. However, the theory is difficult to apply to particular taxa because it hinges on genetically effective population size, which is generally unknown. Neutral theory also predicts that evolution of monophyly will be four times slower in nuclear than in...

Drop coalescence is central to diverse processes involving dispersions of drops in industrial, engineering, and scientific realms. During coalescence, two drops first touch and then merge as the liquid neck connecting them grows from initially microscopic scales to a size comparable to the drop diameters. The curvature of the interface is infinite at the point where the drops first make contact...

In this work the model of droplets coalescence in liquid/liquid dispersions in flow through fibrous media is proposed. It is derived for the computation cell being a cubicoid that comprises a single mesh gap and equal volumes upstream and downstream, which size corresponds to a packing factor of the filter media. The numerical approach takes into account deposition of droplets on the fibres as ...

Consider a critical Erdos–Rényi random graph: $n$ is the number of vertices, each one $\tbinom{n}{2}$ possible edges kept in graph independently from others with probability $n^{-1}+\lambda n^{-4/3}$, $\lambda $ being fixed real number. When goes to infinity, Addario-Berry, Broutin and Goldschmidt (Probab. Theory Related Fields 152 (2012) 367–406) have shown that collection connected components...