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We consider the β-Laguerre ensemble, a family of distributions generalizing the joint eigenvalue distribution of the Wishart random matrices. We show that the bulk scaling limit of these ensembles exists for all β > 0 for a general family of parameters and it is the same as the bulk scaling limit of the corresponding β-Hermite ensemble.
The Marcus-Lushnikov process is a finite stochastic particle system, in which each particle is entirely characterized by its mass. Each pair of particles with masses x and y merges into a single particle at a given rate K(x, y). Under certain assumptions, this process converges to the solution to the Smoluchowski coagulation equation, as the number of… (More)
The present study aimed to evaluate and compare the ability of front face (FFFS) and synchronous fluorescence spectroscopy (SFS) to predict total fat and FA composition of beef LT muscles coming from 36 animals of 3 breeds (Angus, Limousin and Blond d'Aquitaine). The regression models were performed by using Partial Least Square (PLS) method. In spite of… (More)
J o u r n a l o f P r o b a b i l i t y Electron. Abstract We show that in the Schrödinger point process, Schτ , τ > 0, the probability of having no eigenvalue in a fixed interval of size λ is given by exp − λ 2 4τ + 2 τ − 1 4 λ + o(λ) , as λ → ∞. It is a slightly more precise version of the formula given in a previous work.