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than disseminated. After the introduction of highly active ART (HAART), we again observed cases of MAC disease presenting in a similar way, and we also observed infectious and/or inflammatory disease caused by other pathogens [4–6]. As argued elsewhere [4, 7], we believe that these disease events also reflected the restoration of pathogen-specific immune… (More)
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)
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.