Alan S. Pereira

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math.PR2024

Constrained-degree percolation on the hypercubic lattice: uniqueness and some of its consequences

Weberson S. Arcanjo, Alan S. Pereira, Diogo C. dos Santos +2

We consider the constrained-degree percolation (CDP) model on the hypercubic lattice. This is a continuous-time percolation model defined by a sequence $(U_{e})_{e \in E^{d}}$ …

math.PR2018

Concentration in the Generalized Chinese Restaurant Process

Alan Pereira, Roberto I. Oliveira, Rodrigo Ribeiro

The Generalized Chinese Restaurant Process (GCRP) describes a sequence of exchangeable random partitions of the numbers ${1, \dots, n}$ . This process is related to the Ewens sampli…

math.PR2018

Finding the seed of uniform attachment trees

Gabor Lugosi, Alan S. Pereira

A uniform attachment tree is a random tree that is generated dynamically. Starting from a fixed "seed" tree, vertices are added sequentially by attaching each vertex to an existing…