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Scaling limit of the heavy-tailed ballistic deposition model with -sticking
Francis Comets, Joseba Dalmau, Santiago Saglietti
Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of and stick to the interface…
Scale-free percolation in continuum space: quenched degree and clustering coefficient
Joseba Dalmau, Michele Salvi
Spatial random graphs capture several important properties of real-world networks. We prove quenched results for the continuum space version of scale-free percolation introduced in…
Galton-Watson and branching process representations of the normalized Perron-Frobenius eigenvector
Raphaël Cerf, Joseba Dalmau
Let be a primitive matrix and let be its Perron-Frobenius eigenvalue. We give formulas expressing the associated normalized Perron-Frobenius eigenvector as a simple functio…
The Wright--Fisher model for class--dependent fitness landscapes
Joseba Dalmau
We consider a population evolving under mutation and selection. The genotype of an individual is a word of length over a finite alphabet. Mutations occur during reproduction…