Leandro P. R. Pimentel
Published 2017-04-06Version 1
The Airy processes describe spatial fluctuations in wide range of growth models, where each particular Airy process arising in each case depends on the geometry of the initial profile. We show how the coupling method, developed in the last-passage percolation context, can be used to prove that several types of Airy processes have a continuous version, and behave locally like a Brownian motion.
Uniform dispersion in growth models on homogeneous trees
On Eigenvalues of the sum of two random projections
Local behavior and hitting probabilities of the Airy1 process
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