We prove that the random variable T = argmaxt∈R{A2(t)−t2}, where A2 is the Airy2 process, has tails which decay like e−ct3 . The distribution of T is a universal distribution which governs the rescaled endpoint of directed ...

We propose and study, by means of Monte Carlo numerical simulations, a minimal discrete model for avascular tumor growth, which can also be applied for the description of cell cultures in vitro. The interface of the tumor ...

We obtain exact formulas for moments and generating functions of the height function of the asymmetric simple exclusion process at one spatial point, starting from special initial data in which every positive even site is ...

Neste trabalho desenvolvemos um método para obter a equação de KardarParisi-Zhang (KPZ) a partir do modelo de corrosão (Etching Model) desenvolvido por Mello et al. O modelo é um autômato celular cujas regras de remoção ...

The one dimensional Kardar–Parisi–Zhang universality class is believed to describe many types of evolving interfaces which have the same characteristic scaling exponents. These exponents lead to a natural renormalizati ...