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math.PR2016★ 2 cited
Singularities of stable super-Brownian motion
Paul Balança, Leonid Mytnik
We investigate in this work the spectrum of singularities of super-Brownian motion with stable branching. The main purpose is to provide a uniform description of the latter in high…
math.PR2013★ 9 cited
Fine regularity of Lévy processes and linear (multi)fractional stable motion
Paul Balança
In this work, we investigate the fine regularity of Lévy processes using the 2-microlocal formalism. This framework allows us to refine the multifractal spectrum determined by Jaff…
math.PR2011★ 9 cited
2-microlocal analysis of martingales and stochastic integrals
Paul Balança, Erick Herbin
Recently, a new approach in the fine analysis of stochastic processes sample paths has been developed to predict the evolution of the local regularity under (pseudo-)differential o…