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20022009
most citedScattering theory for the Schrodinger equation with repulsive potential

28 citations

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5 papers · 1 filter

math.PR200811 cited

Surface tension in the dilute Ising model. The Wulff construction

Marc Wouts

We study the surface tension and the phenomenon of phase coexistence for the Ising model on $\mathbbm{Z}^d$ () with ferromagnetic but random couplings. We prove the…

math.PR20077 cited

Level sets of the stochastic wave equation driven by a symmetric Lévy noise

Davar Khoshnevisan, Eulalia Nualart

We consider the solution of a system of linear stochastic wave equations driven by a -dimensional symmetric space-time Lévy noise. We prov…

math.PR2007

On the regularity of stochastic currents, fractional Brownian motion and applications to a turbulence model

Franco Flandoli, Massimiliano Gubinelli, Francesco Russo

We study the pathwise regularity of the map where is a vector function on belonging to some Banach space , is a stoc…

math.PR2007

Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees

Yueyun Hu, Zhan Shi

We establish a second-order almost sure limit theorem for the minimal position in a one-dimensional super-critical branching random walk, and also prove a martingale convergence th…

math.PR200613 cited

How do random Fibonacci sequences grow?

Elise Janvresse, Benoît Rittaud, Thierry De La Rue

We study two kinds of random Fibonacci sequences defined by and for , (linear case) or (non-linear…