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4 papers · 2 filters
Asymptotic Spectra of Matrix-Valued Functions of Independent Random Matrices and Free Probability
F. Götze, H. Kösters, A. Tikhomirov
We investigate the universality of singular value and eigenvalue distributions of matrix valued functions of independent random matrices and apply these general results in several…
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
Michael Rockner, Rongchan Zhu, Xiangchan Zhu
In this paper, we present a general framework for solving stochastic functional differential equations in infinite dimensions in the sense of martingale solutions, which can be app…
Stochastic variational inequalities and regularity for degenerate stochastic partial differential equations
Benjamin Gess, Michael Röckner
The regularity and characterization of solutions to degenerate, quasilinear SPDE is studied. Our results are two-fold: First, we prove regularity results for solutions to certain d…
A stochastic Fokker-Planck equation and double probabilistic representation for the stochastic porous media type equation
Viorel Barbu, Michael Röckner, Francesco Russo
The purpose of the present paper consists in proposing and discussing a double probabilistic representation for a porous media equation in the whole space perturbed by a multiplica…