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Quenched invariance principle for a class of random conductance models with long-range jumps

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2021; 180 (3-4)

We study random walks on Z(d) (with d >= 2) among stationary ergodic random conductances {C-x,C-y : x, y is an element of Z(d)} that permit jumps o......

High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations

期刊: PROBABILITY THEORY AND RELATED FIELDS, ; ()

The paper is concerned with the problem of regularization by noise of 3D Navier-Stokes equations. As opposed to several attempts made with additive no......

On the maximal displacement of near-critical branching random walks

期刊: PROBABILITY THEORY AND RELATED FIELDS, ; ()

We consider a branching random walk on Z started by n particles at the origin, where each particle disperses according to a mean-zero random walk with......

Optimal bilinear control of stochastic nonlinear Schrodinger equations: mass-(sub)critical case

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2020; 178 (1-2)

We study optimal control problems for stochastic nonlinear Schrodinger equations in both the mass subcritical and critical case. For general initial d......

Fine mesh limit of the VRJP in dimension one and Bass-Burdzy flow

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2020; 177 (1-2)

We introduce a continuous space limit of the vertex reinforced jump process (VRJP) in dimension one, which we call linearly reinforced motion (LRM) on......

Superposition principle for non-local Fokker-Planck-Kolmogorov operators

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2020; 178 (3-4)

We prove the superposition principle for probability measure-valued solutions to non-local Fokker-Planck-Kolmogorov equations, which in turn yields th......

Ornstein-Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2020; 178 (3-4)

We consider a perturbation of a Hilbert space-valued Ornstein-Uhlenbeck process by a class of singular nonlinear non-autonomous maximal monotone time-......

Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2020; 176 (1-2)

We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded n......

Parabolic type equations associated with the Dirichlet form on the Sierpinski gasket

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2019; 175 (3-4)

By using analytic tools from stochastic analysis, we initiate a study of some non-linear parabolic equations on Sierpinski gasket, motivated by modell......

JIF:2.45

Asymptotics for 2D critical and near-critical first-passage percolation

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2019; 175 (3-4)

We study Bernoulli first-passage percolation (FPP) on the triangular lattice in which sites have 0 and 1 passage times with probability p and 1- p, re......

JIF:2.45

rho-White noise solution to 2D stochastic Euler equations

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2019; 175 (3-4)

A stochastic version of 2D Euler equations with transport type noise in the vorticity is considered, in the framework of Albeverio-Cruzeiro theory (Co......

JIF:2.45

Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2019; 173 (3-4)

In this paper, we define an extension of the supersymmetric hyperbolic nonlinear sigma model introduced by Zirnbauer. We show that it arises as a weak......

JIF:2.45

Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures

期刊: PROBABILITY THEORY AND RELATED FIELDS, 2019; 174 (1-2)

Let {(v):vVN} be a discrete Gaussian free field in a two-dimensional box VN of side length N with Dirichlet boundary conditions. We study the Liouvill......

JIF:2.45

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