Feynman-Kac representation for the parabolic Anderson model driven by fractional noise

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All rights reserved.Introduction Gait and mobility impairment are pivotal signs of parkinsonism, and they are particularly severe in atypical parkinsonian disorders including multiple system atrophy (MSA) and progressive supranuclear palsy (PSP). A pilot s ...

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The sequence of codes Serpent/DYN3D has been developed by the Helmholtz-Zentrum Dresden-Rossendorf and successfully applied to core static and transient analyses of sodium-cooled fast reactors (SFRs). The successful application of the sequence to SFRs was ...

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

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In an open, bounded subset Omega of R-N such that 0 is an element of Omega we consider the nonlinear eigenvalue problem -Sigma(N)(i,j,=1) partial derivative(i){A(ij)(x)partial derivative(j)u} + V(x)u + n(x,del u)+ g(x, u) = lambda u in Omega integral(Omega ...

The idea that the brain functions so as to minimize certain costs pervades theoretical neuroscience. Because a cost function by itself does not predict how the brain finds its minima, additional assumptions about the optimization method need to be made to ...

Feynman-Kac representation for the parabolic Anderson model driven by fractional noise

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IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Nonparametric estimation for SDE with sparsely sampled paths: An FDA perspective

Detecting whether a stochastic process is finitely expressed in a basis

Extension, validation, and optimization of Serpent/DYN3D/ATHLET code system for SFR applications

The multivariate Serre conjecture ring

Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields

Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence

Stochastic derivative estimation for max-stable random fields

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Unraveling looping efficiency of stochastic Cosserat polymers

Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions

Polarity Of Almost All Points For Systems Of Nonlinear Stochastic Heat Equations In The Critical Dimension

The domain of definition of the Levy white noise

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

A computational workflow for the expansion of heterologous biosynthetic pathways to natural product derivatives

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical method

Probabilistic and Bayesian methods for uncertainty quantification of deterministic and stochastic differential equations

A critically degenerate elliptic Dirichlet problem, spectral theory and bifurcation

On the choice of metric in gradient-based theories of brain function