The operators of stochastic calculus

Quantum stochastic calculus (81S25) Stochastic calculus of variations and the Malliavin calculus (60H07) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Stochastic quantization (81S20)

Cites Work

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Malliavin calculus and optimal control of stochastic Volterra equations
Malliavin calculus for regularity structures: the case of gPAM
On stochastic conservation laws and Malliavin calculus
On free stochastic processes and their derivatives
A class of Gaussian processes with fractional spectral measures
A \(C^*\)-algebraic Schoenberg theorem
Stability conditions on product varieties
Malliavin derivatives and derivatives of functionals of the Wiener process with respect to a scale parameter
The Malliavin calculus, a functional analytic approach
Positive elements in the algebra of the quantum moment problem
Malliavin calculus and stochastic analysis. A Festschrift in honor of David Nualart
Selected topics in Malliavin calculus. Chaos, divergence and so much more
Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits
A note on the Malliavin derivative operator under change of variable
Factorisable representations of current groups and the Araki-Woods imbedding theorem
Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
Topologies induced by representations of the canonical commutation relations
Spectral Theory for Gaussian Processes: Reproducing Kernels, Boundaries, and L²-Wavelet Generators with Fractional Scales
Stochastic Processes Induced by Singular Operators
An introduction to white–noise theory and Malliavin calculus for fractional Brownian motion
RANDOM HERMITE POLYNOMIALS AND GIRSANOV IDENTITIES ON THE WIENER SPACE
INFINITE DIMENSIONAL LAPLACIANS ASSOCIATED WITH DERIVATIVES OF WHITE NOISE
A spectral theorem for nonlinear operators
Non adapted Stochastic Calculus as third quantization
Representation theory of vertex operator algebras and orbifold conformal field theory
Representations of Dirichlet operator algebras
White noise delta functions and infinite-dimensional Laplacians
Harmonic analysis on Hilbert space
Unbounded Hankel operators and the flow of the cubic Szegő equation
The near-critical two-point function and the torus plateau for weakly self-avoiding walk in high dimensions
Malliavin calculus and densities for singular stochastic partial differential equations
A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus
The free field: realization via unbounded operators and Atiyah property
Markov properties for Gaussian fields associated with Dirichlet forms

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