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A modified Kardar-Parisi-Zhang model.

Da Prato, Giuseppe, Debussche, Arnaud, Tubaro, Luciano (2007)

Electronic Communications in Probability [electronic only]

Existence, uniqueness and ergodicity for the stochastic quantization equation

Dariusz Gątarek, Beniamin Gołdys (1996)

Studia Mathematica

Existence, uniqueness and ergodicity of weak solutions to the equation of stochastic quantization in finite volume is obtained as a simple consequence of the Girsanov theorem.

Markovian bridges and reversible diffusion processes with jumps

Nicolas Privault, Jean-Claude Zambrini (2004)

Annales de l'I.H.P. Probabilités et statistiques

Quantum probability, renormalization and infinite-dimensional *-Lie algebras.

Accardi, Luigi, Boukas, Andreas (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Scale-dependent functions, stochastic quantization and renormalization.

Altaisky, Mikhail V. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Some results about dissipativity of Kolmogorov operators

Giuseppe Da Prato, Luciano Tubaro (2001)

Czechoslovak Mathematical Journal

Given a Hilbert space $H$ with a Borel probability measure $ν$ , we prove the $m$ -dissipativity in $L^{1} (H, ν)$ of a Kolmogorov operator $K$ that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.