Via the well known chaos decomposition with respect to the multidimensional Brownian motion, we give a possible quantization of a diffusion process (in particular, Brownian motion) on a Riemannian manifold. The quantized diffusion process on Riemannian manifold is a quantum Brownian motion on a Holbert space determined by the momentum algebra
We begin with a review and analytical construction of quantum Gaussian process (and quantum Brownian...
Introduction The most celebrated and useful random process surely is the standard Brownian motion i...
We study a (relativistic) Wiener process on a complexified (pseudo-)Riemannian manifold. Using Nelso...
Via the well known chaos decomposition with respect to the multidimensional Brownian motion, we give...
In the frame of Nelson stochastic quantization for dynamical systems on a manifold, we consider diff...
In non-equilibrium statistical mechanics, the entropy production is used to describe flowing in or p...
The kinetic Brownian motion is a family of stochastic processes indexed by a noise parameter, which ...
A basic 1982 treatment of stochastic differential equations on manifolds and their solution flows an...
Abstract—This primer explains how continuous-time stochastic processes (precisely, Brownian motion a...
Summary. We study a class of diffusions, conjugate Brownian motion, related to Brownian motion in Ri...
AbstractThe gradient and divergence operators of stochastic analysis on Riemannian manifolds are exp...
Albeverio S, Hu YZ, Röckner M, Zhou XY. Stochastic quantization of the two-dimensional polymer measu...
In this report we study Markov processes on compact and connected Riemannian manifolds. We define a ...
We define kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold, and p...
We construct a recurrent diffusion process with values in the space of probability measures over an ...
We begin with a review and analytical construction of quantum Gaussian process (and quantum Brownian...
Introduction The most celebrated and useful random process surely is the standard Brownian motion i...
We study a (relativistic) Wiener process on a complexified (pseudo-)Riemannian manifold. Using Nelso...
Via the well known chaos decomposition with respect to the multidimensional Brownian motion, we give...
In the frame of Nelson stochastic quantization for dynamical systems on a manifold, we consider diff...
In non-equilibrium statistical mechanics, the entropy production is used to describe flowing in or p...
The kinetic Brownian motion is a family of stochastic processes indexed by a noise parameter, which ...
A basic 1982 treatment of stochastic differential equations on manifolds and their solution flows an...
Abstract—This primer explains how continuous-time stochastic processes (precisely, Brownian motion a...
Summary. We study a class of diffusions, conjugate Brownian motion, related to Brownian motion in Ri...
AbstractThe gradient and divergence operators of stochastic analysis on Riemannian manifolds are exp...
Albeverio S, Hu YZ, Röckner M, Zhou XY. Stochastic quantization of the two-dimensional polymer measu...
In this report we study Markov processes on compact and connected Riemannian manifolds. We define a ...
We define kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold, and p...
We construct a recurrent diffusion process with values in the space of probability measures over an ...
We begin with a review and analytical construction of quantum Gaussian process (and quantum Brownian...
Introduction The most celebrated and useful random process surely is the standard Brownian motion i...
We study a (relativistic) Wiener process on a complexified (pseudo-)Riemannian manifold. Using Nelso...
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