… In this paper the method of stochastic quantization introduced by Parisi and Wu is extended
… A new non-perturbative regulator based on stochastic quantization is introduced. This …

… we design a stochastic mask regularization which combines the deterministic quantization
and stochastic quantization by applying a stochastic mask to coordinate the image regions for …

… INTRODUCTION In these lectures I will give a review of the present status of stochastic
quantization including sc~e new results. Although the subject falls within the dcmain of Quantt~n …

… of quantization; … quantizing gauge fields and in performing large numerical simulations,
which have never been obtained by the other methods. I believe that the stochastic quantization …

… N-limit, stochastic quantization in Minkowski space and stochastic regularization. Finally
we describe … concerning the numerical possibilities associated with stochastic quantization. …

… regularized acts … regularization and is really allowed to disregard this contribution to the
action. To understand the significance of this divergent term, we shall keep it in some regularized …

… Moreover, we use the entropy-regularized Wasserstein distance to evaluate the quality of
the soft quantization problem’s approximation, and we implement a stochastic gradient …

… Therefore, we regularize the distribution of the weights in a quantization bin to be a “sharp”
Gaussian distribution (ie a Dirac delta distribution ideally): its mean approaching …

We prove an explicit formula for the law in zero of the solution of a class of elliptic SPDE in
ℝ². This formula is the simplest instance of dimensional reduction, discovered in the physics …

… solve the stochastic quantization equation, in their original or regularized version, have been
… (2) The regularized stochastic quantization equation has also been discussed for other 2 …