Fractional dynamics is a field of study in physics and mechanics investigating the behavior
of objects and systems that are characterized by power-law nonlocality, power-law long-term …

We construct in a rigorous mathematical way interacting quantum field theories on ap-adic
spacetime. The main result is the construction of a measure on a function space which …

This paper considers fractional generalization of finite temperature Klein–Gordon (KG) field
and vector potential in covariant gauge and static temporal gauge. Fractional derivative …

We describe a class of explicit invariant measures for stochastic differential equations driven
by Lévy noise. We relate them to the corresponding Fokker Planck equation. In the …

In this article we construct a large class of interacting Euclidean quantum field theories, over
a p-adic space time, by using white noise calculus. We introduce p-adic versions of the …

A condition on a set of truncated Wightman functions is formulated and shown to permit the
construction of the Hilbert space structure included in the Morchio--Strocchi modified …

We construct p-adic Euclidean random fields Φ Φ over Q _ p^ NQ p N, for arbitrary N, these
fields are solutions of p-adic stochastic pseudodifferential equations. From a mathematical …

We construct a class of Euclidean invariant distributions Φ H indexed by a function H
holomorphic at zero. These generalized functions can be considered as generalized …

In this paper we construct the β-fractional α-stable processes and sheets as functionals of α-
stable white noises by using a transformation induced from fractional integral operators. This …

A review of work on the description of generators and processes associated with stochastic
(partial or pseudo-) differential equations driven by general white noises (including jump as …