We introduce a modification in the relativistic hamiltonian in such a way that (1) the relativistic Schr\"odinger equations can always be based on an underlying L\'evy process, (2) several families of particles with different rest masses can be selected, and finally (3) the corresponding Feynman diagrams are convergent when we have at least three different masses
11pagesInternational audienceFor real Lévy processes $(X_t)_{t \geq 0}$ having no Brownian component...
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian...
Consider M\o{}ller scattering. Electrons with momentum $p$ and $-p$ scatter by exchange of photon sa...
We introduce a modification in the relativistic hamiltonian in such a way that (1) the relativistic ...
In continuation of a previous paper a close connection between Feynman propagators and a particular ...
In this paper for the Mittag-Leffler function E_α (z) we dene E_α (t^α A), when A is the generator o...
We consider the problem of determining the noise coefficients of the Hamiltonian associated with a F...
The asymptotic behavior of the general type third order non-autonomous oscillating system under the ...
AbstractA representation of the potential operator of an absorbing Lévy process in the half space (0...
A systematic method for calculating higher-order corrections of the relativistic semiclassical fixed...
We prove the existence and uniqueness of strong solutions for linear stochastic differential equatio...
We show the existence of a semimartingale of which one-dimensional marginal distributions are given ...
Three years after the completion of the next-to-leading order calculation, the status of the theoret...
AbstractWe show that the sum rule recently proved by Uraltsev in the heavy quark limit of QCD holds ...
In this paper, we study the one-dimensional transport process in the case of disbalance. In the hydr...
11pagesInternational audienceFor real Lévy processes $(X_t)_{t \geq 0}$ having no Brownian component...
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian...
Consider M\o{}ller scattering. Electrons with momentum $p$ and $-p$ scatter by exchange of photon sa...
We introduce a modification in the relativistic hamiltonian in such a way that (1) the relativistic ...
In continuation of a previous paper a close connection between Feynman propagators and a particular ...
In this paper for the Mittag-Leffler function E_α (z) we dene E_α (t^α A), when A is the generator o...
We consider the problem of determining the noise coefficients of the Hamiltonian associated with a F...
The asymptotic behavior of the general type third order non-autonomous oscillating system under the ...
AbstractA representation of the potential operator of an absorbing Lévy process in the half space (0...
A systematic method for calculating higher-order corrections of the relativistic semiclassical fixed...
We prove the existence and uniqueness of strong solutions for linear stochastic differential equatio...
We show the existence of a semimartingale of which one-dimensional marginal distributions are given ...
Three years after the completion of the next-to-leading order calculation, the status of the theoret...
AbstractWe show that the sum rule recently proved by Uraltsev in the heavy quark limit of QCD holds ...
In this paper, we study the one-dimensional transport process in the case of disbalance. In the hydr...
11pagesInternational audienceFor real Lévy processes $(X_t)_{t \geq 0}$ having no Brownian component...
AbstractWe prove a parabolic version of the Littlewood–Paley inequality for the fractional Laplacian...
Consider M\o{}ller scattering. Electrons with momentum $p$ and $-p$ scatter by exchange of photon sa...