8 research outputs found
Strong Large Deviations Principles of Non-Freidlin-Wentzell Type - Optimal Control Problem with Imperfect Information - Jumps Phenomena in Financial Markets
The paper presents, a new large deviations principles (SLDP) of non-Freidlin-Wentzell type, corresponding to the solutions Colombeau-Ito's SDE. Using SLDP we present a new approach to construct the Bellman function  and optimal control  directly by way of using strong large deviations principle for the solutions Colombeau-Ito's SDE. As important application such SLDP, the generic imperfect dynamic models of air-to-surface missiles are given in addition to the related simple guidance law. A four, examples have been illustrated proposed approach and corresponding numerical simulations have been illustrated and analyzed. Using SLDP approach, Jumps phenomena, in financial markets, also is considered. Jumps phenomena, in financial markets is explained from the first principles, without any reference to Poisson jump process. In contrast with a phenomenological approach we explain such jumps phenomena from the first principles, without any reference to Poisson jump process
Quantum Field Theory in fractal space-time with negative Hausdorff-Colombeau dimensions.The solution cosmological constant problem
We introduce Hausdorff-Colombeau measure in respect with negative fractal
dimensions. Axiomatic quantum field theory in spacetime with negative fractal
dimensions is proposed.Spacetime is modelled as a multifractal subset of
with positive and negative fractal dimensions.The cosmological constant
problem arises because the magnitude of vacuum energy density predicted by
quantum field theory is about 120 orders of magnitude larger than the value
implied by cosmological observations of accelerating cosmic expansion. We
pointed out that the fractal nature of the quantum space-time with negative
Hausdorff-Colombeau dimensions can resolve this tension. The canonical Quantum
Field Theory is widely believed to break down at some fundamental high-energy
cutoff and therefore the quantum fluctuations in the vacuum can be treated
classically seriously only up to this high-energy cutoff. In this paper we
argue that Quantum Field Theory in fractal space-time with negative
Hausdorff-Colombeau dimensions gives high-energy cutoff on natural way. In
order to obtain disered physical result we apply the canonical Pauli-Villars
regularization up to . It means that there exist the ghost-driven
acceleration of the univers hidden in cosmological constant.Comment: 206 pages,3 figures. arXiv admin note: substantial text overlap with
arXiv:0901.2208, arXiv:astro-ph/9708045, arXiv:1805.12293,
arXiv:hep-th/0012253, arXiv:hep-th/9502025, arXiv:0912.4757, arXiv:0901.3775
by other author
Electrodynamics in Noninertial Reference Frames
Abstract The electrodynamics both in RF with prescribed law of motion and in FR with prescribed structure is considered. Parallel comparison for solutions in "uniformly accelerated" NRF Möller system and in uniformly accelerated rigid NFR in the space of the constant curvature is carried out. The stationary criterion is formulated. On the basis of this criterion, one of the "eternal physical problems" concerning the field at uniformly accelerated charge motion is considered. The problems of electromagnetic wave spreading, Doppler's effect and field transformations are discussed