[HTML][HTML] Application of the Fractal Brownian Motion to the Athens Stock Exchange

J Leventides, E Melas, C Poulios, M Livada… - Fractal and …, 2024 - mdpi.com
The Athens Stock Exchange (ASE) is a dynamic financial market with complex interactions
and inherent volatility. Traditional models often fall short in capturing the intricate …

Fractal-domain Transformer Based on Learnable Multifractal Spectrum for Chaotic Systems Classification

G Xiong, W Huang, T Zhen, S Zhang - Physica A: Statistical Mechanics and …, 2024 - Elsevier
Conventional deep learning in the spatiotemporal-frequency domain frequently encounter
challenges in terms of slow convergence rates and limited generalization, particularly for …

Regularization of differential equations by two fractional noises

D Nualart, E Sönmez - arXiv preprint arXiv:2104.14971, 2021 - arxiv.org
In this paper we show the existence and uniqueness of a solution for a stochastic differential
equation driven by an additive noise which is the sum of two fractional Brownian motions …

Asymptotic analysis in problems with fractional processes

P Chigansky, M Kleptsyna - arXiv preprint arXiv:2409.09377, 2024 - arxiv.org
Some problems in the theory and applications of stochastic processes can be reduced to
solving integral equations. Such equations, however, rarely have explicit solutions. Useful …

[HTML][HTML] Prediction of Gaussian Volterra processes with compound Poisson jumps

HM Almani, F Shokrollahi, T Sottinen - Statistics & Probability Letters, 2024 - Elsevier
Prediction of Gaussian Volterra processes with compound Poisson jumps - ScienceDirect
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Estimation of the Hurst parameter from continuous noisy data

P Chigansky, M Kleptsyna - Electronic Journal of Statistics, 2023 - projecteuclid.org
This paper addresses the problem of estimating the Hurst exponent of the fractional
Brownian motion from continuous time noisy sample. When the Hurst parameter is greater …

Persistence probabilities of mixed FBM and other mixed processes

F Aurzada, M Kilian, E Sönmez - Journal of Physics A …, 2022 - iopscience.iop.org
We consider the sum of two self-similar centred Gaussian processes with different self-
similarity indices. Under the assumption of non-negative correlations and some further minor …

Transfer principle for fractional Ornstein-Uhlenbeck processes

T Sottinen, L Viitasaari - arXiv preprint arXiv:2311.00823, 2023 - arxiv.org
We prove the transfer principle for fractional Ornstein-Uhlenbeck processes, ie, we construct
a Brownian motion that has the same filtration as the fractional Ornstein-Uhlenbeck process …

Persistence problems for fractional processes

MAD Kilian - 2023 - tuprints.ulb.tu-darmstadt.de
In this thesis, we deal with several persistence problems for fractional processes.
Persistence concerns the event that a stochastic process has a long excursion staying below …

Research on the Preparation and Properties of Chitosan-Litsea Essential Oil Nanoemulsion Bilayer Pickering

C Cheng, S Sun, X He, Y Han, C Li, M Dong… - Available at SSRN … - papers.ssrn.com
Limonene and citral are common terpenoid components of Litsea essential oils (LEO), with
antioxidant and antibacterial properties. In this research, the non ionic surfactants were used …