Results 11 to 20 of about 71 (63)
Clark-Ocone type formulas in the Meixner white noise analysis
Karpatsʹkì Matematičnì Publìkacìï, 2013 In the classical Gaussian analysis the Clark-Ocone formula allows to reconstruct an integrand if we know the Ito stochastic integral. This formula can be written in the form$$F=\mathbf EF+\int\mathbf E\big\{\partial_t F|_{\mathcal F_t}\big\}dW_t,$$where ...
N. A. Kachanovsky
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Karpatsʹkì Matematičnì Publìkacìï, 2014 The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis.
M.M. Dyriv, N.A. Kachanovsky
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Karpatsʹkì Matematičnì Publìkacìï, 2016 The operators of stochastic differentiation, which are closely related with the extended Skorohod stochastic integral and with the Hida stochastic derivative, play an important role in the classical (Gaussian) white noise analysis.
N.A. Kachanovsky
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On extended stochastic integrals with respect to Lévy processes
Karpatsʹkì Matematičnì Publìkacìï, 2013 Let $L$ be a Levy process on $[0,+\infty)$. In particular cases, when $L$ is a Wiener or Poisson process, any square integrable random variable can be decomposed in a series of repeated stochastic integrals from nonrandom functions with respect to $L ...
N.A. Kachanovsky
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UEG Week 2023 Poster Presentations
, 2023 United European Gastroenterology Journal, Volume 11, Issue S8, Page 535-1498, October 2023.
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Addressing ecological challenges from a quantum computing perspective
Methods in Ecology and Evolution, Volume 17, Issue 3, Page 632-649, March 2026.Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet +2 more
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Global Change Biology, Volume 31, Issue 5, May 2025.This paper explores the contrasting differences in population trajectories for temperate reef fishes and invertebrates following seasonal and decadal temperature changes. Fishes exhibited seasonal fluctuations but decadal stability, while invertebrates did not change over such short‐term intervals but suffered from long‐term decline.
Yann Herrera Fuchs +6 more
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Diversity and Distributions, Volume 31, Issue 3, March 2025.ABSTRACT Aim Elucidating mechanisms underlying the formation and maintenance of communities remains a fundamental ecological question. However, the relative importance of niche and dispersal assembly might be contingent. Here, we aimed to investigate intertidal community dynamics to understand the process of community formation and maintenance ...
Dian Yu +16 more
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IET Intelligent Transport Systems, Volume 19, Issue 1, January/December 2025.This study presents a bi‐level optimization model for dynamic emergency lane clearing in the connected vehicle environment, focusing on optimizing lane‐changing trajectories for normal vehicles and identifying the optimal clearance trigger points. The proposed method significantly reduces clearing time, deceleration delays, and the number of affected ...
Tingting Zhu, Zhengwu Wang, Kejun Long
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