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ESAIM: Proceedings and Surveys, 2023 After a brief survey on rough paths theory, from the seminal paper of T. Lyons to its recent developments, this proceeding provides details on C. Bellingeri, Y. Bruned and A.
Bailleul Ismael +4 more
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Visual control of walking using terrain reconstructions [PDF]
Scientific ReportsIn rough terrain, walkers must use vision to select viable paths and to find suitable footholds within the time frame allowed by the gait cycle. How is this visuo-motor loop controlled?
Daniel P. Panfili +3 more
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Improved A* Algorithm for Mobile Robots under Rough Terrain Based on Ground Trafficability Model and Ground Ruggedness Model [PDF]
SensorsConsidering that the existing path planning algorithms for mobile robots under rugged terrain do not consider the ground flatness and the lack of optimality, which leads to the instability of the center of mass of the mobile robot, this paper proposes an
Zhiguang Liu +4 more
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Effect of stress path on shearing resistance of sandstone fractures [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 Triaxial and direct shear tests have been performed on rough (tension-induced) and smooth (saw-cut) fractures in Phra Wihan sandstone specimens. Two stress paths are used for the triaxial shear testing: constant confining stress and constant mean ...
Pakpoom Naphudsa +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2022 In this paper, we investigate the features of higher order Gubinelli derivatives of controlled rough paths having an arbitrary positive Holder index. There is used a notion of the (α, β)-rough map on the basis of which the sufficient conditions are given
Maksim M. Vaskovskii
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Rough Paths and Regularization
Journal of Stochastic Analysis, 2021 Calculus via regularizations and rough paths are two methods to approach stochastic integration and calculus close to pathwise calculus. The origin of rough paths theory is purely deterministic, calculus via regularization is based on deterministic techniques but there is still a probability in the background.
Gomes, André +3 more
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2021 Recently, the demand of complex shape parts has increased mainly in the aircraft and medical industries. In these parts machining, the displacement and vibration of workpiece that strongly affect the machining efficiency are induced as a result of the ...
Maho KUMANOTANI +2 more
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Proceedings of the London Mathematical Society, 2015 We introduce a notion of rough paths on embedded submanifolds and demonstrate that this class of rough paths is natural. On the way we develop a notion of rough integration and an efficient and intrinsic theory of rough differential equations (RDEs) on manifolds.
Cass, T, Driver, BK, Litterer, C
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A Fractal Model for Predicting the Relative Permeability of Rough-Walled Fractures
Advances in Civil Engineering, 2021 The relative permeability and saturation relationships through fractures are fundamental for modeling multiphase flow in underground geological fractured formations. In contrast to the traditional straight capillary model from porous media, the realistic
Zuyang Ye +4 more
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The valuation of barrier options under a threshold rough Heston model
Journal of Management Science and Engineering, 2023 In this paper, we propose a novel model for pricing double barrier options, where the asset price is modeled as a threshold geometric Brownian motion time changed by an integrated activity rate process, which is driven by the convolution of a fractional ...
Kevin Z. Tong, Allen Liu
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