Results 61 to 70 of about 34,973 (262)
Are Fractional Brownian Motions Predictable? [PDF]
, 2011 We provide a device, called the local predictor, which extends the idea of the predictable compensator. It is shown that a fBm with the Hurst index greater than 1/2 coincides with its local predictor while fBm with the Hurst index smaller than 1/2 does not admit any local predictor.
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Fractional Brownian motion: theory and applications [PDF]
ESAIM: Proceedings, 1998 The authors present new theoretical results on the fractional Brownian motion including different definitions of the stochastic integral with respect to the fractional Brownian motion and their relationships. They present several applications in different fields: queueing networks, filtering theory, mathematical finance.
Decreusefond, Laurent +1 more
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Modulus‐Switchable Miniature Robots for Biomedical Applications: A Review
Advanced Robotics Research, EarlyView.Materials, robot designs, proof‐of‐concept functions, and biomedical applications of modulus‐switchable miniature robots. Miniature soft robots have shown great potential in biomedical applications due to their excellent controllability and suitable mechanical properties in biological environments.
Chunyun Wei, Yibin Wang, Jiangfan Yu
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Bio‐Propelled Stomatocyte Nanomotors with Glutathione‐Responsiveness for Osteoarthritis Treatment
Angewandte Chemie, EarlyView.Glutathione (GSH)‐responsive stomatocyte nanomotors with encapsulated MTX utilize oxygen to achieve autonomous motion and undergo GSH‐induced dissociation, enhancing cellular uptake, tissue penetration, and MTX release within the osteoarthritis (OA) region, thereby improving therapeutic efficacy.
Jianhong Wang +12 more
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Asian Option Pricing with Monotonous Transaction Costs under Fractional Brownian Motion
Journal of Applied Mathematics, 2013 Geometric-average Asian option pricing model with monotonous transaction cost rate under fractional Brownian motion was established. The method of partial differential equations was used to solve this model and the analytical expressions of the Asian ...
Di Pan +3 more
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Advanced Robotics Research, EarlyView.To achieve efficient cancer cell death, a bowl‐shaped PDA@UiO‐66@DOX nanorobot drug‐delivery nanoplatform was developed. Near‐infrared irradiation not only drives the nanorobot to exhibit self‐thermophoretic motion and elevates temperature but also triggers Doxorubicin (DOX) release via hyperthermia, enhancing cancer cells uptake of DOX and thereby ...
Tong Lin +6 more
wiley +1 more source
Lacunary Fractional Brownian Motion [PDF]
ESAIM: Probability and Statistics, 2012 In this paper, a new class of Gaussian field is introduced called Lacunary Fractional Brownian Motion. Surprisingly we show that usually their tangent fields are not unique at every point. We also investigate the smoothness of the sample paths of Lacunary Fractional Brownian Motion using wavelet analysis.
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Nonparametric Regression with Subfractional Brownian Motion via Malliavin Calculus
Abstract and Applied Analysis, 2014 We study the asymptotic behavior of the sequence Sn=∑i=0n-1K(nαSiH1)(Si+1H2-SiH2), as n tends to infinity, where SH1 and SH2 are two independent subfractional Brownian motions with indices H1 and H2, respectively. K is a kernel function and the bandwidth
Yuquan Cang, Junfeng Liu, Yan Zhang
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, 2011 We consider a mixed stochastic differential equation involving both standard Brownian motion and fractional Brownian motion with Hurst parameter $H>1/2$.
Mishura, Yulia, Shevchenko, Georgiy
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Advanced Science, EarlyView.A new class of biohybrid spheroids is engineered through the self‐assembly of adherent cells and extracellular matrix‐mimetic hydrogel microparticles (microgels). By mimicking a snowballing effect, this approach enables scalable formation of porous, millimeter‐scale spheroids with enhanced cell viability and molecular diffusion.
Zaman Ataie +7 more
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