Results 81 to 90 of about 92,103 (370)

Recent Advances in Collective Behaviors of Micro/Nanomotor Swarms

Advanced Materials, EarlyView.
This review describes the driving forces behind collective motion, explores the self‐organization of micro/nano swarms across zero‐dimensional (0D), one‐dimensional (1D), two‐dimensional (2D), and three‐dimensional (3D) spaces, and highlights their potential in drug delivery, environmental monitoring, and smart devices.
Siwen Sun, Bingbing Sun, Alexander B. Cook, Tania Patiño Padial, Jan C. M. van Hest   +4 more
wiley   +1 more source

Small values and functional laws of the iterated logarithm for operator fractional Brownian motion

Open Mathematics
The multivariate Gaussian random fields with matrix-based scaling laws are widely used for inference in statistics and many applied areas. In such contexts, interests are often Hölder regularities of spatial surfaces in any given direction.
Wang Wensheng, Dong Jingshuang
doaj   +1 more source

Moderate deviation principle for multiscale systems driven by fractional Brownian motion [PDF]

, 2022
Solesne Bourguin, Thanh Dang, Konstantinos Spiliopoulos   +2 more
openalex   +1 more source

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.
openaire   +2 more sources

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, Üstünel, Ali Süleyman   +1 more
openaire   +2 more sources

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
wiley   +1 more source

Stochastic differential equation involving Wiener process and fractional Brownian motion with Hurst index $H> 1/2$

, 2011
We consider a mixed stochastic differential equation driven by possibly dependent fractional Brownian motion and Brownian motion.
Garsia A. M., Georgiy M. Shevchenko, Kleptsyna M., Kubilius K., Nualart D., Samko S., Yulia S. Mishura   +6 more
core   +1 more source

Near‐Infrared‐Driven Metal–Organic Frameworks‐Based Nanorobots for Controlled Photothermal‐Chemical Therapy Synergistic Induction of Cancer Cell Death

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, Jie Yang, Yongcheng Li, Yuepeng Cai, Xiaosong Zhou, Ting Chen, Renfeng Dong   +6 more
wiley   +1 more source

Brownian motion effects on analytical solutions of a fractional-space long–short-wave interaction with conformable derivative

Results in Physics, 2022
In this article, we consider the stochastic fractional-space long–short-wave interaction system (SFS-LSWIs) forced by multiplicative Brownian motion. To obtain a new exact stochastic fractional-space solutions, we apply two different methods such as sin ...
Wael W. Mohammed, Naveed Iqbal, Abeer M. Albalahi, A.E. Abouelregal, D. Atta, H. Ahmed, M. El-Morshedy   +6 more
doaj   +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.
openaire   +2 more sources