Results 71 to 80 of about 37,570 (330)

Asymptotic theory for fractional regression models via Malliavin calculus

, 2010
We study the asymptotic behavior as $n\to \infty$ of the sequence $$S_{n}=\sum_{i=0}^{n-1} K(n^{\alpha} B^{H_{1}}_{i}) (B^{H_{2}}_{i+1}-B^{H_{2}}_{i})$$ where $B^{H_{1}}$ and $B^{H_{2}}$ are two independent fractional Brownian motions, $K$ is a kernel ...
Bourguin, Solesne, Tudor, Ciprian
core   +2 more sources

Radical Retention and Functional Stability of Plasma‐Polymerized Nanoparticles for Long‐Term Biofunctionalization

Advanced Materials Interfaces, EarlyView.
Plasma polymerized nanoparticles (PPNs) offer a solvent‐free route to functional nanocarriers with long‐lived radicals. This study establishes design principles for long‐term storage of PPNs, demonstrating that dry‐phase storage retains radical content, covalent reactivity, and bioactivity over extended periods. These findings advance the translational
Elmer Austria Jr., Laura Libnan Haidar, Jukkrit Nootem, Elizabeth New, Masoud Zhianmanesh, Hong Zhao, Zhong Zheng, Zongwen Liu, Stuart T. Fraser, Seyedeh Khadijeh Alavi, Marcela Bilek, Behnam Akhavan   +11 more
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

The fractional mixed fractional brownian motion and fractional brownian sheet [PDF]

ESAIM: Probability and Statistics, 2007
We introduce the fractional mixed fractional Brownian motion and fractional Brownian sheet, and investigate the small ball behavior of its sup-norm statistic. Then, we state general conditions and characterize the sufficiency part of the lower classes of some statistics of the above process by an integral test.
openaire   +1 more source

Shaping Microbial Motion with Light: A Contactless Approach Using Diffusioosmotic Flow

Advanced Materials Interfaces, EarlyView.
Light‐controlled, contactless manipulation of cyanobacteria using photoresponsive azobenzene surfactants. Reversible photo‐isomerization generates surface flow, enabling precise trapping, relocation, and directional control of single cells or ensembles with adjustable light intensity and wavelength for noninvasive, spatiotemporally resolved microbial ...
Maren Umlandt, Pooja Arya, Nino Lomadze, Arthur Guljamow, Elke Dittmann, Svetlana Santer   +5 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

Optimization of small deviation for mixed fractional Brownian motion with trend

, 2018
In this paper, we investigate two-sided bounds for the small ball probability of a mixed fractional Brownian motion with a general deterministic trend function, in terms of respective small ball probability of a mixed fractional Brownian motion without ...
MacKay, Anne, Melnikov, Alexander, Mishura, Yuliya   +2 more
core   +1 more source

Co‐Solvent‐Aided Opto‐Thermophoretic Printing of Gold Nanorod Assemblies

Advanced Optical Materials, EarlyView.
A focused laser beam creates a thermal gradient, driving the gold nanorods and polymer coils toward the heated region of the glass substrate, i.e, the laser spot. After the adsorption of the polymer on the gold surface, the nanorods start to assemble onto the surface in a ring‐shaped pattern that grows radially until the beam is turned off.
Ana Jiménez Amaya, Claire Goldmann, Maike C. Haidasch, Cyrille Hamon, Eric H. Hill   +4 more
wiley   +1 more source

Stochastic Differential Equations Driven by Fractional Brownian Motion and Standard Brownian Motion

, 2008
We prove an existence and uniqueness theorem for solutions of multidimensional, time dependent, stochastic differential equations driven simultaneously by a multidimensional fractional Brownian motion with Hurst parameter H>1/2 and a multidimensional ...
David Nualart, Hamadouche D., João Guerra, Kolmogorov A.N., Lyons T., Lyons T., Nualart D., Samko S.G., Skorokhod A.V., Yamada T.   +9 more
core   +2 more sources

Interfacial Assembly of Dye‐Doped Microparticles Driven by Combined Optical and Non‐Optical Forces

Advanced Optical Materials, EarlyView.
Optical trapping controls nano‐ and microparticle assembly using various forces, including absorption for photoexcitable resonant molecules. This study demonstrates photoexcitation‐mediated assembly, forming hexagonal‐close‐packed structures at the air/solution interface.
Qing Qing Wang, Jim Jui‐Kai Chen, Yu‐Chia Chang, Boris Louis, Rafael Delgado‐Buscalioni, Shuichi Toyouchi, Hiroshi Masuhara, Susana Rocha, Johan Hofkens, Roger Bresolí‐Obach   +9 more
wiley   +1 more source