Results 21 to 30 of about 1,268 (179)
Frontiers in Physics, 2022 Let SH be a sub-fractional Brownian motion with index 12<H<1. In this paper, we consider the linear self-interacting diffusion driven by SH, which is the solution to the equationdXtH=dStH−θ(∫0tXtH−XsHds)dt+νdt,X0H=0,where θ < 0 and ν∈R are two ...
Han Gao, Rui Guo, Yang Jin, Litan Yan
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eLife, 2021 Hundreds of genes interact with the yeast nuclear pore complex (NPC), localizing at the nuclear periphery and clustering with co-regulated genes. Dynamic tracking of peripheral genes shows that they cycle on and off the NPC and that interaction with the ...
Michael Chas Sumner +3 more
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Itô's formula for a sub-fractional Brownian motion
Communications on Stochastic Analysis, 2011 In this paper we consider stochastic calculus connected with sub- fractional Brownian motion S H with H 2 ( 1 ;1) and narrow the focus to obtain various versions of It^o's formula. We introduce the integral of deter- ministic functions f with respect to the local time L H (x;t) of S H and the weighted quadratic covariation (f(S H );S H ) (W) .
Litan Yan, Guangjun Shen, Kun He
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Frontiers in Physics, 2022 In this study, as a continuation to the studies of the self-interaction diffusion driven by subfractional Brownian motion SH, we analyze the asymptotic behavior of the linear self-attracting diffusion:dXtH=dStH−θ∫0t(XtH−XsH)dsdt+νdt,X0H=0,where θ > 0 ...
Rui Guo, Han Gao, Yang Jin, Litan Yan
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Click'n ROPISA: One‐Pot Synthesis of Ultrabright Fluorescent Nanoparticles Made of Polypeptides
Angewandte Chemie, EarlyView.Self‐assembly and fluorophore conjugation proceed rapidly in a one‐pot “Click'n ROPISA” process, yielding intensely fluorescent polypeptide nanoparticles with tunable visible emission. High dye loading enables efficient energy transfer and single‐particle visualization, while the straightforward synthesis provides versatile access to bright ...
Amin El Jarroudi Hammou +7 more
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PLoS ONE, 2021 Human pluripotent stem cells (hPSCs) have the potential to differentiate into all cell types, a property known as pluripotency. A deeper understanding of how pluripotency is regulated is required to assist in controlling pluripotency and differentiation ...
L. E. Wadkin +5 more
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Impulsive fractional stochastic differential inclusions driven by sub-Fractional Brownian motion with infinite delay and sectorial operators [PDF]
Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, 2021 Summary: We investigate the existence of mild solutions of impulsive fractional stochastic differential inclusions driven by sub-fractional Brownian motion \(S_Q^H\) with infinite delay and non instantaneous impulses when the linear part is a fractional sectorial operators on separable Hilbert spaces.
Meryem, Chaouche, Guendouzi, Toufik
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A central limit theorem associated with sub-fractional Brownian motion and an application [PDF]
SCIENTIA SINICA Mathematica, 2017 In this paper, we consider the asymptotic normality associated with the integral functionals $$\frac1{\eta(\varepsilon)} \int_0^T ( (S^H_{s+\varepsilon}-S^H_s )^2-\varepsilon^{2H} )ds, \varepsilon>0 $$ with $T>0$, where $\eta(\varepsilon)$ is an infinitesimal as $\varepsilon$ tends to zero.
YAN LiTan, SUN XiChao
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Stochastic delay evolution equations driven by sub-fractional Brownian motion [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhi, Zhou, Guoli, Luo, Jiaowan
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A law of iterated logarithm for the subfractional Brownian motion and an application
Journal of Inequalities and Applications, 2018 Let SH={StH,t≥0} $S^{H}=\{S^{H}_{t},t\geq0\}$ be a sub-fractional Brownian motion with Hurst index 00) $(x>0)$ with ΦH(0)=0 $\Phi_{H}(0)=0$.
Hongsheng Qi, Litan Yan
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