Results 51 to 60 of about 88,425 (316)
Cluster Analysis on Locally Asymptotically Self-Similar Processes with Known Number of Clusters
Fractal and Fractional, 2022 We conduct cluster analysis of a class of locally asymptotically self-similar stochastic processes with finite covariance structures, which includes Brownian motion, fractional Brownian motion, and multifractional Brownian motion as paradigmatic examples.
Nan Rao, Qidi Peng, Ran Zhao
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Journal of Theoretical Probability, 2013 We introduce and study the random non-compact metric space called the Brownian plane, which is obtained as the scaling limit of the uniform infinite planar quadrangulation. Alternatively, the Brownian plane is identified as the Gromov-Hausdorff tangent cone in distribution of the Brownian map at its root vertex, and it also arises as the scaling limit ...
Curien, Nicolas, Le Gall, Jean-François
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Advanced Functional Materials, EarlyView.A molecular shielding strategy to convert “protein‐sticky” and “non‐tumor specific” clinical ICG dye, into a “low protein binding” and “tumor‐targeting” dye with prolonged blood circulation and renal clearance is described. These shielded ICGs demonstrate strong tumor accumulation and optimal tissue clearance, resulting in high tumor‐to‐background ...
Li Xiang +9 more
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Communications on Pure and Applied Mathematics, 2014 We provide a mathematical study of the modified diffusion Monte Carlo (DMC) algorithm introduced in the companion article [3]. DMC is a simulation technique that uses branching particle systems to represent expectations associated with Feynman‐Kac formulae.
Hairer, M, Weare, J
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Brownian couplings, convexity, and shy-ness [PDF]
, 2009 Benjamini, Burdzy, and Chen (2007) introduced the notion of a shy coupling: a coupling of a Markov process such that, for suitable starting points, there is a positive chance of the two component processes of the coupling staying at least a given ...
Kendall, W. S.
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Advanced Healthcare Materials, EarlyView.A thermo‐responsive poly(2‐oxazoline)‐based injectable formulation is developed to modulate intraocular pressure (IOP) in both normal and hypotonic eyes. By adjusting the PEG content, the aggregation behavior is finely tuned, enabling IOP elevation without long‐term deposition.
Yuji Tanaka +2 more
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MathematicsA new class of Gaussian random fields is introduced in this article, described as additive Brownian sheets (ABSs), which can be regarded as a type of generalized Brownian sheet encompassing Brownian motions, Brownian sheets, and additive Brownian motions.
Mingjie Liang, Chenfang Lin
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Biosensors, 2022 Brownian motion, which is a natural phenomenon, has attracted numerous researchers and received extensive studies over the past decades. The effort contributes to the discovery of optical diffusometry, which is commonly used for micro/nano particle ...
Wei-Long Chen, Han-Sheng Chuang
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All‐Optical Reconfigurable Physical Unclonable Function for Sustainable Security
Advanced Materials, EarlyView.An all‐optical reconfigurable physical unclonable function (PUF) is demonstrated using plasmonic coupling–induced sintering of optically trapped gold nanoparticles, where Brownian motion serves as a robust entropy source. The resulting optical PUF exhibits high encoding density, strong resistance to modeling attacks, and practical authentication ...
Jang‐Kyun Kwak +4 more
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重分数布朗运动的列维连续模(Lévy's moduli of continuity of multifractional Brownian motion)
Zhejiang Daxue xuebao. Lixue ban, 2000 This paper proposed Lévy's moduli of continuity of multifractional Brownian motion,which is a generalization of the fractional Brownian motion.
LINZheng-yan(林正炎)
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