Results 71 to 80 of about 88,425 (316)
Isomorphisms of β-Dyson’s Brownian motion with Brownian local time [PDF]
Electronic Journal of Probability, 2021 We show that the Brydges-Fröhlich-Spencer-Dynkin and the Le Jan's isomorphisms between the Gaussian free fields and the occupation times of symmetric Markov processes generalize to the $β$-Dyson's Brownian motion. For $β\in\{1,2,4\}$ this is a consequence of the Gaussian case, however the relation holds for general $β$.
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Advanced Photonics Research, Volume 6, Issue 5, May 2025.Microfabrication using nano‐ to micron‐sized blocks has transformative potential for next‐gen electronics, optoelectronics, and materials. Traditional methods are limited by scalability and precision. STIC, a single‐laser system for precise colloid manipulation and immobilization using femtosecond lasers, is introduced that enables efficient 3D ...
Krishangi Krishna +4 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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Confined Brownian ratchets [PDF]
The Journal of Chemical Physics, 2013 We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases of a flashing ratchet, a two-state model, and a ratchet under the influence of a temperature gradient are analyzed ...
Malgaretti, Paolo +2 more
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Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]
, 2009 We demonstrate that stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H > 1/2 have similar ergodic properties as SDEs driven by standard Brownian motion.
Hairer, Martin, Pillai, Natesh S.
core
Boundary-crossing identities for diffusions having the time-inversion property [PDF]
, 2010 We review and study a one-parameter family of functional transformations, denoted by (S (β)) β∈ℝ, which, in the case ...
Alili, L. +3 more
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Information Transmission Strategies for Self‐Organized Robotic Aggregation
Advanced Robotics Research, EarlyView.In this review, we discuss how information transmission influences the neighbor‐based self‐organized aggregation of swarm robots. We focus specifically on local interactions regarding information transfer and categorize previous studies based on the functions of the information exchanged.
Shu Leng +5 more
wiley +1 more source
Journal of Mathematics, 2022 In this paper, we consider the fractional-stochastic Boussinesq-Burger system (FSBBS) generated by the multiplicative Brownian motion. The Jacobi elliptic function techniques are used to create creative elliptic, hyperbolic, and rational fractional ...
Wael W. Mohammed +2 more
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Limiting Behaviors for Brownian Motion Reflected on Brownian Motion [PDF]
Methods and Applications of Analysis, 2002 The authors study a law of iterated logarithm associated to a Brownian motion reflected to another independent Brownian motion.
Chen, X., Li, Wenbo
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Stationary distributions for diffusions with inert drift [PDF]
, 2010 Consider reflecting Brownian motion in a bounded domain in $${\mathbb R^d}$$ that acquires drift in proportion to the amount of local time spent on the boundary of the domain.
Hairer, Martin +3 more
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