Results 61 to 70 of about 17,220,730 (291)
Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of L\'evy processes [PDF]
, 2009 We provide the increasing eigenfunctions associated to spectrally negative self-similar Feller semigroups, which have been introduced by Lamperti. These eigenfunctions are expressed in terms of a new family of power series which includes, for instance ...
Patie, Pierre
core +2 more sources
Advanced Functional Materials, EarlyView.Wrinkling of soft materials, such as polydimethylsiloxane (PDMS), underpins a myriad of technologies. Plasma‐oxidation of PDMS induces spontaneous wrinkling, which is canonically attributed to thermal expansion‐contraction of bilayers. Employing experiments and modelling, it is demonstrated that sorption of water vapor is instead responsible for ...
Zain Ahmad +8 more
wiley +1 more source
Space and time inversions of stochastic processes and Kelvin transform
, 2018 Let $X$ be a standard Markov process. We prove that a space inversion property of $X$ implies the existence of a Kelvin transform of $X$-harmonic, excessive and operator-harmonic functions and that the inversion property is inherited by Doob $h ...
Brown, André EX (5398142) +11 more
core +2 more sources
Advanced Materials, EarlyView.Convergence drawing is used to create flexible, microscale, multifunctional fiber‐based neural probes. Optimized materials selection enables individual devices to perform neural recording, electrical stimulation, optogenetics, fiber photometry, fluid delivery, and voltammetric neurotransmitter detection in rodents.
Nicolette Driscoll +16 more
wiley +1 more source
Random Aharonov-Bohm vortices and some exact families of integrals: Part III
, 2013 As a sequel to [1] and [2], I present some recent progress on Bessel integrals $\int_0^{\infty}{\rmd u}\; uK_0(u)^{n}$, $\int_0^{\infty}{\rmd u}\; u^{3}K_0(u)^{n}$, ...
Ouvry, Stephane
core +2 more sources
Differential Equations for Dyson Processes [PDF]
, 2003 We call "Dyson process" any process on ensembles of matrices in which the entries undergo diffusion. We are interested in the distribution of the eigenvalues (or singular values) of such matrices. In the original Dyson process it was the ensemble of n by
Adler +15 more
core +2 more sources
Manipulating Ferroelectric Topological Polar Structures with Twisted Light
Advanced Materials, EarlyView.We demonstrate dynamic control of ferroelectric order in quasi‐2D CsBiNb2O7 using twisted ultraviolet light carrying orbital angular momentum. Our approach harnesses non‐resonant multiphoton absorption and induced strain to modulate topological of ferroelectric polarization textures.
Nimish P. Nazirkar +10 more
wiley +1 more source
Nonintersecting Brownian excursions
, 2006 We consider the process of $n$ Brownian excursions conditioned to be nonintersecting. We show the distribution functions for the top curve and the bottom curve are equal to Fredholm determinants whose kernel we give explicitly.
Tracy, Craig A., Widom, Harold
core +5 more sources
The Distribution of the Area under a Bessel Excursion and its Moments [PDF]
, 2014 A Bessel excursion is a Bessel process that begins at the origin and first returns there at some given time $T$. We study the distribution of the area under such an excursion, which recently found application in the context of laser cooling. The area $A$
Barkai, Eli +2 more
core +1 more source
Advanced Materials Interfaces, EarlyView.Supported lipid bilayers coupled with multielectrode array devices offer significant promise for pathogen–host cell membrane interaction studies. This work demonstrates, for the first time, the compatibility of this platform with biological fluids, in this case whole human blood, essential for any future point‐of‐care applications; as well as its ...
Alexandra Wheeler +4 more
wiley +1 more source