Results 51 to 60 of about 63,354 (312)

Stationary distributions for diffusions with inert drift [PDF]

open access: yes, 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
core   +1 more source

Ballistic Brownian motion of nanoconfined DNA

open access: yes, 2023
Theoretical treatments of polymer dynamics in liquid generally start with the basic assumption that motion at the smallest scale is heavily overdamped; therefore, inertia can be neglected.
Zhiyong, Zheng   +10 more
core   +1 more source

Near‐Infrared Light‐Driven Zn/Au Janus Micromotors for Multiplex SERS Detection of Anticancer Drugs

open access: yesAdvanced Functional Materials, EarlyView.
Zn/Au Janus micromotors, propelled by thermophoretic effects under NIR light, function as active SERS platforms for single and multiplex detection of anticancer drugs. Their dynamic motion enhances analyte exchange at the Au interface, reducing saturation and competitive adsorption, thereby improving sensitivity and extending the linear detection range.
Tijana Maric   +8 more
wiley   +1 more source

The Influence of Multiplicative Noise and Fractional Derivative on the Solutions of the Stochastic Fractional Hirota–Maccari System

open access: yesAxioms, 2022
We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar   +3 more
doaj   +1 more source

Functions of Brownian Motion [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
The class of continuous functions h h for which
openaire   +1 more source

Ergodicity of hypoeliptic SDEs driven by fractional Brownian motion [PDF]

open access: yes, 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  

Canonical decompositions of certain generalized Brownian bridges [PDF]

open access: yes, 2002
We define a generalized Brownian bridge and we provide some information about its filtration. Two decompositions of this process as a semi-martingale are given.
Alili, Larbi
core   +1 more source

3D Printing Innovations in Polymeric Porous and Patterned Architecture

open access: yesAdvanced Functional Materials, EarlyView.
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil   +13 more
wiley   +1 more source

Modular Control of PEG‐Poly(2‐Oxazoline) Co‐Assembly Enables Tunable Aggregate Properties for Intraocular Pressure Management

open access: yesAdvanced 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
wiley   +1 more source

On Skew Brownian Motion

open access: yesThe Annals of Probability, 1981
We consider the stochastic equation $X(t) = W(t) + \beta l^X_0(t)$, where $W$ is a standard Wiener process and $l^X_0(\cdot)$ is the local time at zero of the unknown process $X$. There is a unique solution $X$ (and it is adapted to the fields of $W$) if $|\beta| \leq 1$, but no solutions exist if $|\beta| > 1$.
Harrison, J. M, Shepp, Larry A
openaire   +3 more sources

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