Results 151 to 160 of about 6,786 (289)

Exponential asymptotics for time-space Hamiltonians

open access: yes, 2013
We investigate the long time asymptotics of the exponential moment for the following time-space Hamiltonian ∫t0∫t01|r−s|α0γ(Br−Bs)dsdr,t≥0, where (Bs , s ≥ 0) is a d-dimensional Brownian motion and the kernel γ(x): Rd → [0, ∞) is a homogeneous function ...
Song, J
core  

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati   +2 more
wiley   +1 more source

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous   +2 more
wiley   +1 more source

Separation of Time Scales in Weakly Interacting Diffusions. [PDF]

open access: yesArch Ration Mech Anal
Adams ZP, Engel M, Gvalani RS.
europepmc   +1 more source

Linear and Two‐Dimensional Infrared Spectroscopy of the Multifunctional Vibrational Probe, 3‐(4‐Azidophenyl) Propiolonitrile. Deperturbing a Fermi Triad by Isotopic Substitution

open access: yesChemPhysChem, Volume 26, Issue 6, March 15, 2025.
Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve   +4 more
wiley   +1 more source

Tuning the Growth Pattern of Triangular Silver Nanoplates from Lateral to Vertical by Secondary Metal Addition

open access: yesChemPhysChem, Volume 26, Issue 6, March 15, 2025.
What happens, if in the synthesis of flat silver platelets, the slow deposition of silver along twinning faults is disturbed by the addition of a nobler metal? We have looked into it and found a way to fine‐tune the metal deposition in lateral and vertical direction.
Jonas Kluitmann   +3 more
wiley   +1 more source

Invariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on R²

open access: yes, 2001
We construct finite-dimensional invariant manifolds in the phase space of the Navier-Stokes equation on R² and show that these manifolds control the long-time behavior of the solutions.
Thierry Gallay, C. Eugene Wayne
core  

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