Results 191 to 200 of about 64,373 (268)

Front Propagation Through a Perforated Wall

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki   +2 more
wiley   +1 more source

Early psychosocial deprivation alters the refinement of neural dynamics across adolescence. [PDF]

open access: yesProc Natl Acad Sci U S A
Andujar M   +6 more
europepmc   +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

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

The Electronic Spin State of Diradicals Obtained from the Nuclear Perspective: The Strange Case of Chichibabin Radicals

open access: yesChemPhysChem, Volume 26, Issue 6, March 15, 2025.
The electronic spin state of two Chichibabin radicals is investigated using 2‐dimensional hyperfine correlated Electron Nuclear Double Resonance. The protons (I=1/2) act as a reference for the electronic spin quantum number (S) via their hyperfine interactions.
Gabriel Moise   +7 more
wiley   +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

Guiding waves through chaos: Universal bounds for targeted mode transport. [PDF]

open access: yesSci Adv
Wang CZ   +6 more
europepmc   +1 more source

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