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19912026
most citedGeometric deep learning: going beyond Euclidean data

3.7k citations

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26 papers · 1 filter

physics.bio-ph2002★ 57 cited

Opening of DNA double strands by helicases. Active versus passive opening

M. D. Betterton, F. Julicher

Helicase opening of double-stranded nucleic acids may be "active" (the helicase directly destabilizes the dsNA to promote opening) or "passive" (the helicase binds ssNA available d…

nlin.CD2002★ 163 cited

Some Applications of Fractional Equations

H. Weitzner, G. M. Zaslavsky

We present two observations related to theapplication of linear (LFE) and nonlinear fractional equations (NFE). First, we give the comparison and estimates of the role of the fract…

math-ph2002★ 9 cited

Janossy Densities I. Determinantal Ensembles

Alexei Borodin, Alexander Soshnikov

We derive an elementary formula for Janossy densities for determinantal point processes with a finite rank projection-type kernel. In particular, for beta=2 polynomial ensembles of…

math.DG2002

Embedded minimal disks: Proper versus nonproper - global versus local

Tobias H. Colding, William P. Minicozzi

We construct a sequence of embedded minimal disks in a ball where the curvatures blow up only at the center. The sequence converges to a limit which is not smooth and not proper.

nlin.CD2002★ 40 cited

Chaotic Mixing in a Torus Map

Jean-Luc Thiffeault, Stephen Childress

The advection and diffusion of a passive scalar is investigated for a map of the 2-torus. The map is chaotic, and the limit of almost-uniform stretching is considered. This allows…

nlin.CD2002★ 36 cited

Chaos and flights in the atom-photon interaction in cavity QED

S. V. Prants, M. Edelman, G. M. Zaslavsky

We study dynamics of the atom-photon interaction in cavity quantum electrodynamics (QED), considering a cold two-level atom in a single-mode high-finesse standing-wave cavity as a…