On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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8 results for “self-repulsion”

Nonlinear elasticity with vanishing nonlocal self-repulsionmath.AP

Study shows global invertibility in nonlinear elasticity with vanishing self-repulsion term.

problem Global invertibility in nonlinear elasticity with a vanishing nonlocal self-repulsion term.

method Proves global invertibility in the

Γ

-limit of elastic energy with a vanishing nonlocal self-repulsion term.

result Global invertibility can be obtained in the

Γ

-limit of the elastic energy with a vanishing nonlocal self-repulsion term.

nonlinear elasticity global invertibility self-repulsion vanishing coefficient Sobolev-Slobodeckiĭ seminorm

2022-06-20abs ↗pdf ↗

Knot Dynamicsmath.GT

Computer experiments reveal complex knots that don't simplify.

problem Understanding the dynamics of complex knots under self-repulsion.

method Computer simulations of knot theory, focusing on rational knots and tangles.

result Discovered hard unknots and complexified knots that do not reduce to simpler forms under self-repulsion.

knot dynamics computer experiments self-repulsion rational knots unknots

2021-09-26abs ↗pdf ↗

Stein Self-Repulsive Dynamics: Benefits From Past Samplescs.LG

New method improves sample diversity and efficiency from complex distributions.

problem Sampling from intractable un-normalized distributions with high auto-correlation.

method Stein self-repulsive dynamics using a repulsive force to push samples away from past trajectories.

result Significantly decreases auto-correlation and increases effective sample size.

Stein variational gradient Langevin dynamics sample efficiency uncertainty estimation diversified samples

2020-02-21abs ↗pdf ↗

Self-repulsiveness of energies for closed submanifoldsmath.GT

New insights into surface energy reduction.

problem Energy behavior of degenerating submanifolds.

method Analyzing regularized Riesz energy for closed submanifolds.

result Energy blows up as submanifolds degenerate.

energy submanifolds degeneration numerical experiments

2020-04-05abs ↗pdf ↗

Stationary curves under the Möbius-Plateau energymath.DG

New energy model avoids self-intersections in curve optimization.

problem Avoiding self-intersections in curve optimization under elastic boundary energies.

method Introduced Möbius-Plateau energy to minimize curve variations.

result Screw-like solutions are plentiful, ribbon-like solutions have constraints.

Plateau problems Möbius energy curve optimization self-intersections Euler-Lagrange equations

2022-08-26abs ↗pdf ↗

Banach gradient flows for various families of knot energiesmath.CA

Gradient flows for knot energies ensure long-term existence of knotted loops.

problem Ensuring long-term existence of knotted loops under various energies.

method Banach gradient flows, curves of maximal slope, logarithmic strain control.

result Established long-time existence of gradient flows for knot energies.

Banach gradient flows knot energies curves of maximal slope logarithmic strain long-time existence

2022-04-28abs ↗pdf ↗

Complex asymptotics of the Möbius energy gradient of symmetric helix pairsmath.DG

The paper studies Möbius energy gradient of helix pairs and finds limiting behavior as coiling ratio increases.

problem Characterizing the limiting behavior of Möbius energy gradient for symmetric helix pairs.

method Complex asymptotics

result The gradient diverges in opposing directions based on radius, approaching 1/2 as coiling ratio increases.

Möbius energy symmetric helix complex asymptotics gradient behavior coiling ratio

2022-09-20abs ↗pdf ↗

On the Palais-Smale condition in geometric knot theorymath.CA

The Palais-Smale condition is proven for various knot energies.

problem Existence and smoothness of minimizing knots in geometric knot theory.

method Proof of the Palais-Smale condition for specific knot energies.

result Existence of minimizing knots and long-time existence of their flows.

Palais-Smale condition geometric knot theory knot energies minimizing knots Hilbert-gradient flows

2025-05-05abs ↗pdf ↗