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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.

168,657 papers · 148 categories

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6 results for “p-densities”

Discrete p-Density and Compression Radii of Lattice Knotsmath.GT

The paper defines and studies discrete p-density and compression-radius profiles of lattice knots.

problem Understanding geometric properties of lattice knots.

method Develops a framework for discrete p-density and compression-radius profiles of lattice knots, studying them on length-filtered sets and finite move-graph exploration.

result Density and compression-radius values are not monotone, illustrating distinct optimization problems.

lattice knots discrete p-density compression-radius finite move-graph exploration geometric invariants

2026-05-27abs ↗pdf ↗

Unconstrained and Ropelength-Windowed

p

-densities of Knot Typesmath.GT

The paper studies knot densities under various constraints and degenerations.

problem Understanding knot densities under different constraints and their degenerations.

method Introduces and analyzes unconstrained and ropelength-windowed

p

-densities of knot types.

result The degenerations in the unconstrained theory and the introduction of ropelength-windowed densities.

knot theory density constrained optimization degenerations p-densities

2026-04-26abs ↗pdf ↗

The conical Kähler-Ricci flow with weak initial data on Fano manifoldmath.DG

In this paper, we prove the long-time existence and uniqueness of the conical Kähler-Ricci flow with weak initial data which admits $L^{p}$ density for some $p>1$ on Fano manifold. Furthermore, we study the convergence behavior of this kind of flow.

2016-01-01abs ↗pdf ↗

Modulus of Continuity of Solutions to Complex Monge-Ampère Equations on Stein Spacesmath.CV

Study on Hölder continuity of complex Monge-Ampère solutions on Stein spaces.

problem Understanding continuity of solutions to complex Monge-Ampère equations on Stein spaces.

method Analyzing solutions with

L^p

densities and Hölder boundary data on Stein spaces with isolated singularities.

result Solutions are Hölder continuous outside singular points if boundary data is Hölder continuous.

complex Monge-Ampère equations Stein spaces Hölder continuity Dirichlet problems singularities

2024-05-27abs ↗pdf ↗

Hölder continuous solutions to Monge-Ampère equationsmath.CV

Let $(X,ω)$ be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on $X$ with $L^p$ right hand side, $p>1$ . The same regularity is furthermore proved on the ample locus in any big cohomology class. We also study the range $\MAH(X,ω)$ of the complex Monge-Am…

2011-12-06abs ↗pdf ↗

Do PAC-Learners Learn the Marginal Distribution?cs.LG

New findings on PAC learning and marginal distribution estimation.

problem Understanding how PAC learning relates to marginal distribution estimation under distributional constraints.

method Revisited the connection between PAC learning, uniform convergence, and density estimation, considering a known family of marginal distributions.

result PAC learning is sandwiched between two refined models of density estimation, differing only in whether the learner knows the set of well-estimated events in H.

PAC learning uniform convergence density estimation marginal distribution distributional constraints

2023-02-13abs ↗pdf ↗