Research
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

Trend · papers per month

count% of corpus
0111 · Dec 200719922001200920172026
2 results for “supercontractivity”
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flowsmath.PR

The paper derives Harnack inequalities for evolving Riemannian manifolds without dimensionality restrictions.

problem Deriving Harnack inequalities for geometric flows with evolving metrics.
method Probabilistic representation of conjugate semigroups and supercontractivity.
result Established dimension-free Harnack inequalities for geometric flows.
Harnack inequalitiesevolving Riemannian manifoldsgeometric flowssupercontractivitylog-Sobolev inequalities
2020-10-10abs ↗pdf ↗
Log-Sobolev inequalities: Different roles of Ric and Hessmath.PR

Let PtP_t be the diffusion semigroup generated by L:=Δ+∇VL:=Δ+\nabla V on a complete connected Riemannian manifold with Ric⁡≥−(σ2ρo2+c)\operatorname {Ric}\ge-(σ^2ρ_o^2+c) for some constants σ,c>0σ, c>0 and ρoρ_o the Riemannian distance to a fixed point. It is shown that PtP_t is hypercontractive, or the log-Sobolev inequality holds for the…

2007-12-19abs ↗pdf ↗