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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.

168,695 papers · 148 categories

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0111 · Apr 201819922001200920172026
6 results for log-Lipschitz

Extends involutivity to non-Lipschitz subbundles and proves the Frobenius Theorem.

problem Defining involutivity for non-Lipschitz subbundles and proving the Frobenius Theorem.
method Using generalized functions, the Frobenius Theorem is extended to log-Lipschitz subbundles with sharp regularity estimates.
result For log-Lipschitz involutive subbundles, there exists a homeomorphism with specific regularity properties.

The paper extends Frobenius-type theorems to non-smooth settings with Hölder estimates.

problem Extending Frobenius-type theorems to non-Lipschitz subbundles and vector fields.
method Develops a singular version of the Frobenius theorem for log-Lipschitz vector fields and proves Hölder estimates.
result Sharp regularity results for log-Lipschitz vector fields and their parameterizations.

We study finite energy classes of quasiplurisubharmonic (qpsh) functions in the setting of toric compact K{ä}hler manifolds. We characterize toric qpsh functions and give necessary and sufficient conditions for them to have finite (weighted) energy, both in terms of the associated convex function in R n , and through t…

2018-04-10abs ↗pdf ↗

Improved KLMC for sampling under various conditions.

problem Stable simulation of kinetic Langevin dynamics under different parameters.
method Revisited synchronous Wasserstein coupling analysis with stochastic exponential Euler discretization.
result Exponential integrator can simulate kinetic Langevin dynamics in the overdamped regime with proper time acceleration.

The study constructs a Lorentzian length space and explores its properties and relationships with metric and causal geometry.

problem Understanding the relationship between metric and causal geometry in Lorentzian spaces.
method Constructing a Lorentzian length space with an orthogonal splitting on a product of an interval and a metric space, and using synthetic time-like Ricci curvature bounds.
result Established sufficient conditions for global hyperbolicity and formulated time-like Ricci curvature bounds without push-up and regularity assumptions.

We suggest a new optimization technique for minimizing the sum i=1nfi(x)\sum_{i=1}^n f_i(x) of nn non-convex real functions that satisfy a property that we call piecewise log-Lipschitz. This is by forging links between techniques in computational geometry, combinatorics and convex optimization. As an example application, we …

2018-07-23abs ↗pdf ↗