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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.

169,236 papers · 148 categories

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0111 · Sep 200219922001200920182026
7 results for high-multiplicity

We investigate the spectra of a family of pairs (M_i,A_i) consisting of a complete Riemannian manifold M_i and a closed subset A_i and which converge in the Lipschitz topology to a pair (M,A). This is used to construct manifolds of bounded curvature, nonempty essential spectrum, infinitely many eigenvalues below the es…

2002-09-05abs ↗pdf ↗

Efficient event generation for collider phenomenology using parallel Langevin sampling and learned Stein diagnostics.

problem Event generation for precision collider phenomenology.
method Parallel Langevin sampling with learned Stein diagnostics.
result Relaxation time is estimated using a data-driven approach.

Study on constraints for topological and smooth realizations of line arrangements and configurations.

problem Investigating constraints on topological and smooth realizations of combinatorial line arrangements and (nk)(n_k)-configurations.
method Exploring constraints via locally-flatly or smoothly embedded 2-spheres, using Furuta's 10/8-Theorem, and G-signature theorem.
result Established a new lower bound for (nk)(n_k)-configurations, showing nk25n \geq k^2-5 for topological realizations.

A Riemannian Einstein solvmanifold (possibly, any noncompact homogeneous Einstein space) is almost completely determined by the nilradical of its Lie algebra. A nilpotent Lie algebra, which can serve as the nilradical of an Einstein metric solvable Lie algebra, is called an Einstein nilradical. Despite a substantial pr…

2008-05-06abs ↗pdf ↗

This research connects quantum spectra of flag bundles to prime factorization of integers.

problem Understanding the quantum spectra of flag bundles and their relation to prime numbers.
method Functorial and inductive properties of vertical quantum cohomology, relating to analytic number theory.
result The degeneracy of the small vertical quantum spectrum of a Grassmann bundle is controlled by the prime factorization of ranks.