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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.

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2 results for “ends-counting”

Curvature-free effects from volume growth and ends-counting and their applicationsmath.DG

The paper explores curvature-free effects in manifolds with volume growth and ends-counting.

problem Investigating curvature-free effects in manifolds with volume growth and ends-counting.

method Establishing two main theorems about volume growth and ends-counting.

result Proves the existence of smooth bounded mean-concave exhaustion and escaping geodesic lines.

manifolds volume growth ends-counting curvature-free smooth bounded mean-concave exhaustion

2026-05-12abs ↗pdf ↗

On the topology and index of minimal surfaces IImath.DG

For an immersed minimal surface in $\mathbb{R}^3$ , we show that there exists a lower bound on its Morse index that depends on the genus and number of ends, counting multiplicity. This improves, in several ways, an estimate we previously obtained bounding the genus and number of ends by the index. Our new estimate resol…

2018-08-20abs ↗pdf ↗