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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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4 results for “Vieta root-flipping”

Ortho-integral surfacesmath.GT

The paper explores orthogeodesics on hyperbolic surfaces and their integer traces.

problem Computing and understanding orthogeodesics on hyperbolic surfaces.

method Recursive method for computing orthogeodesic traces and combinatorial proof of Basmajian's identity.

result Existence of surfaces where orthogeodesic traces are integers.

hyperbolic surfaces orthogeodesics integer traces Vieta root-flipping Basmajian's identity

2021-12-20abs ↗pdf ↗

Tropical Dynamics of Markov Surfacesmath.DS

Study of algebraic dynamics on Markov cubics in tropical geometry.

problem Understanding the dynamics of Markov cubics over non-archimedean fields.

method Tropicalization and

(\infty,\infty,\infty)

-triangle reflection group on hyperbolic plane.

result Existence of Fatou domain and finitude of orbits with rational points over prime power denominators.

Markov cubics tropical dynamics Vieta involutions hyperbolic plane non-archimedean fields

2023-06-20abs ↗pdf ↗

Notes on the SWIFT method based on Shannon Wavelets for Option Pricingq-fin.CP

The note evaluates different methods for option pricing using Shannon Wavelets.

problem Efficient computation of Shannon Wavelet coefficients for option pricing.

method Evaluation of cosine expansion, direct algorithms, and Filon quadrature.

result Filon quadrature is more efficient for computing Shannon Wavelet coefficients.

Shannon Wavelets Option Pricing Filon Quadrature Cosine Expansion

2020-05-27abs ↗pdf ↗

Deep Reinforcement Learning Designed Shinnar-Le Roux RF Pulse using Root-Flipping: DeepRF_SLRcs.LG

A novel approach of applying deep reinforcement learning to an RF pulse design is introduced. This method, which is referred to as DeepRF_SLR, is designed to minimize the peak amplitude or, equivalently, minimize the pulse duration of a multiband refocusing pulse generated by the Shinar Le-Roux (SLR) algorithm. In the …

2019-12-19abs ↗pdf ↗