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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 · Jan 201119922001200920172026
2 results for “brachistochrone”
Brachistochrone-ruled timelike surfaces in Newtonian and relativistic spacetimesgr-qc

Study of timelike surfaces with time-minimizing rulings in Newtonian and relativistic spacetimes.

problem Understanding time-minimizing paths in spacetime geometries.
method Constructing timelike surfaces ruled by geodesics of Finsler or Jacobi metrics.
result Explicit examples of brachistochrone-ruled timelike surfaces in Minkowski and Schwarzschild spacetimes.
brachistochronetimelike surfacesFinsler geometryJacobi metricspacetime
2025-12-09abs ↗pdf ↗
Brachistochrone Pursuit - Evasion Games and Riemann-Finsler Geometrymath.OC

A geometric approach to differential game theory is illustrated. The parallel pursuit is considered as a two-player zero-sum differential game. The optimal strategies of each player is designed based on Riemann-Finsler geometry. Our approach incorporates a closed loop optimal control and the presentation is familiar wi…

2011-01-10abs ↗pdf ↗