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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 “periscope”

Two variations on the periscope theoremmath.DG

Two spherical and flat periscopes are analyzed in multi-dimensional space.

problem Understanding the wave fronts of periscopes in various dimensions.

method Local diffeomorphisms of wave fronts induced by 2-mirror systems are described.

result Local diffeomorphisms of wave fronts are characterized for spherical and flat periscopes.

periscope wave fronts multi-dimensional space local diffeomorphisms

2019-08-22abs ↗pdf ↗

Billiard transformations of parallel flows: a periscope theoremmath.DS

We consider the following problem: given two parallel and identically oriented bundles of light rays in n-dimensional Euclidean space and given a diffeomorphism between the rays of the former bundle and the rays of the latter one, is it possible to realize this diffeomorphism by means of several mirror reflections? We …

2016-02-25abs ↗pdf ↗