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math.HO2023
Hanging cables and spider threads
Christoph Börgers
It has been known for more than 300 years that the shape of an inelastic hanging cable, chain, or rope of uniform linear mass density is the graph of the hyperbolic cosine, up to s…
math.DS2023
Infinitesimal phase response functions can be misleading
Christoph Börgers
Phase response functions are the central tool in the mathematical analysis of pulse-coupled oscillators. When an oscillator receives a brief input pulse, the phase response functio…