6 citations · 9 across the 5 of their papers we have counts for
6 papers
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…
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…
Why strengthening gap junctions may hinder action potential propagation
Erin Munro Krull, Christoph Börgers
Gap junctions are channels in cell membranes allowing ions to pass directly between cells. They connect cells throughout the body, including heart myocytes, neurons, and astrocytes…
Covid-19 vaccine hesitancy and mega-influencers
Anna Haensch, Natasa Dragovic, Christoph Börgers +1
Covid-19 vaccines are widely available in the United States, yet our Covid-19 vaccination rates have remained far below 100%. Not only that, but CDC data shows that even in places…
On the mean square displacement in Levy walks
Christoph Borgers, Claude Greengard
Many physical and biological processes are modeled by "particles" undergoing Lévy random walks. A feature of significant interest in these systems is the mean square displacement (…
Slow Convergence in Generalized Central Limit Theorems
Christoph Börgers, Claude Greengard
We study the central limit theorem in the non-normal domain of attraction to symmetric -stable laws for . We show that for i.i.d. random variables , the convergen…