From the 1 of 4 linked papers with an AI index.
4 papers
Standard morphisms and Pythagorean triples
João Araújo, André Carvalho
Let , let be a standard morphism and let be the least integer such that every such admits a primitive monochromatic Pyt…
Analysis of a multispecies cross-diffusion Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
The paper analyzes a chemotaxis-driven multispecies cross‑diffusion Keller‑Segel system with volume‑filling constraints, establishing global weak existence, weak‑strong uniqueness,…
Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
Noah Geltner, Ansgar Jüngel, Mingyue Zhang
A class of parabolic-parabolic Keller-Segel systems with degenerate diffusion and volume filling is studied in a bounded domain subject to no-flux boundary conditions. The equation…
Chemotaxis guidance of random walkers modeling self-wiring of neural networks
Noah Geltner, Ansgar Jüngel
A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, i.e. the tips of developing neurites. The model accounts for the influence of both attra…