3 citations · 8 across the 4 of their papers we have counts for
4 papers
Elmendorf constructions for -categories and -posets
Jonathan Rubin
We introduce new Elmendorf constructions for equivariant categories and posets, and we prove that they are compatible with the classical topological one. Our constructions are more…
Categorifying the algebra of indexing systems
Jonathan Rubin
The homotopy category of operads is equivalent to a finite lattice, and as the ambient group varies, there are various image constructions between these lattices. In thi…
Characterizations of equivariant Steiner and linear isometries operads
Jonathan Rubin
We study the indexing systems that correspond to equivariant Steiner and linear isometries operads. When is a finite abelian group, we prove that a -indexing system is reali…
Wild oscillations in a nonlinear neuron model with resets: (I) Bursting, spike adding and chaos
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan D. Touboul +1
In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and…