43 citations · 66 across the 6 of their papers we have counts for
6 papers
Firing statistics in the bistable regime of neurons with homoclinic spike generation
Jan-Hendrik Schleimer, Janina Hesse, Susana Andrea Contreras +1
Neuronal voltage dynamics of regularly firing neurons typically has one stable attractor: either a fixed point (like in the subthreshold regime) or a limit cycle that defines the t…
How to correctly quantify neuronal phase-response curves from noisy recordings
Janina Hesse, Susanne Schreiber
At the level of individual neurons, various coding properties can be inferred from the input-output relationship of a cell. For small inputs, this relation is captured by the phase…
The Serre automorphism via homotopy actions and the Cobordism Hypothesis for oriented manifolds
Jan Hesse, Alessandro Valentino
We explicitly construct an SO(2)-action on a skeletal version of the 2-dimensional framed bordism bicategory. By the 2-dimensional Cobordism Hypothesis for framed manifolds, we obt…
An equivalence between Frobenius algebras and Calabi-Yau categories
Jan Hesse
We show that the bigroupoid of separable symmetric Frobenius algebras over an algebraically closed field and the bigroupoid of finitely semi-simple Calabi-Yau categories are equiva…
Frobenius algebras and homotopy fixed points of group actions on bicategories
Jan Hesse, Christoph Schweigert, Alessandro Valentino
We explicitly show that symmetric Frobenius structures on a finite-dimensional, semi-simple algebra stand in bijection to homotopy fixed points of the trivial SO(2)-action on the b…
Qualitative changes in spike-based neural coding and synchronization at the saddle-node loop bifurcation
Janina Hesse, Jan-Hendrik Schleimer, Susanne Schreiber
Information processing in the brain crucially depends on encoding properties of single neurons, with particular relevance of the spike-generation mechanism. The latter hinges upon…