276 citations · 1.2k across the 79 of their papers we have counts for
88 papers
Analysis of inverse stochastic resonance: Effects of neural excitability and timescale separation
Marius E. Yamakou, Torben Krüger, Hermann Schulz-Baldes
We analyze inverse stochastic resonance (ISR) in a bistable FitzHugh--Nagumo neuron driven by additive noise in the voltage variable, focusing on how neural excitability and timesc…
Scaling of the Lyapunov exponent at a balanced hyperbolic critical point
Joris De Moor, Christian Sadel, Hermann Schulz-Baldes
In both the random hopping model and at topological phase transitions in one-dimensional chiral systems, the Lyapunov exponent vanishes at zero energy, but is here shown to have an…
Topological indices in condensed matter
Hermann Schulz-Baldes
This contribution describes the mathematical theory of topological indices in solid state systems composed of non-interacting Fermions. In particular, this covers the spectral loca…
The generators of the K-groups of the sphere
Hermann Schulz-Baldes, Tom Stoiber
This note presents an elementary iterative construction of the generators for the complex -groups $K_i(C(\SM^d))$ of the -dimensional spheres. These generators are explicitly…
Transfer matrix analysis of non-hermitian Hamiltonians: asymptotic spectra and topological eigenvalues
Lars Koekenbier, Hermann Schulz-Baldes
Transfer matrix techniques are used to provide a new proof of Widom's results on the asymptotic spectral theory of finite block Toeplitz matrices. Furthermore, a rigorous treatment…
Local topology for periodic Hamiltonians and fuzzy tori
Nora Doll, Terry Loring, Hermann Schulz-Baldes
A variety of local index formulas is constructed for quantum Hamiltonians with periodic boundary conditions. All dimensions of physical space as well as many symmetry constraints a…