4 papers
Analysis of inverse stochastic resonance: Effects of neural excitability and timescale separation
Marius E. Yamakou, Torben Krüger, Torben Krüger +1
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…
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…
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…