276 citations · 1.2k across the 79 of their papers we have counts for
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Application of semifinite index theory to weak topological phases
Chris Bourne, Hermann Schulz-Baldes
Recent work by Prodan and the second author showed that weak invariants of topological insulators can be described using Kasparov's -theory. In this note, a complementary descr…
Statistical Mechanics of MAP Estimation: General Replica Ansatz
Ali Bereyhi, Ralf R. Müller, Hermann Schulz-Baldes
The large-system performance of MAP estimation is studied considering a general distortion function when the observation vector is received through a linear system with additive wh…
RSB Decoupling Property of MAP Estimators
Ali Bereyhi, Ralf R. Müller, Hermann Schulz-Baldes
The large-system decoupling property of a MAP estimator is studied when it estimates the i.i.d. vector from the observation $\boldsymbol{y}=\mathbf{A}\boldsymbol{x…
Topological insulators from the perspective of non-commutative geometry and index theory
Hermann Schulz-Baldes
Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non…
Generalized Connes-Chern characters in KK-theory with an application to weak invariants of topological insulators
Emil Prodan, Hermann Schulz-Baldes
We use constructive bounded Kasparov K-theory to investigate the numerical invariants stemming from the internal Kasparov products $K_i(\mathcal A) \times KK^i(\mathcal A, \mathcal…
Spectral flow for real skew-adjoint Fredholm operators
Alan L. Carey, John Phillips, Hermann Schulz-Baldes
An analytic definition of a -valued spectral flow for paths of real skew-adjoint Fredholm operators is given. It counts the parity of the number of changes in the ori…