68 citations · 265 across the 25 of their papers we have counts for
34 papers
Regular boundary conditions and analytic K-homology
Alexander Engel, Matti Lyko
In their seminal work, Baum-Douglas-Taylor showed that under a certain compactness assumption, local boundary conditions for first-order elliptic operators over compact manifolds w…
Correspondence between open bosonic systems and stochastic differential equations
Alexander Engel, Scott E. Parker
Bosonic mean-field theories can approximate the dynamics of systems of bosons provided that . We show that there can also be an exact correspondence at finite when…
Paschke duality and assembly maps
Ulrich Bunke, Alexander Engel, Markus Land
We construct a natural transformation between two versions of -equivariant -homology with coefficients in a --category for a countable discrete group . Its domai…
A stable -category for equivariant -theory
Ulrich Bunke, Alexander Engel, Markus Land
For a countable group we construct a small, idempotent complete, symmetric monoidal, stable -category whose homotopy category recovers…
Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms
Alexander Engel, Graeme Smith, Scott E. Parker
The simulation of large nonlinear dynamical systems, including systems generated by discretization of hyperbolic partial differential equations, can be computationally demanding. S…
Topological equivariant coarse K-homology
Ulrich Bunke, Alexander Engel
For a -category with a strict -action we construct examples of equivariant coarse homology theories. To this end we first introduce versions of Roe categories of objects…