A Poisson or a binomial process on an abstract state space and a symmetric function f acting on k-tuples of its points are considered. They induce a point process on the target space of f. The main ...

The Mathematical Physics group at CU Boulder has expertise in Hilbert space theory, quantization theory, random matrices, Poisson geometry, the mathematics of classical and quantum fields, and PDE's ...

Boundary value problems of a one-dimensional steady-state Poisson-Nernst-Planck (PNP) system for ion flow through a narrow membrane channel are studied. By assuming the ratio of the Debye length to a ...

Recent advancements in thermodynamics have increasingly drawn on the language of differential geometry and systems control to reformulate classical principles. Geometric structures offer a rigorous ...