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13 papers · 1 filter
Quantification of the Heterogeneity of Particle Packings
Iwan Schenker, Frank T. Filser, Tomaso Aste +2
The microstructure of coagulated colloidal particles, for which the inter-particle potential is described by the DLVO theory, is strongly influenced by the particles' surface poten…
A Hybrid Agent Based and Differential Equation Model of Body Size Effects on Pathogen Replication and Immune System Response
Soumya Banerjee, Melanie Moses
Many emerging pathogens infect multiple host species, and multi-host pathogens may have very different dynamics in different host species. This research addresses how pathogen repl…
Twisting the quantum grassmannian
S Launois, T H Lenagan
In contrast to the classical and semiclassical settings, the Coxeter element (12...n) which cycles the columns of an mxn matrix does not determine an automorphism of the quantum gr…
Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves
K. R. Goodearl, S. Launois, T. H. Lenagan
The algebra of quantum matrices of a given size supports a rational torus action by automorphisms. It follows from work of Letzter and the first named author that to understand the…
PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials
Patrick Dorey, Clare Dunning, Anna Lishman +1
We study a three-parameter family of PT-symmetric Hamiltonians, related via the ODE/IM correspondence to the Perk-Schultz models. We show that real eigenvalues merge and become com…
Totally nonnegative cells and matrix Poisson varieties
K. R. Goodearl, S. Launois, T. H. Lenagan
We describe explicitly the admissible families of minors for the totally nonnegative cells of real matrices, that is, the families of minors that produce nonempty cells in the cell…