School of Mathematical Sciences
Collections in this community

Applied Mathematics [138]

Mathematics [23]

Pure Mathematics [60]

Statistics [8]
Browse by
Recent Submissions

Matrix Orbit Closures
(Springer Verlag, 2018)Let $G$ be the group $\GL_r(\CC) \times (\CC^\times)^n$. We conjecture that the finelygraded Hilbert series of a $G$ orbit closure in the space of $r$by$n$ matrices is wholly determined by the associated matroid. In ... 
Hypergraph saturation irregularities
(Electronic Journal of Combinatorics, 2018)Let F be a family of rgraphs. An rgraph G is called Fsaturated if it does not contain any members of F but adding any edge creates a copy of some rgraph in F. The saturation number sat(F, n) is the minimum number of ... 
Distributed Control of Synchronization of a Group of Network Nodes
(IEEE Explore, 20180419)IEEE Synchronization in networked systems of diffusively coupled oscillators is a ubiquitous, well studied phenomenon, and many techniques have been proposed to control all the network nodes towards a common reference ... 
Stochastic differential equations driven by deterministic chaotic maps: analytic solutions of the PerronFrobenius equation
(IOP Publishing, 2018)We consider discretetime dynamical systems with a linear relaxation dynamics that are driven by deterministic chaotic forces. By perturbative expansion in a small time scale parameter, we derive from the PerronFrobenius ... 
Schubert polynomials as integer point transforms of generalized permutahedra
(Elsevier, 2018)We show that the dual character of the flagged Weyl module of any diagram is a positively weighted integer point transform of a generalized permutahedron. In particular, Schubert and key polynomials are positively weighted ...