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  • Matrix Orbit Closures 

    FINK, A; Berget, A (Springer Verlag, 2018)
    Let $G$ be the group $\GL_r(\CC) \times (\CC^\times)^n$. We conjecture that the finely-graded 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 

    Behague, NC (Electronic Journal of Combinatorics, 2018)
    Let F be a family of r-graphs. An r-graph G is called F-saturated if it does not contain any members of F but adding any edge creates a copy of some r-graph in F. The saturation number sat(F, n) is the minimum number of ...
  • Distributed Control of Synchronization of a Group of Network Nodes 

    Gambuzza, LV; Frasca, M; Latora, V (IEEE Explore, 2018-04-19)
    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 Perron-Frobenius equation 

    BECK, C; WILLIAMS, G (IOP Publishing, 2018)
    We consider discrete-time 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 Perron-Frobenius ...
  • Schubert polynomials as integer point transforms of generalized permutahedra 

    FINK, A; Mészáros, K; St Dizier, A (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 ...
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