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- Centre National de la Recherche ScientifiqueFR17 papers
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6 papers · 1 filter
Weak Separation and Plabic Graphs
Suho Oh, Alex Postnikov, David E Speyer
Leclerc and Zelevinsky described quasicommuting families of quantum minors in terms of a certain combinatorial condition, called weak separation. They conjectured that all maximal…
Three layer -free families in the Boolean lattice
Jacob Manske, Jian Shen
We prove that the largest -free family of subsets of which contains sets of at most three different sizes has at most …
Quantum Hall Superfluids in Topological Insulator Thin Films
Dagim Tilahun, Byounghak Lee, E. M. Hankiewicz +1
Three-dimensional topological insulators have protected Dirac-cone surface states. In this paper we propose magnetic field induced topological insulator thin film ordered states in…
Boij-Söderberg theory: Introduction and survey
Gunnar Floystad
Boij-Söderberg theory describes the Betti diagrams of graded modules over the polynomial ring up to multiplication by a rational number. Analog Eisenbud-Schreyer theory also descri…
A Quantum Theory of Cold Bosonic Atoms in Optical Lattices
Dagim Tilahun, R. A. Duine, A. H. MacDonald
Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate…
Iteration Index of a Zero Forcing Set in a Graph
Kiran B. Chilakamarri, Nathaniel Dean, Cong X. Kang +1
Let each vertex of a graph G = (V(G), E(G)) be given one of two colors, say, "black" and "white". Let Z denote the (initial) set of black vertices of G. The color-change rule conve…