Results 1 to 10 of about 3,954,843 (144)
Weak bisimulation for coalgebras over order enriched monads [PDF]
The paper introduces the notion of a weak bisimulation for coalgebras whose type is a monad satisfying some extra properties. In the first part of the paper we argue that systems with silent moves should be modelled coalgebraically as coalgebras whose ...
Tomasz Brengos
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Walking, weak first-order transitions, and complex CFTs
We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the Potts model, deconfined criticality) these two phenomena both ...
Victor Gorbenko +2 more
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Extending the weak order on Coxeter groups [PDF]
We introduce a new family of complete lattices, arising from a digraph together with a valuation on its vertices and generalizing a previous construction of the author.
Francois Viard
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The facial weak order in finite Coxeter groups [PDF]
We investigate a poset structure that extends the weak order on a finite Coxeter group W to the set of all faces of the permutahedron of W. We call this order the facial weak order.
Aram Dermenjian +2 more
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Arc Permutations (extended abstract) [PDF]
Arc permutations and unimodal permutations were introduced in the study of triangulations and characters. In this paper we describe combinatorial properties of these permutations, including characterizations in terms of pattern avoidance, connections to ...
Sergi Elizalde, Yuval Roichman
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A lattice on decreasing trees : the metasylvester lattice [PDF]
We introduce a new combinatorial structure: the metasylvester lattice on decreasing trees. It appears in the context of the $m$-Tamari lattices and other related $m$-generalizations.
Viviane Pons
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Noncrossing partitions and the shard intersection order [PDF]
We define a new lattice structure (W,\preceq ) on the elements of a finite Coxeter group W. This lattice, called the \emphshard intersection order, is weaker than the weak order and has the noncrossing partition lattice \NC (W) as a sublattice.
Nathan Reading
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Generalized Dyck tilings (Extended Abstract) [PDF]
Recently, Kenyon and Wilson introduced Dyck tilings, which are certain tilings of the region between two Dyck paths. The enumeration of Dyck tilings is related with hook formulas for forests and the combinatorics of Hermite polynomials. The first goal of
Matthieu Josuat-Vergès, Jang Soo Kim
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How to get the weak order out of a digraph ? [PDF]
We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$$n-1$, $B$$n$, $Ã$$n$, and the flag weak order on the wreath ...
Francois Viard
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On the Topology of the Cambrian Semilattices [PDF]
For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
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