Results 91 to 100 of about 3,063 (228)
Two bijections on Tamari Intervals [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We use a recently introduced combinatorial object, the $\textit{interval-poset}$, to describe two bijections on intervals of the Tamari lattice. Both bijections give a combinatorial proof of some previously known results. The first one is an inner bijection between Tamari intervals that exchanges the $\textit{initial rise}$ and $\textit{lower contacts}$
Chapoton, Frédéric +2 more
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Algebraic properties for some permutation statistics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this article, we study some quotient sets on permutations built from peaks, valleys, double rises and double descents. One part is dedicated to the enumeration of the cosets using the bijection of Francon-Viennot which is a bijection between ...
Vincent Vong
doaj +1 more source
Markov's conjecture on integral necklaces
Bulletin of the London Mathematical Society, EarlyView.Abstract We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.
David Fisac
wiley +1 more source
Explicit constructions of short virtual resolutions of truncations
Bulletin of the London Mathematical Society, EarlyView.Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley +1 more source
Entropy maximizers for kinetic wave equations set on tori
Bulletin of the London Mathematical Society, EarlyView.Abstract We consider the kinetic wave equation, or phonon Boltzmann equation, set on the torus (physical system set on the lattice). We describe entropy maximizers for fixed mass and energy; our framework is very general, being valid in any dimension, for any dispersion relation, and even including the quantum kinetic wave equation.
Miguel Escobedo +3 more
wiley +1 more source
A note on the cohomology of moduli spaces of local shtukas
Bulletin of the London Mathematical Society, EarlyView.Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
Discrete Mathematics, 2013 AbstractWe provide a bijective proof of the identity ∑x∈λ(h(x)2−c(x)2)=|λ|2 where λ is an integer partition, h(x) is the hook number of the cell x∈λ, and c(x) is the content of x. A closely related identity is also proved bijectively.
openaire +2 more sources
A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, EarlyView.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
wiley +1 more source
Bijections for Dyck paths with colored hills [PDF]
Enumerative Combinatorics and Applications, 2022 Kostas Manes, Ioannis Tasoulas
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Latent Complete-Lattice Structure of Hilbert-Space Projectors
Quanta, 2019 To uncover the hidden complete-lattice structure of Hilbert-space projectors, which is not seen by the operator operations and relations (algebraically), resort is taken to the ranges of projectors (to subspaces—to geometry).
Fedor Herbut
doaj +1 more source