Results 51 to 60 of about 1,690,008 (302)
Positroids, knots, and q,t-Catalan numbers
Duke mathematical journal. We relate the mixed Hodge structure on the cohomology of open positroid varieties (in particular, their Betti numbers over C and point counts over F q ) to Khovanov– Rozansky homology of the associated links.
Pavel Galashin, Thomas Lam
semanticscholar +1 more source
Intersection Numbers on Fibrations and Catalan Numbers
Experimental Mathematics, 2023 On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.
Rimma Hämäläinen +2 more
openaire +2 more sources
Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
$q,t$-Fuß-Catalan numbers for complex reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In type $A$, the $q,t$-Fuß-Catalan numbers $\mathrm{Cat}_n^{(m)}(q,t)$ can be defined as a bigraded Hilbert series of a module associated to the symmetric group $\mathcal{S}_n$.
Christian Stump
doaj +1 more source
Advanced Materials, EarlyView.The Y supersaturation in the [Ba‐Cu(I/II)‐O] transient liquid composition is the driving force toward YBCO nucleation and growth in TLAG. Tuning the initial (Ba:Cu) molar ratio in the ink composition determines the YBCO epitaxial nucleation through supersaturation control.
Lavinia Saltarelli +12 more
wiley +1 more source
Chromatic Spectrum of $K_s$-WORM Colorings of $K_n$ [PDF]
Computer Science Journal of Moldova, 2020 An {\it $H$-WORM} coloring of a simple graph $G$ is the coloring of the vertices of $G$ such that no copy of $H\subseteq G$ is monochrome or rainbow. In a recently published article by one of the authors \cite{All1}, it was claimed that the number of $r$
Julian A.D. Allagan, Kenneth L. Jones
doaj
Generalized compositions with a fixed number of parts [PDF]
, 2010 We investigate compositions of a positive integer with a fixed number of parts, when there are several types of each natural number. These compositions produce new relationships among binomial coefficients, Catalan numbers, and numbers of the Catalan ...
Janjic, Milan
core
Restricted ascent sequences and Catalan numbers
, 2014 Ascent sequences are those consisting of non-negative integers in which the size of each letter is restricted by the number of ascents preceding it and have been shown to be equinumerous with the (2+2)-free posets of the same size.
Callan, David +2 more
core +1 more source
Advanced Materials, EarlyView.Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
wiley +1 more source
Some combinatorial identities containing central binomial coefficients or Catalan numbers*
Applied Mathematics in Science and Engineering, 2023 In the article, by virtue of Maclaurin's expansions of the arcsine function and its square and cubic, the authors give a short proof of a sum formula of a Maclaurin's series with coefficients containing reciprocals of the Catalan numbers; establish four ...
Feng Qi, Da-Wei Niu, Dongkyu Lim
doaj +1 more source