Results 31 to 40 of about 69 (69)
WIREs Computational Statistics, Volume 17, Issue 2, June 2025.A four‐run orthogonal array for three two‐level factors. ABSTRACT Orthogonal arrays are arguably one of the most fascinating and important statistical tools for efficient data collection. They have a simple, natural definition, desirable properties when used as fractional factorials, and a rich and beautiful mathematical theory.
C. Devon Lin, John Stufken
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On Rainbow Turán Densities of Trees
Random Structures &Algorithms, Volume 66, Issue 3, May 2025.ABSTRACT For a given collection 𝒢=(G1,…,Gk) of graphs on a common vertex set V$$ V $$, which we call a graph system, a graph H$$ H $$ on a vertex set V(H)⊆V$$ V(H)\subseteq V $$ is called a rainbow subgraph of 𝒢 if there exists an injective function ψ:E(H)→[k]$$ \psi :E(H)\to \left[k\right] $$ such that e∈Gψ(e)$$ e\in {G}_{\psi (e)} $$ for each e∈E(H)$$
Seonghyuk Im +3 more
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Restart Perturbations for Reversible Markov Chains: Trichotomy and Pre‐Cutoff Equivalence
Random Structures &Algorithms, Volume 66, Issue 3, May 2025.ABSTRACT Given a reversible Markov chain Pn$$ {P}_n $$ on n$$ n $$ states, and another chain P˜n$$ {\tilde{P}}_n $$ obtained by perturbing each row of Pn$$ {P}_n $$ by at most αn$$ {\alpha}_n $$ in total variation, we study the total variation distance between the two stationary distributions, ‖πn−π˜n‖$$ \left\Vert {\pi}_n-{\tilde{\pi}}_n\right\Vert $$.
Daniel Vial, Vijay Subramanian
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Recent developments in algebraic combinatorics [PDF]
Israel Journal of Mathematics, 2004 A survey of three recent developments in algebraic combinatorics: (1) the Laurent phenomenon, (2) Gromov-Witten invariants and toric Schur functions, and (3) toric h-vectors and intersection cohomology. This paper is a continuation of "Recent progress in algebraic combinatorics" (math.CO/0010218), which dealt with three other topics.
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Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
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Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
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Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov +2 more
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Multiplication and combinatorics in the Steenrod algebra
Journal of Pure and Applied Algebra, 1996 AbstractThis paper is concerned with multiplication in the mod-2 Steenrod algebra, as expressed in terms of both the Milnor basis and the basis of admissible elements. Part I describes techniques for graphically representing Milnor basis elements and for interpreting combinatorially the matrices that arise in their multiplication table, and Part II ...
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Hopf Algebras in Combinatorics
, 2014 These notes -- originating from a one-semester class by their second author at the University of Minnesota -- survey some of the most important Hopf algebras appearing in combinatorics. After introducing coalgebras, bialgebras and Hopf algebras in general, we study the Hopf algebra of symmetric functions, including Zelevinsky's axiomatic ...
Grinberg, Darij, Reiner, Victor
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The minima of the geodesic length functions of uniform filling curves
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract There is a natural link between (multi‐)curves that fill up a closed oriented surface and dessins d'enfants. We use this approach to exhibit explicitly the minima of the geodesic length function of filling curves that admit a self‐transverse homotopy equivalent representative such that all self‐intersection points, as well as all faces of the ...
Ernesto Girondo +2 more
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