Results 51 to 60 of about 654,082 (251)

Random Walks in the Quarter Plane: Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics

open access: yes, 2018
This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries.
G. Fayolle   +2 more
semanticscholar   +1 more source

Recent developments in algebraic combinatorics

open access: yes, 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
Stanley, Richard P.
core   +2 more sources

Geometric Representations of Interacting Maps

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints.
Tsuyoshi Kato
doaj   +1 more source

Lattice structure of Grassmann-Tamari orders [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
The Tamari order is a central object in algebraic combinatorics and many other areas. Defined as the transitive closure of an associativity law, the Tamari order possesses a surprisingly rich structure: it is a congruence-uniform lattice.
Thomas McConville
doaj   +1 more source

On f- and h- vectors of relative simplicial complexes [PDF]

open access: yes, 2018
A relative simplicial complex is a collection of sets of the form $\Delta \setminus \Gamma$, where $\Gamma \subset \Delta$ are simplicial complexes.
Codenotti, Giulia   +2 more
core   +3 more sources

The Role of Dice in the Emergence of the Probability Calculus

open access: yesInternational Statistical Review, EarlyView.
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley   +1 more source

An inverse Grassmannian Littlewood–Richardson rule and extensions

open access: yesForum of Mathematics, Sigma
Chow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
doaj   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

Triangular arrangements on the projective plane [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2023
In this work we study line arrangements consisting in lines passing through three non-aligned points. We call them triangular arrangements. We prove that any combinatorics of a triangular arrangement is always realized by a Roots-of-Unity-Arrangement ...
Simone Marchesi, Jean Vallès
doaj  

The combinatorics of an algebraic class of easy quantum groups [PDF]

open access: yes, 2013
Easy quantum groups are compact matrix quantum groups, whose intertwiner spaces are given by the combinatorics of categories of partitions. This class contains the symmetric group Sn and the orthogonal group On as well as Wang's quantum permutation group
Sven Raum, Moritz Weber
semanticscholar   +1 more source

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