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14 papers · 1 filter
Two-dimensional Yang-Mills theory via integrable probability
Thibaut Lemoine
In this paper, we review the construction and large study of the continuous two-dimensional Yang--Mills theory with gauge group through probability, combinatori…
Commutation relations of and the incidence geometry of the Fano plane
Michel Rausch de Traubenberg, M J Slupinski
We continue our study and classification of structures on the Fano plane and its dual involved in the construction of octonions and the Lie algebra $\mat…
Moments of q-Jacobi Polynomials and q-Zeta Values
Frédéric Chapoton, Christian Krattenthaler, Jiang Zeng
We explore some connections between moments of rescaled little q-Jacobi polynomials, q-analogues of values at negative integers for some Dirichlet series, and the q-Eulerian polyno…
A geometric and combinatorial exploration of Hochschild lattices
Camille Combe
Hochschild lattices are specific intervals in the dexter meet-semilattices recently introduced by Chapoton. A natural geometric realization of these lattices leads to some cell com…
Enumeration of Standard Puzzles
Guo-Niu Han
We introduce a large family of combinatorial objects, called standard puzzles, defined by very simple rules. We focus on the standard puzzles for which the enumeration problems can…
-arrangements, statistics and patterns
Shishuo Fu, Guo-Niu Han, Zhicong Lin
The -arrangements are permutations whose fixed points are -colored. We prove enumerative results related to statistics and patterns on -arrangements, confirming several co…