Any permutation of ordered n-element set [n]=:{1,..., n} may be regarded as introducing a
(possibly null) measure of disorder to that set. For example, the natural order of [7] is …

There has been considerable interest recently in the subject of patterns in permutations and
words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and …

Written by the creator of the modern theory of random tensors, this book is the first self-
contained introductory text to this rapidly developing theory. Starting from notions familiar to …

This article is preface to the SIGMA special issue''Tensor Models, Formalism and
Applications'', http://www. emis. de/journals/SIGMA/Tensor_Models. html. The issue is a …

Résumé On compte le nombre d'intervalles dans les treillis de Tamari. On utilise pour cela
une description récursive de l'ensemble des intervalles. On introduit ensuite une notion …

Consider a uniform rooted Cayley tree T n with n vertices and let m cars arrive sequentially,
independently, and uniformly on its vertices. Each car tries to park on its arrival node, and if …

We introduce a sequent calculus with a simple restriction of Lambek's product rules that
precisely captures the classical Tamari order, ie, the partial order on fullybracketed words …

In 2006, Chapoton defined a class of Tamari intervals called” new intervals” in his
enumeration of Tamari intervals, and he found that these new intervals are equi-enumerated …

arXiv:1802.08335v2 [math.CO] 26 Feb 2019 Page 1 arXiv:1802.08335v2 [math.CO] 26 Feb
2019 THE RISE-CONTACT INVOLUTION ON TAMARI INTERVALS VIVIANE PONS LRI, Univ …

We use a recently introduced combinatorial object, the interval-poset, to describe two
bijections on intervals of the Tamari lattice. Both bijections give a combinatorial proof of …