Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Mathieu Guay-Paquet"'
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
A poset is $(3+1)$-free if it does not contain the disjoint union of chains of length 3 and 1 as an induced subposet. These posets are the subject of the $(3+1)$-free conjecture of Stanley and Stembridge. Recently, Lewis and Zhang have enumerated $\t
Externí odkaz:
https://doaj.org/article/4fefd268d87a46adb951b8d9c4c960cb
Publikováno v:
Annals of Combinatorics. 21:73-81
Monotone Hurwitz numbers were introduced by the authors as a combinatorially natural desymmetrization of the Hurwitz numbers studied in enumerative algebraic geometry. Over the course of several papers, we developed the structural theory of monotone
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f9e9b049178bed50511e7548e445e3d
https://doi.org/10.1007/s00026-017-0341-5
https://doi.org/10.1007/s00026-017-0341-5
Autor:
John Harnad, Mathieu Guay-Paquet
Publikováno v:
Letters in Mathematical Physics. 105:827-852
Two methods of constructing 2D Toda τ-functions that are generating functions for certain geometrical invariants of a combinatorial nature are related. The first involves generation of paths in the Cayley graph of the symmetric group Sn by multiplic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25398290d4117d2ca57731ace4cb2110
https://doi.org/10.1007/s11005-015-0756-z
https://doi.org/10.1007/s11005-015-0756-z
Publikováno v:
Advances in Mathematics. 238:1-23
Hurwitz numbers count branched covers of the Riemann sphere with specified ramification, or equivalently, transitive permutation factorizations in the symmetric group with specified cycle types. Monotone Hurwitz numbers count a restricted subset of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c40ca428ca47aefd4f452a04953dd36
https://doi.org/10.1016/j.aim.2013.01.012
https://doi.org/10.1016/j.aim.2013.01.012
This article introduces mixed double Hurwitz numbers, which interpolate com- binatorially between the classical double Hurwitz numbers studied by Okounkov and the monotone double Hurwitz numbers introduced recently by Goulden, Guay-Paquet and No- vak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbf68869d20735fb24fb0d57fc7886e7
http://dspace.nbuv.gov.ua/handle/123456789/147740
http://dspace.nbuv.gov.ua/handle/123456789/147740
Autor:
Mathieu Guay-Paquet, Jeffrey Shallit
Publikováno v:
Discrete Mathematics. 309:6245-6254
We consider avoiding squares and overlaps over the natural numbers, using a greedy algorithm that chooses the least possible integer at each step; the word generated is lexicographically least among all such infinite words. In the case of avoiding sq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57e1ca13c2338c38b2ec3993cf86b8a7
https://doi.org/10.1016/j.disc.2009.06.004
https://doi.org/10.1016/j.disc.2009.06.004
Publikováno v:
Advances in Applied Mathematics
Advances in Applied Mathematics, Elsevier, 2015, 69, pp.1-45. ⟨10.1016/j.aam.2015.05.001⟩
Advances in Applied Mathematics, 2015, 69, pp.1-45. ⟨10.1016/j.aam.2015.05.001⟩
Advances in Applied Mathematics, Elsevier, 2015, 69, pp.1-45. 〈10.1016/j.aam.2015.05.001〉
Advances in Applied Mathematics, Elsevier, 2015, 69, pp.1-45. ⟨10.1016/j.aam.2015.05.001⟩
Advances in Applied Mathematics, 2015, 69, pp.1-45. ⟨10.1016/j.aam.2015.05.001⟩
Advances in Applied Mathematics, Elsevier, 2015, 69, pp.1-45. 〈10.1016/j.aam.2015.05.001〉
We study joint free cumulants of u_t and u_t^{*}, where u_t is a free unitary Brownian motion at time t. We determine explicitly some special families of such cumulants. On the other hand, for a general joint cumulant of u_t and u_t^{*}, we "calculat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d84cfbdda930aaf66968a62f895a381
https://hal.archives-ouvertes.fr/hal-01057826
https://hal.archives-ouvertes.fr/hal-01057826
Autor:
Kyle Petersen, Mathieu Guay-Paquet
Publikováno v:
The Electronic Journal of Combinatorics. 21
In a 1977 paper, Diaconis and Graham studied what Knuth calls the total displacement of a permutation $w$, which is the sum of the distances $|w(i)-i|$. In recent work of the first author and Tenner, this statistic appears as twice the type $A_{n-1}$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a4bb181e16cb73cf5a9da36be5831b2
https://doi.org/10.37236/4329
https://doi.org/10.37236/4329
Autor:
John Harnad, Mathieu Guay-Paquet
Double Hurwitz numbers enumerating weighted $n$-sheeted branched coverings of the Riemann sphere or, equivalently, weighted paths in the Cayley graph of $S_n$ generated by transpositions are determined by an associated weight generating function. A u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96e388d5d30efa513e9f193a322d93ee
http://arxiv.org/abs/1408.6766
http://arxiv.org/abs/1408.6766
We investigate the combinatorics of real double Hurwitz numbers with real positive branch points using the symmetric group. Our main focus is twofold. First, we prove correspondence theorems relating these numbers to counts of tropical real covers an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84cfca9e50c0dc7db3dfe83c54e36fca