<div class="csl-bib-body">
<div class="csl-entry">Wallner, M. (2023, April 21). <i>Lattice pathology and Symmetric Functions</i> [Presentation]. Séminaire SPACE 2023, Paris, France.</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/191567
-
dc.description.abstract
We revisit and extend a list of formulas based on lattice path surgery: cut-and-paste methods, factorizations, the kernel method, etc. For this purpose, we focus on the natural model of directed lattice paths (also called generalized Dyck paths). We introduce the notion of prime walks, which appear to be the key structure to get natural decompositions of excursions, meanders, bridges, directly leading to the associated context-free grammars. This allows us to give bijective proofs of bivariate versions of Spitzer/Sparre Andersen/Wiener - Hopf formulas, thus capturing joint distributions. We also show that each of the fundamental families of symmetric polynomials corresponds to a lattice path generating function, and that these symmetric polynomials are accordingly needed to express the asymptotic enumeration of these paths and some parameters of limit laws.
This is joint work with Cyril Banderier and Marie-Louise Lackner.
en
dc.language.iso
en
-
dc.subject
Lattice paths
en
dc.subject
Kernel method
en
dc.subject
Symmetric functions
en
dc.title
Lattice pathology and Symmetric Functions
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Presentation
-
tuw.publication.invited
invited
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
tuw.publication.orgunit
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
-
tuw.author.orcid
0000-0001-8581-449X
-
tuw.event.name
Séminaire SPACE 2023
-
tuw.event.startdate
21-04-2023
-
tuw.event.enddate
21-04-2023
-
tuw.event.online
On Site
-
tuw.event.type
Event for scientific audience
-
tuw.event.place
Paris
-
tuw.event.country
FR
-
tuw.event.presenter
Wallner, Michael
-
wb.sciencebranch
Informatik
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1020
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
5
-
wb.sciencebranch.value
95
-
item.languageiso639-1
en
-
item.openairetype
conference presentation
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
-
crisitem.author.dept
E104 - Institut für Diskrete Mathematik und Geometrie
