---
_id: '8175'
abstract:
- lang: eng
text: We study edge asymptotics of poissonized Plancherel-type measures on skew
Young diagrams (integer partitions). These measures can be seen as generalizations
of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's
problem on longest increasing subsequences of random permutations and the last
passage percolation (corner growth) discrete versions thereof. Moreover they interpolate
between said measures and the uniform measure on partitions. In the new KPZ-like
1/3 exponent edge scaling limit with logarithmic corrections, we find new probability
distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions
from the theory of random matrices.
acknowledgement: "D.B. is especially grateful to Patrik Ferrari for suggesting simplifications
in Section 3 and\r\nto Alessandra Occelli for suggesting the name for the models
of Section 2.\r\n"
article_number: '34'
article_processing_charge: No
author:
- first_name: Dan
full_name: Betea, Dan
last_name: Betea
- first_name: Jérémie
full_name: Bouttier, Jérémie
last_name: Bouttier
- first_name: Peter
full_name: Nejjar, Peter
id: 4BF426E2-F248-11E8-B48F-1D18A9856A87
last_name: Nejjar
- first_name: Mirjana
full_name: Vuletíc, Mirjana
last_name: Vuletíc
citation:
ama: 'Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young
diagrams via free boundaries. In: Proceedings on the 31st International Conference
on Formal Power Series and Algebraic Combinatorics. Formal Power Series and
Algebraic Combinatorics; 2019.'
apa: 'Betea, D., Bouttier, J., Nejjar, P., & Vuletíc, M. (2019). New edge asymptotics
of skew Young diagrams via free boundaries. In Proceedings on the 31st International
Conference on Formal Power Series and Algebraic Combinatorics. Ljubljana,
Slovenia: Formal Power Series and Algebraic Combinatorics.'
chicago: Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge
Asymptotics of Skew Young Diagrams via Free Boundaries.” In Proceedings on
the 31st International Conference on Formal Power Series and Algebraic Combinatorics.
Formal Power Series and Algebraic Combinatorics, 2019.
ieee: D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of
skew Young diagrams via free boundaries,” in Proceedings on the 31st International
Conference on Formal Power Series and Algebraic Combinatorics, Ljubljana,
Slovenia, 2019.
ista: 'Betea D, Bouttier J, Nejjar P, Vuletíc M. 2019. New edge asymptotics of skew
Young diagrams via free boundaries. Proceedings on the 31st International Conference
on Formal Power Series and Algebraic Combinatorics. FPSAC: International Conference
on Formal Power Series and Algebraic Combinatorics, 34.'
mla: Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.”
Proceedings on the 31st International Conference on Formal Power Series and
Algebraic Combinatorics, 34, Formal Power Series and Algebraic Combinatorics,
2019.
short: D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st
International Conference on Formal Power Series and Algebraic Combinatorics, Formal
Power Series and Algebraic Combinatorics, 2019.
conference:
end_date: 2019-07-05
location: Ljubljana, Slovenia
name: 'FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics'
start_date: 2019-07-01
date_created: 2020-07-26T22:01:04Z
date_published: 2019-07-01T00:00:00Z
date_updated: 2021-01-12T08:17:18Z
day: '01'
department:
- _id: LaEr
ec_funded: 1
external_id:
arxiv:
- '1902.08750'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1902.08750
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
publication: Proceedings on the 31st International Conference on Formal Power Series
and Algebraic Combinatorics
publication_status: published
publisher: Formal Power Series and Algebraic Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: New edge asymptotics of skew Young diagrams via free boundaries
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2019'
...