Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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Structure of random permutations and the interchange process

2019/32/C/ST1/00525

Keywords:

random permutations interchange process phase transitions quantum spin systems

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_14: Discrete mathematics and combinatorics
  • ST1_12: Mathematical methods of physics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Michał Kotowski 

Number of co-investigators in the project: 1

Call: SONATINA 3 - announced on 2018-12-14

Amount awarded: 597 419 PLN

Project start date (Y-m-d): 2019-11-04

Project end date (Y-m-d): 2022-11-03

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (2)
  1. Phase transition for the interchange and quantum Heisenberg models on the Hamming graph
    Authors:
    Radosław Adamczak, Michał Kotowski, Piotr Miłoś
    Academic press:
    Annales de l'Institut Henri Poincare (B) Probability and Statistics (rok: 2021, tom: 57 (1), strony: 273-325), Wydawca: Institut Henri Poincaré
    Status:
    Published
    DOI:
    10.1214/20-AIHP1079 - link to the publication
  2. Large deviations for the interchange process on the interval and incompressible flows
    Authors:
    Michał Kotowski, Bálint Virág
    Academic press:
    Geometric and Functional Analysis (rok: 2022, tom: n/a, strony: n/a), Wydawca: Birkhäuser
    Status:
    Published
    DOI:
    10.1007/s00039-022-00623-6 - link to the publication