Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Correlation inequalities for point processes

2015/19/B/ST1/01152

Keywords:

Point process correlation function Poincare inequalities log-Sobolev inequality stochastic ordering Poisson point process chaos expansion Gibbs point processes determinantal point proceses permanental point processes void probabilities Glauber dynamics FKG MTP2 RR2 negative/positive association

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_18: Control theory and optimisation

Panel:

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

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Ryszard Szekli 

Number of co-investigators in the project: 1

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 109 440 PLN

Project start date (Y-m-d): 2016-06-28

Project end date (Y-m-d): 2020-06-27

Project duration:: 48 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. Some remarks on associated random fields, random measures and point processes
    Authors:
    Last, G. Szekli, R. and Yogeshwaran, D.
    Academic press:
    ALEA-LAT AM JPROBAB (rok: 2020, tom: 17, strony: 355-374), Wydawca: Instituto Nacional de Matematica Pura e Aplicada
    Status:
    Published
    DOI:
    10.30757/ALEA.v17-14 - link to the publication
  2. On negative association of some finite point processes on general state spaces
    Authors:
    G. Last and R. Szekli
    Academic press:
    Journal of Applied Probability (rok: 2019, tom: 56, strony: 139-152), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/jpr.2019.10 - link to the publication