Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Randomly perturbated Hierarchical Laplacian and Poisson statistics of its spectrum

2015/17/B/ST1/00062

Keywords:

ultrametric space hierarchical Laplacian random perturbation

Descriptors:

  • ST1_8: Analysis
  • ST1_9: Operator algebras and functional analysis
  • ST1_13: Probability and statistics

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. Alexander Bendikov 

Number of co-investigators in the project: 2

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 263 800 PLN

Project start date (Y-m-d): 2016-02-18

Project end date (Y-m-d): 2019-02-17

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

Project status: Project settled

Project description

Download the project description in a pdf file

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

Equipment purchased [PL]

  1. Laptop (10 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. Oscillating heat kernels on ultrametric spaces
    Authors:
    Alexander Bendikov, Wojciech Cygan and Wolfgang Woess
    Academic press:
    Journal of Spectral Theory (rok: 2019, tom: 9(1), strony: 195–226), Wydawca: EUROPEAN MATHEMATICAL SOC
    Status:
    Published
    DOI:
    10.4171/JST/245 - link to the publication
  2. A note on the generalized heat content for Levy processes
    Authors:
    Wojciech Cygan, Tomasz Grzywny
    Academic press:
    Bulletin of the Korean Mathematical Society (rok: 2018, tom: 55(5), strony: 1463-1481), Wydawca: Korean Mathematical Society
    Status:
    Published
    DOI:
    10.4134/BKMS.b170835 - link to the publication
  3. Heat Kernels for Isotropic-Like Markov Generators on Ultrametric Spaces: a Survey
    Authors:
    Alexander Bendikov
    Academic press:
    p-Adic Numbers, Ultrametric Analysis and Applications (rok: 2018, tom: 10, strony: 45302), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1134/S2070046618010016 - link to the publication
  4. On recurrence of the multidimensional Lindley process
    Authors:
    Wojciech Cygan, Judith Kloas
    Academic press:
    Electronic Communications in Probability (rok: 2018, tom: 23, strony: 14pp), Wydawca: The Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/18-ECP106 - link to the publication
  5. On the rate of convergence in the central limit theorem for hierarchical Laplacian
    Authors:
    Alexander Bendikov, Wojciech Cygan
    Academic press:
    ESAIM: Probability and Statistics (rok: 2019, tom: 23, strony: 68-81), Wydawca: EDP Sciences, SMAI
    Status:
    Published
    DOI:
    10.1051/ps/2018010 - link to the publication
  6. Poisson statistics of eigenvalues in the hierarchical Dyson model
    Authors:
    Alexander Bendikov, Anton Braverman, John Pike
    Academic press:
    THEORY OF PROBABILITY AND ITS APPLICATIONS (rok: 2018, tom: 63(1), strony: 93-116), Wydawca: SIAM PUBLICATIONS
    Status:
    Published
    DOI:
    10.1137/S0040585X97T988939 - link to the publication
  7. Poisson approximation related to spectra of hierarchical Laplacians
    Authors:
    A. Bendikov, W. Cygan
    Academic press:
    Stochastics and Dynamics (rok: 2020, tom: 20(5), strony: 17pp.), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219493720500355 - link to the publication
  8. Transition probability estimates for subordinate random walks
    Authors:
    W. Cygan, S. Šebek
    Academic press:
    Mathematische Nachrichten (rok: 2019, ), Wydawca: WILEY-V C H VERLAG GMBH
    Status:
    Accepted for publication
    DOI:
    10.1002/mana.201900065 - link to the publication
  9. Heat kernels and non-local Dirichlet forms on ultrametric spaces
    Authors:
    Alexander Bendikov, Alexander Grigor'yan, Eryan Hu, Jixaxin Hu
    Academic press:
    Annali della Scuola Normale Superiore di Pisa (rok: 2019, ), Wydawca: SCUOLA NORMALE SUPERIORE
    Status:
    Accepted for publication
    DOI:
    10.2422/2036-2145.201901_011 - link to the publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy