Randomly perturbated Hierarchical Laplacian and Poisson statistics of its spectrum
2015/17/B/ST1/00062
Keywords
Descriptors
- ST1_8: Analiza
- ST1_9: Algebry operatorowe i analiza funkcjonalna
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
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
Voivodeship: dolnośląskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
OPUS 9 – announced on 2015-03-16
- Amount awarded
- 263 800 PLN
- Project start date
- 2016-02-18
- Project end date
- 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]
- Laptop. Cost: 10 000 PLN
Information in the final report
Publication in academic press/journals (9)
-
Poisson approximation related to spectra of hierarchical Laplacians
- Authors:
- A. Bendikov, W. Cygan
- Academic press:
- Stochastics and Dynamics (year: 2020, volume: 20(5), pages: 17pp.), Publisher: World Scientific
- Status:
- Published
- DOI:
- 10.1142/S0219493720500355 – link to the publication
-
On recurrence of the multidimensional Lindley process
- Authors:
- Wojciech Cygan, Judith Kloas
- Academic press:
- Electronic Communications in Probability (year: 2018, volume: 23, pages: 14pp), Publisher: The Institute of Mathematical Statistics
- Status:
- Published
- DOI:
- 10.1214/18-ECP106 – link to the publication
-
On the rate of convergence in the central limit theorem for hierarchical Laplacian
- Authors:
- Alexander Bendikov, Wojciech Cygan
- Academic press:
- ESAIM: Probability and Statistics (year: 2019, volume: 23, pages: 68-81), Publisher: EDP Sciences, SMAI
- Status:
- Published
- DOI:
- 10.1051/ps/2018010 – link to the publication
-
A note on the generalized heat content for Levy processes
- Authors:
- Wojciech Cygan, Tomasz Grzywny
- Academic press:
- Bulletin of the Korean Mathematical Society (year: 2018, volume: 55(5), pages: 1463-1481), Publisher: Korean Mathematical Society
- Status:
- Published
- DOI:
- 10.4134/BKMS.b170835 – link to the publication
-
Oscillating heat kernels on ultrametric spaces
- Authors:
- Alexander Bendikov, Wojciech Cygan and Wolfgang Woess
- Academic press:
- Journal of Spectral Theory (year: 2019, volume: 9(1), pages: 195–226), Publisher: EUROPEAN MATHEMATICAL SOC
- Status:
- Published
- DOI:
- 10.4171/JST/245 – link to the publication
-
Heat Kernels for Isotropic-Like Markov Generators on Ultrametric Spaces: a Survey
- Authors:
- Alexander Bendikov
- Academic press:
- p-Adic Numbers, Ultrametric Analysis and Applications (year: 2018, volume: 10, pages: 46033), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1134/S2070046618010016 – link to the publication
-
Poisson statistics of eigenvalues in the hierarchical Dyson model
- Authors:
- Alexander Bendikov, Anton Braverman, John Pike
- Academic press:
- THEORY OF PROBABILITY AND ITS APPLICATIONS (year: 2018, volume: 63(1), pages: 93-116), Publisher: SIAM PUBLICATIONS
- Status:
- Published
- DOI:
- 10.1137/S0040585X97T988939 – link to the publication
-
Transition probability estimates for subordinate random walks
- Authors:
- W. Cygan, S. Šebek
- Status:
- Accepted for publication
-
Heat kernels and non-local Dirichlet forms on ultrametric spaces
- Authors:
- Alexander Bendikov, Alexander Grigor'yan, Eryan Hu, Jixaxin Hu
- Status:
- Accepted for publication