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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Reccurent sets for random walk driven by low moment measures.

2013/11/N/ST1/03605

Keywords:

random walk subordination transition function Green function reccurent set asymtotic

Descriptors:

  • ST1_13: Probability and statistics
  • 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 :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Wojciech Cygan 

Number of co-investigators in the project: 2

Call: PRELUDIUM 6 - announced on 2013-09-16

Amount awarded: 61 940 PLN

Project start date (Y-m-d): 2014-09-04

Project end date (Y-m-d): 2016-09-03

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. komputer przenośny (laptop) (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. Alpha-stable random walk has massive thorns
    Authors:
    Alexander Bendikov, Wojciech Cygan
    Academic press:
    Colloquium Mathematicum (rok: 2015, tom: 138, strony: 105-129), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/cm138-1-7 - link to the publication
  2. Heat content for convolution semigroups
    Authors:
    Wojciech Cygan, Tomasz Grzywny
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 446, strony: 1393-1414), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.09.051 - link to the publication
  3. Limit theorems for random walks
    Authors:
    Alexander Bendikov, Wojciech Cygan, Bartosz Trojan
    Academic press:
    Stochastic Processes and their Applications (rok: 2017, tom: 127(10), strony: 3268-3290), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2017.02.008 - link to the publication
  4. On massive sets for subordinated random walks
    Authors:
    Alexander Bendikov, Wojciech Cygan
    Academic press:
    Mathematische Nachrichten (rok: 2015, tom: 288 (Issue 8-9), strony: 841-853), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mana.201400037 - link to the publication
  5. Asymptotic behavior of densities of unimodal convolution semigroups
    Authors:
    Wojciech Cygan, Tomasz Grzywny, Bartosz Trojan
    Academic press:
    Transactions of the American Mathematical Society (rok: 2017, tom: 369, strony: 5623-5644), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/6830 - link to the publication
  6. Oscillating heat kernels on ultrametric spaces
    Authors:
    Alexader Bendikov, Wojciech Cygan, Wolfgang Woess
    Academic press:
    Journal of Spectral Theory (rok: 2016, ), Wydawca: EUROPEAN MATHEMATICAL SOCIETY
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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