Applications of stochastic analysis
2012/07/B/ST1/03356
Keywords
Descriptors
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
- ST1_11: Równania różniczkowe cząstkowe
- ST1_9: Algebry operatorowe i analiza funkcjonalna
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
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 5
Call
OPUS 4 – announced on 2012-09-15
- Amount awarded
- 392 060 PLN
- Project start date
- 2013-07-08
- Project end date
- 2016-07-07
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- laptopy. Cost: 9 600 PLN
Information in the final report
Publication in academic press/journals (25)
-
Small time sharp bounds for kernels of convolution semigroups
- Authors:
- Kaleta, Kamil; Sztonyk, Paweł
- Academic press:
- J. Anal. Math. (year: 2017, volume: 172, pages: 355-394), Publisher: SIAM
- Status:
- Published
- DOI:
- 10.1007/s11854-017-0023-6 – link to the publication
-
Principal eigenvalue of the fractional Laplacian with a large incompressible drift
- Authors:
- Bogdan, Krzysztof; Komorowski, Tomasz
- Academic press:
- NoDEA Nonlinear Differential Equations Appl. (year: 2014, volume: 21, pages: 541-566), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00030-013-0257-7 – link to the publication
-
Dirichlet heat kernel for unimodal Lévy processes
- Authors:
- Bogdan, Krzysztof; Grzywny, Tomasz; Ryznar, Michał
- Academic press:
- Stochastic Process. Appl. (year: 2014, volume: 124 (11), pages: 3612-3650), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.spa.2014.06.001 – link to the publication
-
Estimates of transition densities and their derivatives for jump Lévy processes
- Authors:
- Kaleta, Kamil; Sztonyk, Paweł
- Academic press:
- J. Math. Anal. Appl. (year: 2015, volume: 431 (1), pages: 260-282), Publisher: Elsevier, Inc.
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2015.05.061 – link to the publication
-
Martin kernel for fractional Laplacian in narrow cones
- Authors:
- Bogdan, Krzysztof; Siudeja, Bartłomiej; Stós, Andrzej
- Academic press:
- Potential Anal. (year: 2015, volume: 42, pages: 839-859), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11118-014-9459-9 – link to the publication
-
Barriers, exit time and survival probability for unimodal Lévy processes
- Authors:
- Bogdan, Krzysztof; Grzywny, Tomasz; Ryznar, Michał
- Academic press:
- Probab. Theory Relat. Fields (year: 2015, volume: 162, pages: 155–198), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00440-014-0568-6 – link to the publication
-
Characterizations for fractional Hardy inequality
- Authors:
- Dyda, Bartłomiej; Vähäkangas, Antti V.
- Academic press:
- Adv. Calc. Var. (year: 2015, volume: 8 (2), pages: 173-182), Publisher: De Gruyter
- Status:
- Published
- DOI:
- 10.1515/acv-2013-0019 – link to the publication
-
Upper estimates of transition densities for stable-dominated semigroups
- Authors:
- Kaleta, Kamil; Sztonyk, Paweł
- Academic press:
- J. Evol. Equ. (year: 2013, volume: 13(3), pages: 633--650), Publisher: Birkhäuser Basel
- Status:
- Published
- DOI:
- 10.1007/s00028-013-0194-2 – link to the publication
-
Majorization, 4G Theorem and Schrödinger perturbations
- Authors:
- Bogdan, Krzysztof; Butko, Yana; Szczypkowski, Karol
- Academic press:
- Journal of Evolution Equations (year: 2016, volume: 16, pages: 241-260), Publisher: Birkhäuser Verlag
- Status:
- Published
- DOI:
- 10.1007/s00028-015-0301-7 – link to the publication
-
Density and tails of unimodal convolution semigroups
- Authors:
- Bogdan, Krzysztof; Grzywny, Tomasz; Ryznar, Michał
- Academic press:
- J. Funct. Anal. (year: 2014, volume: 266 (6), pages: 3543-3571), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2014.01.007 – link to the publication
-
A framework for fractional Hardy inequalities
- Authors:
- Dyda, Bartłomiej; Vähäkangas, Antti V.
- Academic press:
- Ann. Acad. Sci. Fenn. Math. (year: 2014, volume: 39, pages: 675-689), Publisher: Finnish Academy of Science and Letters
- Status:
- Published
- DOI:
- 10.5186/aasfm.2014.3943 – link to the publication
-
Generalized tight p-frames and spectral bounds for Laplace-like operators
- Authors:
- Siudeja, Bartłomiej
- Academic press:
- Applied and Computational Harmonic Analysis (year: 2017, volume: 42, pages: 167–198), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.acha.2015.08.001 – link to the publication
-
Eigenvalues of the fractional Laplace operator in the unit ball
- Authors:
- Bartłomiej Dyda, Alexey Kuznetsov, Mateusz Kwaśnicki
- Academic press:
- J. London Math. Soc. (year: 2017, volume: 95, pages: 500-518), Publisher: Oxford University Press
- Status:
- Published
- DOI:
- 10.1112/jlms.12024 – link to the publication
-
Steklov Eigenvalues and Quasiconformal Maps of Simply Connected Planar Domains
- Authors:
- Girouard, A.; Laugesen, R. S.; Siudeja, B. A.
- Academic press:
- Arch Rational Mech Anal (year: 2016, volume: 219, pages: 903--936), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00205-015-0912-8 – link to the publication
-
Estimates of densities for Lévy processes with lower intensity of large jumps
- Authors:
- Sztonyk, Paweł
- Academic press:
- Math. Nachr. (year: 2016, volume: bd, pages: bd), Publisher: Wiley-VCH Verlag
- Status:
- Published
- DOI:
- 10.1002/mana201500189 – link to the publication
-
Hardy–Stein identities and square functions for semigroups
- Authors:
- Bogdan, Krzysztof; Banuelos, Rodrigo; Luks, Tomasz
- Academic press:
- J. London Math. Soc. (year: 2016, volume: 94, pages: 462-478), Publisher: London Mathematical Society
- Status:
- Published
- DOI:
- 10.1112/jlms/jdw042 – link to the publication
-
Trace estimates for unimodal Lévy processes
- Authors:
- Bogdan, Krzysztof; Siudeja, Bartłomiej
- Academic press:
- J. Evol. Equ. (year: 2016, volume: 16, pages: 857–876), Publisher: Birkhäuser Verlag
- Status:
- Published
- DOI:
- 10.1007/s00028-016-0322-x – link to the publication
-
The shape of the fundamental sloshing mode in axisymmetric containers
- Authors:
- Kulczycki, Tadeusz; Kwasnicki, Mateusz; Siudeja, Bartlomiej
- Academic press:
- J. Engineering Math. (year: 2016, volume: 99, pages: 157–183), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10665-015-9826-6 – link to the publication
-
On improved fractional Sobolev-Poincaré inequalities
- Authors:
- Dyda, Bartłomiej; Ihnatsyeva, Lizaveta; Vähäkangas, Antti V.
- Academic press:
- Arkiv för Matematik (year: 2016, volume: 24, pages: 437-454), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11512-015-0227-x – link to the publication
-
Hardy Inequalities and non-explosion Results for Semigroups
- Authors:
- Bogdan, Krzysztof; Dyda, Bartłomiej; Kim, Panki
- Academic press:
- Potential Anal. (year: 2016, volume: 44 (2), pages: 229-247), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11118-015-9507-0 – link to the publication
-
Hot spots conjecture for a class of acute triangles
- Authors:
- Siudeja, Bartłomiej
- Academic press:
- Math. Z. (year: 2015, volume: 280 (3), pages: 783-806), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00209-015-1448-1 – link to the publication
-
The Schur-Horn theorem for unbounded operators with discrete spectrum
- Authors:
- Bownik,Marcin; Jasper, John; Siudeja, Bartłomiej
- Academic press:
- B. London Math Soc (year: 2017, volume: 49, pages: 148-164), Publisher: Oxford University Press
- Status:
- Published
- DOI:
- 10.1112/blms.12013 – link to the publication
-
Magnetic spectral bounds on starlike plane domains
- Authors:
- Laugesen, Richard S.; Siudeja, Bartlomiej
- Academic press:
- ESAIM Control Optim. Calc. Var. (year: 2015, volume: 21 (3), pages: 670-689), Publisher: EDP
- Status:
- Published
- DOI:
- 10.1051/cocv/2014043 – link to the publication
-
Fractional Laplace operator and Meijer G-function
- Authors:
- Dyda, Bartłomiej; Kuznetsov, Alexey; Kwaśnicki, Mateusz
- Academic press:
- Constructive Approximation (year: 2017, volume: 45, pages: 427–448), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00365-016-9336-4 – link to the publication
-
Regularity estimates for elliptic nonlocal operators
- Authors:
- Bartłomiej Dyda, Moritz Kassmann
- Status:
- Accepted for publication
Book publications / chapters in book publications (1)
-
Levy systems and moment formulas for mixed Poisson integrals
- Authors:
- Bogdan, Krzysztof; Rosiński, Jan; Serafin, Grzegorz; Wojciechowski
- Book:
- Stochastic Analysis and its Applications, A Festschrift in Honor of Rodrigo Banuelos, Progress in Probability (year: 2017, volume: 72, pages: 139-164), Publisher: Springer
- Status:
- Published