Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Tomasz Luks"'
Autor:
Tomasz Luks, Yimin Xiao
Publikováno v:
Journal of Theoretical Probability. 33:153-179
We determine the Hausdorff dimension of the set of k-multiple points for a symmetric operator semistable Levy process $$X=\{X(t), t\in {\mathbb {R}}_+\}$$ in terms of the eigenvalues of its stability exponent. We also give a necessary and sufficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e02b7f8f0107156bdffed6d9dcd5bc45
https://doi.org/10.1007/s10959-018-0859-4
https://doi.org/10.1007/s10959-018-0859-4
Publikováno v:
Mathematische Nachrichten. 291:2516-2535
This paper establishes explicit solutions for fractional diffusion problems on bounded domains. It also gives stochastic solutions, in terms of Markov processes time‐changed by an inverse stable subordinator whose index equals the order of the frac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62799c6f41a07685eb938695f4637d73
https://doi.org/10.1002/mana.201700111
https://doi.org/10.1002/mana.201700111
Publikováno v:
Potential Analysis. 48:337-360
We prove the existence and study properties of the Green function of the unit ball for the Dunkl Laplacian $\Delta_k$ in $\mathbb{R}^d$. As applications we derive the Poisson-Jensen formula for $\Delta_k$-subharmonic functions and Hardy-Stein identit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a16b4f60d59708e2a363a57c42bf7b89
https://doi.org/10.1007/s11118-017-9638-6
https://doi.org/10.1007/s11118-017-9638-6
We derive two-sided bounds for the Newton and Poisson kernels of the $W$-invariant Dunkl Laplacian in geometric complex case when the multiplicity $k(\alpha)=1$, i.e. for flat complex symmetric spaces. For the invariant Dunkl-Poisson kernel $P^W(x,y)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31f9b6542cbb86967d0bdf4afbe09c1f
https://hal.archives-ouvertes.fr/hal-02318902/document
https://hal.archives-ouvertes.fr/hal-02318902/document
Autor:
Jaroslav Horský, Nathalie Labbe, Tomasz Luks, Nicolas Legrand, Alain Ehrlacher, Daniel Weisz-Patrault
Publikováno v:
Key Engineering Materials
Key Engineering Materials, Trans Tech Publications, 2012, 504-506, pp.1043-1048. ⟨10.4028/www.scientific.net/KEM.504-506.1043⟩
Key Engineering Materials, Trans Tech Publications, 2012, 504-506, pp.1043-1048. ⟨10.4028/www.scientific.net/KEM.504-506.1043⟩
This paper presents an analysis of roll bite heat transfers during hot steel strip rolling. Two types of temperature sensors (drilled sensor /slot sensor) implemented near roll surface and heat transfer models are used to identify in the roll bite in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ad36a30f9707c551d3c98122dc56bb9
https://doi.org/10.4028/www.scientific.net/kem.504-506.1043
https://doi.org/10.4028/www.scientific.net/kem.504-506.1043
Autor:
Yimin Xiao, Tomasz Luks
Publikováno v:
Journal of Theoretical Probability
Journal of Theoretical Probability, Springer, 2017, 30 (1), pp.297-325. ⟨10.1007/s10959-015-0638-4⟩
Journal of Theoretical Probability, Springer, 2017, 30 (1), pp.297-325. ⟨10.1007/s10959-015-0638-4⟩
We determine the Hausdorff dimension of the set of double points for a symmetric operator stable L\'evy process in terms of the eigenvalues of its stability exponent.
Comment: 20 pages, editorial changes, to appear in J. Theoret. Probab
Comment: 20 pages, editorial changes, to appear in J. Theoret. Probab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1089df013b510d4e2efc02adf0a8344f
https://hal.science/hal-01581067
https://hal.science/hal-01581067
Publikováno v:
Journal of the London Mathematical Society
Journal of the London Mathematical Society, 2015, 94 (2), pp.462-478. ⟨10.1112/jlms/jdw042⟩
Journal of the London Mathematical Society, London Mathematical Society, 2015, 94 (2), pp.462-478. ⟨10.1112/jlms/jdw042⟩
Journal of the London Mathematical Society, 2015, 94 (2), pp.462-478. ⟨10.1112/jlms/jdw042⟩
Journal of the London Mathematical Society, London Mathematical Society, 2015, 94 (2), pp.462-478. ⟨10.1112/jlms/jdw042⟩
We prove a Hardy-Stein type identity for the semigroups of symmetric, pure-jump L\'evy processes. Combined with the Burkholder-Gundy inequalities, it gives the $L^p$ two-way boundedness, for $1
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c31b1990f94f39cff14a5f2eb354f7d
http://arxiv.org/abs/1506.09007
http://arxiv.org/abs/1506.09007
Let $L=\Delta^{\alpha/2}+ b\cdot\nabla$ with $\alpha\in(1,2)$. We prove the Martin representation and the Relative Fatou Theorem for non-negative singular $L$-harmonic functions on ${\mathcal C}^{1,1}$ bounded open sets.
Comment: 28 pages, edito
Comment: 28 pages, edito
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::166d2d9173bc2b3ac13aa3f885ad67e0
https://hal.archives-ouvertes.fr/hal-00667276
https://hal.archives-ouvertes.fr/hal-00667276
Autor:
Tomasz Luks
39 pages; We study α-harmonic functions on the complement of the sphere and on the complement of the hyperplane in Euclidean spaces of dimension bigger than one, for 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::915df5b46f3a8cb7e6dd870476bf4be0
https://hal.archives-ouvertes.fr/hal-00650222
https://hal.archives-ouvertes.fr/hal-00650222
Publikováno v:
Hiroshima Math. J. 44, no. 2 (2014), 193-215
ResearcherID
ResearcherID
We characterize conditional Hardy spaces of the Laplacian and of the fractional Laplacian by using Hardy-Stein type identities.
23 pages, editorial changes and updated references, to appear in Hiroshima Math. J
23 pages, editorial changes and updated references, to appear in Hiroshima Math. J
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c35fd95c4f04e59d83614bf53c644a16
http://arxiv.org/abs/1109.0210
http://arxiv.org/abs/1109.0210