Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Zienkiewicz, Jacek"'
We consider a strictly stationary random field on the two-dimensional integer lattice with regularly varying marginal and finite-dimensional distributions. Exploiting the regular variation, we define the spatial extremogram which takes into account o
Externí odkaz:
http://arxiv.org/abs/2211.03260
We prove the weak type (1,1) estimate for maximal function of the truncated rough Hilbert transform considered in [9] and [10]
Externí odkaz:
http://arxiv.org/abs/2112.12392
We introduce atoms for dyadic atomic $H^1$ for which the equivalence between atomic and maximal function defnitions is dimension independent. We give the sharp, up to $\log(d)$ factor, estimates for the $H^1 \to L^1$ norm estimates for the special ma
Externí odkaz:
http://arxiv.org/abs/2108.10621
We describe the structure of the resolvent of the discrete rough truncated Hilbert transform under the critical exponent. This extends the results obtained in [8].
Externí odkaz:
http://arxiv.org/abs/2007.14360
Publikováno v:
In Stochastic Processes and their Applications January 2023 155:232-267
Autor:
Biler, Piotr, Zienkiewicz, Jacek
Publikováno v:
J. Evolution Equations 2018
We consider the simplest parabolic-elliptic model of chemotaxis in the whole space in several dimensions. Criteria for the blowup of radially symmetric solutions in terms of suitable Morrey spaces norms are derived.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/1807.02633
Autor:
Damek, Ewa, Zienkiewicz, Jacek
Publikováno v:
Journal of Difference Equations and Applications, 2018
We study solution X of the stochastic equation X = AX +B, where A is a random matrix and B,X are random vectors, the law of (A,B) is given and X is independent of (A,B). The equation is meant in law, the matrix A is 2x2 upper triangular, A_{11}=A_{22
Externí odkaz:
http://arxiv.org/abs/1806.08985
Autor:
Sikora, Adam, Zienkiewicz, Jacek
Quantum tunnelling phenomenon allows a particle in Schr\"odinger mechanics tunnels through a barrier that it classically could not overcome. Even the infinite potentials do not always form impenetrable barriers. We discuss an answer to the following
Externí odkaz:
http://arxiv.org/abs/1711.07006