14 citations · 15 across the 4 of their papers we have counts for
8 papers
Whittle estimation based on the extremal spectral density of a heavy-tailed random field
Ewa Damek, Thomas Mikosch, Yuwei Zhao +1
We consider a strictly stationary random field on the two-dimensional integer lattice with regularly varying marginal and finite-dimensional distributions. Exploiting the regular v…
Dimension independent atomic decoposition for dyadic martingale
Maciej Paluszynski, Jacek Zienkiewicz
We introduce atoms for dyadic atomic for which the equivalence between atomic and maximal function defnitions is dimension independent. We give the sharp, up to fac…
On Inverses of Discrete Rough Hilbert Transforms
Maciej Paluszynski, Jacek Zienkiewicz
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].
Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis
Piotr Biler, Jacek Zienkiewicz
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 suitab…
Affine stochastic equation with triangular matrices
Ewa Damek, Jacek Zienkiewicz
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 equati…
Weak type (1,1) estimates for inverses of discrete rough singular integral operators
Maciej Paluszynski, Jacek Zienkiewicz
We obtain weak type (1,1) estimates for the inverses of truncated discrete rough Hilbert transform. We include an ex- ample showing that our result is sharp. One of the ingredients…