Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Frączek, Krzysztof"'
Autor:
Frączek, Krzysztof
We study two uncoupled oscillators, horizontal and vertical, residing in rectilinear polygons (with only vertical and horizontal sides) and impacting elastically from their boundary. The main purpose of the article is to analyze the occurrence of res
Externí odkaz:
http://arxiv.org/abs/2405.14464
Autor:
Frączek, Krzysztof, Kim, Minsung
Continuing the research initiated in \cite{Fr-Ki2}, we study the existence of solutions and their regularity for the cohomological equations $X u=f$ for locally Hamiltonian flows (determined by the vector field $X$) on a compact surface $M$ of genus
Externí odkaz:
http://arxiv.org/abs/2306.02340
Autor:
Frączek, Krzysztof, Kim, Minsung
We study the cohomological equation $Xu=f$ for smooth locally Hamiltonian flows on compact surfaces. The main novelty of the proposed approach is that it is used to study the regularity of the solution $u$ when the flow has saddle loops, which has no
Externí odkaz:
http://arxiv.org/abs/2305.16884
Autor:
Frączek, Krzysztof, Kim, Minsung
We consider smooth locally Hamiltonian flows on compact surfaces of genus $g\geq 2$ to prove their deviation of Birkhoff integrals for smooth observables. Our work generalizes results of Forni and Bufetov which prove the existence of deviation spectr
Externí odkaz:
http://arxiv.org/abs/2112.13030
Autor:
Frączek, Krzysztof, Ulcigrai, Corinna
We consider smooth area-preserving flows (also known as locally Hamiltonian flows) on surfaces of genus $g\geq 1$ and study ergodic integrals of smooth observables along the flow trajectories. We show that these integrals display a \emph{power deviat
Externí odkaz:
http://arxiv.org/abs/2112.05939
Autor:
Frączek, Krzysztof, Rom-Kedar, Vered
The ergodic properties of two uncoupled oscillators, a horizontal and vertical one, residing in a class of non rectangular star-shaped polygons with only vertical and horizontal boundaries and impacting elastically from its boundaries are studied. We
Externí odkaz:
http://arxiv.org/abs/2012.07342
Publikováno v:
Ergod. Th. Dynam. Sys. 42 (2022) 1446-1473
We prove that neither a prime nor {an l-almost prime} number theorem hold in the class of regular Toeplitz subshifts. But, {when a quantitative strengthening of the regularity with respect to the periodic structure involving Euler's totient function
Externí odkaz:
http://arxiv.org/abs/2004.10418
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surface is two, almost every such locally Hamiltonian flow with two non de
Externí odkaz:
http://arxiv.org/abs/1912.10250
Autor:
Kępińska-Pacelik, Jagoda, Biel, Wioletta, Witkowicz, Robert, Frączek, Krzysztof, Bulski, Karol
Publikováno v:
In Research in Veterinary Science December 2023 165
