On shrinking targets for piecewise expanding interval maps
T Persson, M Rams - Ergodic Theory and Dynamical Systems, 2017 - cambridge.org
On shrinking targets for piecewise expanding interval maps Page 1 Ergod. Th. & Dynam. Sys.
(2017), 37, 646–663 doi:10.1017/etds.2015.49 c Cambridge University Press, 2015 On …
(2017), 37, 646–663 doi:10.1017/etds.2015.49 c Cambridge University Press, 2015 On …
Intrinsic Diophantine approximation for overlapping iterated function systems
S Baker - Mathematische Annalen, 2024 - Springer
In this paper we study a family of limsup sets that are defined using iterated function
systems. Our main result is an analogue of Khintchine's theorem for these sets. We then …
systems. Our main result is an analogue of Khintchine's theorem for these sets. We then …
A note on random coverings of tori
T Persson - Bulletin of the London Mathematical Society, 2015 - Wiley Online Library
This note provides a generalization of a recent result by Järvenpää, Järvenpää, Koivusalo,
Li, and Suomala (to appear) on the dimension of limsup‐sets of random coverings of tori …
Li, and Suomala (to appear) on the dimension of limsup‐sets of random coverings of tori …
Hausdorff dimension of recurrence sets
Z Hu, T Persson - arXiv preprint arXiv:2303.02594, 2023 - arxiv.org
We consider linear mappings on the $ d $-dimensional torus, defined by $ T (x)= Ax\pmod
1$, where $ A $ is an invertible $ d\times d $ integer matrix, with no eigenvalues on the unit …
1$, where $ A $ is an invertible $ d\times d $ integer matrix, with no eigenvalues on the unit …
Path-dependent shrinking target problems in beta-dynamical systems
Y He - Nonlinearity, 2023 - new.iopscience.iop.org
Path-dependent shrinking target problems in beta-dynamical systems Page 1 Nonlinearity
PAPER Path-dependent shrinking target problems in betadynamical systems To cite this article …
PAPER Path-dependent shrinking target problems in betadynamical systems To cite this article …
A mass transference principle and sets with large intersections
T Persson - 2022 - projecteuclid.org
I prove a mass transference principle for general shapes, similar to a recent result by H.
Koivusalo and M. Rams. The proof relies on Vitali's covering lemma and manipulations with …
Koivusalo and M. Rams. The proof relies on Vitali's covering lemma and manipulations with …
[图书][B] Overlapping iterated function systems from the perspective of Metric Number Theory
S Baker - 2023 - ams.org
In this paper we develop a new approach for studying overlapping iterated function systems.
This approach is inspired by a famous result due to Khintchine from Diophantine …
This approach is inspired by a famous result due to Khintchine from Diophantine …
Inhomogeneous potentials, Hausdorff dimension and shrinking targets
T Persson - Annales Henri Lebesgue, 2019 - ahl.centre-mersenne.org
Generalising a construction of Falconer, we consider classes of G δ-subsets of ℝ d with the
property that sets belonging to the class have large Hausdorff dimension and the class is …
property that sets belonging to the class have large Hausdorff dimension and the class is …
Approximation properties of -expansions
S Baker - arXiv preprint arXiv:1409.2744, 2014 - arxiv.org
Let $\beta\in (1, 2) $ and $ x\in [0,\frac {1}{\beta-1}] $. We call a sequence $(\epsilon_ {i}) _
{i= 1}^\infty\in\{0, 1\}^{\mathbb {N}} $ a $\beta $-expansion for $ x $ if $ x=\sum_ {i …
{i= 1}^\infty\in\{0, 1\}^{\mathbb {N}} $ a $\beta $-expansion for $ x $ if $ x=\sum_ {i …
A unified approach to mass transference principle and large intersection property
Y He - arXiv preprint arXiv:2402.00513, 2024 - arxiv.org
The mass transference principle, discovered by Beresnevich and Velani [Ann Math (2),
2006], is a landmark result in Diophantine approximation that allows us to obtain the …
2006], is a landmark result in Diophantine approximation that allows us to obtain the …