Projects search

Multifractal analysis of the Birkhoff sums of the Saint-Petersburg potential

Authors:

Dong Han Kim, Lingmin Liao, Michał Rams, Baowei Wang

Academic press:

Fractals (year: 2018, volume: 26, pages: 1850026), Publisher: -

Status:

Published

DOI:

10.1142/S0218348X18500263 – link to the publication

Metrical results on the distribution of fractional parts of powers of real numbers

Authors:

Yann Bugeaud, Lingmin Liao, Michał Rams

Academic press:

Proceedings of the Edinburgh Math. Soc. (year: 2019, volume: 62, pages: 505-521), Publisher: -

Status:

Published

DOI:

10.1017/S0013091518000585 – link to the publication

The structure of the space of ergodic measures of transitive partially hyperbolic sets

Authors:

Lorenzo Diaz, Katrin Gelfert, Tianni Marcarini, Michał Rams

Academic press:

Monatshefte fur Math (year: 2019, volume: 190, pages: 441-479), Publisher: -

Status:

Published

DOI:

10.1007/s00605-019-01325-2 – link to the publication

Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew-products

Authors:

Lorenzo Diaz, Katrin Gelfert, Michał Rams

Academic press:

Proceedings of Steklov Institute of Mathematics (year: 2017, volume: 297, pages: 98-115), Publisher: -

Status:

Published

DOI:

10.1134/S008154381704006X – link to the publication

Dimension of generic self-affine sets with holes

Authors:

Henna Koivusalo, Michał Rams

Academic press:

Monatshefte fur Math. (year: 2019, volume: 188, pages: 527-546), Publisher: -

Status:

Published

DOI:

10.1007/s00605-018-1187-6 – link to the publication

Hausdorff dimension of the set in irrational rotations

Authors:

Dong Han Kim, Michał Rams, Baowei Wang

Academic press:

Mathematika (year: 2018, volume: 64, pages: 267-283), Publisher: London Mathematical Society

Status:

Published

DOI:

10.1112/S0025579317000523 – link to the publication

Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles

Authors:

Lorenzo Diaz, Katrin Gelfert, Michał Rams

Academic press:

Communications in Mathematical Physics (year: 2019, volume: 367, pages: 351-416), Publisher: -

Status:

Published

DOI:

10.1007/s00220-019-03412-9 – link to the publication

On the dimension of self-affine sets and measures with overlaps

Authors:

Balazs Barany, Michał Rams, Karoly Simon

Academic press:

Proceedings of the American Mathematical Society (year: 2016, volume: 144, pages: 4427-4440), Publisher: American Mathematical Society

Status:

Published

DOI:

10.1090/proc/13121 – link to the publication

The Hausdorff dimension is convex on the left side of 1/4

Authors:

Ludwik Jaksztas

Academic press:

Proceedings of the Edinburgh Mathematical Society (year: 2017, volume: 60, pages: 911-936), Publisher: Edinburgh Mathematical Society

Status:

Published

DOI:

10.1017/S0013091516000481 – link to the publication

Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook

Authors:

Piotr Gałązka, Janina Kotus

Academic press:

Complex Variables and Elliptic Equations (year: 2018, volume: 63, pages: 547-568), Publisher: -

Status:

Published

DOI:

10.1080/17476933.2017.1325477 – link to the publication

Nonhyperbolic step skew-products: ergodic approximation

Authors:

Lorenzo Diaz, Katrin Gelfert, Michał Rams

Academic press:

Annales de l'Institut Henri Poincare (C) (year: 2017, volume: 34, pages: 1561-1598), Publisher: Institute of Mathematical Statistics

Status:

Published

DOI:

10.1016/j.anihpc.2016.10.009 – link to the publication

Geometric pressure in real and complex 1-dimensional dynamics via trees of preimages and via spanning sets.

Authors:

Feliks Przytycki

Academic press:

Monatshefte fur Mathematik (year: 2018, volume: 185, pages: 133-158), Publisher: -

Status:

Published

DOI:

10.1007/s00605-017-1137-8 – link to the publication

Shrinking targets on Bedford-McMullen carpets

Authors:

Balazs Barany, Michał Rams

Academic press:

Proceedings of the London Math. Soc. (year: 2018, volume: 117, pages: 951-995), Publisher: -

Status:

Published

DOI:

10.1112/plms.12151 – link to the publication

Dimension maximizing measures for self-affine systems

Authors:

Balazs Barany, Michał Rams

Academic press:

Transactions of the American Mathematical Society (year: 2018, volume: 370, pages: 553-576), Publisher: American Mathematical Society

Status:

Published

DOI:

10.1090/tran/7103 – link to the publication

On the dimension of triangular self-affine sets

Authors:

Balazs Barany, Michał Rams, Karoly Simon

Academic press:

Ergodic Theory and Dynamical Systems (year: 2019, volume: 39, pages: 1751-1783), Publisher: -

Status:

Published

DOI:

10.1017/etds.2017.110 – link to the publication

Simply connected Baker domains of some meromorphic functions

Authors:

Janina Kotus, Marco Montes de Oca Balderas

Academic press:

Chaos, Solitons & Fractals (year: 2018, volume: 115, pages: 108-126), Publisher: -

Status:

Published

DOI:

10.1016/j.chaos.2018.08.009 – link to the publication

Hausdorff dimension in inhomogeneous Diophantine approximation

Authors:

Yann Bugeaud, Dong Han Kim, Seonhee Lim, Michał Rams

Status:

Accepted for publication

Mass transference principle: from balls to arbitrary shapes

Authors:

Henna Koivusalo, Michał Rams

Status:

Accepted for publication

Birkhoff and Lyapunov spectra on planar self-affine sets

Authors:

Balazs Barany, Thomas Jordan, Antti Kaenmaki, Michał Rams

Status:

Accepted for publication

Birkhoff spectrum for piecewise monotone interval maps

Authors:

Thomas Jordan, Michał Rams

Status:

Accepted for publication

On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c

Authors:

Ludwik Jaksztas, Michel Zinsmeister

Status:

Accepted for publication

Thermodynamic formalism methods in one-dimensional real and complex dynamics

Authors:

Feliks Przytycki

Book:

Proceedings of the International Congress of Mathematicians in Rio de Janeiro 2018. Invited article to the invited 45 min. talk in the Section of Dynamical Systems and Ordinary Differential Equations. (year: 2018, volume: 2, pages: 2081-2106), Publisher: ICM

Status:

Published