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Balázs Bárány
Balázs Bárány
Associate Professor, Department of Stochastics, Budapest University of Technology and Economics
Verified email at math.bme.hu - Homepage
Title
Cited by
Cited by
Year
Hausdorff dimension of planar self-affine sets and measures
B Bárány, M Hochman, A Rapaport
Inventiones mathematicae 216, 601-659, 2019
1362019
On the dimension of the graph of the classical Weierstrass function
K Barański, B Bárány, J Romanowska
Advances in Math 265, 32-59, 2014
782014
Ledrappier–Young formula and exact dimensionality of self-affine measures
B Bárány, A Käenmäki
Advances in Mathematics 318, 88-129, 2017
662017
On the Ledrappier-Young formula for self-affine measures
B Bárány
Math. Proc. Camb. Phil. Soc. 159 (3), 405-432, 2015
482015
Stationary measures for projective transformations: the Blackwell and Furstenberg measures
B Bárány, M Pollicott, K Simon
Journal of Statistical Physics 148, 393-421, 2012
442012
Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles
B Bárány, A Käenmäki, ID Morris
Israel Journal of Mathematics 239, 173-214, 2020
332020
Self-similar and self-affine sets and measures
B Bárány, K Simon, B Solomyak
American Mathematical Society, 2023
292023
Slicing the Sierpi\'nski gasket
B Bárány, A Ferguson, K Simon
Nonlinearity 25 (6), 1753-1770, 2012
242012
Dimension maximizing measures for self-affine systems
B Bárány, M Rams
arXiv preprint arXiv:1507.02829, 2015
232015
On the Hausdorff measure of shrinking target sets on self‐conformal sets
D Allen, B Bárány
Mathematika 67 (4), 807-839, 2021
222021
Dimension of slices of Sierpinski-like carpets
B Bárány, M Rams
Journal of Fractal Geometry 1 (3), 273-294, 2014
222014
Super-exponential condensation without exact overlaps
B Bárány, A Käenmäki
Advances in Mathematics 379, 107549, 2021
192021
Dimension of self‐affine sets for fixed translation vectors
B Bárány, A Käenmäki, H Koivusalo
Journal of the London Mathematical Society 98 (1), 223-252, 2018
192018
Shrinking targets on Bedford-McMullen carpets
B Bárány, M Rams
arXiv preprint arXiv:1703.08564, 2017
192017
On the Hausdorff dimension of a family of self-similar sets with complicated overlaps
B Bárány
Fundamenta Mathematicae 206 (1), 49-59, 2009
162009
On the dimension of triangular self-affine sets
B Bárány, M Rams, K Simon
Ergodic Theory and Dynamical Systems 39 (7), 1751-1783, 2019
152019
On the dimension of self-affine sets and measures with overlaps
B Bárány, K Simon
Proceedings of the American Mathematical Society 144 (10), 4427-4440, 2016
152016
Pointwise regularity of parameterized affine zipper fractal curves
B Bárány, G Kiss, I Kolossváry
Nonlinearity 31 (5), 1705, 2018
142018
On iterated function systems with place-dependent probabilities
B Bárány
Proc. Amer. Math. Soc. 143, 419-432, 2015
132015
Assouad dimension of planar self-affine sets
B Bárány, A Käenmäki, E Rossi
Transactions of the American Mathematical Society 374 (2), 1297-1326, 2021
122021
Typical absolute continuity for classes of dynamically defined measures
B Bárány, K Simon, B Solomyak, A Śpiewak
Advances in Mathematics 399, 108258, 2022
112022
On some non-linear projections of self-similar sets in
B Bárány
arXiv preprint arXiv:1503.00891, 2015
112015
H. Yu. Finer geometry of planar self-affine sets
B Bárány, A Käenmäki
Preprint, available at, 0
11
Dimension of the generalized 4-corner set and its projections
B Bárány
Ergodic Theory and Dynamical Systems 32 (4), 1190-1215, 2012
102012
Birkhoff and Lyapunov spectra on planar self-affine sets
B Bárány, T Jordan, A Käenmäki, M Rams
International Mathematics Research Notices 2021 (10), 7966-8005, 2021
92021
On the convergence rate of the chaos game
B Bárány, N Jurga, I Kolossváry
International Mathematics Research Notices 2023 (5), 4456-4500, 2023
82023
Dynamically defined subsets of generic self-affine sets
B Bárány, S Troscheit
Nonlinearity 35 (10), 4986, 2022
82022
Subadditive pressure for IFS with triangular maps
B Bárány
Bulletin Polish Acad. Sci. Math. 57, 263-278, 2009
82009
Iterated function systems with non-distinct fixed points
B Bárány
Journal of mathematical analysis and applications 383 (1), 244-258, 2011
72011
Finer geometry of planar self-affine sets
B Bárány, A Käenmäki, H Yu
arXiv preprint arXiv:2107.00983, 2021
62021
On the multifractal spectrum of weighted Birkhoff averages
B Bárány, M Rams, R Shi
arXiv preprint arXiv:2006.06774, 2020
62020
Slices of the Takagi function
R Anttila, B Bárány, A Käenmäki
Ergodic Theory and Dynamical Systems 44 (9), 2361-2398, 2024
52024
Scaling limits of self-conformal measures
B Bárány, A Käenmäki, A Pyörälä, M Wu
arXiv preprint arXiv:2308.11399, 2023
52023
Dimension of the repeller for a piecewise expanding affine map
B Bárány, M Rams, K Simon
arXiv preprint arXiv:1803.03788, 2018
52018
Dimension theory of some non-markovian repellers part ii: Dynamically defined function graphs
B Bárány, M Rams, K Simon
Topological Dynamics and Topological Data Analysis: IWCTA 2018, Kochi, India …, 2021
42021
Dimension theory of some non-markovian repellers part i: A gentle introduction
B Bárány, M Rams, K Simon
Topological Dynamics and Topological Data Analysis: IWCTA 2018, Kochi, India …, 2021
42021
Recurrence rates for shifts of finite type
D Allen, S Baker, B Bárány
Advances in Mathematics 460, 110039, 2025
32025
Measures of morphological complexity of microalgae and their linkage with organism size
V Lerf, G Borics, I Tóth, T Kisantal, Á Lukács, B Tóthmérész, Z Buczolich, ...
Hydrobiologia 851 (4), 751-764, 2024
32024
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
B Bárány, K Simon, I Kolossváry, M Rams
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (6 …, 2021
32021
Spectrum of weighted Birkhoff average
B Bárány, M Rams, R Shi
arXiv preprint arXiv:2109.03898, 2021
32021
Instability of the steady state solution in cell cycle population structure models with feedback
B Bárány, G Moses, T Young
Journal of Mathematical Biology 78, 1365-1387, 2019
32019
On the dimension of planar self-affine sets with non-invertible maps
B Bárány, V Körtvélyesi
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-16, 2023
22023
Covering number on inhomogeneous graph-directed self-similar sets
B Bárány, A Käenmäki, P Nissinen
arXiv preprint arXiv:2307.16263, 2023
22023
On the absolute continuity of the Blackwell measure
B Bárány, I Kolossváry
22013
The absolute continuity of the invariant measure of random iterated function systems with overlaps
B Barany, T Persson
Fundamenta Mathematicae 210 (1), 47-62, 2010
22010
Typical dimension and absolute continuity for classes of dynamically defined measures, Part II: exposition and extensions
B Bárány, K Simon, B Solomyak, A Śpiewak
arXiv preprint arXiv:2405.06466, 2024
12024
Transient dynamics of block coordinate descent in a valley
M Mohlenkamp, TR Young, B Bárány
Int. J. Numer. Anal. Model. 17 (4), 557-591, 2020
12020
Dimension maximizing measures and local dimension spectrum for self-affine systems
B Bárány, M Rams
arXiv preprint arXiv:1507.02829, 2015
12015
On the dimension theory of Okamoto's function
B Bárány, RD Prokaj
arXiv preprint arXiv:2501.10584, 2025
2025
Self-similar and Self-affine Sets and Measures
Falconer, Kenneth j., B Barany, K Simon, B Solomyak
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY 62 (1), 167-174, 2025
2025
Smoothness of random self-similar measures on the line and the existence of interior points
B Bárány, M Rams
arXiv preprint arXiv:2412.06008, 2024
2024
Universal projection theorems with applications to multifractal analysis and the dimension of every ergodic measure on self-conformal sets simultaneously
B Bárány, K Simon, A Śpiewak
arXiv preprint arXiv:2412.03529, 2024
2024
On an abrasion-motivated fractal model
B Bárány, G Domokos, Á Szesztay
Nonlinearity 37 (12), 125024, 2024
2024
OVERLAPPING SELF-AFFINE CARPETS WITH THE WEAK SEPARATION CONDITION TDK dissertation
L David, B Bárány
2024
Dimension of planar non-conformal attractors with triangular derivative matrices
B Bárány, A Käenmäki
Communications in Mathematical Physics 405 (11), 256, 2024
2024
The Pólya Web
Á Urbán, B Bárány, B Tóth
2024
Level sets of prevalent H\" older functions
R Anttila, B Bárány, A Käenmäki
arXiv preprint arXiv:2402.08520, 2024
2024
WEAK SEPARATION PROPERTY FOR SELF-SIMILAR SETS bachelor thesis
L Dávid, B Bárány
2023
Lagrange-like spectrum of perfect additive complements
B Bárány, JH Fang, C Sándor
arXiv preprint arXiv:2301.04365, 2023
2023
Corrigendum to “On iterated function systems with place-dependent probabilities”
B Bárány
Proceedings of the American Mathematical Society 150 (12), 5483-5483, 2022
2022
DIMENSION THEORY OF SELF-AFFINE SYSTEMS WITH SINGULAR MATRICES master thesis
V Körtvélyesi, B Bárány
2022
Keywords: Iterated function systems Transversality Absolute continuity Place-dependent measures Sobolev dimension
B Barany, K Simon, B Solomyak, A Spiewak
ADVANCES IN MATHEMATICS 399, 2022
2022
DIMENSION OF SELF-AFFINE SETS WITH SINGULAR MATRICES tdk dissertation
V Körtvélyesi, B Bárány
2021
Dynamically Defined Function Graphs
B Bárány, M Rams, K Simon
Topological Dynamics and Topological Data Analysis: IWCTA 2018, Kochi, India …, 2021
2021
On the dimension of self‐similar measures with complicated overlaps
B Bárány, E Szvák
Mathematische Nachrichten 294 (4), 657-671, 2021
2021
Tanácskozás a párbeszéd jegyében
B Bárány
TÖRTÉNELEMTANÍTÁS: ONLINE TÖRTÉNELEMDIDAKTIKAI FOLYÓIRAT 10 (1), 2019
2019
Self-similar iterated function systems with non-distinct xed points
E Szvák, B Bárány
2018
On the dimension theory of iterated function systems with fixed point correspondence
B Bárány
1st Conference of PhD Students in Mathematics, 12, 2010
2010
Description of the free motion with momentums in Godel's universe
B Bárány, A Andai
arXiv preprint arXiv:0807.4107, 2008
2008
Dimension Theory of Non-conformal Attractors and Overlapping Self-similar Sets
B Bárány
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