Publications / Publikációk:


To appear
On an abrasion motivated fractal model, to appear in Nonlinearity, 2024. (with Gábor Domokos and Ágoston Szesztay)
Level sets of prevalent Hölder functions, to appear in Proc. Amer. Math. Soc, 2024. (with Roope Anttila and Antti Käenmäki)
On the dimension of planar self-affine sets with non-invertible maps, to appear in Proc. Roy. Soc. Edinburgh Sect. A, 2023. (with Viktor Körtvélyesi)

Published
Dimension of planar non-conformal attractors with triangular derivative matrices, Commun. Math. Phys. 405 (2024), article no. 256. (with Antti Käenmäki)
Slices of the Takagi function, Erg. Th. & Dyn. Sys. 44 no. 9 (2024), 2361-2398. (with Roope Anttila and Antti Käenmäki)
Lagrange-like spectrum of perfect additive components, Acta Arithmetica 212 (2024), 269-287. (with Jin-Hui Fang and Csaba Sándor)
Measures of morphological complexity of microalgae and their linkage with organism size, Hydrobiologia 851 (2024), 751-764. (with Verona Lerf, Gábor Borics, István Tóth, Tibor Kisantal, Áron Lukács, Béla Tóthmérész, Zoltán Buczolich and Zsolt Végvári)
On the convergence rate of the chaos game, Int. Math. Res. Not. 2023 no. 5 (2023), 4456-4500. (with Natalia Jurga and István Kolossváry)
Spectrum of weighted Birkhoff average, Studia Math. 269 no. 1 (2023), 65-82. (with Michał Rams and Ruxi Shi)
Dynamically defined subsets of generic self-affine sets, Nonlinearity 35 no. 104 (2022), 4986-5013. (with Sascha Troscheit)
On the multifractal spectrum of weighted Birkhoff averages, Discrete Contin. Dyn. Syst. 42 no. 5 (2022), 2461-2497. (with Michał Rams and Ruxi Shi)
Typical absolute continuity for classes of dynamically defined measures, Adv. in Math. 399 (2022), 108258. (with Károly Simon, Boris Solomyak and Adam Śpiewak)
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line, Proc. Roy. Soc. Edinburgh Sect. A 151 no. 6 (2021), 2051-2081. (with István Kolossváry, Michał Rams and Károly Simon)
Dimension theory of some non-Markovian repellers Part I: A gentle introduction, In: Topological Dynamics and Topological Data Analysis IWCTA 2018, Springer Proceedings in Mathematics & Statistics 350 (2021), 15-48. (with Michał Rams and Károly Simon)
Dimension theory of some non-Markovian repellers Part II: Dynamically defined function graphs, In: Topological Dynamics and Topological Data Analysis IWCTA 2018, Springer Proceedings in Mathematics & Statistics 350 (2021), 49-66. (with Michał Rams and Károly Simon)
On the Hausdorff measure of shrinking target sets on self-conformal sets, Mathematika 67 no. 4 (2021), 807-839. (with Demi Allen)
Superexponential condensation without exact overlaps, Adv. in Math. 379 (2021), 107549. (with Antti Käenmäki)
Birkhoff and Lyapunov spectra on planar self-affine sets, Int. Math. Res. Not. 2021 no. 10 (2021), 7966-8005. (with Thomas Jordan, Antti Käenmäki and Michał Rams)
On the dimension of self-similar measures with complicated overlaps, Math. Nachr. 294 (2021), 657-671. (with Edina Szvák)
Assouad dimension of planar self-affine sets, Trans. Amer. Math. Soc. 374 no. 2 (2021), 1297-1326. (with Antti Käenmäki and Eino Rossi)
Domination, almost additivity, and thermodynamical formalism for planar matrix cocycles, Israel J. Math. 239 (2020), 173-214. (with Antti Käenmäki and Ian D. Morris)
Transient Dynamics of Block Coordinate Descent in a Valley, Int. J. Numer. Anal. Model. 17 no. 4 (2020), 557-591. (with Martin Mohlenkamp and Todd Young)
Dimension of the repeller for a piecewise expanding affine map, Ann. Acad. Sci. Fenn. Math. 45 (2020), 1135-1169. (with Michał Rams and Károly Simon)
On the dimension of triangular self-affine sets, Erg. Th. & Dyn. Sys. 39 no. 7 (2019), 1751-1783. (with Michał Rams and Károly Simon)
Hausdorff dimension of planar self-affine sets and measures, Invent. Math. 216 no. 3 (2019), 601-659. (with Mike Hochman and Ariel Rapaport)
Instability of the steady state solution in cell cycle population structure models with feedback, J. Math. Biol. 78 (2019), no. 5, 1365-1387. (with Gregory Moses and Todd Young)
Shrinking targets on Bedford-McMullen carpets, Proc. London Math. Soc. 117 (2018), no. 5, 951-995. (with Michał Rams)
Dimension of self-affine sets for fixed translation vectors, J. London Math. Soc. 98 no. 1 (2018), 223-252. (with Antti Käenmäki and Henna Koivusalo)
Pointwise regularity of parametrized affine zipper fractal curves, Nonlinearity 31 no. 5 (2018), 1705-1733. (with Gergő Kiss and István Kolossváry)
Dimension maximizing measures for self-affine systems, Trans. Amer. Math. Soc. 370 (2018), 553-576. (with Michał Rams)
Ledrappier-Young formula and exact dimensionality of self-affine measures, Adv. in Math. 318 (2017), 88-129. (with Antti Käenmäki)
On some non-linear projections of self-similar sets in ℝ³, Fund. Math. 237 (2017), 83-100.
On the dimension of self-affine sets and measures with overlaps, Proc. Amer. Math. Soc. 144 (2016), 4427-4440. (with Michał Rams and Károly Simon)
On the Ledrappier-Young formula for self-affine measures, Math. Proc. Camb. Phil. Soc. 159 no. 3 (2015), 405-432.
On the absolute continuity of the Blackwell measure, J. Stat. Phys. 159 no. 1 (2015), 158-171. (with István Kolossváry)
On the dimension of the graph of the classical Weierstrass function, Adv. in Math. 265 (2014), 32-59. (with Krzysztof Barański and Julia Romanowska)
Dimension of slices of Sierpiński-like carpets, J. Fractal Geom. 1 no. 3 (2014), 273-294. (with Michał Rams)
Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures, J. Stat. Phys. 148 no. 3 (2012), 393-421. (with Mark Pollicott and Károly Simon)
Slicing the Sierpiński gasket, Nonlinearity 25 no. 6 (2012), 1753-1770. (with Andrew Ferguson and Károly Simon)
Dimension of the generalized 4-corner set and its projections, Erg. Th. & Dyn. Sys. 32 (2012), 1190-1215.
Iterated Function Systems with Non-Distinct Fixed Points, J. Math. Anal. Appl. 383 no. 1 (2011), 244-258.
The Absolute Continuity of the Invariant Measure of Random Iterated Function Systems with Overlaps, Fund. Math. 210 no. 1 (2010), 47-62. arXiv:0903.2166 (with Tomas Persson)
On the Hausdorff Dimension of a Family of Self-Similar Sets with Complicated Overlaps, Fundamenta Math. 206 (2009), 49-59.

Sub-Additive Pressure for IFS with Triangular Maps, Bulletin of the Pol. Ac. of Sci. Math. 57 no. 3 (2009), 263-278.

Errata
Corrigendum to the paper On Iterated Function Systems with place-dependent probabilities, Proc. Amer. Math. Soc. 143 no. 1 (2015), 419-432.

Book
B. B., Károly Simon, Boris Solomyak: Self-similar and Self-affine Sets and Measures, Math. Surveys Monogr. 276, American Mathematical Society, Providence, RI, 2023.

PhD Thesis
Dimension Theory of Non-conformal Attractors and Overlapping Self-similar Sets, PhD Thesis, Budapest University of Technology, 2012. (supervisor Károly Simon)

Master Thesis
Dimension Theory of Non-Conformal Attractors, Master of Science Thesis, Budapest University of Technology, 2008. (supervisor Károly Simon)

Other
A Gödel univerzum geodetikusainak elemzése, OTDK dolgozat, 2006. (in hungarian) (supervisor Attila Andai)

Published
Dimension of planar non-conformal attractors with triangular derivative matrices, Commun. Math. Phys. 405 (2024), article no. 256. (with Antti Käenmäki)
Slices of the Takagi function, Erg. Th. & Dyn. Sys. 44 no. 9 (2024), 2361-2398. (with Roope Anttila and Antti Käenmäki)
Lagrange-like spectrum of perfect additive components, Acta Arithmetica 212 (2024), 269-287. (with Jin-Hui Fang and Csaba Sándor)
Measures of morphological complexity of microalgae and their linkage with organism size, Hydrobiologia 851 (2024), 751-764. (with Verona Lerf, Gábor Borics, István Tóth, Tibor Kisantal, Áron Lukács, Béla Tóthmérész, Zoltán Buczolich and Zsolt Végvári)
On the convergence rate of the chaos game, Int. Math. Res. Not. 2023 no. 5 (2023), 4456-4500. (with Natalia Jurga and István Kolossváry)
Spectrum of weighted Birkhoff average, Studia Math. 269 no. 1 (2023), 65-82. (with Michał Rams and Ruxi Shi)
Dynamically defined subsets of generic self-affine sets, Nonlinearity 35 no. 104 (2022), 4986-5013. (with Sascha Troscheit)
On the multifractal spectrum of weighted Birkhoff averages, Discrete Contin. Dyn. Syst. 42 no. 5 (2022), 2461-2497. (with Michał Rams and Ruxi Shi)
Typical absolute continuity for classes of dynamically defined measures, Adv. in Math. 399 (2022), 108258. (with Károly Simon, Boris Solomyak and Adam Śpiewak)
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line, Proc. Roy. Soc. Edinburgh Sect. A 151 no. 6 (2021), 2051-2081. (with István Kolossváry, Michał Rams and Károly Simon)
Dimension theory of some non-Markovian repellers Part I: A gentle introduction, In: Topological Dynamics and Topological Data Analysis IWCTA 2018, Springer Proceedings in Mathematics & Statistics 350 (2021), 15-48. (with Michał Rams and Károly Simon)
Dimension theory of some non-Markovian repellers Part II: Dynamically defined function graphs, In: Topological Dynamics and Topological Data Analysis IWCTA 2018, Springer Proceedings in Mathematics & Statistics 350 (2021), 49-66. (with Michał Rams and Károly Simon)
On the Hausdorff measure of shrinking target sets on self-conformal sets, Mathematika 67 no. 4 (2021), 807-839. (with Demi Allen)
Superexponential condensation without exact overlaps, Adv. in Math. 379 (2021), 107549. (with Antti Käenmäki)
Birkhoff and Lyapunov spectra on planar self-affine sets, Int. Math. Res. Not. 2021 no. 10 (2021), 7966-8005. (with Thomas Jordan, Antti Käenmäki and Michał Rams)
On the dimension of self-similar measures with complicated overlaps, Math. Nachr. 294 (2021), 657-671. (with Edina Szvák)
Assouad dimension of planar self-affine sets, Trans. Amer. Math. Soc. 374 no. 2 (2021), 1297-1326. (with Antti Käenmäki and Eino Rossi)
Domination, almost additivity, and thermodynamical formalism for planar matrix cocycles, Israel J. Math. 239 (2020), 173-214. (with Antti Käenmäki and Ian D. Morris)
Transient Dynamics of Block Coordinate Descent in a Valley, Int. J. Numer. Anal. Model. 17 no. 4 (2020), 557-591. (with Martin Mohlenkamp and Todd Young)
Dimension of the repeller for a piecewise expanding affine map, Ann. Acad. Sci. Fenn. Math. 45 (2020), 1135-1169. (with Michał Rams and Károly Simon)
On the dimension of triangular self-affine sets, Erg. Th. & Dyn. Sys. 39 no. 7 (2019), 1751-1783. (with Michał Rams and Károly Simon)
Hausdorff dimension of planar self-affine sets and measures, Invent. Math. 216 no. 3 (2019), 601-659. (with Mike Hochman and Ariel Rapaport)
Instability of the steady state solution in cell cycle population structure models with feedback, J. Math. Biol. 78 (2019), no. 5, 1365-1387. (with Gregory Moses and Todd Young)
Shrinking targets on Bedford-McMullen carpets, Proc. London Math. Soc. 117 (2018), no. 5, 951-995. (with Michał Rams)
Dimension of self-affine sets for fixed translation vectors, J. London Math. Soc. 98 no. 1 (2018), 223-252. (with Antti Käenmäki and Henna Koivusalo)
Pointwise regularity of parametrized affine zipper fractal curves, Nonlinearity 31 no. 5 (2018), 1705-1733. (with Gergő Kiss and István Kolossváry)
Dimension maximizing measures for self-affine systems, Trans. Amer. Math. Soc. 370 (2018), 553-576. (with Michał Rams)
Ledrappier-Young formula and exact dimensionality of self-affine measures, Adv. in Math. 318 (2017), 88-129. (with Antti Käenmäki)
On some non-linear projections of self-similar sets in ℝ³, Fund. Math. 237 (2017), 83-100.
On the dimension of self-affine sets and measures with overlaps, Proc. Amer. Math. Soc. 144 (2016), 4427-4440. (with Michał Rams and Károly Simon)
On the Ledrappier-Young formula for self-affine measures, Math. Proc. Camb. Phil. Soc. 159 no. 3 (2015), 405-432.
On the absolute continuity of the Blackwell measure, J. Stat. Phys. 159 no. 1 (2015), 158-171. (with István Kolossváry)
On the dimension of the graph of the classical Weierstrass function, Adv. in Math. 265 (2014), 32-59. (with Krzysztof Barański and Julia Romanowska)
Dimension of slices of Sierpiński-like carpets, J. Fractal Geom. 1 no. 3 (2014), 273-294. (with Michał Rams)
Stationary Measures for Projective Transformations: The Blackwell and Furstenberg Measures, J. Stat. Phys. 148 no. 3 (2012), 393-421. (with Mark Pollicott and Károly Simon)
Slicing the Sierpiński gasket, Nonlinearity 25 no. 6 (2012), 1753-1770. (with Andrew Ferguson and Károly Simon)
Dimension of the generalized 4-corner set and its projections, Erg. Th. & Dyn. Sys. 32 (2012), 1190-1215.
Iterated Function Systems with Non-Distinct Fixed Points, J. Math. Anal. Appl. 383 no. 1 (2011), 244-258.
The Absolute Continuity of the Invariant Measure of Random Iterated Function Systems with Overlaps, Fund. Math. 210 no. 1 (2010), 47-62. arXiv:0903.2166 (with Tomas Persson)
On the Hausdorff Dimension of a Family of Self-Similar Sets with Complicated Overlaps, Fundamenta Math. 206 (2009), 49-59.

Sub-Additive Pressure for IFS with Triangular Maps, Bulletin of the Pol. Ac. of Sci. Math. 57 no. 3 (2009), 263-278.

Errata
Corrigendum to the paper On Iterated Function Systems with place-dependent probabilities, Proc. Amer. Math. Soc. 143 no. 1 (2015), 419-432.

Book
B. B., Károly Simon, Boris Solomyak: Self-similar and Self-affine Sets and Measures, Math. Surveys Monogr. 276, American Mathematical Society, Providence, RI, 2023.

PhD Thesis
Dimension Theory of Non-conformal Attractors and Overlapping Self-similar Sets, PhD Thesis, Budapest University of Technology, 2012. (supervisor Károly Simon)

Master Thesis
Dimension Theory of Non-Conformal Attractors, Master of Science Thesis, Budapest University of Technology, 2008. (supervisor Károly Simon)

Other
A Gödel univerzum geodetikusainak elemzése, OTDK dolgozat, 2006. (in hungarian) (supervisor Attila Andai)

Book
B. B., Károly Simon, Boris Solomyak: Self-similar and Self-affine Sets and Measures, Math. Surveys Monogr. 276, American Mathematical Society, Providence, RI, 2023.

PhD Thesis
Dimension Theory of Non-conformal Attractors and Overlapping Self-similar Sets, PhD Thesis, Budapest University of Technology, 2012. (supervisor Károly Simon)

Master Thesis
Dimension Theory of Non-Conformal Attractors, Master of Science Thesis, Budapest University of Technology, 2008. (supervisor Károly Simon)

Other
A Gödel univerzum geodetikusainak elemzése, OTDK dolgozat, 2006. (in hungarian) (supervisor Attila Andai)

PhD Thesis
Dimension Theory of Non-conformal Attractors and Overlapping Self-similar Sets, PhD Thesis, Budapest University of Technology, 2012. (supervisor Károly Simon)

Master Thesis
Dimension Theory of Non-Conformal Attractors, Master of Science Thesis, Budapest University of Technology, 2008. (supervisor Károly Simon)

Other
A Gödel univerzum geodetikusainak elemzése, OTDK dolgozat, 2006. (in hungarian) (supervisor Attila Andai)

Master Thesis
Dimension Theory of Non-Conformal Attractors, Master of Science Thesis, Budapest University of Technology, 2008. (supervisor Károly Simon)

Other
A Gödel univerzum geodetikusainak elemzése, OTDK dolgozat, 2006. (in hungarian) (supervisor Attila Andai)

Other
A Gödel univerzum geodetikusainak elemzése, OTDK dolgozat, 2006. (in hungarian) (supervisor Attila Andai)