AK
Antti Käenmäki
math.CAmath.DSmath.MGmath.HOmath.PR
On Valency
published · living versionsW_6myua2ek·v1 · currentpublished
Preprints & journals
55 papers in the corpus · 2007–2026Exponential separation of self-conformal systems2609.23743v1 · Antti Kaenmaki2026 · 0 citationsarXiv
Projections of self-affine sets onto lines2607.14740v1 · Bal'azs B'ar'any, Antti Kaenmaki, Istv'an Kolossv'ary2026 · 0 citationsarXiv
On the Marstrand projection theorem for the Assouad spectrum2606.28830v1 · Kenneth J. Falconer, Jonathan M. Fraser, Antti Kaenmaki2026 · 0 citationsarXiv
Level sets of prevalent Weierstrass functions2507.15591v3 · Zolt'an Buczolich, Antti Kaenmaki, Bal'azs Maga2025 · 0 citationsarXiv
Self-affine sponges with random contractions2505.04383v2 · Bal'azs B'ar'any, Antti Kaenmaki, MichałRams2025 · 0 citationsarXiv
Tangents and slices of self-affine carpets2410.19404v2 · Antti Kaenmaki, Alex Rutar2024 · 1 citationarXiv
Regularity of non-autonomous self-similar sets2410.17944v3 · Antti Kaenmaki, Alex Rutar2024 · 1 citationMath. Proc. Camb. Philos. Soc. 179 (2025), 623-648
Thermodynamic formalism of countably generated self-affine sets2405.00520v2 · Antti Kaenmaki, Ian D. Morris2024 · 0 citationsarXiv
Level sets of prevalent Hölder functions2402.08520v2 · Roope Anttila, Bal'azs B'ar'any, Antti Kaenmaki2024 · 1 citationarXiv
Local dimension spectrum for dominated planar self-affine sets2401.13626v2 · Alex Batsis, Antti Kaenmaki, Tom Kempton2024 · 0 citationsarXiv
Tangents of invariant sets2309.11971v2 · Antti Kaenmaki, Alex Rutar2023 · 0 citationsarXiv
Scaling limits of self-conformal measures2308.11399v1 · Bal'azs B'ar'any, Antti Kaenmaki, Aleksi Pyorala et al.2023 · 0 citationsarXiv
Dimension of planar non-conformal attractors with triangular derivative matrices2308.09590v2 · Bal'azs B'ar'any, Antti Kaenmaki2023 · 1 citationarXiv
Covering number on inhomogeneous graph-directed self-similar sets2307.16263v3 · Bal'azs B'ar'any, Antti Kaenmaki, Petteri Nissinen2023 · 1 citationarXiv
Slices of the Takagi function2305.08181v2 · Roope Anttila, Bal'azs B'ar'any, Antti Kaenmaki2023 · 6 citationsErgod. Th. Dynam. Sys. 44 (2024) 2361-2398
Non-invertible planar self-affine sets2205.07351v2 · Antti Kaenmaki, Petteri Nissinen2022 · 2 citationsMath. Proc. Camb. Phil. Soc. 177 (2024) 49-65
Finer geometry of planar self-affine sets2107.00983v2 · Bal'azs B'ar'any, Antti Kaenmaki, Han Yu2021 · 3 citationsarXiv
Minkowski dimension for measures2001.07055v4 · Kenneth J. Falconer, Jonathan M. Fraser, Antti Kaenmaki2020 · 21 citationsProceedings of the American Mathematical Society, 151, (2023), 779-794
Super-exponential condensation without exact overlaps1910.04623v4 · Bal'azs B'ar'any, Antti Kaenmaki2019 · 9 citationsarXiv
Assouad dimension of planar self-affine sets1906.11007v2 · Bal'azs B'ar'any, Antti Kaenmaki, Eino Rossi2019 · 7 citationsarXiv
Absolute continuity in families of parametrised non-homogeneous self-similar measures1812.05006v2 · Antti Kaenmaki, Tuomas Orponen2018 · 7 citationsarXiv
Attainable values for the Assouad dimension of projections1811.00951v3 · Jonathan M. Fraser, Antti Kaenmaki2018 · 9 citationsProc. Amer. Math. Soc., 148, (2020), 3393-3405
On the Hausdorff dimension of microsets1808.00707v3 · Jonathan M. Fraser, Douglas C. Howroyd, Antti Kaenmaki et al.2018 · 6 citationsProc. Amer. Math. Soc., 147 (2019), no. 11, 4921-4936
Birkhoff and Lyapunov spectra on planar self-affine sets1805.08004v3 · Bal'azs B'ar'any, Thomas Jordan, Antti Kaenmaki et al.2018 · 1 citationarXiv
Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles1802.01916v3 · Bal'azs B'ar'any, Antti Kaenmaki, Ian D. Morris2018 · 25 citationsarXiv
Dynamics of the scenery flow and conical density theorems1710.02371v1 · Antti Kaenmaki2017 · 1 citationBanach Center Publ., 115 (2018), 99-143
A Marstrand-type restricted projection theorem in 1708.04859v2 · Antti Kaenmaki, Tuomas Orponen, Laura Venieri2017 · 10 citationsarXiv
On the geometric structure of the limit set of conformal iterated function systems1701.08571v1 · Antti Kaenmaki2017 · 11 citationsPubl. Mat. 47 (2003), no. 1, 133-141
On natural invariant measures on generalised iterated function systems1701.08575v1 · Antti Kaenmaki2017 · 61 citationsAnn. Acad. Sci. Fenn. Math. 29 (2004), no. 2, 419-458
Nonsymmetric conical upper density and -porosity1701.08577v1 · Antti Kaenmaki, Ville Suomala2017 · 24 citationsTrans. Amer. Math. Soc., 363 (2011), no. 3, 1183-1195
Measures of full dimension on self-affine sets1701.08578v1 · Antti Kaenmaki2017 · 2 citationsActa Univ. Carolin. Math. Phys. 45 (2004), no. 2, 45-53
Asymptotically sharp dimension estimates for -porous sets1701.08584v1 · Esa Jarvenpaa, Maarit Jarvenpaa, Antti Kaenmaki et al.2017 · 14 citationsMath. Scand. 97 (2005), no. 2, 309-318
Conical upper density theorems and porosity of measures1701.08587v1 · Antti Kaenmaki, Ville Suomala2017 · 23 citationsAdv. Math. 217 (2008), no. 3, 952-966
Separation conditions on controlled Moran constructions1701.08589v1 · Antti Kaenmaki, Markku Vilppolainen2017 · 24 citationsFund. Math. 200 (2008), no. 1, 69-100
Packing dimension and Ahlfors regularity of porous sets in metric spaces1701.08593v1 · Esa Jarvenpaa, Maarit Jarvenpaa, Antti Kaenmaki et al.2017 · 43 citationsMath. Z. 266 (2010), no. 1, 83-105
Porosity and regularity in metric measure spaces1701.08596v1 · Antti Kaenmaki2017 · 1 citationReal Anal. Exchange 2007, 31st Summer Symposium Conference, 245-250
Upper Conical density results for general measures on 1701.08602v1 · Marianna Csornyei, Antti Kaenmaki, Tapio Rajala et al.2017 · 17 citationsProc. Edinburgh Math. Soc. 53 (2010), no. 2, 311-331
On upper conical density results1701.08609v2 · Antti Kaenmaki2017 · 8 citationsRecent Developments in Fractals and Related Fields, Applied and Numerical Harmonic Analysis, 2010, 45-54
Dimension and measures on sub-self-affine sets1701.08611v1 · Antti Kaenmaki, Markku Vilppolainen2017 · 43 citationsMonatsh. Math., 161 (2010), no. 3, 271-293
Scenery flow, conical densities, and rectifiability1701.08615v1 · Antti Kaenmaki2017 · 0 citationsFractal Geometry and Stochastics V, Springer International Publishing, 2015, 27-38
On self-affine sets1702.00277v1 · Antti Kaenmaki2017 · 0 citationsArkhimedes, (2008), no. 2, 17-20
Genericity of dimension drop on self-affine sets1611.00496v2 · Antti Kaenmaki, Bing Li2016 · 7 citationsStatist. Probab. Lett., 126 (2017), 18-25
Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension1609.07360v2 · Antti Kaenmaki, Ian D. Morris2016 · 18 citationsProc. Lond. Math. Soc., 116 (2018), no. 4, 929-956
Measures with predetermined regularity and inhomogeneous self-similar sets1609.03325v2 · Antti Kaenmaki, Juha Lehrback2016 · 28 citationsArk. Mat., 55 (2017), no. 1, 165-184
A note on correlation and local dimensions1511.08191v2 · Jiaojiao Yang, Antti Kaenmaki, Min Wu2015 · 3 citationsChaos Solitons Fractals, 97 (2017), 39-43
Ledrappier-Young formula and exact dimensionality of self-affine measures1511.05792v3 · Bal'azs B'ar'any, Antti Kaenmaki2015 · 46 citationsAdv. Math., 318 (2017), 88-129
Weak separation condition, Assouad dimension, and Furstenberg homogeneity1506.07851v2 · Antti Kaenmaki, Eino Rossi2015 · 37 citationsAnn. Acad. Sci. Fenn. Math., 41 (2016), no. 1, 465-490
Dynamics of the scenery flow and geometry of measures1401.0231v3 · Antti Kaenmaki, Tuomas Sahlsten, Pablo Shmerkin2013 · 12 citationsProc. Lond. Math. Soc., 110 (2015), no. 5, 1248-1280
Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets1212.5820v1 · Antti Kaenmaki, Henry WJ Reeve2012 · 33 citationsJ. Fractal Geom., 1 (2014), no. 1, 83-152
Local multifractal analysis in metric spaces1209.3648v2 · Antti Kaenmaki, Tapio Rajala, Ville Suomala2012 · 9 citationsNonlinearity, 26 (2013), no. 8, 2157-2173
Career total: 66 works. 55 are in this corpus.Showing the 50 most recent.
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