Antti Käenmäki

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Ville SuomalaUniversity of OuluVerified email at oulu.fi
Balázs BárányAssociate Professor, Department of Stochastics, Budapest University of Technology and EconomicsVerified email at math.bme.hu
Tapio RajalaAssociate Professor, Department of Mathematics and Statistics, University of JyväskyläVerified email at jyu.fi
Eino RossiUniversity of HelsinkiVerified email at helsinki.fi
Jonathan FraserMathematical Institute, University of St AndrewsVerified email at st-andrews.ac.uk
De-Jun FengProfessor, The Chinese University of Hong KongVerified email at math.cuhk.edu.hk
Juha LehrbäckSenior lecturer, University of JyväskyläVerified email at jyu.fi
Pablo ShmerkinProfessor - University of British ColumbiaVerified email at math.ubc.ca
Henna KoivusaloUniversity of BristolVerified email at bristol.ac.uk
Ian D. MorrisReader in Mathematics, Queen Mary University of LondonVerified email at qmul.ac.uk
Tuomas OrponenUniversity of JyväskyläVerified email at jyu.fi
Sari RogovinAalto University, FinlandVerified email at aalto.fi
Matti VuorinenProfessor of Mathematics, University of Turku, FinlandVerified email at utu.fi
Tuomas SahlstenUniversity of HelsinkiVerified email at helsinki.fi
Sascha TroscheitUppsala UniversityVerified email at math.uu.se
Bing LiDepartment of Mathematics, South China University of TechnologyVerified email at scut.edu.cn
Henry W J ReeveUniversity of BristolVerified email at bristol.ac.uk
Han YuUniversity of WarwickVerified email at warwick.ac.uk
Kenneth FalconerProfessor of Mathematics, University of St AndrewsVerified email at st-andrews.ac.uk
Jasmina AngelevskaTeaching AssistantVerified email at feit.ukim.edu.mk

Antti Käenmäki

University of Eastern Finland

Verified email at kaenmaki.net - Homepage

Ergodic theory Fractal geometry Geometric measure theory


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Dimensions, Whitney covers, and tubular neighborhoods A Käenmäki, J Lehrbäck, M Vuorinen Indiana Univ. Math. J., 62 (2013), no. 6, 1861-1889, 2013	106	2013
On natural invariant measures on generalised iterated function systems A Käenmäki Ann. Acad. Sci. Fenn. Math., 29 (2004), no. 2, 419-458, 2004	105*	2004
Existence of doubling measures via generalised nested cubes A Käenmäki, T Rajala, V Suomala Proc. Amer. Math. Soc., 140 (2012), no. 9, 3275-3281, 2012	76	2012
Equilibrium states of the pressure function for products of matrices DJ Feng, A Käenmäki Discrete Contin. Dyn. Syst., 30 (2011), no. 3, 699-704, 2011	67	2011
Ledrappier–Young formula and exact dimensionality of self-affine measures B Bárány, A Käenmäki Adv. Math., 318 (2017), 88-129, 2017	64	2017
Packing dimension and Ahlfors regularity of porous sets in metric spaces E Järvenpää, M Järvenpää, A Käenmäki, T Rajala, S Rogovin, V Suomala Math. Z., 266 (2010), no. 1, 83-105, 2010	57	2010
Weak separation condition, Assouad dimension, and Furstenberg homogeneity A Käenmäki, E Rossi Ann. Acad. Sci. Fenn. Math., 41 (2016), no. 1, 465-490, 2016	50	2016
Dimension and measures on sub-self-affine sets A Käenmäki, M Vilppolainen Monatsh. Math., 161 (2010), no. 3, 271-293, 2010	48	2010
Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets A Käenmäki, HWJ Reeve J. Fractal Geom., 1 (2014), no. 1, 83-152, 2014	42	2014
Rigidity of quasisymmetric mappings on self-affine carpets A Käenmäki, T Ojala, E Rossi Int. Math. Res. Not. IMRN, 12 (2018), 3769-3799, 2018	38	2018
A Marstrand-type restricted projection theorem in A Käenmäki, T Orponen, L Venieri arXiv preprint arXiv:1708.04859, 2017	37	2017
Overlapping self-affine sets of Kakeya type A Käenmäki, P Shmerkin Ergodic Theory Dynam. Systems, 29 (2009), no. 3, 941-965, 2009	37	2009
Nonsymmetric conical upper density and k-porosity A Käenmäki, V Suomala Trans. Amer. Math. Soc., 363 (2011), no. 3, 1183-1195, 2011	36*	2011
Separation conditions on controlled Moran constructions A Käenmäki, M Vilppolainen Fund. Math., 200 (2008), no. 1, 69-100, 2008	34*	2008
Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles B Bárány, A Käenmäki, ID Morris Israel J. Math. 239 (1), 173-214, 2020	30	2020
Minkowski dimension for measures K Falconer, J Fraser, A Käenmäki Proc. Amer. Math. Soc. 151 (2), 779-794, 2023	29	2023
Measures with predetermined regularity and inhomogeneous self-similar sets A Käenmäki, J Lehrbäck Ark. Mat. 55 (1), 165-184, 2017	28	2017
Conical upper density theorems and porosity of measures A Käenmäki, V Suomala Adv. Math., 217 (2008), no. 3, 952-966, 2008	28	2008
Self‐conformal sets with positive Hausdorff measure J Angelevska, A Käenmäki, S Troscheit Bulletin of the London Mathematical Society 52 (1), 200-223, 2020	23	2020
Dimension of self‐affine sets for fixed translation vectors B Bárány, A Käenmäki, H Koivusalo J. Lond. Math. Soc., 98 (2018), no. 1, 223-252, 2018	21	2018

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