Markku Vilppolainen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Weakly controlled Moran constructions and iterated functions systems in metric spaces	2011	Tapio Rajala Markku Vilppolainen
+	Weakly controlled Moran constructions and iterated functions systems in metric spaces	2010	Tapio Rajala Markku Vilppolainen
+	Weakly controlled Moran constructions and iterated functions systems in metric spaces	2010	Tapio Rajala Markku Vilppolainen
+ PDF Chat	Dimension and measures on sub-self-affine sets	2009	Antti Käenmäki Markku Vilppolainen
+ PDF Chat	Separation conditions on controlled Moran constructions	2008	Antti Käenmäki Markku Vilppolainen

Common Coauthors

Coauthor	Papers Together
Tapio Rajala	3
Antti Käenmäki	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability	1995	Pertti Mattila	3
+	Techniques in fractal geometry	1997	K. J. Falconer	3
+ PDF Chat	Separation conditions on controlled Moran constructions	2008	Antti Käenmäki Markku Vilppolainen	2
+	Additive functions of intervals and Hausdorff measure	1946	P. A. P. Morán	2
+	An Introduction to Ergodic Theory	1981	Peter Walters	2
+	An Introduction to Ergodic Theory	1982	Peter Walters	2
+	Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure	1992	Christoph Bandt Siegfried Graf	2
+ PDF Chat	Hausdorff dimensions of self-similar sets and shortest path metrics	1995	Jun Kigami	2
+	Geometry of Sets and Measures in Euclidean Spaces	1995	Pertti Mattila	2
+ PDF Chat	Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms	2008	Robert Edward Bowen Jean-René Chazottes David Ruelle	2
+ PDF Chat	Separation properties for self-similar sets	1994	Andreas Schief	2
+ PDF Chat	Overlapping self-affine sets of Kakeya type	2008	Antti Käenmäki Pablo Shmerkin	2
+ PDF Chat	Self-similar sets. VII. A characterization of self-similar fractals with positive Hausdorff measure	1992	Christoph Bandt Siegfried Graf	2
+	A non-additive thermodynamic formalism and applications to dimension theory of hyperbolic dynamical systems	1996	Luís Barreira	2
+ PDF Chat	Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms	1975	Rufus Bowen	2
+	The dimension of self-affine fractals II	1992	K. J. Falconer	1
+	Falconer's formula for the Hausdorff dimension of a self-affine set in R<sup>2</sup>	1995	Irene Hueter Steven P. Lalley	1
+	Hausdorff Measure of Homogeneous Cantor Set	2001	Cheng Qin Qu Hui Rao Wei Su	1
+	Iterated Function System and Ruelle Operator	1999	Ai Hua Fan Ka‐Sing Lau	1
+	The thermodynamic formalism for sub-additive potentials	2008	Yongluo Cao De‐Jun Feng Wen Huang	1
+	Self‐Similar Sets. I. Topological M<scp>ARKOV</scp> Chains and Mixed Self‐Similar Sets	1989	Christoph Bandt	1
+	Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups	2008	Zoltán M. Balogh Jeremy T. Tyson Ben Warhurst	1
+ PDF Chat	Estimations de la dimension inférieure et de la dimension supérieure des mesures	1998	Yanick Heurteaux	1
+ PDF Chat	Sub-self-similar sets	1995	K. J. Falconer	1
+ PDF Chat	Separation properties for self-conformal sets	2002	Yuan-Ling Ye	1
+ PDF Chat	The Pressure Function for Products of Non-negative Matrices	2002	De‐Jun Feng Ka‐Sing Lau	1
+	On Dimension and on the Existence of Sets of Finite Positive Hausdorff Measure	1995	J. D. Howroyd	1
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	1
+	Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results	2003	Zuoling Zhou Feng Li	1
+	Remarks on invariant measures for number theoretic transformations	1975	Michael S. Waterman	1
+ PDF Chat	On the geometric structure of the limit set of conformal iterated function systems	2003	Antti Käenmäki	1
+ PDF Chat	DIMENSIONS OF SELF-AFFINE FRACTALS AND MULTIFRACTALS GENERATED BY UPPER-TRIANGULAR MATRICES	2007	K. J. Falconer Jun Jie Miao	1
+ PDF Chat	Dimension and measures on sub-self-affine sets	2009	Antti Käenmäki Markku Vilppolainen	1
+	Self-similar sets with optimal coverings and packings	2007	Marta Llorente Manuel Morán	1
+	Remarks on the stability of functional equations	1984	Piotr W. Cholewa	1
+	Equilibrium states of the pressure function for products of matrices	2011	De–Jun Feng Antti Käenmäki	1
+	Computability of the Hausdorff and packing measures on self-similar sets and the self-similar tiling principle	2004	Manuel Morán	1
+ PDF Chat	Dimensions and measures of quasi self-similar sets	1989	K. J. Falconer	1
+	On the open set condition for self-similar fractals	2005	Christoph Bandt Nguyen Viet Hung Hui Rao	1
+	Hausdorff Dimension for Randomly Perturbed Self Affine Attractors	2006	Thomas Jordan Mark Pollicott Károly Simon	1
+	The Hausdorff dimension of self-affine fractals	1988	K. J. Falconer	1
+	Kingman's subadditive ergodic theorem	1989	John Steele	1
+	Multifractal decompositions of Moran fractals	1992	Robert Cawley R. Daniel Mauldin	1
+ PDF Chat	The Hausdorff dimension of general Sierpiński carpets	1984	Curt McMullen	1
+	Separation conditions for conformal iterated function systems	2008	Ka‐Sing Lau Sze-Man Ngai Xiangyang Wang	1
+	The geometry of fractal sets	1985	K. J. Falconer	1
+	A Class of Self-Affine Sets and Self-Affine Measures	2005	De-Jun Feng Yang Wang	1
+	Ergodic theory of axiom a diffeomorphisms	1975	Rufus Bowen	1
+ PDF Chat	Plongements lipschitziens dans ${\bbfR}\sp n$	1983	Patrice Assouad	1
+	Nonsymmetric conical upper density and 𝑘-porosity	2010	Antti Käenmäki Ville Suomala	1