Jan Rataj

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All published works

Action	Title	Year	Authors
+	On volume and surface area of parallel sets. II. Surface measures and (non)differentiability of the volume	2025	Jan Rataj Steffen Winter
+ PDF Chat	Mean Lipschitz–Killing curvatures for homogeneous random fractals	2023	Jan Rataj Steffen Winter Martina Zähle
+	On volume and surface area of parallel sets. II. Surface measures and (non-)differentiability of the volume	2023	Jan Rataj Steffen Winter
+ PDF Chat	Mean Euler characteristic of stationary random closed sets	2021	Jan Rataj
+	Mean Lipschitz-Killing curvatures for homogeneous random fractals	2021	Jan Rataj Steffen Winter Martina Zähle
+ PDF Chat	SMALLNESS OF THE SET OF CRITICAL VALUES OF DISTANCE FUNCTIONS IN TWO‐DIMENSIONAL EUCLIDEAN AND RIEMANNIAN SPACES	2020	Jan Rataj Luděk Zajı́ček
+	On the structure of WDC sets	2019	Dušan Pokorný Jan Rataj Luděk Zajı́ček
+	Unions of Sets with Positive Reach	2019	Jan Rataj Martina Zähle
+	Fractal Versions of Curvatures	2019	Jan Rataj Martina Zähle
+	Approximation of Curvatures	2019	Jan Rataj Martina Zähle
+	Extensions of Curvature Measures to Larger Set Classes	2019	Jan Rataj Martina Zähle
+	Background from Differential Geometry and Topology	2019	Jan Rataj Martina Zähle
+	Sets with Positive Reach	2019	Jan Rataj Martina Zähle
+	Curvature Measures of Singular Sets	2019	Jan Rataj Martina Zähle
+	Integral Geometric Formulas	2019	Jan Rataj Martina Zähle
+	Background from Geometric Measure Theory	2019	Jan Rataj Martina Zähle
+	Background from Convex Geometry	2019	Jan Rataj Martina Zähle
+	Characterization Theorems	2019	Jan Rataj Martina Zähle
+ PDF Chat	Dilation volumes of sets of finite perimeter	2018	Markus Kiderlen Jan Rataj
+	Flag representations of mixed volumes and mixed functionals of convex bodies	2017	Daniel Hug Jan Rataj Wolfgang Weil
+ PDF Chat	Mixed curvature measures of translative integral geometry	2017	Daniel Hug Jan Rataj
+ PDF Chat	A flag representation of projection functions	2017	Paul Goodey Wolfram Hinderer Daniel Hug Jan Rataj Wolfgang Weil
+	Flag representations of mixed volumes and mixed functionals of convex bodies	2017	Daniel Hug Jan Rataj Wolfgang Weil
+ PDF Chat	Kinematic formulas for sets defined by differences of convex functions	2017	Joseph H. G. Fu Dušan Pokorný Jan Rataj
+	On the structure of WDC sets	2017	Dušan Pokorný Jan Rataj Luděk Zajı́ček
+ PDF Chat	On the structure of sets with positive reach	2017	Jan Rataj Luděk Zajı́ček
+	Flag representations of mixed volumes and mixed functionals of convex bodies	2017	Daniel Hug Jan Rataj Wolfgang Weil
+	On the structure of WDC sets	2017	Dušan Pokorný Jan Rataj Luděk Zajı́ček
+	Mixed curvature measures of translative integral geometry	2016	Daniel Hug Jan Rataj
+	Mixed curvature measures of translative integral geometry	2016	Daniel Hug Jan Rataj
+	Kinematic formulas for sets defined by differences of convex functions	2015	Joseph H. G. Fu Dušan Pokorný Jan Rataj
+	A flag representation of projection functions	2015	Paul Goodey Wolfram Hinderer Daniel Hug Jan Rataj Wolfgang Weil
+	Kinematic formulas for sets defined by differences of convex functions	2015	Joseph H. G. Fu Dušan Pokorný Jan Rataj
+	A flag representation of projection functions	2015	Paul Goodey Wolfram Hinderer Daniel Hug Jan Rataj Wolfgang Weil
+ PDF Chat	Random sets of finite perimeter	2014	Jan Rataj
+ PDF Chat	Legendrian Cycles and Curvatures	2014	Jan Rataj Martina Zähle
+	Normal cycles and curvature measures of sets with d.c. boundary	2013	Dušan Pokorný Jan Rataj
+ PDF Chat	A product integral representation of mixed volumes of two convex bodies	2013	Daniel Hug Jan Rataj Wolfgang Weil
+	Characterization of Minkowski measurability in terms of surface area	2012	Jan Rataj Steffen Winter
+ PDF Chat	Almost sure asymptotic behaviour of the r-neighbourhood surface area of Brownian paths	2012	Ondřej Honzl Jan Rataj
+ PDF Chat	Curvature densities of self-similar sets	2012	Jan Rataj Martina Zähle
+	Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces	2012	Jan Rataj Luděk Zajı́ček
+	Closed form of the rotational Crofton formula	2011	Jérémy Auneau Jan Rataj Eva B. Vedel Jensen
+ PDF Chat	Properties of distance functions on convex surfaces and applications	2011	Jan Rataj Luděk Zajı́ček
+	Curvature densities of self-similar sets	2010	Jan Rataj Martina Zähle
+ PDF Chat	On volume and surface area of parallel sets	2010	Jan Rataj Steffen Winter
+	Curvature densities of self-similar sets	2010	Jan Rataj Martina Zähle
+ PDF Chat	Approximations of the Wiener sausage and its curvature measures	2009	Jan Rataj Evgeny Spodarev Daniel Meschenmoser
+	A note on measures of parallel sets	2009	Jan Rataj Steffen Winter
+	On the expected surface area of the Wiener sausage	2009	Jan Rataj Volker Schmidt Evgeny Spodarev
+	Properties of distance functions on convex surfaces and Alexandrov spaces	2009	Jan Rataj Luděk Zajı́ček
+	Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces	2009	Jan Rataj Luděk Zajı́ček
+	ON ESTIMATION OF INTRINSIC VOLUME DENSITIES OF STATIONARY RANDOM CLOSED SETS VIA PARALLEL SETS IN THE PLANE	2009	Tomáš Mrkvička Jan Rataj
+	Properties of distance functions on convex surfaces and applications	2009	Jan Rataj Luděk Zajı́ček
+	A rotational integral formula for intrinsic volumes	2008	Eva B. Vedel Jensen Jan Rataj
+	Convergence of total variation of curvature measures	2008	Jan Rataj
+	On the estimation of intrinsic volume densities of stationary random closed sets	2007	Tomáš Mrkvička Jan Rataj
+ PDF Chat	On Infinitesimal Increase of Volumes of Morphological Transforms	2006	Markus Kiderlen Jan Rataj
+ PDF Chat	General Normal Cycles and Lipschitz Manifolds of Bounded Curvature	2005	Jan Rataj M. Z�hle
+	On Boundaries of Unions of Sets with Positive Reach	2005	Jan Rataj
+	On estimation of the Euler number by projections of thin slabs	2004	Jan Rataj
+	On estimation of the Euler number by projections of thin slabs	2004	Jan Rataj
+ PDF Chat	On Set Covariance and Three-Point Test Sets	2004	Jan Rataj
+	Stochastic Geometry: Selected Topics	2004	Viktor Beneš Jan Rataj
+	Normal cycles of Lipschitz manifolds by approximation with parallel sets	2003	Jan Rataj Martina Zähle
+	Absolute curvature measures for unions of sets with positive reach	2002	Jan Rataj
+	Determination of Spherical Area Measures by Means of Dilation Volumes	2002	Jan Rataj
+	A remark on mixed curvature measures for sets with positive reach.	2002	Jan Rataj Martina Zähle
+	None	2001	Jan Rataj
+	None	2001	Jan Rataj Martina Zähle
+	Projection Measures And Estimation Variances Of Intensities	1999	Viktor Beneša Jan Rataj Pavel Krejčíř Joachim Ohserc
+	Translative and Kinematic Formulae for Curvature Measures of Flat Sections	1999	Jan Rataj
+	Determination of spherical area measures by means of dilation volumes	1998	Jan Rataj
+	None	1997	Jan Rataj
+ PDF Chat	Boolean cluster models: mean cluster dilations and spherical contact distances	1997	Jan Rataj Ivan Saxl
+	Mixed curvature measures and a translative integral formula	1996	Jan Rataj
+	Estimation of oriented direction distribution of a planar body	1996	Jan Rataj
+	Mixed curvature measures and a translative integral formula	1996	Jan Rataj
+	Estimation of oriented direction distribution of a planar body	1996	Jan Rataj
+	Spherical contact and nearest neighbour distances in Boolean cluster fields	1996	Ivan Saxl Jan Rataj
+	Mixed curvature measures for sets of positive reach and a translative integral formula	1995	Jan Rataj M. Z�hle
+	Quantification and Modelling of Heterogeneous Systems	1995	K. Pelikán Ivan Saxl Jan Rataj
+	Characterization of Compact Sets by Their Dilation Volume	1995	Jan Rataj
+ PDF Chat	Convergence of randomly oscillating point patterns to the Poisson point process	1993	Jan Rataj Ivan Saxl K. Pelikán
+	An intersection formula for Hausdorff rectifiable sets using mixed volumes of the associated zonoids	1992	Jan Rataj
+ PDF Chat	$0\text{-}1$ sequences having the same numbers of $(1\text{-}1)$-couples of given distances	1992	Antonín Lešanovský Jan Rataj Stanislav Hojek
+ PDF Chat	A characterization of the weak convergence of convolution powers	1990	Jan Rataj
+	Analysis of planar anisotropy by means of the Steiner compact	1989	Jan Rataj Ivan Saxl
+	Analysis of planar anisotropy by means of the Steiner compact	1989	Jan Rataj Ivan Saxl
+	Sur la norme de Fourier. III.	1987	Jan Rataj František Zítek
+ PDF Chat	Some remarks on Fourier seminorms	1987	Jan Rataj
+ PDF Chat	On the Fourier norm. III.	1987	Jan Rataj František Zítek
+ PDF Chat	Maximal sets of orthogonal measures are not analytic	1985	David Preiss Jan Rataj
+ PDF Chat	Maximal Sets of Orthogonal Measures are not Analytic	1985	David Preiss Jan Rataj

Common Coauthors

Coauthor	Papers Together
Martina Zähle	20
Luděk Zajı́ček	10
Daniel Hug	10
Steffen Winter	7
Dušan Pokorný	7
Wolfgang Weil	7
Ivan Saxl	6
Wolfram Hinderer	3
Paul Goodey	3
Joseph H. G. Fu	3
Eva B. Vedel Jensen	2
M. Z�hle	2
Evgeny Spodarev	2
František Zítek	2
Tomáš Mrkvička	2
K. Pelikán	2
Markus Kiderlen	2
David Preiss	2
Antonín Lešanovský	1
Pavel Krejčíř	1
Stanislav Hojek	1
Joachim Ohserc	1
Volker Schmidt	1
Ondřej Honzl	1
Viktor Beneša	1
Jérémy Auneau	1
Daniel Meschenmoser	1
Viktor Beneš	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Geometric Measure Theory	1988	Herbert Fédérer	37
+	Integral and current representation of Federer's curvature measures	1986	M. Z�hle	23
+	Tubular neighborhoods in Euclidean spaces	1985	Joseph H. G. Fu	20
+	Geometric Measure Theory	1996	Herbert Fédérer	20
+	None	2001	Jan Rataj Martina Zähle	18
+	Mixed curvature measures for sets of positive reach and a translative integral formula	1995	Jan Rataj M. Z�hle	18
+	Curvatures and currents for unions of sets with positive reach	1987	M. Z�hle	16
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	13
+	Normal cycles of Lipschitz manifolds by approximation with parallel sets	2003	Jan Rataj Martina Zähle	12
+	Curvature Measures of Subanalytic Sets	1994	Joseph H. G. Fu	11
+	Translative and Kinematic Integral Formulae for Curvature Measures	1986	Rolf Schneider Wolfgang Weil	11
+	Optimization and Nonsmooth Analysis	1990	Frank H. Clarke	10
+	Stochastic and Integral Geometry	2008	Rolf Schneider Wolfgang Weil	10
+	Geometric Integration Theory	2008	Steven G. Krantz Harold R. Parks	9
+	A local Steiner?type formula for general closed sets and applications	2003	Daniel Hug Günter Last Wolfgang Weil	9
+	Sets with positive reach	1982	Victor Bangert	9
+	Translative and Kinematic Formulae for Curvature Measures of Flat Sections	1999	Jan Rataj	8
+ PDF Chat	Curvature measures and generalized Morse theory	1989	Joseph H. G. Fu	8
+ PDF Chat	Curvature measures and fractals	2008	Steffen Winter	7
+ PDF Chat	On volume and surface area of parallel sets	2010	Jan Rataj Steffen Winter	7
+	Parallelmengen mit Vielfachheit und Steiner-Formeln	1980	Rolf Schneider	7
+ PDF Chat	On the structure of sets with positive reach	2017	Jan Rataj Luděk Zajı́ček	6
+ PDF Chat	When ε-boundaries are manifolds	1976	Steve Ferry	6
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	6
+ PDF Chat	A product integral representation of mixed volumes of two convex bodies	2013	Daniel Hug Jan Rataj Wolfgang Weil	6
+	Lipschitz-Killing curvatures of self-similar random fractals	2010	Martina Zähle	6
+	Absolute curvature measures, II	1992	W. Rother M. Z�hle	6
+	Absolute Curvature Measures	1989	Martina Zähle	6
+	Integral Geometry and Geometric Probability	2004	Luis A. Santaló Mark Kac	5
+	Semiconcave Functions, Hamilton—Jacobi Equations, and Optimal Control	2004	Piermarco Cannarsa Carlo Sinestrari	5
+	None	1999	Martina Zähle	5
+	Iterations of translative integral formulae and non-isotropic Poisson processes of particles	1990	Wolfgang Weil	5
+ PDF Chat	Hamilton--Jacobi Equations and Distance Functions on Riemannian Manifolds	2002	Carlo Mantegazza Andrea Mennucci	5
+	Additive Transformationen konvexer K�rper	1974	Rolf Schneider	5
+ PDF Chat	EXTENSIONS OF TRANSLATION INVARIANT VALUATIONS ON POLYTOPES	2014	Wolfram Hinderer Daniel Hug Wolfgang Weil	5
+ PDF Chat	Fluctuation Results for the Wiener Sausage	1988	Jean‐François Le Gall	5
+	N�chste Punkte in der Riemannschen Geometrie	1981	Norbert Kleinjohann	5
+	On the expected surface area of the Wiener sausage	2009	Jan Rataj Volker Schmidt Evgeny Spodarev	5
+	Techniques in fractal geometry	1997	K. J. Falconer	5
+ PDF Chat	General Normal Cycles and Lipschitz Manifolds of Bounded Curvature	2005	Jan Rataj M. Z�hle	5
+	Determination of Spherical Area Measures by Means of Dilation Volumes	2002	Jan Rataj	5
+ PDF Chat	Lacunarity of self-similar and stochastically self-similar sets	1999	D. Gatzouras	5
+	Stably Embedded Surfaces of Bounded Integral Curvature	2000	Joseph H. G. Fu	5
+	A remark on mixed curvature measures for sets with positive reach.	2002	Jan Rataj Martina Zähle	5
+	Normal cycles and curvature measures of sets with d.c. boundary	2013	Dušan Pokorný Jan Rataj	5
+	Geometric Integration Theory	1957	Hassler Whitney	4
+ PDF Chat	On the differentiation of convex functions in finite and infinite dimensional spaces	1979	Luděk Zajı́ček	4
+	Polytopes and Brunn-Minkowski Theory	1994	Rolf Schneider	4
+	The unbiased estimation of number and sizes of arbitrary particles using the disector	1984	D. C. Sterio	4
+	Delta-convex mappings between Banach spaces and applications	1989	Libor Veselý Luděk Zajı́ček	4