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Author ID: rataj.jan Recent zbMATH articles by "Rataj, Jan"
Published as: Rataj, Jan; Rataj, J.
Homepage: https://www2.karlin.mff.cuni.cz/~rataj/index_en.html
External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 61 Publications since 1985, including 2 Books and 1 Additional arXiv Preprint
Reviewing Activity: 15 Reviews
Co-Authors: 26 Co-Authors with 42 Joint Publications
506 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 322 times in 182 Documents Cited by Year
Curvatures and currents for unions of sets with positive reach. II. Zbl 0997.53062
Rataj, J.; Zähle, M.
28
2001
On volume and surface area of parallel sets. Zbl 1234.28008
Rataj, Jan; Winter, Steffen
23
2010
Normal cycles of Lipschitz manifolds by approximation with parallel sets. Zbl 1042.53053
Rataj, J.; Zähle, M.
18
2003
Characterization of Minkowski measurability in terms of surface area. Zbl 1273.28003
Rataj, Jan; Winter, Steffen
18
2013
Stochastic geometry: Selected topics. Zbl 1052.60001
Beneš, Viktor; Rataj, Jan
17
2004
On the structure of sets with positive reach. Zbl 1375.26026
Rataj, Jan; Zajíček, Luděk
17
2017
General normal cycles and Lipschitz manifolds of bounded curvature. Zbl 1146.53309
Rataj, J.; Zähle, M.
16
2005
On infinitesimal increase of volumes of morphological transforms. Zbl 1117.28002
Kiderlen, Markus; Rataj, Jan
15
2006
On the expected surface area of the Wiener sausage. Zbl 1166.60049
Rataj, Jan; Schmidt, Volker; Spodarev, Evgeny
13
2009
Normal cycles and curvature measures of sets with d.c. boundary. Zbl 1286.58002
Pokorný, Dušan; Rataj, Jan
11
2013
Mixed curvature measures for sets of positive reach and a translative integral formula. Zbl 0844.53050
Rataj, J.; Zähle, M.
9
1995
Translative and kinematic formulae for curvature measures of flat sections. Zbl 0944.53044
Rataj, Jan
9
1999
Kinematic formulas for sets defined by differences of convex functions. Zbl 1403.53062
Fu, Joseph H. G.; Pokorný, Dušan; Rataj, Jan
9
2017
Curvature measures of singular sets. Zbl 1423.28001
Rataj, Jan; Zähle, Martina
9
2019
Determination of spherical area measures by means of dilation volumes. Zbl 1005.52004
Rataj, Jan
8
2002
On the estimation of intrinsic volume densities of stationary random closed sets. Zbl 1148.62023
Mrkvička, T.; Rataj, J.
7
2008
Curvature densities of self-similar sets. Zbl 1279.28016
Rataj, Jan; Zähle, Martina
7
2012
A rotational integral formula for intrinsic volumes. Zbl 1154.60010
Jensen, Eva B. Vedel; Rataj, Jan
6
2008
A flag representation of projection functions. Zbl 1401.52008
Goodey, Paul; Hinderer, Wolfram; Hug, Daniel; Rataj, Jan; Weil, Wolfgang
5
2017
On estimation of the Euler number by projections of thin slabs. Zbl 1070.60010
Rataj, J.
5
2004
A product integral representation of mixed volumes of two convex bodies. Zbl 1284.52006
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
5
2013
On boundaries of unions of sets with positive reach. Zbl 1097.53050
Rataj, J.
4
2005
Estimation of intrinsic volumes from parallel neighbourhoods. Zbl 1101.62084
Rataj, Jan
4
2006
Analysis of planar anisotropy by means of the Steiner compact. Zbl 0694.60010
Rataj, Jan; Saxl, Ivan
4
1989
The iterated version of a translative integral formula for sets of positive reach. Zbl 0902.53049
Rataj, Jan
4
1997
Estimation of oriented direction distribution of a planar body. Zbl 0861.60023
Rataj, Jan
4
1996
Almost sure asymptotic behaviour of the \(r\)-neighbourhood surface area of Brownian paths. Zbl 1249.28003
Honzl, Ondřej; Rataj, Jan
4
2012
Mixed curvature measures of translative integral geometry. Zbl 1397.53088
Hug, Daniel; Rataj, Jan
4
2018
On the structure of WDC sets. Zbl 1429.26022
Pokorný, Dušan; Rataj, Jan; Zajíček, Luděk
4
2019
Closed form of the rotational Crofton formula. Zbl 1235.60010
Auneau, Jérémy; Rataj, Jan; Jensen, Eva B. Vedel
3
2012
A translative integral formula for absolute curvature measures. Zbl 0985.53035
Rataj, Jan
3
2001
On set covariance and three-point test sets. Zbl 1049.52004
Rataj, J.
3
2004
Absolute curvature measures for unions of sets with positive reach. Zbl 1101.28004
Rataj, Jan
3
2002
Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces. Zbl 1260.53121
Rataj, Jan; Zajíček, Luděk
3
2012
A remark on mixed curvature measures for sets with positive reach. Zbl 1008.53060
Rataj, J.; Zähle, M.
3
2002
Approximations of the Wiener sausage and its curvature measures. Zbl 1205.60146
Rataj, Jan; Spodarev, Evgeny; Meschenmoser, Daniel
3
2009
Convergence of total variation of curvature measures. Zbl 1136.53054
Rataj, J.
2
2008
Flag representations of mixed volumes and mixed functionals of convex bodies. Zbl 1383.52007
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2
2018
Determination of compact sets in Euclidean spaces by the volume of their dilation. Zbl 0784.60018
Lešanovský, Antonín; Rataj, Jan
2
1990
Maximal sets of orthogonal measures are not analytic. Zbl 0631.28001
Preiss, David; Rataj, Jan
1
1985
Random paths in non-convex bodies. Zbl 0685.60014
Saxl, I.; Rataj, J.
1
1989
Characterization of compact sets by their dilation volume. Zbl 0826.60009
Rataj, Jan
1
1995
0-1 sequences having the same numbers of (1-1)-couples of given distances. Zbl 0762.11008
Lešanovský, Antonín; Rataj, Jan; Hojek, Stanislav
1
1992
Remarks on translative formula for sets of positive reach. Zbl 0868.53053
Rataj, Jan
1
1997
Random sets of finite perimeter. Zbl 1366.60014
Rataj, Jan
1
2015
Mean Lipschitz-Killing curvatures for homogeneous random fractals. Zbl 07754858
Rataj, Jan; Winter, Steffen; Zähle, Martina
1
2023
Dilation volumes of sets of finite perimeter. Zbl 1440.60012
Kiderlen, Markus; Rataj, Jan
1
2018
Mean Lipschitz-Killing curvatures for homogeneous random fractals. Zbl 07754858
Rataj, Jan; Winter, Steffen; Zähle, Martina
1
2023
Curvature measures of singular sets. Zbl 1423.28001
Rataj, Jan; Zähle, Martina
9
2019
On the structure of WDC sets. Zbl 1429.26022
Pokorný, Dušan; Rataj, Jan; Zajíček, Luděk
4
2019
Mixed curvature measures of translative integral geometry. Zbl 1397.53088
Hug, Daniel; Rataj, Jan
4
2018
Flag representations of mixed volumes and mixed functionals of convex bodies. Zbl 1383.52007
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2
2018
Dilation volumes of sets of finite perimeter. Zbl 1440.60012
Kiderlen, Markus; Rataj, Jan
1
2018
On the structure of sets with positive reach. Zbl 1375.26026
Rataj, Jan; Zajíček, Luděk
17
2017
Kinematic formulas for sets defined by differences of convex functions. Zbl 1403.53062
Fu, Joseph H. G.; Pokorný, Dušan; Rataj, Jan
9
2017
A flag representation of projection functions. Zbl 1401.52008
Goodey, Paul; Hinderer, Wolfram; Hug, Daniel; Rataj, Jan; Weil, Wolfgang
5
2017
Random sets of finite perimeter. Zbl 1366.60014
Rataj, Jan
1
2015
Characterization of Minkowski measurability in terms of surface area. Zbl 1273.28003
Rataj, Jan; Winter, Steffen
18
2013
Normal cycles and curvature measures of sets with d.c. boundary. Zbl 1286.58002
Pokorný, Dušan; Rataj, Jan
11
2013
A product integral representation of mixed volumes of two convex bodies. Zbl 1284.52006
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
5
2013
Curvature densities of self-similar sets. Zbl 1279.28016
Rataj, Jan; Zähle, Martina
7
2012
Almost sure asymptotic behaviour of the \(r\)-neighbourhood surface area of Brownian paths. Zbl 1249.28003
Honzl, Ondřej; Rataj, Jan
4
2012
Closed form of the rotational Crofton formula. Zbl 1235.60010
Auneau, Jérémy; Rataj, Jan; Jensen, Eva B. Vedel
3
2012
Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces. Zbl 1260.53121
Rataj, Jan; Zajíček, Luděk
3
2012
On volume and surface area of parallel sets. Zbl 1234.28008
Rataj, Jan; Winter, Steffen
23
2010
On the expected surface area of the Wiener sausage. Zbl 1166.60049
Rataj, Jan; Schmidt, Volker; Spodarev, Evgeny
13
2009
Approximations of the Wiener sausage and its curvature measures. Zbl 1205.60146
Rataj, Jan; Spodarev, Evgeny; Meschenmoser, Daniel
3
2009
On the estimation of intrinsic volume densities of stationary random closed sets. Zbl 1148.62023
Mrkvička, T.; Rataj, J.
7
2008
A rotational integral formula for intrinsic volumes. Zbl 1154.60010
Jensen, Eva B. Vedel; Rataj, Jan
6
2008
Convergence of total variation of curvature measures. Zbl 1136.53054
Rataj, J.
2
2008
On infinitesimal increase of volumes of morphological transforms. Zbl 1117.28002
Kiderlen, Markus; Rataj, Jan
15
2006
Estimation of intrinsic volumes from parallel neighbourhoods. Zbl 1101.62084
Rataj, Jan
4
2006
General normal cycles and Lipschitz manifolds of bounded curvature. Zbl 1146.53309
Rataj, J.; Zähle, M.
16
2005
On boundaries of unions of sets with positive reach. Zbl 1097.53050
Rataj, J.
4
2005
Stochastic geometry: Selected topics. Zbl 1052.60001
Beneš, Viktor; Rataj, Jan
17
2004
On estimation of the Euler number by projections of thin slabs. Zbl 1070.60010
Rataj, J.
5
2004
On set covariance and three-point test sets. Zbl 1049.52004
Rataj, J.
3
2004
Normal cycles of Lipschitz manifolds by approximation with parallel sets. Zbl 1042.53053
Rataj, J.; Zähle, M.
18
2003
Determination of spherical area measures by means of dilation volumes. Zbl 1005.52004
Rataj, Jan
8
2002
Absolute curvature measures for unions of sets with positive reach. Zbl 1101.28004
Rataj, Jan
3
2002
A remark on mixed curvature measures for sets with positive reach. Zbl 1008.53060
Rataj, J.; Zähle, M.
3
2002
Curvatures and currents for unions of sets with positive reach. II. Zbl 0997.53062
Rataj, J.; Zähle, M.
28
2001
A translative integral formula for absolute curvature measures. Zbl 0985.53035
Rataj, Jan
3
2001
Translative and kinematic formulae for curvature measures of flat sections. Zbl 0944.53044
Rataj, Jan
9
1999
The iterated version of a translative integral formula for sets of positive reach. Zbl 0902.53049
Rataj, Jan
4
1997
Remarks on translative formula for sets of positive reach. Zbl 0868.53053
Rataj, Jan
1
1997
Estimation of oriented direction distribution of a planar body. Zbl 0861.60023
Rataj, Jan
4
1996
Mixed curvature measures for sets of positive reach and a translative integral formula. Zbl 0844.53050
Rataj, J.; Zähle, M.
9
1995
Characterization of compact sets by their dilation volume. Zbl 0826.60009
Rataj, Jan
1
1995
0-1 sequences having the same numbers of (1-1)-couples of given distances. Zbl 0762.11008
Lešanovský, Antonín; Rataj, Jan; Hojek, Stanislav
1
1992
Determination of compact sets in Euclidean spaces by the volume of their dilation. Zbl 0784.60018
Lešanovský, Antonín; Rataj, Jan
2
1990
Analysis of planar anisotropy by means of the Steiner compact. Zbl 0694.60010
Rataj, Jan; Saxl, Ivan
4
1989
Random paths in non-convex bodies. Zbl 0685.60014
Saxl, I.; Rataj, J.
1
1989
Maximal sets of orthogonal measures are not analytic. Zbl 0631.28001
Preiss, David; Rataj, Jan
1
1985
all top 5

Cited by 183 Authors

28 Rataj, Jan
17 Hug, Daniel
10 Villa, Elena
10 Winter, Steffen
9 Svane, Anne Marie
9 Weil, Wolfgang
8 Kiderlen, Markus
8 Lapidus, Michel L.
8 Zähle, Martina
6 Pokorný, Dušan
6 Vedel Jensen, Eva Bjørn
5 Spodarev, Evgueni
4 Beneš, Viktor
4 Camerlenghi, Federico
4 Kampf, Jürgen
4 Kombrink, Sabrina
4 Last, Günter
4 Radunović, Goran
4 Staněk, Jakub
4 Staňková Helisová, Kateřina
4 Žubrinić, Darko
3 Capasso, Vincenzo
3 Fu, Joseph Howland Guthrie
3 Honzl, Ondřej
3 Longinetti, Marco
3 Lytchak, Alexander
3 Manselli, Paolo
3 Mecke, Klaus R.
3 Micheletti, Alessandra
3 Molchanov, Ilya S.
3 Mrkvička, Tomáš
3 Pogodaev, Nikolaĭ Il’ich
3 Santilli, Mario
3 Schneider, Rolf G.
3 Venturi, Adriana
2 Ambrosio, Luigi
2 Auneau, Jérémy
2 Ballani, Felix
2 Bernig, Andreas
2 Delfour, Michel Claude
2 Faifman, Dmitry
2 Fraiman, Ricardo
2 Glaunès, Joan Alexis
2 Hörrmann, Julia
2 Kapovitch, Vitali
2 Kesseböhmer, Marc
2 Khmaladze, Estate V.
2 Klatt, Michael Andreas
2 Lachièze-Rey, Raphaël
2 Morale, Daniela
2 Pawlas, Zbyněk
2 Pearse, Erin Peter James
2 Roussillon, Pierre
2 Saracco, Giorgio
2 Schmidt, Volker
2 Schulte, Matthias
2 Šedivý, Ondřej
2 Wannerer, Thomas
2 Weis, Jan A.
2 Yukich, Joseph Elliott
2 Zajíček, Luděk
1 Abardia-Evéquoz, Judit
1 Adams, Henry
1 Alessi, Alessio A.
1 Alonso-Ruiz, Patricia
1 Angiuli, Luciana
1 Baudoin, Fabrice
1 Berezhkovskii, Alexander M.
1 Bezrukov, Sergey M.
1 Bohl, Tilman Johannes
1 Böhlke, Thomas
1 Breidenbach, B.
1 Campi, Stefano
1 Černý, Rostislav
1 Chambolle, Antonin
1 Chazal, Frédéric
1 Chen, Li
1 Cholaquidis, Alejandro
1 Cibotaru, Daniel Florentiu
1 Cockreham, James
1 Cohen-Steiner, David
1 Colesanti, Andrea
1 Crasta, Graziano
1 Crouzet, Jean-François
1 Cruz-Orive, Luis Manuel
1 Cuevas, Antonio
1 Czarnecki, Marc-Olivier
1 Dann, Susanna
1 Dare, Emil
1 Del Nin, Giacomo
1 Deniz, Ali
1 Dereudre, David
1 Dettmers, Kristin
1 Dorogovtsev, Andriĭ Anatoliĭovych
1 Edalat, Abbas
1 Eichinger, Tobias
1 Ernesti, Felix
1 Fang, Yangqin
1 Fischer, Vera
1 Fradelizi, Matthieu
...and 83 more Authors
all top 5

Cited in 78 Serials

11 Advances in Mathematics
10 Mathematische Nachrichten
10 Advances in Applied Mathematics
9 Advances in Applied Probability
6 Methodology and Computing in Applied Probability
5 Journal of Mathematical Analysis and Applications
5 Mathematika
5 Stochastic Processes and their Applications
5 Journal of Mathematical Imaging and Vision
4 Czechoslovak Mathematical Journal
3 Annals of the Institute of Statistical Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Geometriae Dedicata
3 Kybernetika
3 Annals of Global Analysis and Geometry
3 Discrete & Computational Geometry
3 The Annals of Applied Probability
3 Bernoulli
3 Journal of Fractal Geometry
2 Scandinavian Journal of Statistics
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Zeitschrift
2 SIAM Journal on Control and Optimization
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Calculus of Variations and Partial Differential Equations
2 Journal of Convex Analysis
2 Discrete and Continuous Dynamical Systems. Series S
1 Applicable Analysis
1 Israel Journal of Mathematics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Metrika
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 American Journal of Mathematics
1 Fundamenta Mathematicae
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of Geometry
1 Journal of Multivariate Analysis
1 Journal of Optimization Theory and Applications
1 Journal of Statistical Planning and Inference
1 Manuscripta Mathematica
1 Le Matematiche
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Statistics & Probability Letters
1 Statistics
1 Constructive Approximation
1 Applications of Mathematics
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 NoDEA. Nonlinear Differential Equations and Applications
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Geometry & Topology
1 Chaos
1 New Journal of Physics
1 Differential Equations
1 Advances in Geometry
1 Bulletin of the Brazilian Mathematical Society. New Series
1 GAMM-Mitteilungen
1 Electronic Journal of Statistics
1 SIAM Journal on Imaging Sciences
1 Set-Valued and Variational Analysis
1 Bulletin of Mathematical Sciences
1 Journal of Mathematics in Industry
1 Analysis and Geometry in Metric Spaces
1 Philosophical Transactions A. Royal Society of London
1 Actes des Rencontres du C.I.R.M.
1 Annales Fennici Mathematici

Citations by Year

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