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Author ID: thale.christoph Recent zbMATH articles by "Thäle, Christoph"
Published as: Thäle, Christoph; Thäle, C.; Thäle, Chr.
Homepage: http://www.ruhr-uni-bochum.de/ffm/Lehrstuehle/Thaele/
External Links: MGP
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Serials

9 Electronic Journal of Probability
5 Stochastic Processes and their Applications
5 Bernoulli
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Advances in Mathematics
4 The Annals of Probability
3 Advances in Applied Probability
3 Journal of Mathematical Analysis and Applications
3 Journal of Functional Analysis
3 Proceedings of the American Mathematical Society
3 Advances in Applied Mathematics
3 Discrete & Computational Geometry
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Methodology and Computing in Applied Probability
3 Image Analysis & Stereology
2 Mathematische Nachrichten
2 Probability Theory and Related Fields
2 Journal of Complexity
2 Elemente der Mathematik
2 Communications in Contemporary Mathematics
2 Oberwolfach Reports
1 Israel Journal of Mathematics
1 Journal of Statistical Physics
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Indiana University Mathematics Journal
1 Journal of Applied Probability
1 Journal of Approximation Theory
1 Mathematische Annalen
1 Transactions of the American Mathematical Society
1 Statistics & Probability Letters
1 Probability and Mathematical Statistics
1 Statistics
1 Random Structures & Algorithms
1 The Journal of Geometric Analysis
1 Documenta Mathematica
1 Brazilian Journal of Probability and Statistics
1 Forma
1 Stochastics
1 Applied Mathematical Sciences (Ruse)
1 Surveys in Mathematics and its Applications
1 North-Western European Journal of Mathematics
1 Annales Henri Lebesgue

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 522 times in 250 Documents Cited by Year
50 years sets with positive reach – a survey. Zbl 1173.49039
Thäle, Christoph
27
2008
Moments and central limit theorems for some multivariate Poisson functionals. Zbl 1350.60020
Last, Günter; Penrose, Mathew D.; Schulte, Matthias; Thäle, Christoph
26
2014
Malliavin-Stein method for variance-gamma approximation on Wiener space. Zbl 1328.60065
Eichelsbacher, Peter; Thäle, Christoph
25
2015
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
16
2019
Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Zbl 1428.52007
Kabluchko, Zakhar; Marynych, Alexander; Temesvari, Daniel; Thäle, Christoph
15
2019
The scaling limit of Poisson-driven order statistics with applications in geometric probability. Zbl 1262.60031
Schulte, Matthias; Thäle, Christoph
15
2012
Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry. Zbl 1347.60027
Decreusefond, Laurent; Schulte, Matthias; Thäle, Christoph
15
2016
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
15
2019
Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1391.60046
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph
15
2018
Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane. Zbl 1221.60008
Schreiber, Tomasz; Thäle, Christoph
14
2010
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
14
2019
Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1431.60011
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph
13
2019
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
13
2020
Random polytopes: central limit theorems for intrinsic volumes. Zbl 1391.52007
Thäle, Christoph; Turchi, Nicola; Wespi, Florian
12
2018
Poisson polyhedra in high dimensions. Zbl 1325.52005
Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph
12
2015
Gamma limits and \(U\)-statistics on the Poisson space. Zbl 1277.60052
Peccati, Giovanni; Thäle, Christoph
11
2013
Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation. Zbl 1372.05203
Krokowski, Kai; Reichenbachs, Anselm; Thäle, Christoph
11
2017
New Berry-Esseen bounds for non-linear functionals of Poisson random measures. Zbl 1307.60066
Eichelsbacher, Peter; Thäle, Christoph
11
2014
Intrinsic volumes of the maximal polytope process in higher dimensional STIT tessellations. Zbl 1227.60015
Schreiber, Tomasz; Thäle, Christoph
10
2011
Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
10
2020
Further remarks on mixed fractional Brownian motion. Zbl 1200.60032
Thäle, Christoph
9
2009
Limit theorems for iteration stable tessellations. Zbl 1279.60025
Schreiber, Tomasz; Thäle, Christoph
9
2013
Second-order theory for iteration stable tessellations. Zbl 1270.60019
Schreiber, Tomasz; Thäle, Christoph
9
2012
Limit theory for the Gilbert graph. Zbl 1373.60026
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph
9
2017
Splitting tessellations in spherical spaces. Zbl 1417.52006
Hug, Daniel; Thäle, Christoph
9
2019
Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences. Zbl 1341.60005
Krokowski, Kai; Reichenbachs, Anselm; Thäle, Christoph
8
2016
New mean values for homogeneous spatial tessellations that are stable under iteration. Zbl 1215.60008
Thäle, Christoph; Weiss, Viola
7
2010
Geometry of iteration stable tessellations: connection with Poisson hyperplanes. Zbl 1291.60021
Schreiber, Tomasz; Thäle, Christoph
7
2013
Asymptotic theory for statistics of the Poisson-Voronoi approximation. Zbl 1356.60020
Thäle, Christoph; Yukich, J. E.
7
2016
Monotonicity of facet numbers of random convex hulls. Zbl 1380.60023
Bonnet, Gilles; Grote, Julian; Temesvari, Daniel; Thäle, Christoph; Turchi, Nicola; Wespi, Florian
7
2017
Concentration and moderate deviations for Poisson polytopes and polyhedra. Zbl 1429.60020
Grote, Julian; Thäle, Christoph
7
2018
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
6
2020
A random cell splitting scheme on the sphere. Zbl 1366.52006
Deuss, Christian; Hörrmann, Julia; Thäle, Christoph
6
2017
The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT tessellations. Zbl 1224.60015
Thäle, Christoph
5
2010
Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem. Zbl 1334.60032
Schulte, Matthias; Thäle, Christoph
5
2016
Branching random tessellations with interaction: a thermodynamic view. Zbl 1320.60035
Georgii, Hans-Otto; Schreiber, Tomasz; Thäle, Christoph
5
2015
Large deviations, moderate deviations, and the KLS conjecture. Zbl 1486.60049
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph
5
2021
Central limit theorem for the volume of random polytopes with vertices on the boundary. Zbl 1400.52005
Thäle, Christoph
5
2018
Spatial STIT tessellations: distributional results for I-segments. Zbl 1262.60015
Thäle, Christoph; Weiss, Viola; Nagel, Werner
5
2012
Asymptotic normality for random polytopes in non-Euclidean geometries. Zbl 1468.52006
Besau, Florian; Thäle, Christoph
5
2020
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
5
2021
Second-order comparison of three fundamental tessellation models. Zbl 1440.60013
Redenbach, Claudia; Thäle, Christoph
4
2013
On the isotropic constant of random polytopes with vertices on an \(\ell_p\)-sphere. Zbl 1387.52006
Hörrmann, Julia; Prochno, Joscha; Thäle, Christoph
4
2018
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
4
2020
Geometry of \(\ell_p^n\)-balls: classical results and recent developments. Zbl 1456.46013
Prochno, Joscha; Thäle, Christoph; Turchi, Nicola
4
2019
Gaussian polytopes: a cumulant-based approach. Zbl 1396.60012
Grote, Julian; Thäle, Christoph
4
2018
Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw. Zbl 1385.60021
Bárány, Imre; Thäle, Christoph
4
2017
Distances between Poisson \(k\)-flats. Zbl 1319.60018
Schulte, Matthias; Thäle, Christoph
4
2014
Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? Zbl 1478.60042
Herold, Felix; Hug, Daniel; Thäle, Christoph
4
2021
On the arrangement of cells in planar STIT and Poisson line tessellations. Zbl 1274.60031
Redenbach, Claudia; Thäle, Christoph
3
2013
A Mecke-type formula and Markov properties for STIT tessellation processes. Zbl 1372.60012
Nagel, W.; Nguyen, N. L.; Thäle, C.; Weiß, V.
3
2017
Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length. Zbl 1291.60023
Thäle, Christoph
2
2011
The combinatorial structure of spatial STIT tessellations. Zbl 1283.60018
Thäle, Christoph; Weiß, Viola
2
2013
Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets. Zbl 1277.28010
Freiberg, Uta; Thäle, Christoph
2
2013
Shape-driven nested Markov tessellations. Zbl 1291.60022
Schreiber, Tomasz; Thäle, Christoph
2
2013
A new look at random projections of the cube and general product measures. Zbl 1473.60063
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2
2021
Poisson approximation of the length spectrum of random surfaces. Zbl 1404.60026
Petri, Bram; Thäle, Christoph
2
2018
Gaussian fluctuations for edge counts in high-dimensional random geometric graphs. Zbl 1453.60015
Grygierek, Jens; Thäle, Christoph
2
2020
A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages. Zbl 1456.60051
Basse-O’Connor, Andreas; Podolskij, Mark; Thäle, Christoph
2
2020
The character of planar tessellations which are not side-to-side. Zbl 1356.52010
Cowan, Richard; Thäle, Christoph
2
2014
A four moments theorem for gamma limits on a Poisson chaos. Zbl 1342.60028
Fissler, Tobias; Thäle, Christoph
2
2016
Intersection and proximity of processes of flats. Zbl 1325.60048
Hug, Daniel; Thäle, Christoph; Weil, Wolfgang
2
2015
Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005
Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E.
2
2021
Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
2
2018
Concentration inequalities for functionals of Poisson cylinder processes. Zbl 1469.60053
Baci, Anastas; Betken, Carina; Gusakova, Anna; Thäle, Christoph
2
2020
The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030
Kabluchko, Zakhar; Thäle, Christoph
2
2021
Random inscribed polytopes in projective geometries. Zbl 1486.52007
Besau, Florian; Rosen, Daniel; Thäle, Christoph
2
2021
The isotropic constant of random polytopes with vertices on convex surfaces. Zbl 1423.52005
Prochno, Joscha; Thäle, Christoph; Turchi, Nicola
1
2019
Surface area deviation between smooth convex bodies and polytopes. Zbl 1476.52003
Grote, Julian; Thäle, Christoph; Werner, Elisabeth M.
1
2021
Faces in random great hypersphere tessellations. Zbl 1473.52011
Kabluchko, Zakhar; Thäle, Christoph
1
2021
Multivariate central limit theorems for Rademacher functionals with applications. Zbl 1386.60089
Krokowski, Kai; Thäle, Christoph
1
2017
Central limit theorems for the radial spanning tree. Zbl 1359.05112
Schulte, Matthias; Thäle, Christoph
1
2017
The mixing property of STIT tessellations revisited. Zbl 1364.60018
Deuß, Christian; Thäle, Christoph
1
2016
Asymptotic shape of small cells. Zbl 1296.60018
Beermann, Mareen; Redenbach, Claudia; Thäle, Christoph
1
2014
Sharp inequalities for the mean distance of random points in convex bodies. Zbl 1467.52010
Bonnet, Gilles; Gusakova, Anna; Thäle, Christoph; Zaporozhets, Dmitry
1
2021
Concentration on Poisson spaces via modified \(\Phi\)-Sobolev inequalities. Zbl 1475.60026
Gusakova, Anna; Sambale, Holger; Thäle, Christoph
1
2021
The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
1
2022
The volume of simplices in high-dimensional Poisson-Delaunay tessellations. (Volume des simplexes dans les tessellations de Poisson-Delaunay en grande dimension.) Zbl 1483.52004
Gusakova, Anna; Thäle, Christoph
1
2021
Optimal variance-Gamma approximation on the second Wiener chaos. Zbl 1490.60051
Azmoodeh, Ehsan; Eichelsbacher, Peter; Thäle, Christoph
1
2022
The \(\beta\)-Delaunay tessellation. III: Kendall’s problem and limit theorems in high dimensions. Zbl 1483.52003
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph
1
2022
Optimal variance-Gamma approximation on the second Wiener chaos. Zbl 1490.60051
Azmoodeh, Ehsan; Eichelsbacher, Peter; Thäle, Christoph
1
2022
Large deviations, moderate deviations, and the KLS conjecture. Zbl 1486.60049
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph
5
2021
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. Zbl 1475.60061
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
5
2021
Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? Zbl 1478.60042
Herold, Felix; Hug, Daniel; Thäle, Christoph
4
2021
A new look at random projections of the cube and general product measures. Zbl 1473.60063
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
2
2021
Asymptotic normality for random simplices and convex bodies in high dimensions. Zbl 1468.52005
Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E.
2
2021
The typical cell of a Voronoi tessellation on the sphere. Zbl 1477.60030
Kabluchko, Zakhar; Thäle, Christoph
2
2021
Random inscribed polytopes in projective geometries. Zbl 1486.52007
Besau, Florian; Rosen, Daniel; Thäle, Christoph
2
2021
Surface area deviation between smooth convex bodies and polytopes. Zbl 1476.52003
Grote, Julian; Thäle, Christoph; Werner, Elisabeth M.
1
2021
Faces in random great hypersphere tessellations. Zbl 1473.52011
Kabluchko, Zakhar; Thäle, Christoph
1
2021
Sharp inequalities for the mean distance of random points in convex bodies. Zbl 1467.52010
Bonnet, Gilles; Gusakova, Anna; Thäle, Christoph; Zaporozhets, Dmitry
1
2021
Concentration on Poisson spaces via modified \(\Phi\)-Sobolev inequalities. Zbl 1475.60026
Gusakova, Anna; Sambale, Holger; Thäle, Christoph
1
2021
The volume of simplices in high-dimensional Poisson-Delaunay tessellations. (Volume des simplexes dans les tessellations de Poisson-Delaunay en grande dimension.) Zbl 1483.52004
Gusakova, Anna; Thäle, Christoph
1
2021
Sanov-type large deviations in Schatten classes. Zbl 1445.60012
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
13
2020
Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles. Zbl 1448.52005
Kabluchko, Zakhar; Thäle, Christoph; Zaporozhets, Dmitry
10
2020
Exact asymptotic volume and volume ratio of Schatten unit balls. Zbl 1458.46011
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
6
2020
Asymptotic normality for random polytopes in non-Euclidean geometries. Zbl 1468.52006
Besau, Florian; Thäle, Christoph
5
2020
Intersection of unit balls in classical matrix ensembles. Zbl 1450.15029
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
4
2020
Gaussian fluctuations for edge counts in high-dimensional random geometric graphs. Zbl 1453.60015
Grygierek, Jens; Thäle, Christoph
2
2020
A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages. Zbl 1456.60051
Basse-O’Connor, Andreas; Podolskij, Mark; Thäle, Christoph
2
2020
Concentration inequalities for functionals of Poisson cylinder processes. Zbl 1469.60053
Baci, Anastas; Betken, Carina; Gusakova, Anna; Thäle, Christoph
2
2020
High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. Zbl 1412.52007
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph
16
2019
Cones generated by random points on half-spheres and convex hulls of Poisson point processes. Zbl 1428.52007
Kabluchko, Zakhar; Marynych, Alexander; Temesvari, Daniel; Thäle, Christoph
15
2019
Limit theorems for random simplices in high dimensions. Zbl 1456.52006
Grote, Julian; Kabluchko, Zakhar; Thäle, Christoph
15
2019
Expected intrinsic volumes and facet numbers of random beta-polytopes. Zbl 1414.52003
Kabluchko, Zakhar; Temesvari, Daniel; Thäle, Christoph
14
2019
Gaussian fluctuations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1431.60011
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph
13
2019
Splitting tessellations in spherical spaces. Zbl 1417.52006
Hug, Daniel; Thäle, Christoph
9
2019
Geometry of \(\ell_p^n\)-balls: classical results and recent developments. Zbl 1456.46013
Prochno, Joscha; Thäle, Christoph; Turchi, Nicola
4
2019
The isotropic constant of random polytopes with vertices on convex surfaces. Zbl 1423.52005
Prochno, Joscha; Thäle, Christoph; Turchi, Nicola
1
2019
Large deviations for high-dimensional random projections of \(\ell_p^n\)-balls. Zbl 1391.60046
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph
15
2018
Random polytopes: central limit theorems for intrinsic volumes. Zbl 1391.52007
Thäle, Christoph; Turchi, Nicola; Wespi, Florian
12
2018
Concentration and moderate deviations for Poisson polytopes and polyhedra. Zbl 1429.60020
Grote, Julian; Thäle, Christoph
7
2018
Central limit theorem for the volume of random polytopes with vertices on the boundary. Zbl 1400.52005
Thäle, Christoph
5
2018
On the isotropic constant of random polytopes with vertices on an \(\ell_p\)-sphere. Zbl 1387.52006
Hörrmann, Julia; Prochno, Joscha; Thäle, Christoph
4
2018
Gaussian polytopes: a cumulant-based approach. Zbl 1396.60012
Grote, Julian; Thäle, Christoph
4
2018
Poisson approximation of the length spectrum of random surfaces. Zbl 1404.60026
Petri, Bram; Thäle, Christoph
2
2018
Monotonicity of expected \(f\)-vectors for projections of regular polytopes. Zbl 1382.52004
Kabluchko, Zakhar; Thäle, Christoph
2
2018
Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation. Zbl 1372.05203
Krokowski, Kai; Reichenbachs, Anselm; Thäle, Christoph
11
2017
Limit theory for the Gilbert graph. Zbl 1373.60026
Reitzner, Matthias; Schulte, Matthias; Thäle, Christoph
9
2017
Monotonicity of facet numbers of random convex hulls. Zbl 1380.60023
Bonnet, Gilles; Grote, Julian; Temesvari, Daniel; Thäle, Christoph; Turchi, Nicola; Wespi, Florian
7
2017
A random cell splitting scheme on the sphere. Zbl 1366.52006
Deuss, Christian; Hörrmann, Julia; Thäle, Christoph
6
2017
Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw. Zbl 1385.60021
Bárány, Imre; Thäle, Christoph
4
2017
A Mecke-type formula and Markov properties for STIT tessellation processes. Zbl 1372.60012
Nagel, W.; Nguyen, N. L.; Thäle, C.; Weiß, V.
3
2017
Multivariate central limit theorems for Rademacher functionals with applications. Zbl 1386.60089
Krokowski, Kai; Thäle, Christoph
1
2017
Central limit theorems for the radial spanning tree. Zbl 1359.05112
Schulte, Matthias; Thäle, Christoph
1
2017
Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to \(U\)-statistics and stochastic geometry. Zbl 1347.60027
Decreusefond, Laurent; Schulte, Matthias; Thäle, Christoph
15
2016
Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences. Zbl 1341.60005
Krokowski, Kai; Reichenbachs, Anselm; Thäle, Christoph
8
2016
Asymptotic theory for statistics of the Poisson-Voronoi approximation. Zbl 1356.60020
Thäle, Christoph; Yukich, J. E.
7
2016
Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem. Zbl 1334.60032
Schulte, Matthias; Thäle, Christoph
5
2016
A four moments theorem for gamma limits on a Poisson chaos. Zbl 1342.60028
Fissler, Tobias; Thäle, Christoph
2
2016
The mixing property of STIT tessellations revisited. Zbl 1364.60018
Deuß, Christian; Thäle, Christoph
1
2016
Malliavin-Stein method for variance-gamma approximation on Wiener space. Zbl 1328.60065
Eichelsbacher, Peter; Thäle, Christoph
25
2015
Poisson polyhedra in high dimensions. Zbl 1325.52005
Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph
12
2015
Branching random tessellations with interaction: a thermodynamic view. Zbl 1320.60035
Georgii, Hans-Otto; Schreiber, Tomasz; Thäle, Christoph
5
2015
Intersection and proximity of processes of flats. Zbl 1325.60048
Hug, Daniel; Thäle, Christoph; Weil, Wolfgang
2
2015
Moments and central limit theorems for some multivariate Poisson functionals. Zbl 1350.60020
Last, Günter; Penrose, Mathew D.; Schulte, Matthias; Thäle, Christoph
26
2014
New Berry-Esseen bounds for non-linear functionals of Poisson random measures. Zbl 1307.60066
Eichelsbacher, Peter; Thäle, Christoph
11
2014
Distances between Poisson \(k\)-flats. Zbl 1319.60018
Schulte, Matthias; Thäle, Christoph
4
2014
The character of planar tessellations which are not side-to-side. Zbl 1356.52010
Cowan, Richard; Thäle, Christoph
2
2014
Asymptotic shape of small cells. Zbl 1296.60018
Beermann, Mareen; Redenbach, Claudia; Thäle, Christoph
1
2014
Gamma limits and \(U\)-statistics on the Poisson space. Zbl 1277.60052
Peccati, Giovanni; Thäle, Christoph
11
2013
Limit theorems for iteration stable tessellations. Zbl 1279.60025
Schreiber, Tomasz; Thäle, Christoph
9
2013
Geometry of iteration stable tessellations: connection with Poisson hyperplanes. Zbl 1291.60021
Schreiber, Tomasz; Thäle, Christoph
7
2013
Second-order comparison of three fundamental tessellation models. Zbl 1440.60013
Redenbach, Claudia; Thäle, Christoph
4
2013
On the arrangement of cells in planar STIT and Poisson line tessellations. Zbl 1274.60031
Redenbach, Claudia; Thäle, Christoph
3
2013
The combinatorial structure of spatial STIT tessellations. Zbl 1283.60018
Thäle, Christoph; Weiß, Viola
2
2013
Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets. Zbl 1277.28010
Freiberg, Uta; Thäle, Christoph
2
2013
Shape-driven nested Markov tessellations. Zbl 1291.60022
Schreiber, Tomasz; Thäle, Christoph
2
2013
The scaling limit of Poisson-driven order statistics with applications in geometric probability. Zbl 1262.60031
Schulte, Matthias; Thäle, Christoph
15
2012
Second-order theory for iteration stable tessellations. Zbl 1270.60019
Schreiber, Tomasz; Thäle, Christoph
9
2012
Spatial STIT tessellations: distributional results for I-segments. Zbl 1262.60015
Thäle, Christoph; Weiss, Viola; Nagel, Werner
5
2012
Intrinsic volumes of the maximal polytope process in higher dimensional STIT tessellations. Zbl 1227.60015
Schreiber, Tomasz; Thäle, Christoph
10
2011
Arak-Clifford-Surgailis tessellations. Basic properties and variance of the total edge length. Zbl 1291.60023
Thäle, Christoph
2
2011
Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane. Zbl 1221.60008
Schreiber, Tomasz; Thäle, Christoph
14
2010
New mean values for homogeneous spatial tessellations that are stable under iteration. Zbl 1215.60008
Thäle, Christoph; Weiss, Viola
7
2010
The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT tessellations. Zbl 1224.60015
Thäle, Christoph
5
2010
Further remarks on mixed fractional Brownian motion. Zbl 1200.60032
Thäle, Christoph
9
2009
50 years sets with positive reach – a survey. Zbl 1173.49039
Thäle, Christoph
27
2008
all top 5

Cited by 264 Authors

57 Thäle, Christoph
25 Kabluchko, Zakhar A.
21 Prochno, Joscha
15 Gaunt, Robert Edward
14 Schulte, Matthias
11 Peccati, Giovanni
7 Azmoodeh, Ehsan
6 Nagel, Werner
6 Reitzner, Matthias
6 Schreiber, Tomasz
6 Weiß, Viola
5 Chenavier, Nicolas
5 Hug, Daniel
5 Temesvari, Daniel
4 Alonso-Gutiérrez, David
4 Biermé, Hermine
4 Cholaquidis, Alejandro
4 Döbler, Christian
4 Grote, Julian
4 Gusakova, Anna Grigorevna
4 Last, Günter
4 Lautensack Redenbach, Claudia
4 Owada, Takashi
4 Poly, Guillaume
4 Privault, Nicolas
4 Serafin, Grzegorz
4 Turchi, Nicola
3 Aaron, Catherine
3 Beneš, Viktor
3 Besau, Florian
3 Bonnet, Gilles
3 Brunel, Victor-Emmanuel
3 Calka, Pierre
3 Cowan, Richard J.
3 Di Bernardino, Elena
3 Eichelsbacher, Peter
3 Fraiman, Ricardo
3 Grygierek, Jens
3 Heinrich, Lothar
3 Hirsch, Christian
3 Johnston, Samuel G. G.
3 Swan, Yvik C.
3 Večeřa, Jakub
3 Werner, Elisabeth M.
3 Yukich, Joseph Elliott
2 Arras, Benjamin
2 Baci, Anastas
2 Bourguin, Solesne
2 Chasapis, Giorgos
2 Chen, Wenting
2 Decreusefond, Laurent
2 Desolneux, Agnès
2 Durastanti, Claudio
2 Estrade, Anne
2 Fodor, Ferenc
2 Geiss, Christel
2 Glaunès, Joan Alexis
2 Gloaguen, Catherine
2 Hinrichs, Aicke
2 Hörrmann, Julia
2 Jiang, Hui
2 Kaufmann, Tom
2 Kim, Steven Soojin
2 Knichel, Lukas
2 Labart, Céline
2 Lachièze-Rey, Raphaël
2 Marinucci, Domenico
2 Marynych, Alexander V.
2 Neuhäuser, David Werner
2 Nourdin, Ivan
2 O’Reilly, Eliza
2 Penrose, Mathew D.
2 Pianoforte, Federico
2 Röllin, Adrian
2 Rossi, Maurizia
2 Roussillon, Pierre
2 Sambale, Holger
2 Schmidt, Volker
2 Simone, Rosaria
2 Strzelecki, Michał
2 Vidotto, Anna
2 Vígh, Viktor
2 Vybíral, Jan
2 Weil, Wolfgang
2 Wespi, Florian
2 Yogeshwaran, Dhandapani
2 Zaporozhets, Dmitry
2 Zheng, Guangqu
1 Abaach, Mariem
1 Abardia, Judit
1 Abdeldjebbar, Kandouci
1 Adamczak, Radosław
1 Adams, Henry
1 Adler, Robert Joseph
1 Adly, Samir
1 Akinwande, Grace Itunuoluwa
1 Aldous, David John
1 Alonso-Marroquin, Fernando
1 Angiuli, Luciana
1 Antasik, Aleksander
...and 164 more Authors
all top 5

Cited in 87 Serials

15 Stochastic Processes and their Applications
14 Electronic Journal of Probability
13 Bernoulli
11 Advances in Applied Probability
10 Journal of Mathematical Analysis and Applications
8 The Annals of Applied Probability
7 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 The Annals of Probability
6 Proceedings of the American Mathematical Society
6 Journal of Theoretical Probability
6 Electronic Journal of Statistics
5 Advances in Applied Mathematics
5 Probability Theory and Related Fields
5 Discrete & Computational Geometry
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Methodology and Computing in Applied Probability
5 Stochastics
4 Physica A
4 Journal of Applied Probability
4 Journal of Functional Analysis
4 Mathematische Nachrichten
4 Results in Mathematics
4 Journal of Complexity
3 Journal of Statistical Physics
3 Studia Mathematica
3 Advances in Mathematics
3 Journal of Approximation Theory
3 Transactions of the American Mathematical Society
3 Statistics & Probability Letters
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Extremes
3 Annales Henri Lebesgue
2 Israel Journal of Mathematics
2 Journal of Computational and Applied Mathematics
2 Mathematische Annalen
2 Monatshefte für Mathematik
2 The Journal of Geometric Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Communications in Contemporary Mathematics
2 Brazilian Journal of Probability and Statistics
2 Oberwolfach Reports
2 Modern Stochastics. Theory and Applications
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Scandinavian Journal of Statistics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annals of the Institute of Statistical Mathematics
1 Canadian Journal of Mathematics
1 Colloquium Mathematicum
1 Commentarii Mathematici Helvetici
1 Geometriae Dedicata
1 Journal of Multivariate Analysis
1 Kybernetika
1 Manuscripta Mathematica
1 Topology and its Applications
1 Statistics
1 Statistical Science
1 Revista Matemática Iberoamericana
1 Journal of the Ramanujan Mathematical Society
1 Random Structures & Algorithms
1 Applications of Mathematics
1 Communications in Partial Differential Equations
1 Journal of Mathematical Imaging and Vision
1 Theory of Probability and Mathematical Statistics
1 Journal of Mathematical Sciences (New York)
1 Journal of Convex Analysis
1 Electronic Communications in Probability
1 Discrete and Continuous Dynamical Systems
1 Documenta Mathematica
1 Journal of Nonparametric Statistics
1 Positivity
1 International Journal of Theoretical and Applied Finance
1 Acta Mathematica Sinica. English Series
1 Stochastic Models
1 Stochastics and Dynamics
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 SIAM Journal on Imaging Sciences
1 Probability Surveys
1 Antiquitates Mathematicae
1 Random Matrices: Theory and Applications
1 Mathematics
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 EMS Surveys in Mathematical Sciences
1 Journal of Fractal Geometry
1 Research in the Mathematical Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 SIAM Journal on Mathematics of Data Science
all top 5

Cited in 38 Fields

211 Probability theory and stochastic processes (60-XX)
69 Convex and discrete geometry (52-XX)
40 Statistics (62-XX)
24 Functional analysis (46-XX)
23 Combinatorics (05-XX)
14 Real functions (26-XX)
13 Differential geometry (53-XX)
10 Measure and integration (28-XX)
10 Numerical analysis (65-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Algebraic topology (55-XX)
8 Special functions (33-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Computer science (68-XX)
6 Operator theory (47-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Geometry (51-XX)
3 Partial differential equations (35-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Potential theory (31-XX)
2 General topology (54-XX)
1 History and biography (01-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year