## Thäle, Christoph

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 Author ID: thale.christoph Published as: Thäle, Christoph; Thäle, C.; Thäle, Chr. more...less Homepage: http://www.ruhr-uni-bochum.de/ffm/Lehrstuehle/Thaele/ External Links: MGP
 Documents Indexed: 93 Publications since 2008 2 Contributions as Editor Co-Authors: 54 Co-Authors with 86 Joint Publications 727 Co-Co-Authors
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### Co-Authors

 9 single-authored 19 Kabluchko, Zakhar A. 15 Prochno, Joscha 8 Schulte, Matthias 7 Schreiber, Tomasz 6 Grote, Julian 6 Gusakova, Anna Grigorevna 4 Alonso-Gutiérrez, David 4 Hug, Daniel 4 Temesvari, Daniel 4 Turchi, Nicola 4 Weiß, Viola 4 Werner, Elisabeth M. 3 Baci, Anastas 3 Besau, Florian 3 Bonnet, Gilles 3 Eichelsbacher, Peter 3 Hörrmann, Julia 3 Krokowski, Kai 3 Lautensack Redenbach, Claudia 3 Reitzner, Matthias 2 Azmoodeh, Ehsan 2 Betken, Carina 2 Deuß, Christian 2 Freiberg, Uta Renata 2 Nagel, Werner 2 Reichenbachs, Anselm 2 Wespi, Florian 2 Zaporozhets, Dmitry 1 Bárány, Imre 1 Basse-O’Connor, Andreas 1 Beermann, Mareen 1 Cowan, Richard J. 1 Decreusefond, Laurent 1 Fissler, Tobias 1 Gassner, E.-M. 1 Georgii, Hans-Otto 1 Godland, Thomas 1 Grygierek, Jens 1 Herold, Felix 1 Hinrichs, Aicke 1 Kaufmann, Tom 1 Last, Günter 1 Ljungdahl, Mathias Mørck 1 Marynych, Alexander V. 1 Peccati, Giovanni 1 Penrose, Mathew D. 1 Petri, Bram 1 Podolskij, Mark 1 Rosen, Daniel 1 Sambale, Holger 1 Sonnleitner, Mathias 1 Vritsiou, Beatrice-Helen 1 Weil, Wolfgang 1 Yukich, Joseph Elliott
all top 5

### 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
all top 5

### Fields

 91 Probability theory and stochastic processes (60-XX) 50 Convex and discrete geometry (52-XX) 10 Differential geometry (53-XX) 7 Combinatorics (05-XX) 6 Functional analysis (46-XX) 5 Statistics (62-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Geometry (51-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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