• Moderate deviations on Poisson chaos
  jointly with Matthias Schulte
  Electronic Journal of Probability 29 (2024), 27 pages

• A quantitative central limit theorem for Poisson horospheres in high dimensions
  jointly with Zakhar Kabluchko and Daniel Rosen
  Electronic Communications in Probability 29 (2024)

• Spherical convex hull of random points on a wedge
  jointly with Florian Besau, Anna Gusakova, Matthias Reitzner, Carsten Schütt and Elisabeth Werner
  Mathematische Annalen 389, 2289-2316 (2024)

• Probabilistic limit theorems induced by the zeros of polynomials
  jointly with Nils Heerten and Holger Sambale
  Mathematische Nachrichten 297, 1772-1792 (2024)

• Asymptotic expected T-functionals of random polytopes with applications to Lp surface areas
  jointly with Steven Hoehner, Ben Li and Michael Roysdon
  Mathematische Nachrichten 297, 914-931 (2024)

• The proportion of triangles in a class of anisotropic Poisson line tessellations
  jointly with Nils Heerten and Julia Krecklenberg
  Journal of Applied Probability 61, 214-229 (2024)

• Sectional Voronoi tessellations: Characterization and high-dimensional limits
  jointly with Anna Gusakova and Zakhar Kabluchko
  Bernoulli 30, 1482-1501 (2024)

• Approaching the coupon collector's problem with group drawings via Stein's method
  jointly with Carina Betken
  Journal of Applied Probability 60, 1352-1366 (2023)
  This paper is also part of the Applied Probability Collection on Stein's Method.

• Intersections of Poisson k-flats in constant curvature spaces
  jointly with Carina Betken and Daniel Hug
  Stochastic Processes and their Applications 165, 96-129 (2023)

• Large nearest neighbour balls in hyperbolic stochastic geometry
  jointly with Moritz Otto
  Extremes 26, 413-431 (2023)

• Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon
  jointly with Anna Gusakova and Matthias Reitzner
  Annales Henri Lebesgue 6, 875-906 (2023)

• The volume of random simplices from elliptical distributions in high dimension
  jointly with Anna Gusakova and Johannes Heiny
  Stochastic Processes and their Applications 164, 357-382 (2023)

• The β-Delaunay tessellation IV: Mixing properties and central limit theorems
  jointly with Anna Gusakova and Zakhar Kabluchko
  Stochastics and Dynamics 23 (2023), article 2350021, 38 pages

• Second-order properties for planar Mondrian tessellations
  jointly with Carina Betken, Tom Kaufmann and Kathrin Meier
  Methodology and Computing in Applied Probability 25 (2023), article 47, 28 pages

• A simplified second-order Gaussian Poincaré inequality in discrete setting with applications
  jointly with Peter Eichelsbacher, Benedikt Rednoß and Guangqu Zheng
  Annales de l’Institut Henri Poincaré, Probabilité et Statistique 59, 271-302 (2023)

• Large deviations for uniform projections of p-radial distributions on ℓpn-balls
  jointly with Tom Kaufmann and Holger Sambale
  Probability and Mathematical Statistics 42, 303-317 (2022)

• The β-Delaunay tessellation I: Description of the model and geometry of typical cells
  jointly with Anna Gusakova and Zakhar Kabluchko
  Advances in Applied Probability 54, 1252-1290 (2022)

• Limit theorems for random points in a simplex
  jointly with Anastas Baci, Zakhar Kabluchko, Joscha Prochno and Mathias Sonnleitner
  Journal of Applied Probability 59, 685-701 (2022)

• Random cones in high dimensions I: Donoho-Tanner and Cover-Efron cones
  jointly with Thomas Godland and Zakhar Kabluchko
  Discrete Analysis (2022), article 5, 44 pages

• Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes
  jointly with Carina Betken and Matthias Schulte
  Electronic Journal of Probability 27 (2022), 47 pages

• Weighted p-radial distributions on Euclidean and matrix p-balls with applications to large deviations
  jointly with Tom Kaufmann
  Journal of Mathematical Analysis and Applications 515 (2022), article 126377, 41 pages

• Weak convergence of the intersection point process of Poisson hyperplanes
  jointly with Anastas Baci and Gilles Bonnet
  Annales de l’Institut Henri Poincaré, Probabilité et Statistique 58, 1208-1227 (2022)

• Random cones in high dimensions II: Weyl cones
  jointly with Thomas Godland and Zakhar Kabluchko
  Mathematika 68, 710-737 (2022)

• The β-Delaunay tessellation II: The Gaussian limit tessellation
  jointly with Anna Gusakova and Zakhar Kabluchko
  Electronic Journal of Probability 27, article 62 (2022), 33 pages

• Beta-star polytopes and hyperbolic stochastic geometry
  jointly with Thomas Godland and Zakhar Kabluchko
  Advances in Mathematics 404, article 108382 (2022), 69 pages

• Optimal Variance-Gamma approximation on the second Wiener chaos
  jointly with Ehsan Azmoodehsan and Peter Eichelsbacher
  Journal of Functional Analysis 282, article 109450 (2022)

• Multi-dimensional normal approximation of heavy-tailed moving averages
  jointly with Ehsan Azmoodeh and Mathias Mørck Ljungdahl
  Stochastic Processes and their Applications 145, 308-334 (2022)

• The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions
  jointly with Anna Gusakova and Zakhar Kabluchko
  ALEA Latin American Journal of Probability and Mathematical Statistics 19, 23-50 (2022)

• A new approach to weak convergence of random cones and polytopes
  jointly with Zakhar Kabluchko and Daniel Temesvari
  Canadian Journal of Mathematics 73, 1627-1647 (2021)

• Random inscribed polytopes in projective geometries
  jointly with Florian Besau and Daniel Rosen
  Mathematische Annalen 381, 1345-1372 (2021)

• Another note on the inequality between geometric and p-generalized arithmetic mean
  Mathematische Nachrichten 294, 1977-1986 (2021)

• The typical cell of a Voronoi tessellation on the sphere
  jointly with Zakhar Kabluchko
  Discrete and Computational Geometry 66, pages 1330-1350 (2021)

• Concentration on Poisson spaces via modified Φ-Sobolev inequalities
  jointly with Anna Gusakova and Holger Sambale
  Stochastic Processes and their Applications 140, 216-235 (2021)

• Sharp inequalities for the mean distance of random points in convex bodies
  jointly with Gilles Bonnet, Anna Gusakova and Dmitry Zaporozhets
  Advances in Mathematics 386, article 107813 (2021), 27 pages

• A new look at random projections of the cube and general product measures
  jointly with Zakhar Kabluchko and Joscha Prochno
  Bernoulli 27, 2117-2138 (2021)

• Surface area deviation between smooth convex bodies and polytopes
  jointly with Julian Grote and Elisabeth Werner
  Advances in Applied Mathematics 129, article 102218 (2021), 25 pages

• Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?
  jointly with Felix Herold and Daniel Hug
  Probability Theory and Related Fields 179, 889–968 (2021)

• On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems
  jointly with Anna Gusakova
  Mathematika 67, 434-446 (2021)

• High-dimensional limit theorems for random vectors in ℓpn-balls. II
  jointly with Zakhar Kabluchko and Joscha Prochno
  Communications in Contemporary Mathematics 23, article 1950073 (2021), 35 pages

• The volume of simplices in high-dimensional Poisson-Delaunay tessellations
  jointly with Anna Gusakova
  Annales Henri Lebesgue 4, 121-153 (2021)

• Faces in random great hypersphere tessellations
  jointly with Zakhar Kabluchko
  Electronic Journal of Probability, article 3 (2021), 35 pages

• Asymptotic normality for random simplices and convex bodies in high dimensions
  jointly with David Alonso-Gutiérrez, Florian Besau, Julian Grote, Zakhar Kabluchko, Matthias Reitzner, Beatrice-Helen Vritsiou and Elisabeth Werner
  Proceedings of the American Mathematical Society 149, 355–367 (2021)

• Large deviations, moderate deviations, and the KLS conjecture
  jointly with David Alonso-Gutiérrez and Joscha Prochno
  Journal of Functional Analysis 280, article 108779 (2021), 33 pages

• Intersection of unit balls in classical matrix ensembles
  jointly with Zakhar Kabluchko and Joscha Prochno
  Israel Journal of Mathematics 239, 129–172 (2020)

• Concentration inequalities for functionals of Poisson cylinder processes
  jointly with Anastas Baci, Carina Betken and Anna Gusakova
  Electronic Journal of Probability, article 128 (2020), 27 pages

• Asymptotic normality for random polytopes in non-Euclidean geometries
  jointly with Florian Besau
  Transactions of the American Mathematical Society 373, 8911-8941 (2020)

• Beta polytopes and Poisson polyhedra: f-vectors and angles
  jointly with Zakhar Kabluchko and Dmitry Zaporozhets
  Advances in Mathematics 374, article 107333 (2020), 63 pages

• Exact asymptotic volume and volume ratio of Schatten unit balls
  jointly with Zakhar Kabluchko and Joscha Prochno
  Journal of Approximation Theory 257, article 105457 (2020), 13 pages

• Sanov-type large deviations in Schatten classes
  jointly with Zakhar Kabluchko and Joscha Prochno
  Annales de l’Institut Henri Poincaré, Probabilité et Statistique 56, 928–953 (2020)

• A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages
  jointly with Andreas Basse-O'Connor and Mark Podolskij
  Electronic Journal of Probability 25, article 31 (2020), 31 pages

• Gaussian fluctuations for edge counts in high-dimensional random geometric graphs
  jointly with Jens Grygierek
  Statistics and Probability Letters 158, 108674 (2020)

• Geometry of ℓpn-balls: Classical results and recent developments
  jointly with Joscha Prochno and Nicola Turchi
  Chapter in the book High Dimensional Probability VIII. The Oaxaca Volume (edited by N. Gozlan, R. Latala, K. Lounici and M. Madiman), Birkhäuser (2019)

• Cones generated by random points on half-spheres and convex hulls of Poisson point processes
  jointly with Zakhar Kabluchko, Alexander Marynych and Daniel Temesvari
  Probability Theory and Related Fields 175, 1021–1061 (2019)

• Gaussian fluctuations for high-dimensional random projections of ℓpn-balls
  jointly with David Alonso-Gutiérrez and Joscha Prochno
  Bernoulli 25, 3139-3174 (2019)

• The isotropic constant of random polytopes with vertices on convex surfaces
  jointly with Joscha Prochno and Nicola Turchi
  Journal of Complexity 54, article 101394 (2019)

• Splitting tessellations in spherical spaces
  jointly with Daniel Hug
  Electronic Journal of Probability 24, article 24 (2019), 60 pages

• High-dimensional limit theorems for random vectors in ℓpn-balls
  jointly with Zakhar Kabluchko and Joscha Prochno
  Communications in Contemporary Mathematics 21, article 1750092 (2019), 30 pages

• Expected intrinsic volumes and facet numbers of random beta-polytopes
  jointly with Zakhar Kabluchko and Daniel Temesvari
  Mathematische Nachrichten 292, 79-105 (2019)
  Download of the Mathematica notebooks: Random Beta-Polytopes, Random Beta'-Polytopes

• Limit theorems for random simplices in high dimensions
  jointly with Julian Grote and Zakhar Kabluchko
  ALEA Latin American Journal of Probability and Mathematical Statistics 16, 141–177 (2019)

• Poisson approximation of the length spectrum of random surfaces
  jointly with Bram Petri
  Indiana University Mathematics Journal 67, 1115-1141 (2018)

• Gaussian polytopes: a cumulant-based approach
  jointly with Julian Grote
  Journal of Complexity 47, 1-41 (2018), Best Paper Award 2018

• Central limit theorem for the volume of random polytopes with vertices on the boundary
  Discrete and Computational Geometry 59, 990-1000 (2018)

• Large deviations for high-dimensional random projections of ℓpn-balls
  jointly with David Alonso-Gutiérrez and Joscha Prochno
  Advances in Applied Mathematics 99, 1-35 (2018)

• Random polytopes: variances and central limit theorems for intrinsic volumes
  jointly with Nicola Turchi and Florian Wespi
  Proceedings of the American Mathematical Society 146, 3063–3071 (2018)

• Concentration and moderate deviations for Poisson polytopes and polyhedra
  jointly with Julian Grote
  Bernoulli 24, 2811-2841 (2018)

• Isotropic constant of random polytopes with vertices on an ℓp-sphere
  jointly with Julia Hörrmann and Joscha Prochno
  The Journal of Geometric Analysis 28, 405-426 (2018)

• Monotonicity of expected f-vectors for projections of regular polytopes
  jointly with Zakhar Kabluchko
  Proceedings of the American Mathematical Society 146, 1295-1303 (2018)

• Intrinsic volumes and Gaussian polytopes: the missing piece of the jigsaw
  jointly with Imre Bárány
  Documenta Mathematica 22, 1323-1335 (2017)

• Multivariate central limit theorems for Rademacher functionals with applications
  jointly with Kai Krokowski
  Electronic Journal of Probability 22, article 87 (2017), 30 pages

• A Mecke-type formula and Markov properties for STIT tessellation processes
  jointly with Werner Nagel, Linh Ngoc Nguyen and Viola Weiß
  ALEA Latin American Journal of Probability and Mathematical Statistics 14, 691–718 (2017)

• Monotonicity of facet numbers of random convex hulls
  jointly with Gilles Bonnet, Julian Grote, Daniel Temesvari, Nicola Turchi and Florian Wespi
  Journal of Mathematical Analysis and Applications 455, 1351-1364 (2017)

• A random cell splitting scheme on the sphere
  jointly with Julia Hörrmann and Christian Deuß
  Stochastic Processes and their Applications 127, 1544–1564 (2017)

• Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation
  jointly with Kai Krokowski and Anselm Reichenbachs
  The Annals of Probability 45, 1071-1109 (2017)

• Limit theory for the Gilbert graph
  jointly with Matthias Reitzner and Matthias Schulte
  Advances in Applied Mathematics 88, 26–61 (2017)

• Central limit theorems for the radial spanning tree
  jointly with Matthias Schulte
  Random Structures & Algorithms 50, 262–286 (2017)

• Poisson point process convergence and extreme values in stochastic geometry
  jointly with Matthias Schulte
  Chapter in the book Stochastic analysis for Poisson point processes: Malliavin calculus, Wiener-Ito chaos expansions and stochastic geometry (edited by Giovanni Peccati and Matthias Reitzner)
  Springer & Bocconi Series (2016)

• Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry
  jointly with Laurent Decreusefond and Matthias Schulte
  The Annals of Probability 44, 2147-2197 (2016)

• Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences
  jointly with Kai Krokowski and Anselm Reichenbachs
  Annales de l’Institut Henri Poincaré, Probabilité et Statistique 52, 763-803 (2016)

• Asymptotic theory for statistics of the Poisson-Voronoi approximation
  jointly with Joe Yukich
  Bernoulli 22, 2372–2400 (2016)

• A four moments theorem for Gamma limits on a Poisson chaos
  jointly with Tobias Fissler
  ALEA Latin American Journal of Probability and Mathematical Statistics 13, 163–192 (2016)
  Erratum, ALEA Latin American Journal of Probability and Mathematical Statistics 14, 245–247 (2017)

• Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem
  jointly with Matthias Schulte
  Journal of Functional Analysis 270, 2223–2248 (2016)

• The mixing property of STIT tessellations revisited
  jointly with Christian Deuß
  North-Western European Journal of Mathematics 2, 1-15 (2016)

• Malliavin-Stein method for Variance-Gamma approximation on Wiener space
  jointly with Peter Eichelsbacher
  Electronic Journal of Probability 20, article 123 (2015), 28 pages

• Branching random tessellations with interaction: a thermodynamic view
  jointly with Hans-Otto Georgii and Tomasz Schreiber
  The Annals of Probability 43, 1892-1943 (2015)

• Poisson polyhedra in high dimensions
  jointly with Julia Hörrmann, Daniel Hug and Matthias Reitzner
  Advances in Mathematics 281, 1–39 (2015)

• Intersection and proximity for processes of flats
  jointly with Daniel Hug and Wolfgang Weil
  Journal of Mathematical Analysis and Applications 426, 1–42 (2015)

• New Berry-Esseen bounds for non-linear functionals of Poisson random measures
  jointly with Peter Eichelsbacher
  Electronic Journal of Probability 19, article 102 (2014), 25 pages

• Moments and central limit theorems for some multivariate Poisson functionals
  jointly with Günter Last, Mathew D. Penrose and Matthias Schulte
  Advances in Applied Probability 46, 348-364 (2014)

• Asymptotic shape of small cells
  jointly with Mareen Beermann and Claudia Redenbach
  Mathematische Nachrichten 287, 737-747 (2014)

• Distances between Poisson k-flats
  jointly with Matthias Schulte
  Methodology and Computing in Applied Probability 16, 311-329 (2014)

• The character of planar tessellations which are not side-to-side
  jointly with Richard Cowan
  Image Analysis and Stereology 33, 39-54 (2014)

• Hausdorff dimension of visibility sets for well-behaved continuum percolation in the hyperbolic plane
  Brazilian Journal of Probability and Statistics 28, 73-82 (2014)

• Geometry of iteration stable tessellations: Connection with Poisson hyperplanes
  jointly with Tomasz Schreiber
  Bernoulli 19, 1637-1654 (2013)

• The combinatorial structure of spatial STIT tessellations
  jointly with Viola Weiß
  Discrete and Computational Geometry 50, 649-672 (2013)

• On the arrangement of cells in planar STIT and Poisson line tessellations
  jointly with Claudia Redenbach
  Methodology and Computing in Applied Probability 15, 643-654 (2013)

• Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets
  jointly with Uta Freiberg
  Methodology and Computing in Applied Probability 15, 485-509 (2013)

• Gamma limits and U-statistics on the Poisson space
  jointly with Giovanni Peccati
  ALEA Latin American Journal of Probability and Mathematical Statistics 10, 525-560 (2013)

• Shape-driven nested Markov tessellations
  jointly with Tomasz Schreiber
  Stochastics 85, 510-531 (2013)

• Limit theorems for iteration stable tessellations
  jointly with Tomasz Schreiber
  The Annals of Probability 41, 2261-2278 (2013)

• Second-order comparison of three fundamental tessellation models
  jointly with Claudia Redenbach
  Statistics 47, 237-257 (2013)

• The scaling limit of Poisson-driven order statistics with applications in geometric probability
  jointly with Matthias Schulte
  Stochastic Processes and their Applications 122, 4096-4120 (2012)

• Second-order theory for iteration stable tessellations
  jointly with Tomasz Schreiber
  Probability and Mathematical Statistics 32, 281-300 (2012)

• Spatial STIT tessellations: distributional results for I-segments
  jointly with Viola Weiß and Werner Nagel
  Advances in Applied Probability 44, 635-654 (2012)

• Arak-Clifford-Surgailis tessellations: Basic properties and variance of the total edge length
  Journal of Statistical Physics 144, 1329-1339 (2011)

• Intrinsic volumes of the maximal polytope process in higher dimensional STIT tessellations
  jointly with Tomasz Schreiber
  Stochastic Processes and their Applications 121, 989-1012 (2011)

• Supplementary results for length distributions in planar STIT tessellations
  Forma 26, 1-6 (2011)

• Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane
  jointly with Tomasz Schreiber
  Advances in Applied Probability 42, 913-935 (2010)

• New mean values for homogeneous spatial tessellations that are stable under iteration
  jointly with Viola Weiß
  Image Analysis and Stereology 29, 143-157 (2010)

• The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT tessellations
  Commentationes Mathematicae Universitis Carolinae 51, 503-512 (2010)

• Moments of the length of line segments in homogeneous planar STIT tessellations
  Image Analysis and Stereology 28, 69-76 (2009)

• A first attempt to fractal mosaics
  Proceedings of the 10th European Conference of ISS.; (V.Capasso et. al. Ed.), The MIRIAM Project Series, Vol. 4, ESCULAPIO Pub. Co., Bologna, Italy (2009)

• A Markov chain algorithm for determining crossing times through nested graphs
  jointly with Uta Freiberg
  Discrete Mathematics & Theoretical Computer Science, Proc. AI 502-522 (2008)

• A new quantitative central limit theorem on the Wiener space with applications to Gaussian processes
  jointly with Tobias Fissler

• Birth-time distributions of weighted polytopes in STIT tessellations
  jointly with Nguyen Ngoc Linh

• Exact and asymptotic results for intrinsic volumes of Poisson k-flat processes
  jointly with Matthias Schulte

David Alonso-Gutiérrez
Ehsan Azmoodeh
Anastas Baci
Andreas Basse O'Conner
Imre Bárány
Mareen Beermann
Florian Besau
Carina Betken
Gilles Bonnet
Erik Broman
Tilmann Bühler
Richard Cowan
Emil Dare
Laurent Decreusefond
Christian Deuß
Peter Eichelsbacher
Tobias Fissler
Uta Freiberg
Hans-Otto Georgii (1944-2017)
Thomas Godland
Julian Grote
Jens Grygierek
Anna Gusakova
Nils Heerten
Johannes Heiny
Felix Herold
Christian Hirsch
Steven Hoehner
Julia Hörrmann
Daniel Hug
Zakhar Kabluchko
Tom Kaufmann
Markus Kiderlen
Julia Krecklenberg
Kai Krokowski
Ben Li
Günter Last
Christoph Leuenberger
Mathias Mørck Ljungdahl
Olexander Marynych
Kathrin Meier
Werner Nagel
Nguyen Ngoc Linh
Moritz Otto
Takashi Owada
Giovanni Peccati
Mathew D. Penrose
Bram Petri
Mark Podolskij
Joscha Prochno
Claudia Redenbach
Benedikt Rednoß
Anselm Reichenbachs
Matthias Reitzner
Daniel Rosen
Michael Roysdon
Holger Sambale
Tomasz Schreiber (1975-2010)
Matthias Schulte
Carsten Schütt
Mathias Sonnleitner
Ercan Sönmez
Panagiotis Spanos
David Steigenberger
Daniel Temesvari
Vanessa Trapp
Tara Trauthwein
Philipp Tuchel
Nicola Turchi
Beatrice-Helen Vritsiou
Viola Weiß
Wolfgang Weil (1945-2018)
Elisabeth Werner
Florian Wespi
Joe Yukich
Dmitry Zaporozhets
Guangqu Zheng