The $β$-Delaunay tessellation IV: Mixing properties and central limit theorems

Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2023)

In: Stochastics and Dynamics, 23(3), 2350021. doi:10.1142/S0219493723500211

Research article (journal) | Peer reviewed | Published

Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks

Kabluchko, Zakhar; Marynych, Alexander (2022)

In: Probability Theory and Related Fields, 184(3-4), 969-1028. doi:10.1007/s00440-022-01146-9

Research article (journal) | Peer reviewed | Published

The $β$-Delaunay tessellation: Description of the model and geometry of typical cells

Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2022)

In: Advances in Applied Probability, 54(4), 1254-1290. doi:10.1017/apr.2022.6

Research article (journal) | Peer reviewed | Published

The $β$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions

Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2022)

In: Latin American Journal of Probability and Mathematical Statistics, 19, 23-50. doi:10.30757/ALEA.v19-02

Research article (journal) | Peer reviewed | Published

Asymptotic normality for random simplices and convex bodies in high dimensions

Alonso-Gutiérrez D, Besau F, Grote J, Kabluchko Z, Reitzner M, Thäle C, Vritsiou B, Werner E (2021)

In: Proceedings of the American Mathematical Society, 149(1), 355-367. doi:10.1090/proc/15232

Research article (journal) | Peer reviewed | Published

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Sectional Voronoi tessellations: Characterization and high-dimensional limits Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2024) In: Bernoulli, 30(2), 1482-1501. doi:10.3150/23-BEJ1641 Research article (journal) \| Peer reviewed \| Published
The $β$-Delaunay tessellation IV: Mixing properties and central limit theorems Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2023) In: Stochastics and Dynamics, 23(3), 2350021. doi:10.1142/S0219493723500211 Research article (journal) \| Peer reviewed \| Published
When does the chaos in the Curie-Weiss model stop to propagate? Jalowy, Jonas; Kabluchko, Zakhar; Löwe, Matthias; Marynych, Alexander (2023) In: Electronic Journal of Probability, 28, 1-17. doi:10.1214/23-ejp1039 Research article (journal) \| Peer reviewed \| Published
Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks Kabluchko, Zakhar; Marynych, Alexander (2022) In: Probability Theory and Related Fields, 184(3-4), 969-1028. doi:10.1007/s00440-022-01146-9 Research article (journal) \| Peer reviewed \| Published
Beta-star polytopes and hyperbolic stochastic geometry Godland, Thomas; Kabluchko, Zakhar; Thäle, Christoph (2022) In: Advances in Mathematics, 404(A), 108382. doi:10.1016/j.aim.2022.108382 Research article (journal) \| Peer reviewed \| Published
The $β$-Delaunay tessellation: Description of the model and geometry of typical cells Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2022) In: Advances in Applied Probability, 54(4), 1254-1290. doi:10.1017/apr.2022.6 Research article (journal) \| Peer reviewed \| Published
The $β$-Delaunay tessellation II: The Gaussian limit tessellation Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2022) In: Electronic Journal of Probability, 27, 1-33. doi:10.1214/22-EJP782 Research article (journal) \| Published
The $β$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph (2022) In: Latin American Journal of Probability and Mathematical Statistics, 19, 23-50. doi:10.30757/ALEA.v19-02 Research article (journal) \| Peer reviewed \| Published
Fluctuations of the magnetization for Ising models on Erdos-Rényi random graphs — the regimes of low temperature and external magnetic field Kabluchko, Zakhar; Löwe, Matthias; Schubert, Kristina (2022) In: Latin American Journal of Probability and Mathematical Statistics, 19, 537-563. doi:10.30757/alea.v19-21 Research article (journal) \| Peer reviewed \| Published
Asymptotic normality for random simplices and convex bodies in high dimensions Alonso-Gutiérrez D, Besau F, Grote J, Kabluchko Z, Reitzner M, Thäle C, Vritsiou B, Werner E (2021) In: Proceedings of the American Mathematical Society, 149(1), 355-367. doi:10.1090/proc/15232 Research article (journal) \| Peer reviewed \| Published