Outputs (181)

Orbits of primitive k-homogenous groups on (N − k)-partitions with applications to semigroups (2017)
Journal Article
Araújo, J., Bentz, W., & Cameron, P. J. (2018). Orbits of primitive k-homogenous groups on (N − k)-partitions with applications to semigroups. Transactions of the American Mathematical Society, 371(1), 105-136. https://doi.org/10.1090/tran/7274

© 2018 American Mathematical Society. The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of minimal generating sets. In order to do this, we exa... Read More about Orbits of primitive k-homogenous groups on (N − k)-partitions with applications to semigroups.

The Birman exact sequence for 3--manifolds (2017)
Journal Article
Banks, J. (2017). The Birman exact sequence for 3--manifolds. Bulletin of the London Mathematical Society, 49(4), 604-629. https://doi.org/10.1112/blms.12051

We study the Birman exact sequence for compact 3–manifolds, obtaining a complete picture of the relationship between the mapping class group of the manifold and the mapping class group of the submanifold obtained by deleting an interior point. This c... Read More about The Birman exact sequence for 3--manifolds.

On the expectation of operator norms of random matrices (2017)
Book Chapter
Guédon, O., Hinrichs, A., Litvak, A. E., & Prochno, J. (2017). On the expectation of operator norms of random matrices. In Lecture Notes in Mathematics; Geometric Aspects of Functional Analysis (151-162). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-45282-1_10

We prove estimates for the expected value of operator norms of Gaussian random matrices with independent (but not necessarily identically distributed) and centered entries, acting as operators from ℓnp∗ to ℓ q m , 1 ≤ p∗ ≤ 2 ≤ q  Read More about On the expectation of operator norms of random matrices.

On the geometry of projective tensor products (2017)
Journal Article
Giladi, O., Prochno, J., Schütt, C., Tomczak-Jaegermann, N., & Werner, E. (2017). On the geometry of projective tensor products. Journal of functional analysis, 273(2), 471-495. https://doi.org/10.1016/j.jfa.2017.03.019

© 2017 Elsevier Inc. In this work, we study the volume ratio of the projective tensor products ℓpn⊗πℓqn⊗πℓrnwith 1≤p≤q≤r≤∞. We obtain asymptotic formulas that are sharp in almost all cases. As a consequence of our estimates, these spaces allow for a... Read More about On the geometry of projective tensor products.

The non-Gaussian tops and tails of diffusing boomerangs (2017)
Journal Article
Koens, L., Lisicki, M., & Lauga, E. (2017). The non-Gaussian tops and tails of diffusing boomerangs. Soft matter, 13(16), 2977-2982. https://doi.org/10.1039/c6sm02649d

Experiments involving the two-dimensional passive diffusion of colloidal boomerangs tracked off their centre of mobility have shown striking non-Gaussian tails in their probability distribution function [Chakrabarty et al., Soft Matter, 2016, 12, 431... Read More about The non-Gaussian tops and tails of diffusing boomerangs.

Ice formation within a thin film flowing over a flat plate (2017)
Journal Article
Moore, M. R., Mughal, M. S., & Papageorgiou, D. T. (2017). Ice formation within a thin film flowing over a flat plate. Journal of Fluid Mechanics, 817, 455-489. https://doi.org/10.1017/jfm.2017.100

We present a model for ice formation in a thin, viscous liquid film driven by a Blasius boundary layer after heating is switched off along part of the flat plate. The flow is assumed to initially be in the Nelson et al. (J. Fluid Mech., vol. 284, 199... Read More about Ice formation within a thin film flowing over a flat plate.

On the isotropic constant of random polytopes with vertices on an ℓp-Sphere (2017)
Journal Article
Hörrmann, J., Prochno, J., & Thäle, C. (2018). On the isotropic constant of random polytopes with vertices on an ℓp-Sphere. The Journal of geometric analysis, 28(1), 405-426. https://doi.org/10.1007/s12220-017-9826-z

The symmetric convex hull of random points that are independent and distributed according to the cone probability measure on the p-unit sphere of Rn for some 1 ≤ p < ∞ is considered. We prove that these random polytopes have uniformly absolutely boun... Read More about On the isotropic constant of random polytopes with vertices on an ℓp-Sphere.

Automorphism groups of circulant digraphs with applications to semigroup theory (2017)
Journal Article
Araújo, J., Bentz, W., Dobson, E., Konieczny, J., & Morris, J. (2018). Automorphism groups of circulant digraphs with applications to semigroup theory. Combinatorica, 38(1), 1-28. https://doi.org/10.1007/s00493-016-3403-0

We characterize the automorphism groups of circulant digraphs whose connection sets are relatively small, and of unit circulant digraphs. For each class, we either explicitly determine the automorphism group or we show that the graph is a "normal" ci... Read More about Automorphism groups of circulant digraphs with applications to semigroup theory.

On the geometry of random convex sets between polytopes and zonotopes (2017)
Journal Article
Alonso-Gutiérrez, D., & Prochno, J. (2017). On the geometry of random convex sets between polytopes and zonotopes. Journal of mathematical analysis and applications, 450(1), 670-690. https://doi.org/10.1016/j.jmaa.2017.01.042

In this work we study a class of random convex sets that "interpolate" between polytopes and zonotopes. These sets arise from considering a qth-moment (q≥1) of an average of order statistics of 1-dimensional marginals of a sequence of N≥n independent... Read More about On the geometry of random convex sets between polytopes and zonotopes.

Mean width of random perturbations of random polytopes (2017)
Journal Article
Alonso-Gutiérrez, D., & Prochno, J. (2017). Mean width of random perturbations of random polytopes. Advances in geometry, 17(1), 75-90. https://doi.org/10.1515/advgeom-2016-0032

We prove some “high probability” results on the expected value of the mean width for random perturbations of random polytopes. The random perturbations are considered for Gaussian random vectors and uniform distributions on ℓNp-balls and the unit sph... Read More about Mean width of random perturbations of random polytopes.