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Empirical interpretation of imprecise probabilities (2017)
Journal Article
Cattaneo, M. (2017). Empirical interpretation of imprecise probabilities. Proceedings of Machine Learning Research, 62, 61-72

This paper investigates the possibility of a frequentist interpretation of imprecise probabilities, by generalizing the approach of Bernoulli’s Ars Conjectandi. That is, by studying, in the case of games of chance, under which assumptions imprecise p... Read More about Empirical interpretation of imprecise probabilities.

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). 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.

On the abundance of extreme voids II : a survey of void mass functions (2017)
Journal Article
Chongchitnan, S., & Hunt, M. (2017). On the abundance of extreme voids II : a survey of void mass functions. Journal of cosmology and astroparticle physics, 2017(03), Article 049. https://doi.org/10.1088/1475-7516/2017/03/049

The abundance of cosmic voids can be described by an analogue of halo mass functions for galaxy clusters. In this work, we explore a number of void mass functions: from those based on excursion-set theory to new mass functions obtained by modifying h... Read More about On the abundance of extreme voids II : a survey of void mass functions.

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.