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Analytical solutions to slender-ribbon theory (2017)
Journal Article
Koens, L., & Lauga, E. (2017). Analytical solutions to slender-ribbon theory. Physical Review Fluids, 2(8), Article 084101. https://doi.org/10.1103/PhysRevFluids.2.084101

The low-Reynolds-number hydrodynamics of slender ribbons is accurately captured by slender-ribbon theory, an asymptotic solution to the Stokes equation which assumes that the three length scales characterizing the ribbons are well separated. We show... Read More about Analytical solutions to slender-ribbon theory.

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 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.

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.

Primitive groups, graph endomorphisms and synchronization (2016)
Journal Article
Aroújo, J., Bentz, W., Cameron, P. J., Royle, G., & Schaefer, A. (2016). Primitive groups, graph endomorphisms and synchronization. Proceedings of the London Mathematical Society, 113(6), 829-867. https://doi.org/10.1112/plms/pdw040

© 2016 London Mathematical Society. Let Ω be a set of cardinality n, G be a permutation group on Ω and f : Ω → Ω be a map that is not a permutation. We say that G synchronizes f if the transformation semigroup 〈G, f〉 contains a constant map, and th... Read More about Primitive groups, graph endomorphisms and synchronization.

Hydrodynamic interactions between nearby slender filaments (2016)
Journal Article
Man, Y., Koens, L., & Lauga, E. (2016). Hydrodynamic interactions between nearby slender filaments. Europhysics Letters, 116(2), Article 24002. https://doi.org/10.1209/0295-5075/116/24002

Cellular biology abound with filaments interacting through fluids, from intracellular microtubules, to rotating flagella and beating cilia. While previous work has demonstrated the complexity of capturing nonlocal hydrodynamic interactions between mo... Read More about Hydrodynamic interactions between nearby slender filaments.

Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs (2016)
Journal Article
Dommers, S., Giardinà, C., Giberti, C., van der Hofstad, R., & Prioriello, M. L. (2016). Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs. Communications in mathematical physics, 348(1), 221-263. https://doi.org/10.1007/s00220-016-2752-2

We study the critical behavior for inhomogeneous versions of the Curie-Weiss model, where the coupling constant Jij(β) for the edge ij on the complete graph is given by Jij(β)=βwiwj/(∑k∈[N]wk) . We call the product form of these couplings the... Read More about Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs.

Conditional probability estimation (2016)
Journal Article
Cattaneo, M. (2016). Conditional probability estimation. Proceedings of Machine Learning Research, 52, 86-97

This paper studies in particular an aspect of the estimation of conditional probability distributions by maximum likelihood that seems to have been overlooked in the literature on Bayesian networks: The information conveyed by the conditioning event... Read More about Conditional probability estimation.

Directed graphs of inner translations of semigroups (2016)
Journal Article
Araújo, J., Bentz, W., & Konieczny, J. (2017). Directed graphs of inner translations of semigroups. Semigroup Forum, 94(3), 650-673. https://doi.org/10.1007/s00233-016-9821-x

A mapping α: S → S is called a Cayley function if there exist an associative operation µ: S x S → S and an element a ϵ S such that α(x) = µ(a, x) for every x ϵ S. The aim of the paper is to give a characterization of Cayley functions in terms of thei... Read More about Directed graphs of inner translations of semigroups.

Inflation model building with an accurate measure of e-folding (2016)
Journal Article
Chongchitnan, S. (2016). Inflation model building with an accurate measure of e-folding. Physical Review D, 94(4), Article 043526. https://doi.org/10.1103/PhysRevD.94.043526

It has become standard practice to take the logarithmic growth of the scale factor as a measure of the amount of inflation, despite the well-known fact that this is only an approximation for the true amount of inflation required to solve the horizon... Read More about Inflation model building with an accurate measure of e-folding.