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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.

The likelihood interpretation of fuzzy data (2016)
Journal Article
Cattaneo, M. E. G. V. (2017). The likelihood interpretation of fuzzy data. Advances in Intelligent Systems and Computing, 456, 113-120. https://doi.org/10.1007/978-3-319-42972-4_14

© Springer International Publishing Switzerland 2017. The interpretation of degrees of membership as statistical likelihood is probably the oldest interpretation of fuzzy sets. It allows in particular to easily incorporate fuzzy data and fuzzy infere... Read More about The likelihood interpretation of fuzzy data.

Testing of coarsening mechanisms: Coarsening at random versus subgroup independence (2016)
Journal Article
Cattaneo, M. E. G. V., Augustin, T., Plass, J., & Schollmeyer, G. (2017). Testing of coarsening mechanisms: Coarsening at random versus subgroup independence. Advances in Intelligent Systems and Computing, 456, 415-422. https://doi.org/10.1007/978-3-319-42972-4_51

Abstract Since coarse(ned) data naturally induce set-valued estimators, analysts often assume coarsening at random (CAR) to force them to be single-valued. Using the PASS data as an example, we re-illustrate the impossibility to test CAR and contrast... Read More about Testing of coarsening mechanisms: Coarsening at random versus subgroup independence.

Transverse fracture properties of green wood and the anatomy of six temperate tree species (2016)
Journal Article
Özden, S., Ennos, A. R., & Cattaneo, M. E. (2017). Transverse fracture properties of green wood and the anatomy of six temperate tree species. Forestry, 90(1), 58-69. https://doi.org/10.1093/forestry/cpw023

© Institute of Chartered Foresters, 2016. All rights reserved. The aim of this study was to investigate the effect of wood anatomy and density on the mechanics of fracture when wood is split in the radial-longitudinal (RL) and tangential-longitudinal... Read More about Transverse fracture properties of green wood and the anatomy of six temperate tree species.

Estimating Averages of Order Statistics of Bivariate Functions (2016)
Journal Article
Lechner, R., Passenbrunner, M., & Prochno, J. (2017). Estimating Averages of Order Statistics of Bivariate Functions. Journal of theoretical probability, 30(4), 1445-1470. https://doi.org/10.1007/s10959-016-0702-8

© 2016, Springer Science+Business Media New York. We prove uniform estimates for the expected value of averages of order statistics of bivariate functions in terms of their largest values by a direct analysis. As an application, uniform estimates for... Read More about Estimating Averages of Order Statistics of Bivariate Functions.