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Microscale flow dynamics of ribbons and sheets (2017)
Journal Article
Montenegro-Johnson, T. D., Koens, L., & Lauga, E. (2017). Microscale flow dynamics of ribbons and sheets. Soft matter, 13(3), 546-553. https://doi.org/10.1039/c6sm02105k

Numerical study of the hydrodynamics of thin sheets and ribbons presents difficulties associated with resolving multiple length scales. To circumvent these difficulties, asymptotic methods have been developed to describe the dynamics of slender fibre... Read More about Microscale flow dynamics of ribbons and sheets.

High-dimensional limit theorems for random vectors in ℓpn-balls (2017)
Journal Article
Kabluchko, Z., Prochno, J., & Thäle, C. (2019). High-dimensional limit theorems for random vectors in ℓpn-balls. Communications in contemporary mathematics, 21(1), 1750092. https://doi.org/10.1142/S0219199717500924

In this paper, we prove a multivariate central limit theorem for ℓq-norms of high-dimensional random vectors that are chosen uniformly at random in an ℓnp-ball. As a consequence, we provide several applications on the intersections of ℓnp-balls in th... Read More about High-dimensional limit theorems for random vectors in ℓpn-balls.

On the testability of coarsening assumptions: a hypothesis test for subgroup independence (2017)
Journal Article
Plass, J., Cattaneo, M., Schollmeyer, G., & Augustin, T. (2017). On the testability of coarsening assumptions: a hypothesis test for subgroup independence. International Journal of Approximate Reasoning, 90, 292-306. https://doi.org/10.1016/j.ijar.2017.07.014

Since coarse(ned) data naturally induce set-valued estimators, analysts often assume coarsening at random (CAR) to force them to be single-valued. Focusing on a coarse categorical response variable and a precisely observed categorical covariate, we r... Read More about On the testability of coarsening assumptions: a hypothesis test for subgroup independence.

Metastability in the reversible inclusion process (2017)
Journal Article
Bianchi, A., Dommers, S., & Giardinà, C. (2017). Metastability in the reversible inclusion process. Electronic journal of probability, 22, Article 70. https://doi.org/10.1214/17-EJP98

We study the condensation regime of the finite reversible inclusion process, i.e., the inclusion process on a finite graph S with an underlying random walk that admits a reversible measure. We assume that the random walk kernel is irreducible and its... Read More about Metastability in the reversible inclusion process.

The likelihood interpretation as the foundation of fuzzy set theory (2017)
Journal Article
Cattaneo, M. E. G. V. (2017). The likelihood interpretation as the foundation of fuzzy set theory. International Journal of Approximate Reasoning, 90, 333-340. https://doi.org/10.1016/j.ijar.2017.08.006

In order to use fuzzy sets in real-world applications, an interpretation for the values of membership functions is needed. The history of fuzzy set theory shows that the interpretation in terms of statistical likelihood is very natural, although the... Read More about The likelihood interpretation as the foundation of fuzzy set theory.

Zariski density and computing in arithmetic groups (2017)
Journal Article
Detinko, A., Flannery, D. L., & Hulpke, A. (2018). Zariski density and computing in arithmetic groups. Mathematics of Computation, 87(310), 967-986. https://doi.org/10.1090/mcom/3236

For n > 2, let Gamma _n denote either SL(n, {Z}) or Sp(n, {Z}). We give a practical algorithm to compute the level of the maximal principal congruence subgroup in an arithmetic group H\leq \Gamma _n. This forms the main component of our methods for c... Read More about Zariski density and computing in arithmetic groups.

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.