Outputs (197)

Congruences on direct products of transformation and matrix monoids (2018)
Journal Article
Araújo, J., Bentz, W., & Gomes, G. M. S. (2018). Congruences on direct products of transformation and matrix monoids. Semigroup Forum, 97(3), 384–416. https://doi.org/10.1007/s00233-018-9931-8

Malcev described the congruences of the monoid Tn of all full transformations on a finite set Xn={1,…,n}. Since then, congruences have been characterized in various other monoids of (partial) transformations on Xn, such as the symmetric inverse monoi... Read More about Congruences on direct products of transformation and matrix monoids.

Geometric patterns and microstructures in the study of material defects and composites (2018)
Thesis
Fanzon, S. Geometric patterns and microstructures in the study of material defects and composites. (Thesis). https://hull-repository.worktribe.com/output/4271050

The main focus of this PhD thesis is the study of microstructures and geometric patterns in materials, in the framework of the Calculus of Variations. My PhD research, carried out in collaboration with my supervisor Mariapia Palombaro and Marcello Po... Read More about Geometric patterns and microstructures in the study of material defects and composites.

Speculative bubbles or explosive fundamentals in stock prices? New evidence from SADF and GSADF tests (2018)
Journal Article
El Montasser, G., Naoui, K., & Fry, J. (2018). Speculative bubbles or explosive fundamentals in stock prices? New evidence from SADF and GSADF tests. Journal of Statistics and Management Systems, 21(1), 93-106. https://doi.org/10.1080/09720510.2017.1401799

This paper uses recently developed sequential ADF tests to distinguish between rational speculative bubbles and explosive fundamentals in the US Stock market. The sequential ADF tests are shown to be more sensitive than the conventional ADF test. Res... Read More about Speculative bubbles or explosive fundamentals in stock prices? New evidence from SADF and GSADF tests.

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.