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6 papers · 1 filter
Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case
Fernando P. da Costa, Maria Isavel Méndez, João T. Pinto
In the paper [Eur. J. of Appl. Math. \textbf{20}, (2009) 269--287] by da Costa et al. the twist-Fréedericksz transition in a nematic liquid crystal one-dimensional cell of lenght $…
A Construction of the Total Spherical Perspective in Ruler, Compass and Nail
António Araújo
We obtain a construction of the total spherical perspective with ruler, compass, and nail. This is a generalization of the spherical perspective of Barre and Flocon to a 360 degree…
Rates of convergence to scaling profiles in a submonolayer deposition model and the preservation of memory of the initial condition
Fernando P. da Costa, João T. Pinto, Rafael Sasportes
We establish rates of convergence of solutions to scaling (or similarity) profiles in a coagulation type system modelling submonolayer deposition. We prove that, although all memor…
Primitive groups and synchronization
João Araújo, Wolfram Bentz, Peter J. Cameron +2
Let be a set of cardinality , a permutation group on , and a map which is not a permutation. We say that \emph{synchronizes} if the transformation s…
Chaos Decomposition and Gap Renormalization of Brownian Self-Intersection Local Times
Jinky Bornales, Maria João Oliveira, Ludwig Streit
We study the chaos decomposition of self-intersection local times and their regularization, with a particular view towards Varadhan's renormalization for the planar Edwards model.
Four Notions of Conjugacy for Abstract Semigroups
J. Araújo, Michael Kinyon, Janusz Konieczny +1
The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been many attempts to find notions of c…