4 papers
3D Koch-type crystals
Giovanni Ferrer, Alejandro Vélez-Santiago
We consider the construction of a family of -dimensional Koch-type surfaces, with a corresponding family of -dimensional Koch-type ``snowflake analogues" $\{\mathca…
Gray-categories model algebraic tricategories
Giovanni Ferrer
Lack described a Quillen model structure on the category GrayCat of Gray-categories and Gray-functors, for which the weak equivalences are the weak 3-equivalences. In this note, we…
Harmonic Gradients on Higher Dimensional Sierpinski Gaskets
Luke Brown, Giovanni Ferrer, Gamal Mograby +2
We consider criteria for the differentiability of functions with continuous Laplacian on the Sierpinski Gasket and its higher-dimensional variants , , proving results th…
Classifying Module Categories for Generalized Temperley-Lieb-Jones *-2-Categories
Giovanni Ferrer, Roberto Hernandez Palomares
Generalized Temperley-Lieb-Jones (TLJ) 2-categories associated to weighted bidirected graphs were introduced in unpublished work of Morrison and Walker. We introduce unitary module…