14 citations · 162 across the 52 of their papers we have counts for
56 papers
Domino tilings beyond 2D
Caroline J. Klivans, Nicolau C. Saldanha
There is a rich history of domino tilings in two dimensions. Through a variety of techniques we can answer questions such as: how many tilings are there of a given region or what d…
Stability of compact actions and a result on divided differences
Carlos Gustavo Moreira, Nicolau C. Saldanha
We study smooth locally free actions of on manifolds of dimension . We are interested in compact orbits and in compact actions: actions with all orbits com…
Relative Helicity and Tiling Twist
Boris Khesin, Nicolau C. Saldanha
We consider domino tilings of 3D cubiculated regions. The tilings have two invariants, flux and twist, often integer-valued, which are given in purely combinatorial terms. These in…
Slab tilings, flips and the triple twist
George L. D. Alencar, Nicolau C. Saldanha, Arthur M. M. Vieira
A \textit{domino} is a parallelepiped formed by the union of two unit cubes and a \textit{slab} is a parallelepiped formed by the union of f…
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum
Ricardo S. Leite, Nicolau C. Saldanha, David Martínez Torres +1
We consider different phase spaces for the Toda flows and the less familiar SVD flows. For the Toda flow, we handle symmetric and non-symmetric matrices with real simple eigenvalue…
Higher dimensional versions of theorems of Euler and Fuss
Peter Gibson, Nicolau Saldanha, Carlos Tomei
We present higher dimensional versions of the classical results of Euler and Fuss, both of which are special cases of the celebrated Poncelet porism. Our results concern polytopes,…