2 citations · 2 across the 6 of their papers we have counts for
7 papers
On the distortion of random triangulations
Jason Miller, Julian Ransford, Fredy Yip
For each , let be a uniformly random (rooted, Type I) triangulation of the sphere with vertices, viewed as a metric space equipped with its graph distan…
Product-free subsets of
Leonardo Franchi, W. T. Gowers, Fredy Yip
The third problem in Ben Green's collection of 100 open problems asks whether an open subset of that does not contain with must have measure at most 1/3. We…
Multivariate and quantitative Erdős-Kac laws for Beatty sequences
Fredy Yip
The classical Erdős-Kac theorem states that for chosen uniformly at random from , the random variable converges in distribu…
On a problem of Erdős and Ingham
Fredy Yip
We give a short and elementary argument answering a question of Erdős and Ingham negatively. Erdős and Ingham showed that a Tauberian estimate they considered was equivalent to the…
Combinatorial foundations for solvable chaotic local Euclidean quantum circuits in two dimensions
Fredy Yip
We investigate a graph-theoretic problem motivated by questions in quantum computing concerning the propagation of information in quantum circuits. A graph is said to be a boun…
On the sum of the largest and smallest eigenvalues of graphs with high odd girth
Fredy Yip
The sum of the maximum and minimum eigenvalues, and the odd girth of a graph both measure bipartiteness. We seek to relate these measures. In particular, for an odd int…
General characterisation of Hamiltonians generating velocity-independent forces
Fredy Yip, A. C. H. Cheung
Dynamics generated from Hamiltonians enjoy potential pathways to quantisation, but standard Hamiltonians are only capable of generating conservative forces. Classes of Hamiltonians…