Vichien Fugsukjit

Gaps in dilates of Bose sets, moments of dilated Singer sets, and the excess in Erdős's Sidon problem: numerical evidence

Let h(N) be the maximal size of a Sidon set in {1,...,N}. Erdős asked whether h(N) = N^{1/2} + O(1) (Guy C9); the weaker question h(N) = N^{1/2} + O(N^ε) is Erdős problem #30, and the evidence here concerns the O(1) question only. Following a dilation idea, we study the largest c...

Benchmarking a whole-brain connectome model of Drosophila against experimental data: diagnosing knockout-prediction failures and a candidate excitatory role for the water-taste neuron Usnea

Connectome-constrained whole-brain models are increasingly used to predict which neurons control behaviour, including through in-silico knockout screens. We re-implemented the leaky integrate-and-fire (LIF) model of the adult Drosophila brain (Shiu et al., 2024; FlyWire v783) and...