3 papers
math.CO2026
Fluctuations of the Ising free energy on Erdős-Rényi graphs
Amin Coja-Oghlan, Dominik Kaaser, Maurice Rolvien +2
We investigate the ferromagnetic Ising model on the Erdős-Rényi random graph with bounded average degree . Specifically, we determine the limiting distrib…
cs.DM2025
The random -SAT Gibbs uniqueness threshold revisited
Arnab Chatterjee, Amin Coja-Oghlan, Catherine Greenhill +4
We prove that for any for clause/variable ratios up to the Gibbs uniqueness threshold of the corresponding Galton-Watson tree, the number of satisfying assignments of rand…
math.CO2025
Belief Propagation Guided Decimation on Random k-XORSAT
Arnab Chatterjee, Amin Coja-Oghlan, Mihyun Kang +3
We analyse the performance of Belief Propagation Guided Decimation, a physics-inspired message passing algorithm, on the random -XORSAT problem. Specifically, we derive an expli…