4 papers
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…
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…
WalkSAT is linear on random 2-SAT
Petra Berenbrink, Amin Coja-Oghlan, Colin Cooper +3
In an influential article Papadimitriou [FOCS 1991] proved that a local search algorithm called WalkSAT finds a satisfying assignment of a satisfiable 2-CNF with variables in $…
The number of random 2-SAT solutions is asymptotically log-normal
Arnab Chatterjee, Amin Coja-Oghlan, Noela Müller +4
We prove that throughout the satisfiable phase, the logarithm of the number of satisfying assignments of a random 2-SAT formula satisfies a central limit theorem. This implies that…