5 papers
Fluctuations of the Ising free energy on ErdÅs-Rényi graphs
Amin Coja-Oghlan, Dominik Kaaser, Maurice Rolvien +2
We investigate the ferromagnetic Ising model on the ErdÅs-Rényi random graph with bounded average degree . Specifically, we determine the limiting distr…
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…
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…
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…
The rank of sparse random matrices
Amin Coja-Oghlan, Alperen A. Ergür, Pu Gao +2
We determine the rank of a random matrix over an arbitrary field with prescribed numbers of non-zero entries in each row and column. As an application we obtain a formula for the r…