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EXISTENCE OF MODELING LIMITS FOR SEQUENCES OF SPARSE STRUCTURES

EXISTENCE OF MODELING LIMITS FOR SEQUENCES OF SPARSE STRUCTURES

Abstract A sequence of graphs is FO-convergent if the probability of satisfaction of every first-order formula converges. A graph modeling is a graph, whose domain is a standard probability space, with the property that every definable set is Borel. It was known that FO-convergent sequence of graphs do not always …