most citedFirst-order convergence for -avoiding permutations

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math.PR2026★ 2 cited

First-order convergence for -avoiding permutations

Alperen Özdemir

We say that a convergence law holds for a sequence of random combinatorial objects if, for any first-order sentence , the proportion of objects satisfying converges to a l…

math.PR2024

A logical limit law for the sequential model of preferential attachment graphs

Alperen Özdemir

For a sequence of random graphs, the limit law we refer to is the existence of a limiting probability of any graph property that can be expressed in terms of predicate logic. A zer…