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Growth rate of cluster algebras

Growth rate of cluster algebras

We complete the computation of growth rate of cluster algebras.In particular, we show that growth of all exceptional non-affine mutation-finite cluster algebras is exponential.Contents 1. Introduction 1 2. Exchange matrices and diagrams 4 3. Block decompositions of diagrams 5 4. Growth of non-exceptional cluster algebras 6 5. Exceptional cluster algebras …