A Renormalization Group Approach to the Free Central Limit Theorem
| Autor: | Hamdan, Jad |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
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| Popis: | This short note presents a proof of the Free Central Limit Theorem for probability measures with finite third moment using the renormalization group approach. We construct a contractive renormalization group map over the space of probability measures with finite third moment, equipped with an R-transform-based metric which has the semi-circle distribution as a fixed point. 7 pages; (V3) Proof modified to replace compact support assumption with finite third moment assumption |
| Databáze: | OpenAIRE |
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