Renormalization-group perspective on spontaneous stochasticity
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908856209113088 |
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| author | Mailybaev, Alexei A. Moriconi, Luca |
| author_facet | Mailybaev, Alexei A. Moriconi, Luca |
| contents | We present a renormalization-group perspective on spontaneous stochasticity in hydrodynamic turbulence, viewed through the lens of multiscale dynamical systems. Building on previously established results for a solvable multiscale Arnold's cat model, we show that spontaneous stochasticity emerges as a universal fixed point of an RG transformation acting on Markov kernels, independent of the microscopic regularization. Classical examples - including the Feigenbaum equation, the central limit theorem, and hierarchical spin models - are reinterpreted within the same framework, placing spontaneous stochasticity alongside other universality phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_24221 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Renormalization-group perspective on spontaneous stochasticity Mailybaev, Alexei A. Moriconi, Luca Chaotic Dynamics We present a renormalization-group perspective on spontaneous stochasticity in hydrodynamic turbulence, viewed through the lens of multiscale dynamical systems. Building on previously established results for a solvable multiscale Arnold's cat model, we show that spontaneous stochasticity emerges as a universal fixed point of an RG transformation acting on Markov kernels, independent of the microscopic regularization. Classical examples - including the Feigenbaum equation, the central limit theorem, and hierarchical spin models - are reinterpreted within the same framework, placing spontaneous stochasticity alongside other universality phenomena. |
| title | Renormalization-group perspective on spontaneous stochasticity |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2602.24221 |