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RG theory of spontaneous stochasticity for Sabra model of turbulence
Alexei A. Mailybaev
https://arxiv.org/abs/2510.01204 https://arxiv.org/pdf/2510.01204

RG theory of spontaneous stochasticity for Sabra model of turbulence
We consider fluctuating Sabra models of turbulence, which exhibit the phenomenon of spontaneous stochasticity: their solutions converge to a stochastic process in the ideal limit, when both viscosity and small-scale noise vanish. In this paper, we develop a renormalization group (RG) approach to explain this phenomenon. Here, RG is understood as an exact relation between the stochastic properties of systems with different dissipative and noise terms, in contrast to the Kadanoff-Wilson coarse-gr…

Analysis of persistent and antipersistent time series with the Visibility Graph method
Macarena C\'adiz, Iv\'an Gallo-M\'endez, Pablo S. Moya, Denisse Past\'en
https://arxiv.org/abs/2510.01202

Analysis of persistent and antipersistent time series with the Visibility Graph method
In this work, we investigate a range of time series, including Gaussian noises (white, pink, and blue), stochastic processes (Ornstein-Uhlenbeck, fractional Brownian motion, and Levy flights), and chaotic systems (the logistic map), using the Visibility Graph (VG) method. We focus on the minimum number of data points required to use VG and on two key descriptors: the degree distribution P(k), which often follows a power law P(k) ~ k^-gamma, and the Hurst exponent H, which identifies persistent …

Statistical Parameter Calibration with the Generalized Fluctuation Dissipation Theorem and Generative Modeling
Ludovico T. Giorgini, Tobias Bischoff, Andre N. Souza
https://arxiv.org/abs/2509.19660

Statistical Parameter Calibration with the Generalized Fluctuation Dissipation Theorem and Generative Modeling
Parameter calibration in complex dynamical systems often relies on costly optimization routines or ad hoc tuning to match statistical properties of observations. In this work, we develop a principled framework for statistical calibration grounded in the Generalized Fluctuation-Dissipation Theorem (GFDT). This approach provides exact linear response formulas that relate infinitesimal changes in internal model parameters to infinitesimal changes in statistics of arbitrary observables. In other wo…

Replaced article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem ...
Ludovico T. Giorgini, Fabrizio Falasca, Andre N. Souza