Nonlinear analog of the complexity-stability transition in random dynamical systems: a replica calculation

DOI10.1088/1751-8121/ACAD4COpenAlexW4312082001MaRDI QIDQ5879075

Thibaut Arnoulx de Pirey, Frédéric Van Wijland

Publication date: 24 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.04468

zbMATH Keywords

random matricesdisordered systemsstatistical physicscomplex systems

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Classical particle in a box with random potential: exploiting rotational symmetry of replicated Hamiltonian
• Topology trivialization and large deviations for the minimum in the simplest random optimization
• Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices
• Nonlinear analogue of the May−Wigner instability transition
• Wigner-Dyson statistics from the replica method

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