Jiang Y. Renormalization and Geometry in One-Dimensional and Complex Dynamics. In: Advanced Series in Nonlinear Dynamics, vol. 10. River Edge, NJ: World Scientific Publishing Co, 1996Jiang, Y., Renormalization and Geometry in One-Dimensional and Complex Dynamics. Ad- vanced Series in Nonlinear ...
顺便说一句,平均场理论无法描述某些物理相变(phase transitions),导致物理学家开发出重整化群(renormalization group)这样的新的多尺度研究方法,可以作为许多复杂系统科学研究的基础工具。 在小尺度的随机现象不满足统计独立性时,复杂系统往往在大尺...
Billiards, dynamics and moduli spaces of Riemann surfaces 864 0 09:21:19 App Low-Dimensional Dynamics (Part I) 375 0 01:01:43 App Topics in Spectrum, Renormalization, and 2-Dimensional Rational Dynamics 696 0 09:15:49 App Low-Dimensional Dynamics (Part II) 617 0 01:04:39 App Dynamics...
Human networks can demonstrate more rich dynamics and different mechanisms of self-organization compared to other types of networks. Considering an example of violin player ensemble, the authors show that by self-tuning tempo, amplitude, and coupling strength between players, their network achieves stab...
Renormalization and geometry in one-dimensional and complex dynamics Jiang Y. Renormalization and Geometry in One-Dimensional and Complex Dynamics. In: Advanced Series in Nonlinear Dynamics, vol. 10. River Edge, NJ: World... Y Jiang - World Scientific, 被引量: 105发表: 1996年 [Advanced Series...
we would also like to understand how an enormous network of interacting dynamical systems — be they neurons, power stations or lasers — will behave collectively, given their individual dynamics and coupling architecture. Researchers are only now beginning to unravel the structure and dynamics of co...
The study of complex networks’ robustness and resilience involves investigating phase transitions that usually depend on features such as degree connectivity, spatial embedding, interdependence and coupled dynamics. Network science offers a wide range of theoretical and computational methods for quantifying ...
Renormalization group analysis of the small-world network model. Physics Letters A , 1999 , 263(4−6): 341 -346 CrossRef Google Scholar [105] Watts D J, Strogatz S H. Collective dynamics of “small-world” networks. Nature , 1998 , 393(6684): 440 -442 CrossRef Google Schol...
H. Oba, Cost reduction of the bond-swapping part in an anisotropic tensor renormalization group, PTEP 2020 (2020) 013B02 [arXiv:1908.07295] [INSPIRE]. G. Aarts, Complex Langevin dynamics at finite chemical potential: Mean field analysis in the relativistic Bose gas, JHEP 05 (2009) 052 [ar...
Dynamics of quadratic polynomials: Complex bounds for real maps We extend Sullivan's complex a priori bounds to real quadratic polynomials with essentially bounded combinatorics. Combined with the previous results of th... M Lyubich - Annales- Institut Fourier...