On functional equations associated with the renormalization of non-commuting circle mappings

Christodoulides YT; Mestel BD

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On functional equations associated with the renormalization of non-commuting circle mappings

机译：与非交换圆映射的重归一化有关的函数方程

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We investigate the functional equations associated with critical non-commuting circle homeomorphisms. Using Epstein's Herglotz function methods, we show that there are analytic solutions of a class of functional equations closely related to period-two points of the circle-map renormalization transformations for rotation number with continued fraction [p, p,...], p epsilon N.

机译：我们研究与临界非交换环同胚关系的函数方程。使用爱泼斯坦的Herglotz函数方法，我们证明了一类函数方程的解析解，这些函数方程与具有连续分数[p，p，...]，p的旋转数的圆图重新归一化变换的周期两点密切相关εN.

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《Journal of physics, A. Mathematical and theoretical》 |2007年第39期|共21页
作者
Christodoulides YT; Mestel BD;
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正文语种 eng
中图分类物理学;
关键词
NON-LINEAR TRANSFORMATIONS; QUASI-PERIODICITY; UNIVERSAL PROPERTIES; DISSIPATIVE SYSTEMS; FIXED-POINTS; MAPS; EXISTENCE; SINGULARITIES; RIGIDITY;

机译：非线性变换;拟周期;普遍性质;耗散系统;不动点;映射;存在性;奇异性;刚度;

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1. On functional equations associated with the renormalization of non-commuting circle mappings [J] . Christodoulides YT, Mestel BD Journal of physics, A. Mathematical and theoretical . 2007,第39期

机译：与非交换圆映射的重归一化有关的函数方程
2. Hyperbolicity of the renormalization operator for critical C-r circle mappings [J] . Voutaz E Ergodic Theory and Dynamical Systems . 2006,第2期

机译：关键C-r圆映射的重整算子的双曲性
3. Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations [J] . Huber M.Q., Braun J. Computer physics communications . 2012,第6期

机译：泛函重整化组方程和Dyson-Schwinger方程的算法推导
4. Functional renormalization group equations, asymptoticsafety, and quantum Einstein gravity [C] . MARTIN REUTER, FRANK SAUERESSIG Summer School Geometric and Topological Methods for Quantum Field Theory . 2010

机译：功能重整化组方程，渐近细胞安全和量子爱因斯坦重力
5. On Uniformly Quasiregular Solutions to the Schr?der Functional Equation and Strongly Automorphic Mappings [D] . MacClure, Douglas Malcolm. 2018

机译：在SCHR的均匀QuasiRegular解决方案上，函数方程和强烈的自同网映射
6. RENORMALIZATION TECHNIQUES AND MEAN SQUARE AVERAGING I. DETERMINISTIC EQUATIONS [O] . Richard Bellman, John M. Richardson 1961

机译：重新规范化技术和均方平均I。确定方程
7. Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations [O] . Markus Q. Huber, Jens Braun 2016

机译：函数重整化群方程和Dyson-schwinger方程的算法推导

On functional equations associated with the renormalization of non-commuting circle mappings

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