Reference profile, dilation, and cocycle

Displayed formulas in this passage

• unlabeled · line 2035

  $${u_{\mu }}^{\rho }={u_{\mu }}^{{\rho }_{\ast }}+\left({{\int }_0}^{\infty }\frac{{\vartheta }_{\rho }(u{)}^4-{\vartheta }_{\ast }(u{)}^4}{u}\mathrm{d}u\right)r.$$

• unlabeled · line 2045

  $$L_{ab}+L_{bc}=L_{ac},L_{aa}=0,L_{ba}=-L_{ab}.$$

• unlabeled · line 2051

  $${\rho }_b(z)={\lambda }^{-4}{\rho }_a(z/\lambda ),\lambda >0,$$

• unlabeled · line 2056

  $${T_{\epsilon }}^b={T_{\lambda \epsilon }}^a,{\vartheta }_b(u)={\vartheta }_a(\lambda u).$$

• unlabeled · line 2061

  $${\kappa }_{{\rho }_b}={\kappa }_{{\rho }_a}-\log \lambda ,{u_{\mu }}^a-{u_{\mu }}^b=(\log \lambda )r.$$

• unlabeled · line 2066

  $${u_{{\mu }_2}}^{\rho }-{u_{{\mu }_1}}^{\rho }=\log ({\mu }_2/{\mu }_1)r.$$