Oleg Evnin

TL;DR: In this article, the authors revisited the issues of non-linear AdS stability, its relation to growing (sec- ular) terms in nonlinear perturbation theory around the AdS background, and the need and possible strategies for resumming such terms.

TL;DR: In this article, conservation laws restricting the slow drift of energy between the different normal modes due to non-linearities were discovered in gravity-scalar field systems, and the nature of these conservation laws was best understood through an appeal to averaging methods which allow one to derive an effective Lagrangian or Hamiltonian description of the slow energy transfer between the normal modes.

TL;DR: In this article, the authors revisit the issues of non-linear AdS stability, its relation to growing (secular) terms in naive perturbation theory around the AdS background, and the need and possible strategies for resumming such terms.

TL;DR: In this article, the initial value problem for BH mergers is well posed, the Einstein-Maxwell-dilaton system is considered, and conservative estimates for the merger parameters (final spins, quasinormal modes) are presented.

TL;DR: In this article, conservation laws restricting the slow drift of energy between the different normal modes due to non-linearities were discovered in gravity-scalar field systems, and the nature of these conservation laws was best understood through an appeal to averaging methods which allow one to derive an effective Lagrangian or Hamiltonian description of the slow energy transfer between the normal modes.