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Nonthermal fixed points are universal far from equilibrium phenomena occurring at high overoccupancy. They are relevant to high energy theory and are a subject on ongoing experimental studies in cold atom experiments. The nonthermal fixed point regime is characterized by a self similar scaling in time of low order correlation functions, as encapsulated by a few scaling exponents. I will discuss novel regularities concerning the approach to (prescaling, now experimentally confirmed!) and perturbations of ("quasinormal modes") nonthermal fixed points. Based on 2307.07545 and 2209.14883.