This conference aims to gather specialists in time series with a special focus on non-stationarity. Such time series appear naturally in many fields and are common in medicine (EEG), economics, or linguistics applications. The conference is dedicated to the memory of our colleague Bernard Desgraupes (university Paris-Nanterre), who planned to organize this conference with us. It will encourage collaborations between theoretical and applied researchers. The conference is free of charge but registration is mandatory (in particular for reservations of the meals and the gala dinner).