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The 4th conference Probability and Analysis will be held 20-24 May 2019 in Będlewo, following conferences that took place in 2012, 2015 and 2017. The aim of the conference series is to intensify international and interdisciplinary collaboration in probability and analysis. The conference will be an occasion to summarize the existing body of research and set further goals and joint projects. The conference will cover a number of topics in the intersection of probability and analysis including the following: 1. Complex stochastic systems; 2. Harmonic analysis and applications; 3. Markov processes and PDEs; 4. Probability in Banach spaces; 5. Random dynamical systems.