The third edition of the series of PAD@Bristol meetings. Previous events of the series were held in 2014 and 2018. Sixteen leaders of these fields will give invited lectures on recent developments in the areas of intersection of P, A, and D. The conference will be held in hybrid format with cca half-half of the invited speakers giving their lectures in person, respectively, on-line. Invited speakers: David Aldous, Keith Ball, Michiel van den Berg, Anthony Carbery, Anna Erschler, Charles Fefferman, Alessio Figalli, Maarit Järvenpää, Wilfrid Kendall, Carlangelo Liverani, Gaven Martin, Boris Solomyak, Gwyneth Stallard, Karl-Theodor Sturm, Monica Visan, Benjamin Weiss.