Domain Markov Properties - Talk 2, Part 2

Explore the fundamental questions of statistical physics models on graphs through this 45-minute mathematical lecture that examines which probability laws satisfy the Markov property and which random sets induce Markovian decompositions. Delve into three distinct settings: metric graphs, decorated random planar maps, and continuous domains, with particular emphasis on decorated planar maps based on recent research collaboration. Gain insights into advanced probability theory and statistical physics applications through rigorous mathematical analysis and contemporary research findings in domain Markov properties.