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Explore how boundary conditions affect random interface growth in this mathematical lecture from Institut des Hautes Etudes Scientifiques. Delve into the modeling of real interface growth and examine various types of boundary conditions that can be imposed on these systems. Investigate theoretical predictions and research results concerning how different boundary conditions influence the long-term behavior of interface growth processes. Focus on understanding the stationary measure for growth models, analyzing the time required to reach stationarity, and studying current fluctuations within stationary states. Gain insights into advanced mathematical concepts in probability theory and statistical mechanics as applied to interface dynamics, presented by Ivan Corwin from Columbia University as part of a comprehensive lecture series on random interface growth phenomena.
