Limit Shapes for Random Young Tableaux via Determinantal Point Processes

Explore a lecture on the convergence of random Young tableaux to limiting surfaces using determinantal point processes. Delve into the mathematical analysis of uniform random Young tableaux and their asymptotic behavior as the underlying Young diagram grows to infinity. Discover a new description of the limit surface for tableaux of multirectangular shape, uncovering potential discontinuities and the conditions under which they occur. Gain insights into the application of combinatorics, representation theory, and statistical physics in this field. Learn about the recent determinantal representation of Poissonized random tableaux and its implications for understanding limit shapes.

Jacopo Borga - Limit shapes for random Young tableaux via determinantal point processes