ERC Advanced Grant · 2024
High-dimensional probability in ergodic theory and representation theory
This project begins with the interaction between (i) convergence and limits for labeled bounded-degree graphs and (ii) the This project begins with the interaction between (i) convergence and limits for labeled bounded-degree graphs and (ii) the ergodic theory of possible limit processes over infinite graphs, regarded as stationary processes for infinite groups of symmetries. It will deliberately focus on foundational issues that cannot be addressed using the most standard tools: models that are at ‘low temperature’, so mean-field and related methods do not provide good approximations; and limiting graphs that are not ‘amenable’, meaning that they do not allow approximations by decomposing…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.