This text takes readers in a clear and progressive format from
simple to recent and advanced topics in pure and applied
probability such as contraction and annealed properties of
non-linear semi-groups, functional entropy inequalities, empirical
process convergence, increasing propagations of chaos, central
limit, and Berry Esseen type theorems as well as large deviation
principles for strong topologies on path-distribution spaces.
Topics also include a body of powerful branching and interacting
particle methods.
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