Description: The central-limit type results are universal in many random walk models: they are known as Donsker’s theorem for the classical Zd random walk, and also hold for some random walks in random environment, even when the environment is degenerate like percolation. In their proofs, the homogenization theory, which comes from PDE, plays an important role. This course will cover the follo...
PrerequisiteGeneral topology, algebraic topologyAbstractIn this course we will discuss topological and simplicial sides of the homotopy theory
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