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...
Registration：https://www.wjx.top/vm/hNd96OF.aspx#Target AudienceUndergraduate students, graduate students, postdocs, professors, not necessarily working in number theory.PrerequisitesBasic number theory and commutative algebra, such as congruences, quadratic reciprocity law, groups, commutative rings.AbstractResearchers in one area are often unable to understand research work in another area, ...
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