Description

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Determinantal Point Processes

The course will be devoted to determinantal point processes arising in random matrix theory, with a particular emphasis on the sine-process of Freeman Dyson, the scaling limit of the distribution of the eigenvalues of a random unitary matrix.

After a detailed introduction to the dynamical and probabilistic properties of our point process, we will study their behaviour under the action of the infinite-dimensional group of diffeomorphisms of compact support.

The course will consist of 3 presential lectures of 60 minutes each, which will also be transmitted via Zoom.

Recorded videos: Lecture 1, Lecture 2, Lecture 3

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Course Instructors:

Alexander Bufetov (CNRS, Steklov Mathematical Institute, IITP RAS, NRU Higher School of Economics)

Organizers:

Pedro Duarte (Universidade de Lisboa), José Pedro Gaivão (Universidade de Lisboa), João Lopes Dias (Universidade de Lisboa), Telmo Peixe (Universidade de Lisboa) and Maria Joana Torres (Universidade do Minho)