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limiting shape functions tilt-velocity duality stationary cocycles ergodic theorem for cocycles point-to-level variational formula point-to-point variational formula cocycles adapted to the potential Busemann functions stationary percolation questions of the audience

Latest Videos

Post-edited Palm equivalence and quasi-symmetries of determinantal point processes associated with Hilbert spaces of holomorphic functions

Two important examples of the determinantal point processes associated with the Hilbert spaces of holomorphic functions are the Ginibre point process and the set of zeros of the Gaussian Analytic ...

Post-edited Singular hyperbolicity and homoclinic tangencies of 3-dimensional flows

The notion of singular hyperbolicity for vector fields has been introduced by Morales, Pacifico and Pujals in order to extend the classical uniform hyperbolicity and include the presence of ...

Post-edited Totally geodesic submanifolds of Teichmüller space and moduli space

We consider "higher dimensional Teichmüller discs", by which we mean complex submanifolds of Teichmüller space that contain the Teichmüller disc joining any two of its points. We prove results in ...

Post-edited Dense subgroups in simple groups - Lecture 2

In this series of lectures, we will focus on simple Lie groups, their dense subgroups and the convolution powers of their measures. In particular, we will dicuss the following two questions.
Let G be ...

Multi angle The KPZ fixed point - Lecture 2

In these lectures I will present the recent construction of the KPZ fixed point, which is the scaling invariant Markov process conjectured to arise as the universal scaling limit of all models in the ...

Multi angle The KPZ fixed point - Lecture 1

In these lectures I will present the recent construction of the KPZ fixed point, which is the scaling invariant Markov process conjectured to arise as the universal scaling limit of all models in the ...

Multi angle Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 3

Kardar-Parisi-Zhang fluctuation exponent for the last-passage value of the two-dimensional corner growth model with exponential weights. We sketch the proof of the fluctuation exponent for the ...

Multi angle Variational formulas, Busemann functions, and fluctuation exponents for the corner growth model with exponential weights - Lecture 2

Busemann functions for the two-dimensional corner growth model with exponential weights. Derivation of the stationary corner growth model and its use for calculating the limit shape and proving ...
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