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Developments and Open Problems

Applications of Duality

Duality and Intertwining

First Examples and Basic Setup

Hypoelliptic Laplacian and the trace formula

The hypoelliptic Laplacian in real and complex geometry

From mosquitoes to ChatGPT — the birth and strange life of the random walk

Scientific Research in the Time of AI

Yair Shenfeld Optimal transport and high dimensional probability Introduction to optimal transpo

Yair Shenfeld Optimal transport and high dimensional probability Wasserstein Spaces

Yair Shenfeld Optimal transport and high-dimensional probability

Yair Shenfeld Optimal Transport and high dimensional probability

Sinho Chewi Optimal transport and high dimensional probability Otto's Calculus on Wasserstein and

Mark Rudelson Approximately Hadamard matrices and random frames default

Sinho Chewi Optimal transport and high dimensional probability Gradient Flows on Wasserstein Spa

Mark Rudelson How to check when a system of real quadratic equations has a solution Part 2

Govind Menon The geometry of the deep linear network

Govind Menon The geometry of the deep linear network 2

Beating the odds: Learning or hallucinating? What is the science of data doing today?

Dynamical spectral transition for optimization in very high dimensions

On deformations over non-commutative base

Functional Data Analysis in Practice

Convergent Evolving Surface Finite Element Algorithms for Geometric Evolution Equations

Time Integration of Tree Tensor Networks