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PhD applications

Deadline

The deadline for all calls are 1 February 2024 at 23:59 CET.

Statistical foundations of topological data analysis

Supervisor: Christian Pascal Hirsch

Project description

The research area for this position is the development of asymptotic results for spatial random networks and for topological data analysis on large random structures. This includes for instance the investigation of novel forms of continuum percolation that can capture higher-order interaction. Moreover, limit results such as the law of large numbers, the central limit theorem, and large deviations theory provide the foundation for basic statistical properties such as consistency and asymptotic normality. This is of high relevance since the statistical foundations of topological data analysis are still in infancy although this methodology is now applied in a variety of domains such as astronomy, biology, chemistry, and materials science. Hence, there is also potential for work in interdisciplinary projects.

Earliest start date: 1 May 2025

In order to apply, and find more details, visit:

Stochastic partial differential equations on fractals and metric measure spaces

Supervisors: Fabrice Baudoin and Li Chen

Project Description

This project is concerned with the study of stochastic partial differential equations in rough structures including fractals, the aim being to quantify the interaction between geometric and random environment for a rich class of models.

We seek applicants with a strong background in analysis and probability.

Earliest start date: 1 May 2025

In order to apply, and find more details, visit