DimDyn · Dimension and Dynamics
Horizon Europe — Marie Skłodowska-Curie Actions
- Duration
- 2022-09-01 → 2024-08-31
- EU contribution
- €215,534
- Participants
- 1
- Scheme
- HORIZON-TMA-MSCA-PF-EF
Lines connect the coordinator with its partners.
Results in brief
Dimension and Dynamics
The main aim of this project was to tackle several fundamental questions in dynamical systems and probability theory by developing groundbreaking new techniques. These techniques are rooted in dimension theory and capitalise on the extensive progress made in the field in recent years. To further this aim, our intention was to build bridges between the often disjoint domains of dynamical systems, probability theory, mathematical physics, and metric geometry. The project also sought to elevate the funded researcher's international profile, enhancing their potential to secure a permanent academic position and enable them to continue to develop these new areas of research.
Data: CORDIS, © European Union
Project objective
This ambitious project tackles several fundamental questions in dynamical systems, additive combinatorics, and probability theory by developing groundbreaking techniques. These new techniques are rooted in fractal geometry and will make use of the latest developments in dimension theory. In particular, we will tackle the dimension drop conjecture, advance our understanding of projections of regular sets, and aim to resolve open questions on quasi-symmetric embeddings of random metric spaces. Our approach is to develop unifying machinery that will help in studying these seemingly disparate questions.
Original text from CORDIS.
Participants
- OULUN YLIOPISTO · OuluCoordinatorFinland
Links
- View on CORDIS
- DOI: 10.3030/101064701
- https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5154bb3c4&appId=PPGMS
- https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5f8669fb9&appId=PPGMS
Data: CORDIS, © European Union