Scaling limits in algebra, geometry, and probability

Arzhakova, E. (2022)

Doctoral Thesis

Central Limit Theorem associated to a particular case of ergodic total automorphisms. Finally, Chapter 6 proves that the isoperiodic foliation is connected for a meromorphic differential with three poles on a torus. 

• Decimated polynomial
• Principal algebraic action
• Spanning forest
• Determinantal point process
• Central Limit theorem
• Ergodic toral automorphism
• Isoperiodic foliation

• All authors: Arzhakova, E.
• Supervisor: Verbitskiy, E.A.; Hollander, W.T.F. den
• Co-supervisor: Terhesiu, D.E.
• Committee: Luijk, R.M. van; Haas, F.A.J. de; Tilière, B. de; Li, H.; Shadrin, S.
• Qualification: Doctor (dr.)
• Awarding Institution: Mathematical Institute (MI), Faculty of Science, Leiden University
• Date: 2022-02-23