Blake Pehrson (University of Leeds) – Scaling Limits of a Markovian Simplification of Concentrated Particle Aggregation
- Date
- @ MALL, 14:00
- Location
- MALL
- Speaker
- Blake Pehrson
- Affiliation
- University of Leeds
- Short bio [AI generated]
- Blake Pehrson is a postgraduate researcher in the School of Mathematics at the University of Leeds. His interests include probability theory, stochastic processes, and statistical physics. He has worked on problems involving stochastic resetting processes and has presented research on scaling limits and Schramm-Loewner Evolution (SLE), including the emergence of SLE from particle aggregation models.
- Category
- Probability
We review the conformal mapping framework for planar particle aggregation and then visually motivate a Markovian simplification in the case where free particles are attracted to deposited particles. We explain the small-particle scaling limit for this simplification under smooth geometries with uniform boundary conditions and discuss ongoing work towards allowing for more general smooth boundary conditions.