Joonas Turunen

I am a postdoctoral researcher in mathematical physics at the ENS de Lyon. My work is supported by a personal fellowship of the LabEx MILYON. I work on questions of random geometry arising from the interface of combinatorics, statistical physics and probability. I recently defended my thesis On Ising Model Coupled to Random Planar Triangulations, for which I worked in the Mathematical Physics group at the University of Helsinki. It focuses on random planar maps coupled to the Ising model, which could be viewed as a discrete model of the Liouville Quantum Gravity with matter. To get an idea of this, see my talks in Paris-Saclay (2020), in Cambridge (2018), or a short online talk. I also work on other random planar map models, both pure and decorated, and related random processes.

Curriculum Vitae

Research papers

  • Interfaces in the vertex-decorated Ising model on random triangulations of the disk (2020). arXiv preprint
  • Ising model on random triangulations of the disk: phase transition (with Linxiao Chen) (2020). arXiv preprint
  • Critical Ising model on random triangulations of the disk: enumeration and local limits (with Linxiao Chen), Commun. Math. Phys. 374, 1577–1643 (2020). Journal version, arXiv preprint


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