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.
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
Theses
- On Ising Model Coupled to Random Planar Triangulations, doctoral thesis, 2020
- On random planar maps and their scaling limits, master's thesis, 2014
- Interpolation on L^p-spaces, bachelor's thesis, 2013
Teaching assistant
- Functional analysis, fall 2019
- Probability theory II, fall 2018
- Probability theory I, fall 2018
- Stochastic Methods, fall 2017
- Stochastic methods in physics and biology, spring 2016
- Matematiikka tutuksi, autumn 2012
Thesis supervisor
- Marcus Leivo, bachelor's thesis
Talks
- Ising model on random triangulations of the half-plane: critical behavior and phase transition, Integrable Probability and Related Fields from a Safe Distance, Department of Mathematics, MIT, October 2020
- Ising model on random triangulations with a boundary: from combinatorics to geometry, Journée Cartes du 16 octobre 2020, Institut de Maths d'Orsay, Université Paris-Saclay, October 2020
- Ising model on random triangulations of the half-plane, Bernoulli-IMS One World Symposium 2020, August 2020
- Ising model on random triangulations of the half-plane, Random Trees and Graphs Summer School, CIRM, July 2019
- Critical Ising model on infinite random triangulation of the half-plane, Young Researchers Symposium at ICMP 2018, Montréal, July 2018
- Critical Ising model on random triangulations of the disk: enumeration and limits, RGM follow up, Isaac Newton institute, Cambridge, July 2018
- Introduction to two-dimensional random geometry, Students’ seminar, Department of Mathematics and Statistics, University of Helsinki, November 2017
- Critical Ising model on infinite random triangulation of the half-plane, Mathematical physics seminar, University of Geneva, October 2017
- Boltzmann triangulations with Ising model on faces, Stochastics and statistics seminar, Department of Mathematics and Systems Analysis, Aalto University, October 2016
- Boltzmann triangulations with Ising model on faces, 46th Probability Summer School Saint-Flour, Saint-Flour, July 2016
- Boltzmann triangulations with Ising model on faces, Mathematical physics seminar, Department of Mathematics and Statistics, University of Helsinki, April 2016
- Introduction to analytic combinatorics, Students’ seminar, Department of Mathematics and Statistics, University of Helsinki, February 2016
- A bijection between labelled plane trees and rooted and pointed planar quadrangulations, Stochastic models seminar, Department of Mathematics and Statistics, University of Helsinki, March 2015
Conferences
- Maps at CIRM, CIRM, January 2021
- Bernoulli-IMS One World Symposium 2020, August 2020
- Random Trees and Graphs Summer School, CIRM, July 2019
- Random maps and matrices from a geometric perspective, ENS Lyon, May 2019
- États de la recherche SMF : Statistical mechanics, Institut Henri Poincaré, Paris, December 2018
- Celebration of Mathematics: 150 Years of the Finnish Mathematical Society, University of Helsinki, November – December 2018
- International Congress on Mathematical Physics and Young Researchers Symposium, Montréal, July 2018
- RGM follow up, Isaac Newton institute, Cambridge, July 2018
Contact
'given-name' 'dot' 'familyname' 'ät' ens-lyon 'dot' fr