# Petri Laarne

- Doctoral researcher (PhD student, 2022–) in mathematics at University of Helsinki.
- Occasional software developer.
- Secretary of the Finnish Mathematical Society (2023–).
- Yleistajuista matikkaa suomeksi: Nollakohta.fi.

Contact details:

## Research

I am interested in stochastic analysis: partial differential equations with a dash of randomness.
Generally speaking, I like when stuff has a random component in it.
Keywords:

- Nonlinear wave equations
- Metastable dynamics
- Stochastic quantization

As part of my civilian service, I worked as research assistant at the Institute for Atmospheric and Earth System Research at University of Helsinki.
My research was on statistical methods to explore many-variable data sets.

## Publications

## Preprints as of 10 October 2024:

- Barashkov and Laarne:
*Eyring–Kramers law for the hyperbolic φ*^{4} model (arXiv).
- Barashkov and Laarne:
*Invariance of φ*^{4} measure under nonlinear wave and Schrödinger equations on the plane (arXiv).

## Atmospheric data analysis papers from my civilian service:

- Laarne, Amnell, Zaidan, Mikkonen, Nieminen:
*Exploring Non-Linear Dependencies in Atmospheric Data with Mutual Information* (2022, Atmosphere, MDPI)
- Laarne, Zaidan, Nieminen:
*ennemi: Non-linear correlation detection with mutual information* (2021, SoftwareX, Elsevier)

MSc thesis Periodic nonlinear Schrödinger equation (2021).

## Software

- ennemi: a Python package to explore non-linear correlations across variables. Developed as part of my work at INAR, now cited by some 20 papers across many research fields.

## Teaching

At University of Helsinki:

- Responsible teacher for
*Advanced LaTeX*, a PhD-level course in mathematical typesetting, May 2024.

## Previously as teaching assistant:

*Todennäköisyyslaskenta II* (2023), development of STACK exercises.
*Todennäköisyyslaskenta II* (2022), weekly guidance sessions.
*Lukiomatematiikan kertaus* (2021), development of self-study STACK exercises.
*Todennäköisyyslaskenta II* (2019), weekly exercise sessions.

I may be available for BSc thesis supervision (analysis and probability in broad sense) at University of Helsinki.