# Analysis and PDE seminars at Aalto

## Harmonic analysis and PDE seminar

The seminar is held on **Fridays at 14-16**, and the place alternates between the University of Helsinki Kumpula Campus (Exactum room **C123**) and the Aalto University Otaniemi Campus (Main Building room **M3**).

In January and February 2017, we we will have a break in the joint seminar, but the seminar will continue at the same time (Friday 14-16) at Aalto. Later in the spring, we will think about a new concept for the joint seminar. We might have a joint seminar approximately every second week with two shorter talks.

Everyone interested is welcome!

Organizers of the seminar:

## Analysis and geometry seminar

Analysis and geometry seminar is held usually on **Wednesdays at 12-14 **in** M3**.

Organizers of the seminar:

## Talks

- 1.3. 12:15 Clifford Gilmore (University of Helsinki): Growth rates of frequently hypercyclic harmonic functions – M3 (M234)
The notion of frequent hypercyclicity stems from ergodic theory and has been an active area of research since it was introduced by Bayart and Grivaux (2004).
Many natural bounded linear operators are frequently hypercyclic, for instance the differentiation operator on the space of entire functions.
We will begin by recalling some basic examples and the pertinent notions of frequent hypercyclicity.
We then consider the partial differentiation operator acting on the space of harmonic functions on R^n.
Our primary goal is to identify sharp growth rates, in terms of the L^2-norm, of harmonic functions that are frequently hypercyclic vectors for the basic partial differentiation operator. This answers a question posed by Blasco et al. (2010).
This is joint work with Eero Saksman and Hans-Olav Tylli.

- 10.3. 14:15 Jonas Tölle: The
*p*-Laplace evolution equation as *p* tends to 1: Mosco convergence and convergence of solutions – M3 (M234) - 15.3. 12:15 Eero Ruosteenoja (University of Jyväskylä): Tug-of-war games – M3 (M234)
Ten years ago Peres, Schramm, Sheffield and Wilson introduced two-player zero-sum stochastic games that they called tug-of-war games. They showed that these games have close connections to certain nonlinear PDEs of p-Laplacian and infinity Laplacian type. I will give an overview of the topic. No background knowledge of probability theory is needed.

- 17.3. 15:00 Estibalitz Durand Cartagena (UNED, Spain): TBA – M3 (M234)
- 22.3. 12:15 Mikko Stenlund (University of Helsinki): TBA – M3 (M234)
- 31.3. 14:15 Matias Vestberg: TBA – M3 (M234)
- 7.4. 14:15 Christopher Hopper: TBA – M3 (M234)
- 12.4. 12:15 Ville Tengvall (University of Jyväskylä): TBA – M3 (M234)
- 19.4. 12:15 Prof. Samuli Siltanen (University of Helsinki): Electrical impedance tomography imaging via the Radon transform – M3 (M234)
- 21.4. 14:15 Casimir Lindfors: TBA – M3 (M234)

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