# Lectures, seminars and dissertations

* Dates within the next 7 days are marked by a star.

Mindaugas Bloznelis (U Vilnius)

**Local probabilities of randomly stopped sums of power law lattice random variables and clustering patterns in complex networks**

*** ** Monday 22 January 2018, 15:15, M3 (M234)

Let $X_1$ and $N$ be non-negative integer valued power law random variables.
For a randomly stopped sum $S_N=X_1+\cdots+X_N$ of independent and identically distributed copies of $X_1$ we establish a first order asymptotics of the local probabilities $P(S_N=t)$ as $t\to+\infty$. Using this result we show the
$k^{-\delta}$, $0\le \delta\le 1$ scaling of the local clustering coefficient
(of a randomly selected vertex of degree $k$) in a power law affiliation
network. http://arxiv.org/abs/1801.01035

Aalto Stochastics & Statistics Seminar

Jouni Parkkonen (University of Jyväskylä)

**Equidistribution and counting in negatively curved spaces**

*** ** Wednesday 24 January 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Paolo Marcellini (Università di Firenze)

**Elliptic and parabolic equations under general and p,q growth conditions**

*** ** Friday 26 January 2018, 14:15, M3 (M234)

Harmonic analysis and PDE seminar

Stefan Sturm (Universität Salzburg)

**Regularity of weak solutions and supersolutions to the porous medium equation**

*** ** Friday 26 January 2018, 15:15, M3 (M234)

Harmonic analysis and PDE seminar

Jari Miettinen (Aalto ELEC)

**Independent component analysis for graph data using graph-autocorrelation matrices**

Monday 29 January 2018, 15:15, M3 (M234)

The first independent component analysis estimators were designed for i.i.d. data, and they assume that at most one of the independent components has Gaussian density. Afterwards, methods have been developed for data with dependencies between the observations, including for example time series and spatial data. Those methods utilize solely or partially the structure of the data. For the most general case, graph data, Blochl et al. introduced an ICA estimator called GraDe (graph decorrelation) which uses approximate joint diagonalization of graph-autocorrelation matrices. GraDe contains the best-known time series and spatial methods as special cases. The structure of the graph is given in an adjacency matrix which is to be known or estimated prior to performing the ICA task. As one example in our paper on the effects of adjacency matrix estimation errors in graph signal processing, we study how the GraDe method is affected by misspecification of the adjacency matrix, using both theoretical and simulation results.

Aalto Stochastics and Statistics Seminar

Pekka Pankka (University of Helsinki )

**TBA**

Wednesday 31 January 2018, 12:15, M3 (M234)

Seminar on Analysis and Geometry

Ratan Kumar Giri (National Institute of Technology Rourkela, India)

**Reduced limit corresponding to the second order semilinear elliptic PDEs with measure data**

Wednesday 07 February 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Tuomas Orponen (University of Helsinki)

**TBA**

Wednesday 14 February 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Jung-Tae Park (Seoul National University)

**Global gradient estimates for measure data problems in nonsmooth domains**

Wednesday 21 February 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Pekka Alestalo (Aalto University)

**Extension of bilipschitz maps: A survey**

Wednesday 28 February 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Sebastian Schwarzacher (University of Bonn)

**TBA**

Wednesday 07 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Ilmari Kangasniemi (University of Helsinki)

**TBA**

Wednesday 14 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Sylvester Eriksson-Bique (UCLA)

**TBA**

Wednesday 21 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Augusto Gerolin (University of Jyväskylä)

**Optimal Transport meets Density Functional Theory **

Wednesday 28 March 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

Amal Attouchi (University of Jyväskylä)

**Qualitative properties of viscosity solutions of a degenerate or singular parabolic equation in non-divergence form.**

Wednesday 11 April 2018, 12:15, M3 (M234)

Seminar on analysis and geometry

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