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My research area is stochastics, the mathematical theory of random events, systems, and processes. The main focus is statistical network models and random graphs, together with random dynamical systems and stochastic processes acting on networks. The general objective is to derive fundamental mathematical laws for predicting the macroscopic behavior of large random systems and describing the accuracy of statistical learning algorithms for large network models. Such laws allow to make predictions using massive high-dimensional data sets for which classical methods of statistics and machine learning are often infeasible. Statistical network models under study include random intersection graphs, stochastic block models, and graphons. The archetypes of stochastic dynamics studied are branching processes, random walks, and first passage percolation. The formulas and methods have a wide range of applications ranging from information and social networks to biological and financial systems.
Lasse Leskelä: "Stochastics: The mathematics of chance", The Tenured Professors' Installation Lectures at Aalto University 10 April 2014 http://youtu.be/ZsZ55FE3GB4
Lasse Leskelä: "Stochastics the mathematics of chance", The Tenured Professors' Installation Lectures at Aalto University 10 April 2014 http://youtu.be/ZsZ55FE3GB4
I received the MSc and DSc degrees from Helsinki University of Technology, Finland, in 1999 and 2005, respectively. During 2006–2007 I worked abroad for two years, first at Columbia University in the USA and then at Centrum Wiskunde & Informatica (CWI) and Eindhoven University of Technology in the Netherlands. After returning to Finland, I worked for three years at Aalto University and then three more at the University of Jyväskylä, before becoming appointed an Associate Professor of Applied Mathematics at Aalto University in 2014.
I received the MSc and DSc degrees from Helsinki University of Technology, Finland, in 1999 and 2005, respectively. During 2006–2007 I worked abroad for two years, first at Columbia University in the USA and then at Centrum Wiskunde & Informatica (CWI) and Eindhoven University of Technology in the Netherlands. After returning to Finland, I worked for three years at Aalto University and then three more at the University of Jyväskylä, before becoming appointed an Associate Professor of Applied Mathematics at Aalto University in 2014.
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