Pure Maths Colloquium: Stochastic Algebraic Topology
1 November 2010 17:15 in CM221
Topological spaces and manifolds are commonly used to model configuration spaces or phase spaces of physical and economical systems. Many current technological challenges, such as those dealing with the modelling, control and design of large systems, lead to topological problems which very often have mixed topological-probabilistic character and therefore require new mathematical tools. In my talk I will describe several models producing random simplicial complexes and closed smooth manifolds depending on a large number of random parameters and also mechanisms producing random groups. I will focus on recent results and techniques allowing prediction of topological properties of random spaces with high probability.
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