Workshop Randomness Unleashed Geometry, Topology, and Data

The goal of the workshop is to provide a platform for an exchange of ideas between researchers working at the interface of stochastic geometry, spatial statistics and topological data analysis (TDA). The focus will be on topics such as point patterns, random networks, continuum percolation, statistical physics and (non) euclidean random geometric structures. Within the last decade, TDA has developed an impressive toolkit in order to extract refined topological characteristics. In recent years, we are seeing vigorous research activities into putting these tools on a firm statistical basis. On the other hand, spatial statistics and stochastic geometry have for a long time relied on very elementary distance-based characteristics in order to analyze spatial data sets. Now, we are beginning to witness an increasingly diverse family of results describing more complex geometric and topological structures. The workshop will bring these two communities together and encourage a cross-fertilization leading to innovative research projects that need a combination of different backgrounds. Besides research talks that are accessible to a wide audience, an open-problem session will be the igniting spark for specific projects.

(For more information and registration, please visit the workshop webpage)

Invited Speakers

• Alessandra Cipriani (TU Delft): Topological data analysis: vineyards for metallic structures
• Markus Heydenreich (LMU Munich)
• Daniel Hug (KIT)
• Benedikt Jahnel (WIAS Berlin): Phase transitions for the Boolean model of continuum percolation for Cox point processes
• Sabine Jansen (LMU Munich): Duality, intertwining and orthogonal polynomials for continuum interacting particle systems
• Wolfgang König (WIAS Berlin): A box version of the interacting Bose gas
• Johannes Krebs (Heidelberg University): On approximation theorems for the Euler characteristic with applications to the bootstrap
• Marie-Colette van Lieshout (CWI & University of Twente): State Estimation for Aoristic Models
• Tobias Müller (University of Groningen)
• Takashi Owada (Purdue University): Limit theorems for topological invariants of extreme sample cloud
• Florian Pausinger (Queen's University Belfast): Discrepancy of stratified samples from the unit cube
• Claudia Redenbach (TU Kaiserslautern): Anisotropy analysis of random microstructures
• Daniel Valesin (University of Groningen) Solutions of reaction-diffusion SDEs on Z^d as limits of interacting particle systems
• Rasmus Waagepetersen (Aalborg University): ABC-IC: model selection criteria for inhomogeneous point processes

Organizers

• Gilles Bonnet (University of Groningen)
• Magnus B. Botnan (VU Amsterdam)
• Christian Hirsch (University of Groningen)

If you have any questions please feel free to reach out to us: g.f.y.bonnet rug.nl, M.B.Botnan vu.nl, c.p.hirsch rug.nl

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