Main content
Top content
06.11.2024 um 17:15 Uhr in Raum 69/125
Prof. Dr. An Chen (Universität Ulm)
TBA
13.11.2024 um 17:15 Uhr in Raum 69/125
Prof. Mireile Boutin (TU Endhoven)
TBA
20.11.2024 um 17:15 Uhr in Raum 69/125
Prof. Dr. Alexander Drewitz (Universtität Köln)
A Journey Through Percolation - From Independence to Long-Range Correlations
Percolation models have been playing a fundamental role in statistical physics for several decades by now. They had initially been investigated as a model for the gelation of polymers during the 1940s by chemistry Nobel laureate Flory and Stockmayer. From a mathematical point of view, the birth of percolation theory was the introduction of Bernoulli percolation by Broadbent and Hammersley in 1957, motivated by research on gas masks for coal miners. One of the key features of this model is the inherent stochastic independence which simplifies its investigation, and which has lead to deep mathematical results. During recent years, there has been a growing interest in investigating percolation models with long-range correlations, aiming to capture a more realistic and complex scenario. We will survey parts of the development of percolation theory, and then discuss some recent progress for the Gaussian free field with a particular focus on the understanding of the critical parameters in the associated percolation models.
