Piotr Brzeski

Percolation of hyperspheres

A new method of studying the continuous percolation of aligned objects was recently proposed by Z. Koza and J. Poła in their article entitled "From discrete to continuous percolation in dimensions 3 to 7". Using this method authors were able to obtain results for percolations of hypecubes with far better accuracy than attained with any other method before. In my presentation I will describe aforementioned method and its application to percolation of hyperspheres in multidimensional systems.