Analytic and Geometric Aspects of Probability on Graphs
Interplay between the probability theory and geometric group theory yielded many spectacular results enriching both areas. Asymptotic properties of various models coming from statistical physics and probabilities were connected to the geometry and combinatorics of the underlying discrete algebraic structure (for instance a group, a graph, a group action). The study started with simple random […]
Geometric Mechanics, Variational and Stochastic Methods
The basic goal of this program is to advance research in geometric as well as stochastic methods in mechanics, control theory, and imaging, taking into account recent developments also in connected areas, such as infinite dimensional Lie groups and representation theory, quantum gauge field theory, infinite dimensional analysis. Applications ranging from mathematical physics to modeling […]
The role of mathematics and computer science in ecological theory
The issues of climate change and biodiversity loss are definitely the major concerns for 21st-century science. Ecology is one of the most involved sciences in this challenge. Undoubtedly, mathematics and computer simulations have played an important role in the development of theoretical ecology for almost one century. They are often designated as “modeling”. But what […]
