Random Measures and Measure-Valued Processes (13w5007)

The Banff International Research Station will host the "Random Measures and Measure-Valued Processes" workshop from September 8th to September 13th, 2013.

Random measures and measure-valued processes are mathematical models describing the macroscopic evolution of populations involving a large number of microscopic activities. The population could be a system consisting of a large number of molecules, the collection of stars in the universe, a communication network, the stocks in financial market, or a population of biological species. Many studies focus on the understanding of the connection between the microscopic mechanism and the macroscopic behavior, the long-time behavior of the population, the origin of the population, and the stability of a system. Over the past thirty years, random measures and measure-valued processes have evolved to become pivotal tools in a wide variety of disciplines including biology, ecology, economics, finance, genetics, physics and statistics. The desire to get closer to reality has led to many new models and new challenges. This workshop and the geographical location of the Banff station offer an ideal venue for the exchange of information between researchers from different continents. It will bring together mathematicians, biologist, and statisticians to survey recent development in their research areas, to discuss various challenges they are facing, and to determine the future research directions in random measure and measure-valued processes.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).