The dynamics of non-integrable Hamiltonian systems, described by area-preserving mappings, are regulated by the KAM theorem. This states that the phase space of the system is made up of interwoven ...

The field of data science is expanding and changing as new technologies and methods crop up for data scientists. Those familiar with point processes know that they map collections of data points, or ...

Editor's note: As the following article is a chapter (Chapter 8) from David Koenig's book, Practical Control Engineering: Guide for Engineers, Managers, and Practitioners (MATLAB Examples) (McGraw ...

Increasing evidence has emerged for non-random spatial distributions of microbes, but knowledge of the processes that cause variation in microbial assemblage among ecosystems is lacking. For instance, ...

Stochastic processes as a research area focuses on the mathematical modeling and analysis of systems that evolve randomly over time, typically formalized as families of random variables indexed by ...

Simulation research derives new methods for the design, analysis, and optimization of simulation experiments. Research on stochastic models develops and analyzes models of systems with random behavior ...

The total amount of money invested in the project. The total cost includes EU contribution as well as other project costs not covered by EU funding. It is expressed in euros. Amount of money, by way ...

Our research focus here employs probabilistic and analytic methods to explore complex random systems. At its core, the methods developed and utilized include a wide array of tools from stochastic ...