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 time or space. It encompasses foundational theory for Markov processes, martingales, Lévy processes, Gaussian processes, and point processes, with emphasis on properties such as stationarity, ergodicity, and mixing. Research addresses limit theorems, stochastic calculus, stochastic differential equations, and probabilistic potential theory. Applications span quantitative finance, statistical physics, queuing theory, population dynamics, signal processing, and machine learning, where stochastic processes provide rigorous frameworks for uncertainty quantification and temporal or spatial dependence.
How do bees make group decisions without a leader? Math experts have determined that the best strategy is for a few to assume the risk of foraging under all conditions while the majority stay safely back and forage only when ...
Ecology
Jul 10, 2026
0
86
In a grandfather clock, a pendulum swings back and forth and this periodic motion is maintained using the energy stored in its suspended weights. This is done with the help of the escapement mechanism, which converts the ...
Humans and other animals are constantly required to make decisions under uncertain conditions or while in rapidly changing environments. Past psychology and biology studies showed that some decision-making strategies can ...
In the search for new drugs, artificial intelligence in the form of diffusion models is being used in drug design. What exactly does AI do in this context? Dr. Andrea Mastropietro and Prof. Dr. Jürgen Bajorath from Life Science ...
Molecular & Computational biology
May 2, 2026
0
17
What physical processes govern the movement of microscopic structures capable of interacting with their environment? The answer lies in two mechanisms: self-propulsion, to escape unfavorable locations; and slow diffusion, ...
Soft Matter
Apr 15, 2026
0
8
Isolating the first spark of life on Earth is a matter of biology, geology, and chemistry—but it's also an amazing math problem. At least, that's how Varun Varanasi viewed it when he was a Yale undergraduate. The question, ...
Molecular & Computational biology
Apr 13, 2026
0
30
Crystals, bacterial colonies, flame fronts: the growth of surfaces was first described in the 1980s by the Kardar–Parisi–Zhang equation. Since then, it has been regarded as a fundamental model in physics, with implications ...
General Physics
Apr 10, 2026
0
357
How can bacteria that forage on organic particles survive in vast ocean regions where such particles are extremely sparse? A new study by researchers from ETH Zurich and Queen Mary University of London shows that variability ...
Cell & Microbiology
Mar 10, 2026
0
14
All complex biological systems—like the DNA, RNA and proteins constantly being copied and built within our cells—are prone to errors. That means as life evolved to be more elaborate, it also had to evolve error-correcting ...
Evolution
Mar 5, 2026
0
18
An ecosystem is not a still life. Even where everything looks stable—a woodland, a lake, the soil—the internal "bookkeeping" keeps changing: how many individuals belong to which species, and for how long. Some populations ...
Evolution
Feb 18, 2026
0
15
