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 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
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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
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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
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14
In a new study published in Physical Review Letters, researchers used machine learning to discover multiple new classes of two-dimensional memories, systems that can reliably store information despite constant environmental ...
The development of humans and other animals unfolds gradually over time, with cells taking on specific roles and functions via a process called cell fate determination. The fate of individual cells, or in other words, what ...
When describing collective properties of macroscopic physical systems, microscopic fluctuations are typically averaged out, leaving a description of the typical behavior of the systems. While this simplification has its advantages, ...
General Physics
Nov 28, 2025
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145
In the intricate architecture of plant tissues, beauty often emerges from chaos, according to new research from Cornell researchers. Findings from a recent study show how randomness and growth together create the striking ...
Plants & Animals
Nov 12, 2025
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35
A newly discovered set of mathematical equations describes how to turn any sequence of random events into a clock, scientists at King's College London reveal. The paper is published in the journal Physical Review X.
General Physics
Sep 11, 2025
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Noise is annoying, whether you're trying to sleep or exploit the laws of quantum physics. Although noise from environmental disturbances will always be with us, a team including scientists at the National Institute of Standards ...
Quantum Physics
Sep 10, 2025
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112
Quantum stochastic rectification is a process observed in some physical systems, which entails the conversion of random quantum fluctuations (i.e., quantum noise) and a small oscillating signal, such as a weak alternating ...
