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.
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 ...
Understanding randomness is crucial in many fields. From computer science and engineering to cryptography and weather forecasting, studying and interpreting randomness helps us simulate real-world phenomena, design algorithms ...
As the world's energy needs for computing and artificial intelligence continue to increase, developing alternative low-power solutions to traditional computing becomes crucial. Devices that reliably generate randomness, or ...
Nanophysics
May 20, 2025
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146
In a new Physical Review Letters study, researchers propose an experimental approach that could finally determine whether gravity is fundamentally classical or quantum in nature.
Called the Lévy walk (or in some cases the Lévy flight) after mathematician Paul Lévy, it is a type of random wandering that occurs in nature in a wide variety of ways, from predators searching for food to economic, microbiological, ...
General Physics
Feb 18, 2025
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93
Pile up blocks until the tower collapses. But why does the tower always end up collapsing? Is it possible that it can be built ad infinitum? A study published in the International Journal of Solids and Structures explores ...
General Physics
Dec 17, 2024
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84
Researchers have developed a new method to significantly enhance quantum technology performance by using the cross-correlation of two noise sources to extend coherence time, improve control fidelity, and increase sensitivity ...
Quantum Physics
Jul 10, 2024
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221
Researchers from the University of Illinois Urbana-Champaign have recast diffusion in multicomponent alloys as a sum of individual contributions, called "kinosons." Using machine learning to compute the statistical distribution ...
Condensed Matter
May 15, 2024
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70
Researchers have succeeded in developing a technique to quickly search for the optimal quantum gate sequence for a quantum computer using a probabilistic method.
Quantum Physics
May 9, 2024
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140
Researchers at TU Darmstadt have now presented an approach in Proceedings of the National Academy of Sciences (PNAS) that can be used to systematically determine efficient search strategies. It could help to intelligently ...
General Physics
Apr 2, 2024
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122
