A mathematician who developed formulas to make random processes more predictable and helped to solve an iconic model of complex phenomena has won the 2024 Abel Prize, one of the field’s most coveted ...

While evolution involves changes in organisms that we can observe, they undergo evolution at a deeper level, too. That is, changes affect the "letters" (four different types of chemical units) in the ...

Random walks constitute one of the most fundamental stochastic processes and serve as a versatile framework for modelling a vast array of phenomena across physics, biology, finance and computer ...

CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

In response to the suggestion that the latitudinal gradient in species richness is the result of stochastic processes of species distributions, we created a computer simulation program that enabled us ...

We investigate the relation between the small deviation problem for a symmetric α-stable random vector in a Banach space and the metric entropy properties of the operator generating it. This ...

Silicon photonics uses existing CMOS manufacturing infrastructure and techniques but lacks mature models that take into account known CMOS process variations and their effect on photonic component ...