An elegant new equation identifies the surprisingly orderly, mathematical way in which things break, shatter, and fall apart.
Avi Wigderson, an award-winning computer scientist and mathematician, gave a lecture on “randomness” at Stony Brook ...
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 ...
Understanding whether nature is deterministically predetermined or there are intrinsically random processes is a fundamental question that has attracted the interest of multiple thinkers, ranging from ...
CATALOG DESCRIPTION: Advanced topics in random processes: point processes, Wiener processes; Markov processes, spectral representation, series expansion of random processes, linear filtering, Wiener ...
Several economic and financial time series are bounded by an upper and lower finite limit (e.g., interest rates). It is not possible to say that these time series are random walks because random walks ...
CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
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