Branching processes and random walks constitute two foundational pillars of stochastic analysis, uniting probabilistic theory with applications across biology, physics, computer science and network ...

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

Branching processes in random environments (BPREs) extend classical Galton–Watson models by allowing the reproduction law to vary according to a sequence of random factors. In each generation, the ...

The title probably doesn't make a lot of sense, so let me lay out what I'm doing. I'm in the early stages of creating a framework for generating test data for a specific problem domain. One of the ...

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 ...

Random processes take place all around us. It rains one day but not the next; stocks and bonds gain and lose value; traffic jams coalesce and disappear. Because they’re governed by numerous factors ...

In a first-of-its-kind experiment, engineers at the University of Pennsylvania brought quantum networking out of the lab and onto commercial fiber-optic cables using the same Internet Protocol (IP) ...

Cancer is often seen as a disease that arises from genetic mutations causing cells to divide uncontrollably and invade other parts of the body. But the spread of cells away from their origins is ...