The real trees form a class of metric spaces that extends the class of trees with edge lengths by allowing behavior such as locally infinite total edge length and vertices with infinite branching ...

Why is Christian Science in our name? Our name is about honesty. The Monitor is owned by The Christian Science Church, and we’ve always been transparent about that. The Church publishes the Monitor ...

An international group of researchers from the EPFL (Ecole Polytechnique Fédérale de Lausanne), the University of Texas at Austin and the European Molecular Biology Laboratory in Heidelberg, Germany ...

First observed by botanist Robert Brown in 1827, Brownian Motion describes the continuous, chaotic movement of tiny particles, such as pollen grains, suspended in a medium. This motion results from ...

Let D be the Wiener sausage of width ε around two-sided Brownian motion. The components of two-dimensional reflected Brownian motion in D converge to one-dimensional Brownian motion and iterated ...

In the classic fairy tale, "The Emperor's New Clothes," Hans Christian Andersen uses the eyes of a child to challenge conventional wisdom and help others to see more clearly. In similar fashion, ...

The study of stochastic differential equations (SDEs) has long been a cornerstone in the modelling of complex systems affected by randomness. In recent years, the extension to G-Brownian motion has ...