Stochastic geometry is an area of mathematics that investigates random spatial patterns and the probabilistic foundations of geometric structures. A key focus within this field is the study of random ...

Random geometry and quantum gravity represent interwoven themes at the frontier of modern mathematical physics. These fields examine the stochastic nature of geometric structures that underpin quantum ...

A stochastic distance measure is defined for a general diffusion process on a parameter space X. This distance is defined by ds2=∑ gijdxidxj where (gij) is the inverse of the covariance matrix of the ...

These are not the kinds of objects that concern Scott Sheffield. Sheffield, a professor of mathematics at the Massachusetts Institute of Technology, studies shapes that are constructed by random ...

This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an ...

In Raiders of the Lost Ark, Indiana Jones must find a secret chamber that contains the legendary Ark of the Covenant. To identify its exact location, Indy must uncover a special map that’s only ...