New research by University at Buffalo and University of Colorado Boulder mathematicians has uncovered and characterized novel two-dimensional wave patterns — waves that propagate along two directions ...

Using a sophisticated type of mathematics, scientists have uncovered a universe of multi-dimensional geometrical structures and spaces within the networks of the brain. This research has significant ...

Develops and analyzes approximate methods of solving the Bayesian inverse problem for high-dimensional dynamical systems. After briefly reviewing mathematical foundations in probability and statistics ...

With style and content accessible to beginning students interested in geometric topology, each chapter centers around a key theorem or theorems. The particular braid foliation techniques needed to ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Scientists at Fudan University, Peking University, and the Shanghai Academy of AI for Science ...