Similarly, you would pass from top to bottom and from front to back. In “Circles in the Sky,” Cornish, Spergel and Starkman explained how cosmological data might reveal that our universe has topology ...

This connection between topology and dynamics is essential for developing a deeper understanding of the behavior of homeomorphisms on the torus[3]. Research has also delved into the properties of ...

Our methods yield new algorithms for smoothed k-SAT instances with guarantees that match those for the significantly simpler and well-studied model of random formulas. Could an algorithm that seems ...

The Torus project is the next generation of the Open Learning Initiative - a data-driven, course authoring and delivery platform.

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1 ... The study of operator algebras is based on methods from analysis, algebra, and algebraic ...

This valuable study examines the variability in spacing and direction of entorhinal grid cells, providing convincing evidence that such variability helps disambiguate locations within an environment.

It was only after I saw topology that I really understood what I wanted to make my life's work— drawing knots and links and a torus. These were all like very new ideas for me. So I studied all ...

Hamiltonian maps are considered a class of dynamical systems that hold meticulous properties used to model a large number of complex dynamical systems. When time flows in dynamical systems with ...