Computers have helped us prove many theorems, which like the four-color theorem are mostly combinatorial or discrete in nature. For domains like dynamical systems, however, computer-assisted proofs ...

Carlo Rovelli discusses his research on time and his view that it should not appear in the quantum theory of gravity. A Once-in-a-Century Proof: The Kakeya Conjecture Robert Hazen and Michael Wong ...

Introduces undergraduate students to chaotic dynamical systems. Topics include smooth and discrete dynamical systems, bifurcation theory, chaotic attractors, fractals, Lyapunov exponents, ...

Researchers are using reaction networks and dynamical systems to study these hidden patterns in living systems: Reports ...

Imagine a garden filled with every variety of flower in the world — delicate orchids, towering sunflowers, the waxy blossoms of the saguaro cactus and the corpse flower’s putrid eruptions. Now imagine ...

Iteration of a rational function R gives a complex dynamical system on the Riemann sphere. We introduce a C*-algebra 𝓞R associated with R as a Cuntz-Pimsner algebra of a Hilbert bimodule over the ...