Discover how Markov chains predict real systems, from Ulam and von Neumann’s Monte Carlo to PageRank, so you can grasp ...

By operating in the gray zone, states preserve escalation optionality, avoid reputation-locking commitments, and retain the ability to shift posture without incurring sudden political or strategic ...

Quantum walks sound abstract, but they sit at the center of a very concrete race: who will harness quantum mechanics to solve ...

What’s the perfect number of cards for playing poker? According to a new mathematical discovery, the answer is the ...

Mathematicians rely on numbers, but finding words to explain different levels of certainty has stymied everyone from the ...

Humans respond to environments that change at many different speeds. A video game player, for example, reacts to on-screen ...

The fellowships are part of the Simons Foundation’s efforts to advance the frontiers of research in mathematics, theoretical physics, and theoretical computer science James P. McIntyre Professor of ...

Simulates water in a ripple tank. Demonstrates basic wave mechanics: wave reflection, diffraction, and superimposition. Press "P" to pause the simulation and "R" to reset it. Left-click to add a drop ...