Probability & dynamics2010
Rigidity in the statistics of motion
An orbit may look unpredictable, yet several compatible symmetries can sharply limit its possible statistical behavior and constrain arithmetic patterns.
The storyAn award edition
2010
Different contributions. A shared moment in mathematics.
4 medalists — explore each contribution below.
Algebra & representation2010
A geometric proof of an arithmetic identity
The fundamental lemma compares quantities from different groups; a new geometric viewpoint made an elusive bridge in the Langlands program provable.
The storyProbability & dynamics2010
Why critical random patterns preserve angles
At a critical threshold, a random lattice model can acquire continuous symmetries that are absent from its microscopic construction.
The storyAnalysis & PDEs2010
How a collisionless plasma can become quiet
Particles need not stop moving for a collective electric field to fade; phase mixing can produce damping without ordinary friction.
The story