Invitation to University of California

University of California , Santa Barbara

University of California Archaeological Survey

Invitation to operadic dynamics

Based on the Gerstenhaber Theory it is clarified how operadic dynamics may be introduced. Operadic observables satisfy the Gerstenhaber algebra identities and their time evolution is governed by the Gerstenhaber-Lax or Gerstenhaber-Heisenberg equation. In this way one can describe classical and quantum time evolution of operations. The notion of an operadic Lax pair is introduced as well.

An Invitation to Play

Parity games and their subclasses and variants pop up in various contexts: μ-calculus, tree automata, program verification [3, 1, 8]. Such games provide only binary information indicating the winning player. However, in classical games theory [12] the emphasis is rather on how much we win or lose. Can we incorporate the information about the profits and losses into parity games?

An Invitation to Topology