Yu-Ting Chen

Schrodinger operators with delta-function potentials have a long history in the literature and also receive renewed interest in other areas, such as the Kardar–Parisi–Zhang equation. Such operators have the characteristics for allowing closed...

Feynman’s path integral expresses the probability amplitude of a quantum mechanical system as a “sum of trajectories” of the classical system. Since this integral has not been given a satisfactory mathematical meaning, a widely accepted treatment is...

Abstract We study two of the simple rules on finite graphs under the death-birth updating and the imitation updating discovered by Ohtsuki, Hauert, Lieberman, and Nowak [\emph{Nature} {\bf 441} (2006) 502-505]. Each rule specifies a payoff-ratio...