4 papers
Compositional Complexity-Induced Ultralow Friction in Medium-Entropy MXenes
Jiaoli Li, Yuwei Zhang, Congjie Wei +11
Two-dimensional MXenes are promising solid lubricants, but the roles of compositional complexity and surface chemistry in governing interfacial friction remain unclear. Here, we sy…
Exact Solvability via the KP Hierarchy for Random Matrix Ensembles
Christopher D. Sinclair
Random matrix ensembles with Dyson index describe systems of charge- particles interacting logarithmically in the presence of an external potential, yet exact form…
Hyperpfaffian Correlations for Beta-Ensembles: Beta an Even Square Integer
Christopher D. Sinclair, Jonathan M. Wells
We give a hyperpfaffian formulation for correlation functions in -ensembles arising in random matrix theory and statistical mechanics when is an even square integer. Mo…
Electrostatics on Branching Processes
Christopher D. Sinclair
We introduce a random probability measure on the profinite completion of the random tree of a branching process and introduce the canonical and grand canonical ensembles of random…