作者：Berman, Robert; Boucksom, Sebastien; Nystrom, David Witt
作者单位：Chalmers University of Technology; University of Gothenburg; Sorbonne Universite; Centre National de la Recherche Scientifique (CNRS)
摘要：Building on [BB1] we prove a general criterion for convergence of (possibly singular) Bergman measures towards pluripotential-theoretic equilibrium measures on complex manifolds. The criterion may be formulated in terms of the growth properties of the unit-balls of certain norms on holomorphic sections, or equivalently as an asymptotic minimization property for generalized Donaldson L-functionals. Our result settles in particular a well-known conjecture in pluripotential theory concerning the ...
作者：Tao, Terence; Vu, Van
作者单位：University of California System; University of California Los Angeles; Rutgers University System; Rutgers University New Brunswick
作者：Mouhot, Clement; Villani, Cedric
作者单位：University of Cambridge
摘要：Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish exponential Landau damping in analytic regularity. The damping phenomenon is reinterpreted in terms of transfer of regularity between kinetic and spatial variables, rather than exchanges of energy; phase mixing is the driving mechanism. The analysis involves new families of analytic norms, measuring regularity by comparison with solutions of the free transport equation;...
