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math.PR2016
Volume distribution of nodal domains of random band-limited functions
Dmitry Beliaev, Igor Wigman
We study the volume distribution of nodal domains of random band-limited functions on generic manifolds, and find that in the high energy limit a typical instance obeys a determini…
math-ph2016★ 7 cited
Integral means spectrum of whole-plane SLE
Dmitry Beliaev, Bertrand Duplantier, Michel Zinsmeister
We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means…