Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
In this paper, we study Gaussian multiplicative chaos in the critical case. We show that the so-called derivative martingale, introduced in the context of branching Brownian motions and branching random walks, converges almost surely (in all dimensions) to a random measure with full support. We also...
Main Authors: | Duplantier, Bertrand (Author), Rhodes, Rémi (Author), Vargas, Vincent (Author), Sheffield, Scott Roger (Contributor) |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics (Contributor) |
Format: | Article |
Language: | English |
Published: |
Institute of Mathematical Statistics,
2018-05-11T18:34:54Z.
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Subjects: | |
Online Access: | Get fulltext |
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