Chi Nguyen (UBA)

By the Levy Khintchine formula, any Levy process can be represented as the sum of a linear drift, a Brownian motion and a pure jump process which captures all jumps of the original process. Hence, a continuous Levy process must be a Brownian motion with drift, i.e., of the type L_t=at+\sqrt{\kappa}B_t, where a\in R and B_t is a standard, one-dimensional Brownian motion. In a recent work [DHLZ15], the generalized integral means spectrum have been introduced and computed in the case of SLE_\kappa, which corresponds to a Brownian driving function. The aim of this work is to generalize the results of [DHLZ15] in the presence of a non-zero drift term, i.e., for a driving function of the form L_t=at+\sqrt{\kappa}B_t.

Joint work with Bertrand Duplantier, Yong Han and Michel Zinsmeister.

[DHLZ15] Bertrand Duplantier, Xuan Hieu Ho, Thanh Binh Le and Michel Zinsmeister, Logarithmic Coefficients and Multifractality for Whole Plane SLE. arXiv preprint 2015

Departamento de Matemáticas

Pontificia Universidad Católica de Chile (PUC-Chile)

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Santiago – Chile

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Centro de Modelamiento Matemático (CMM)

Facultad de Ciencias Físicas y Matemáticas (FCFM)