Brownian motion at short time scales

Brownian motion at short time scales

Brownian Motion at Fast Time Scales and Thermal Noise Imaging

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Short Timescale Effects in Brownian Motion

To my beautiful family, for all the help they have given me.

Brownian motion in short range random potentials

A. H. Romero and J. M. Sancho Department of Physics, University of California, San Diego, La Jolla, California 92093-0354 Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093-0340 Institute for Nonlinear Science, Department 0407, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0407 and Departament d’Estructu...

Liouville Brownian motion at criticality

In this paper, we construct the Brownian motion of Liouville Quantum gravity when the underlying conformal field theory has a c = 1 central charge. Liouville quantum gravity with c = 1 corresponds to two-dimensional string theory and is the conjectural scaling limit of large planar maps weighted with a O(n = 2) loop model or a Q = 4-state Potts model embedded in a two dimensional surface in a c...