10 research outputs found
The growth exponent for planar loop-erased random walk
Full text linkWe give a new proof of a result of Kenyon that the growth exponent for
loop-erased random walks in two dimensions is 5/4. The proof uses the
convergence of LERW to Schramm-Loewner evolution with parameter 2, and is valid
for irreducible bounded symmetric random walks on any two-dimensional discrete
lattice.Comment: 62 pages, 7 figures; fixed typos, added reference
Optical centres with local vibrational modes created by high temperature annealing of electron irradiated 4H and 6H silicon carbide
No full textDefects in a mixed-habit Yakutian diamond: Studies by optical and cathodoluminescence microscopy, infrared absorption, Raman scattering and photoluminescence spectroscopy
No full textCreation and identification of the two spin states of dicarbon antisite defects in 4H-SiC
No full textOptical centres with local vibrational modes created by high temperature annealing of electron irradiated 4H and 6H silicon carbide
No full textStudies of a mixed-habit Yakutian diamond by optical microscopy, cathodoluminescence topography and photoluminescence, Raman scattering and infrared absorption probings
No full textField emission observed from metal-diamond junctions revealed by atomic force microscopy
No full text
