368 citations
- G. Dunne21 · h 59
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- Thomas Jefferson National Accelerator FacilityUS18 papers
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14 papers · 1 filter
Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups
Fabrice Baudoin, Maria Gordina, Tai Melcher
We study heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg-like Lie groups. In particular, we show that Cameron-Martin type quasi-invariance results hold in th…
Control of Length and Spatial Functionality of Single-Wall Carbon Nanotube AFM Nanoprobes
Haoyan Wei, Sang Nyon Kim, Minhua Zhao +4
Single-wall carbon nanotube (SWNT) nanofibrils were assembled onto conductive atomic force microscopy (AFM) probes with the help of dielectrophoresis (DEP). This process involved t…
Preferential Forest-assembly of Single-Wall Carbon Nanotubes on Low-energy Electron-beam Patterned Nafion Films
Haoyan Wei, Sang Nyon Kim, Harris L. Marcus +1
With the aid of low-energy (500 eV) electron-beam direct writing, patterns of perpendicularly-aligned Single-wall carbon nanotube (SWNT) forests were realized on Nafion modified su…
Electric field and tip geometry effects on dielectrophoretic growth of carbon nanotube nanofibrils on scanning probes
Haoyan Wei, Anna Craig, Bryan D Huey +2
Single-wall carbon nanotube (SWNT) nanofibrils were assembled onto a variety of conductive scanning probes including atomic force microscope (AFM) tips and scanning tunnelling micr…
A Combinatorial Formula for Rank 2 Cluster Variables
Kyungyong Lee, Ralf Schiffler
Let be any positive integer, and let be indeterminates. We consider the sequence defined by the recursive relation for…
Site-specific Forest-assembly of Single-Wall Carbon Nanotubes on Electron-beam Patterned SiOx/Si Substrates
Haoyan Wei, Sang Nyon Kim, Sejong Kim +3
Based on electron-beam direct writing on the SiOx/Si substrates, favorable absorption sites for ferric cations (Fe3+ ions) were created on the surface oxide layer. This allowed Fe3…