We prove that the SLE? loop measure arises naturally from conformal welding of two ?-Liouville quantum gravity (LQG) disks for ?2=??(0,4). The proof relies on our companion work LQG and uses as an essential tool concept uniform embedding surfaces. Combining result with Gwynne Miller, we get random quadrangulations decorated by a self-avoiding polygon converge in scaling limit to sphere SLE8?3 l...

In concurrency theory, various semantic equivalences on labelled transition systems are based on traces enriched or decorated with some additional observations. They are generally referred to as decorated traces, and examples include ready, failure, trace and complete trace equivalence. Using the generalized powerset construction, recently introduced by a subset of the authors [13], we give a c...

Title of dissertation: MODELING THE ANISOTROPY OF STEP FLUCTUATIONS ON SURFACES: THEORETICAL STEP STIFFNESS CONFRONTS EXPERIMENT Timothy J. Stasevich Doctor of Philosophy, 2006 Dissertation directed by: Professor Theodore L. Einstein Department of Physics In this thesis we study the anisotropy of step stiffness: an important parameter describing the fluctuations of surface steps within the cont...

Endothelialization of therapeutic cardiovascular implants is essential for their intravascular hemocompatibility. We previously described a novel nanowell-RGD-nanoparticle ensemble, which when applied to surfaces led to enhanced endothelialization and retention under static conditions and low flow rates. In the present study we extend our work to determine the interrelated effects of flow rate ...

Superhydrophobic surfaces decorated with macrostructures have presented remarkable potential in diverse engineering fields, such as aircraft anti-icing. Understanding the effects of structure shape and size on droplet dynamics is crucial to design application surfaces. Herein, we investigate maximum axial spreading for droplets impacting ridged superhydrophobic varied ridge shapes sizes. We pro...

Alumina (Al2O3) decorated anatase TiO2 nanotubes with ordered mesoporous pore walls (Al2O3/meso-TiO2 nanotubes) are successfully synthesized through vacuum pressure induction technology, and then combined with the thermal decomposition of a mesoporous TiO2 sol precursor, inside the cylindrical nanochannels of an anodic aluminium oxide (AAO) template. The decorated Al2O3 was formed by in situ de...

One can check that every tree which is finite is also finite-order. The following propositions are true: (1) For every decorated tree t holds t ε = t. (2) For every tree t and for all finite sequences p, q of elements of such that p q ∈ t holds t (p q) = t p q. (3) Let t be a decorated tree and let p, q be finite sequences of elements of . If p q ∈ dom t, then t (p q) = t p q. A decorated tree ...

Droplets’ impinging on a solid surface is common phenomenon in industry and agriculture. With the development of micro nano technology, quantitative descriptions behaviors for nanodroplets are expected to be further explored. Molecular dynamics (MD) simulation adopted investigate water cooper surfaces which have been decorated with square nanopillars. The dynamical characteristics analyzed at 5...