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Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many...
The fusion and spreading of phospholipid bilayers on glass surfaces was investigated as a function of pH and ionic strength. Membrane fusion to the support was favorable at high ionic strength and low...
We present a simple and convenient method for creating fluid supported bilayers which contain oriented and functional photosynthetic reaction centers (RCs). The supported bilayers are prepared by fusi...
Electric fields have been used to manipulate and concentrate glycan-phosphatidyl inositol (GPI)-tethered proteins in planar supported bilayers. Naturally GPI-linked CD48, along with engineered forms o...
A simple method of generating electric field-induced concentration gradients in planar supported bilayers has been developed. Gradients of charged, fluorescently labeled probes were visualized by epif...
We propose a scheme to realize scalable quantum computation in a planar ion crystal confined by a Paul trap. We show that the inevitable in-plane micromotion affects the gate design via three separate...
The Sommerfeld integrals for the electromagnetic fields in the planar boundary between air and a homogeneous, isotropic medium, due to a horizontal and a vertical electric dipole each lying along the ...
Universality theorems for coniguration spaces of planar linkages;
Statement of the main result. We study a two-center two-body problem. Consider two xed centers Q1 and Q2 of masses m1 = m2 = 1 located at distance from each other and two small particles Q3 and Q4...
First return and first hitting times, local times and first intersection times are studied for planar finite horizon Lorentz processes with a periodic configuration of scatte...
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in 1981 whether for the diffusively scaled variant of the modied process convergence to Bro...
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
The purpose of this paper is twofold. First we show that the dynamics ofa Sun-Jupiter-Comet system and under some simplifying assumptions has a semi-infiniteregion of instability. This is done by redu...
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T* in the dual graph G* such that T and T* do not intersect. We show that it is not always possible to find T in ...
Our motivation for studying this problem is threefold: (i) When one fixes r = m = 0, the resulting two parameter family is a normal form for a codimension two bifurcation within the class of planar ...

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