Localization of ux lines to splayed columnar pins is studied. A sine-Gordon type renormalization group study reveals the existence of a Splay glass phase and yields an analytic form for the transition temperature into the glass phase. As an independent test, the I V characteristics are determined via a Molecular Dynamics code. The glass transition temperature supports the RG results convincingl...

Splay trees are widely considered as the classic examples of self-adjusting binary search trees and are part of probably every course on data structures and algorithms. Already in the first seminal paper on splay trees [7] alternative operations were introduced, among which semi-splaying. On the one hand the analysis of semi-splaying gives a smaller constant for the amortized complexity, howeve...

Bipolar liquid crystal drops moving inside microchannels exhibit periodic director field transformations due to induced circulating flows inside them. These modifications are characterized by changes in the type of point surface disclinations; they periodically change from splay to bend disclinations, implying the drop changes between bipolar and escaped concentric configurations. Upon stopping...

We establish a computational approach to extract the bending modulus, KC , for lipid membranes from relatively small-scale molecular simulations. Fluctuations in the splay of individual pairs of lipids faithfully inform on KC in multicomponent membranes over a large range of rigidities in different thermodynamic phases. Predictions are validated by experiments even where the standard spectral a...