In 1985, Sleator and Tarjan introduced the splay tree, a self-adjusting binary search tree algorithm. Splay trees were conjectured to perform within a constant factor as any offline rotation-based search tree algorithm on every sufficiently long sequence—any binary search tree algorithm that has this property is said to be dynamically optimal. However, currently neither splay trees nor any othe...

The emergence and stability of splay states is studied in fully coupled finite networks of N excitable quadratic integrate-and-fire neurons, connected via synapses modeled as pulses of finite amplitude and duration. For such synapses, by introducing two distinct types of synaptic events (pulse emission and termination), we were able to write down an exact event-driven map for the system and to ...

The elastic theory of a uniaxial membrane in an asymmetric environment predicts a spontaneous splay deformation. This spontaneous curvature of the membrane is discussed by the intrinsic splay of the membrane molecules (e.g. wedge shaped molecules) and their polar orientation. The chemoelastic effect if the polar orientation induced by the asymmetric environment in connection with the intrinsic ...

We consider the condensation transition of microemulsion droplets of oil which are dispersed in water in the presence of surfactant. Since a macroscopic oil phase is formed due to this transition, it is called "emulsification failure." Based on the free energy approach, we determine the transition lines between the spherical and the cylindrical droplet phases as well as the phase boundary lines...

The frontal thrust of the Oregon accretionary prism scrapes off about 2 km of incoming sedimentary section and underlies a fault-bend fold of the first ridge landward of the abyssal plain. Scarps with associated chemosynthetic biological communities at the surface and pore-water anomalies at depth indicate that the frontal thrust is tectonically and hydrologically active. At Site 891, near seis...

In this work, we study dynamical behavior in a ring of coupled nonlinear oscillators and focus on the stability of homogeneous steady state and splay states by performing linear stability analysis. Different cases from local (nearest-neighbor) coupling to global (all-to-all) coupling by increasing the range of coupling are studied. Some explicit stability results for each possible splay state a...

This paper presents SPLAY, an integrated system that facilitates the design, deployment and testing of largescale distributed applications. Unlike existing systems, SPLAY covers all aspects of the development and evaluation chain. It allows developers to express algorithms in a concise, simple language that highly resembles pseudocode found in research papers. The execution environment has low ...

We show how frustrations in molecular packing generated by molecular substitutions and electrostatic potentials necessitate a local C1 symmetry and lead to spontaneous polarization splay and layer bending in bent-core liquid crystals. By estimation of the entropic changes due to curvature, we calculated the elastic constants that drive the spontaneous layer bend and polarization splay and obtai...