13 citations · 14 across the 6 of their papers we have counts for
6 papers
Voronoi Entropy and long-range order of 2D point sets
Edward Bormashenko, Shraga Shoval, Mark Frenkel +1
The Voronoi Entropy (VE) and the continuous measure of symmetry (CSM) characterize the orderliness of a set of points on a 2D plane. The Voronoi entropy is the Shannon entropy of t…
Continuous Measure of Symmetry as a Dynamic Variable: a New Glance on the Three-Body Problem
Mark Frenkel, Shraga Shoval, Edward Bormashenko
The time evolution of the continuous measure symmetry for the system built of the three bodies interacting via the potential U(r)~1/r is reported. Gravitational and electrostatic i…
Effects of Asymmetric Cooling and Surface Wettability on the Orientation of the Freezing Tip
Anton Starostin, Vladimir Strelnikov, Leonid A. Dombrovsky +3
Freezing of water droplets placed on the bare and superhydrophobic surfaces of polymer wedges are studied both experimentally and computationally. Two-dimensional numerical calcula…
Ramsey Theory and Geometry of Closed Loops
Nir Shvalb, Mark Frenkel, Shraga Shoval +1
We apply the Ramsey theory to the analysis of geometrical properties of closed contours. Consider a set of six points placed on a closed contour. The straight lines connecting thes…
Thermophoretic Levitation of Solid Particles at Atmospheric Pressure
Pritam Kumar Roy, Irina Legchenkova, Leonid A. Dombrovsky +7
Separation and transportation of small particles are important processes in various applications such as the food and pharmaceutical industries. Although mechanical, chemical or el…
A Navigation Function For Uncertain Environment
Shlomi Hacohen, Shraga Shoval, Nir Shvalb
This paper introduces a novel motion planning algorithm for stochastic scenarios. We extend the concept of a navigation function to such scenarios. Our main idea is to consider bot…