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Orbit Dynamics, Stability and Chaos in Planetary Systems
Let us start with a problem of dynamical biology, which was posed about 800 years ago by Fibonacci1 -
Collision Free Motion Planning on Graphs
A topological theory initiated in [4,5] uses methods of algebraic topology to estimate numerically the character of instabilities arising in motion... -
Computing Protein Structures from Electron Density Maps: The Missing Fragment Problem
Rapid protein structure determination relies greatly on the availability of software that can automatically generate a protein model from an... -
Aid of Scaling Laws in the Achievement of a Well-Controlled Film Deposition Process
Scaling laws are profitably applied in all the scientific disciplines. Approximated solutions constitute a valuable aid for the analysis of complex... -
Vibrational Spectroscopy in Ion–Irradiated Carbon–Based Thin Films
In this work we present and discuss some selected experiments on ion–irradiated carbon–based thin films. Vibrational spectroscopy is used to... -
Laser Ablation-Deposited CN x Thin Films
Amorphous CN x thin films were deposited at room temperature by pulsed laser ablation of graphite targets in a... -
Elastic and Structural Properties of Carbon Materials Investigated by Brillouin Light Scattering
Brillouin light scattering (BS) is a nondestructive technique exploited to investigate collective excitations in solids: acoustic phonons, spin... -
Pulsed Laser Deposition of Carbon Films: Tailoring Structure and Properties
Pulsed laser deposition (PLD) is a versatile technique to synthesize films of a given material with strongly different properties. In this chapter we... -
Planet Formation
Motivating the study of planet formation is not difficult for any curious audience. One of the fundamental human questions is that of origins: “where... -
Pareto Optimal Coordination on Roadmaps
Given a collection of robots sharing a common environment, assume that each possesses an individual roadmap for its C-space and a cost function for... -
Coordinating Multiple Droplets in Planar Array Digital Microfluidics System
This paper presents an approach to coordinate the motions of droplets in digital microfluidic systems used for biochemical analysis. A digital... -
Semi-Differential Invariants for Recognition of Albebraic Curves
This paper studies the recognition of low-degree polynomial curves based on minimal tactile data. Differential and semi-differential invariants have... -
Computing Deform Closure Grasps
In prior work, we extended the well-known form closure grasp framework for rigid parts to a class of deformable parts, modeled as frictionless... -
Ion Microscopy on Diamond
Because of its physical properties (strong radiation hardness, wide energy gap with a consequent extremely low dark current, very large electron and... -
Raman Spectroscopy and Optical Properties of Amorphous Diamond-Like Carbon Films
The Raman spectroscopy and optical characterization of amorphous hydrogen-free diamond-like carbon films is described. The samples were prepared by... -
Correlation Between Local Structure and Film Properties in Amorphous Carbon Materials
A discussion of the various amorphous carbon and amorphous hydrogenated carbon films is presented. A link between sp 2, sp... -
Applications of the Correlation Length
The correlation length is the system–dependent parameter, which defines the structure of the dominant current–carrying (electric or fluid) paths.... -
Pressure Saturation Curves and the Critical Volume Fraction for Percolation
The pressure-saturation curves of porous media give fundamental information about the pore space. In equilibrium, ignoring effects due to hysteresis,... -
Effects of Multi-Scale Heterogeneity
It is generally agreed that problems with multi-scale heterogeneity present the biggest challenge to computation and understanding. A few such... -
Electrical Characterization of Rare Earth Oxides Grown by Atomic Layer Deposition
In this contribution, we investigate the electrical properties of thin (3–30 nm) Lu2O3 and Yb2O3 oxides grown on silicon by atomic layer depostion....