Rigidity Theory and Applications

Rigidity Theory.- Generic and Abstract Rigidity.- Rigidity of Molecular Structures: Generic and Geometric Analysis.- Tensegrity Structures: Why are They Stable?.- The Role of Tensegrity in Distance Geometry.- Applications to Networks.- Comparison of Connectivity and Rigidity Percolation.- Rigidity Percolation on Trees.- Rigidity as an Emergent Property of Random Networks: A Statistical Mechanical View.- Granular Matter Instability: A Structural Rigidity Point of View.- Rigidity and Memory in a Simple Glass.- Constraint Theory, Stiffness Percolation and the Rigidity Transition in Network Glasses.- Topologically Disordered Networks of Rigid Polytopes: Applications to Noncrystalline Solids and Constrained Viscous Sintering.- Rigidity Constraints in Amorphization of Singly- and Multiply-Polytopic Structures.- Floppy Modes in Crystalline and Amorphous Silicates.- Generic Rigidity of Network Glasses.- Rigidity Transition in Chalcogenide Glasses.- Rigidity, Fragility, Bond Models and the “Energy Landscape” for Covalent Glassformers.- Entropic Rigidity.- Applications to Proteins.- Molecular Dynamics and Normal Mode Analysis of Biomolecular Rigidity.- Efficient Stochastic Global Optimization for Protein Structure Prediction.- Flexible and Rigid Regions in Proteins.- Flexibly Screening for Molecules Interacting with Proteins.- Studying Macromolecular Motions in a Database Framework: From Structure to Sequence.