10 citations · 30 across the 8 of their papers we have counts for
9 papers
The strength of a geometric simplex
Olga Anosova, Vitaliy Kurlin
The basic input for many real objects is a finite cloud of unordered points. The strongest equivalence between objects in practice is rigid motion in a Euclidean space. A recent po…
Continuous invariant-based asymmetries of periodic crystals quantify deviations from higher symmetry
Surya Majumder, Daniel Widdowson, Yury Elkin +4
Ideal symmetry is known to break down under almost any noise. One measure of asymmetry in a periodic crystal is the relative multiplicity Z' of geometrically non-equivalent units.…
Complete and bi-continuous invariant of protein backbones under rigid motion
Olga Anosova, Alexey Gorelov, William Jeffcott +2
Proteins are large biomolecules that regulate all living organisms and consist of one or several chains. The primary structure of a protein chain is a sequence of amino acid residu…
The importance of definitions in crystallography
Olga Anosova, Vitaliy Kurlin, Marjorie Senechal
This paper was motivated by the articles "Same or different - that is the question" in CrystEngComm (July 2020) and "Change to the definition of a crystal" in the IUCr newsletter (…
Density functions of periodic sequences of continuous events
Olga Anosova, Vitaliy Kurlin
Periodic Geometry studies isometry invariants of periodic point sets that are also continuous under perturbations. The motivations come from periodic crystals whose structures are…
Density functions of periodic sequences
Olga Anosova, Vitaliy Kurlin
Periodic point sets model all solid crystalline materials whose structures are determined in a rigid form and should be studied up to rigid motion or isometry preserving inter-poin…
Recognition of near-duplicate periodic patterns by continuous metrics with approximation guarantees
Olga Anosova, Daniel Widdowson, Vitaliy Kurlin
This paper rigorously solves the challenging problem of recognizing periodic patterns under rigid motion in Euclidean geometry. The 3-dimensional case is practically important for…
Fast predictions of lattice energies by continuous isometry invariants of crystal structures
Jakob Ropers, Marco M Mosca, Olga Anosova +2
Crystal Structure Prediction (CSP) aims to discover solid crystalline materials by optimizing periodic arrangements of atoms, ions or molecules. CSP takes weeks of supercomputer ti…
Introduction to Periodic Geometry and Topology
Olga Anosova, Vitaliy Kurlin
This monograph introduces key concepts and problems in the new research area of Periodic Geometry and Topology for materials applications.Periodic structures such as solid crystall…