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2024

Complete and bi-continuous invariant of protein backbones under rigid motion

: Preprint

The importance of definitions in crystallography.

Anosova, O., Kurlin, V., & Senechal, M. (2024). The importance of definitions in crystallography.. IUCrJ, 11(Pt 4), 453-463. doi:10.1107/s2052252524004056

DOI: 10.1107/s2052252524004056
: Journal article

The importance of definitions in crystallography

: Preprint

2023

Density functions of periodic sequences of continuous events

Anosova, O., & Kurlin, V. (2023). Density functions of periodic sequences of continuous events. Journal of Mathematical Imaging and Vision.

: Journal article

2022

Density Functions of Periodic Sequences

Anosova, O., & Kurlin, V. (2022). Density Functions of Periodic Sequences. In Unknown Conference (pp. 395-408). Springer International Publishing. doi:10.1007/978-3-031-19897-7_31

DOI: 10.1007/978-3-031-19897-7_31
: Conference Paper

A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments

Bright, M., Anosova, O., & Kurlin, V. (2022). A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 62(8), 1217-1233. doi:10.1134/S0965542522080024

DOI: 10.1134/S0965542522080024
: Journal article

Fast Predictions of Lattice Energies by Continuous Isometry Invariants of Crystal Structures

Ropers, J., Mosca, M. M., Anosova, O., Kurlin, V., & Cooper, A. I. (2022). Fast Predictions of Lattice Energies by Continuous Isometry Invariants of Crystal Structures. In Unknown Conference (pp. 178-192). Springer International Publishing. doi:10.1007/978-3-031-12285-9_11

DOI: 10.1007/978-3-031-12285-9_11
: Conference Paper

Recognition of near-duplicate periodic patterns by continuous metrics with approximation guarantees

: Preprint

Density functions of periodic sequences

Anosova, O., & Kurlin, V. (2022). Density functions of periodic sequences. Retrieved from http://arxiv.org/abs/2205.02226v1

: Conference Paper

2021

A unique and continuous code of all periodic crystals

Anosova, O., Widdowson, D., & Kurlin, V. (2021). A unique and continuous code of all periodic crystals. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 77 (pp. C427). Retrieved from https://www.webofscience.com/

: Conference Paper

Introduction to invariant-based machine learning for periodic crystals

Ropers, J., Mosca, M. M., Anosova, O., & Kurlin, V. (2021). Introduction to invariant-based machine learning for periodic crystals. In ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES Vol. 77 (pp. C671). Retrieved from https://www.webofscience.com/

: Conference Paper

Fast predictions of lattice energies by continuous isometry invariants of crystal structures

: Preprint

Introduction to Periodic Geometry and Topology

: Preprint

An Isometry Classification of Periodic Point Sets

Anosova, O., & Kurlin, V. (2021). An Isometry Classification of Periodic Point Sets. In Unknown Conference (pp. 229-241). Springer International Publishing. doi:10.1007/978-3-030-76657-3_16

DOI: 10.1007/978-3-030-76657-3_16
: Conference Paper

2020

A Proof of the Invariant Based Formula for the Linking Number and its Asymptotic Behaviour

Bright, M., Anosova, O., & Kurlin, V. (2020). A Proof of the Invariant Based Formula for the Linking Number and its Asymptotic Behaviour. Retrieved from http://arxiv.org/abs/2011.04631v3

: Conference Paper