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2026

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

Anosova, O. D., Widdowson, D. E., & Kurlin, V. A. (2026). Recognition of near-duplicate periodic patterns by continuous metrics with approximation guarantees. PATTERN RECOGNITION, 171. doi:10.1016/j.patcog.2025.112108

DOI: 10.1016/j.patcog.2025.112108
: Journal article

Continuous invariant-based asymmetries of periodic crystals quantify deviations from higher symmetry

DOI: 10.48550/arxiv.2510.13746
: Preprint

Seeing Through Ice

Anosova, O., & Senechal, M. (2026). Seeing Through Ice. The Mathematical Intelligencer. doi:10.1007/s00283-025-10499-7

DOI: 10.1007/s00283-025-10499-7
: Journal article

2025

Geometric Data Science

DOI: 10.48550/arxiv.2512.05040
: Preprint

Duplicate entries in the Protein Data Bank: how to detect and handle them

Wlodawer, A., Dauter, Z., Rubach, P., Minor, W., Jaskolski, M., Jiang, Z., . . . Kurlin, V. (2025). Duplicate entries in the Protein Data Bank: how to detect and handle them. ACTA CRYSTALLOGRAPHICA SECTION D-STRUCTURAL BIOLOGY, 81, 170-180. doi:10.1107/S2059798325001883

DOI: 10.1107/S2059798325001883
: Journal article

Estimating the burden of underdiagnosis within England: A modelling study of linked primary care data.

Anosova, O., Head, A., Collins, B., Alexiou, A., Darras, K., Sutton, M., . . . Kypridemos, C. (2025). Estimating the burden of underdiagnosis within England: A modelling study of linked primary care data.. PloS one, 20(1), e0313877. doi:10.1371/journal.pone.0313877

DOI: 10.1371/journal.pone.0313877
: Journal article

A Complete and Bi-Continuous Invariant of Protein Backbones under Rigid Motion

Anosovaa, O., Gorelov, A., Jeffcott, W., Jiang, Z., & Kurlin, V. (2025). A Complete and Bi-Continuous Invariant of Protein Backbones under Rigid Motion. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 94(1). doi:10.46793/match.94-1.097A

DOI: 10.46793/match.94-1.097A
: Journal article

2024

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

: Preprint

Richard Feynman's visual hint gave birth to a new area of continuous crystallography

Anosova, O., & Kurlin, V. (2024). Richard Feynman's visual hint gave birth to a new area of continuous crystallography. Acta Crystallographica Section A Foundations and Advances, 80(a1), e630. doi:10.1107/s2053273324093690

DOI: 10.1107/s2053273324093690
: Journal article

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

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

An Isometry Classification of Periodic Point Sets

Anosova, O., & Kurlin, V. (2021). An Isometry Classification of Periodic Point Sets. In DISCRETE GEOMETRY AND MATHEMATICAL MORPHOLOGY, DGMM 2021 Vol. 12708 (pp. 229-241). doi:10.1007/978-3-030-76657-3_16

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