Multi-scale structural complexity of natural patterns


Thursday, March 7, 2024
11:00 - 12:00


Complexity of a pattern or a system is a very intuitive concept that, at the same time, is very elusive when one attempts to give a formal definition of it. In nature, a distinctive feature of complex systems is the multi-level hierarchy of organization, with different levels being drastically different from each other (think, e.g., of the levels of organelles, cells, tissues, and organs in a human body). In this talk, I will review the measure of structural complexity of complex systems based on the idea of their inter-scale self-dissimilarity introduced by us a few years ago [1]. I will show how this measure can be used to quantify perceptive psychological complexity of patterns, to describe phase transitions in classical and quantum systems, and to address the problem of verification of quantum many-body states. If time allows, I will cover some of recent applications of this concept in diverse contexts such as time series analysis and quantum simulators.

[1] Bagrov, A. A., Iakovlev, I. A., Iliasov, A. A., Katsnelson, M. I., & Mazurenko, V. V. (2020). Multiscale structural complexity of natural patterns. Proceedings of the National Academy of Sciences, 117(48), 30241-30251.

This is a hybrid event, join online through:


Dutch Institute for Emergent Phenomena (DIEP)


IAS second floor library room


Group Seminar


complexity, computational physics, emergence, soft matter


Andrey Bagrov

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