Publications

Dhruv Saxena, Alexis Arnaudon, Oscar Cipolato, Michele Gaio, Alain Quentel, Sophia Yaliraki, Dario Pisignano, Andrea Camposeo, Mauricio Barahona, Riccardo Sapienza (2022). Sensitivity and spectral control of network lasers. Nature Communications.

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Robert Peach, Alexis Arnaudon, Mauricio Barahona (2022). Relative, local and global dimension in complex networks. Nature Communications.

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Alexander Mangulad Christgau, Alexis Arnaudon, Stefan Sommer (2022). Moment evolution equations and moment matching for stochastic image EPDiff. Journal of Mathematical Imaging and Vision.

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Michael W. Reimann, Sirio Bolaños-Puchet, Jean-Denis Courcol, Daniela Egas Santander, Alexis Arnaudon, Benoı̂t Coste, Thomas Delemontex, Adrien Devresse, Hugo Dictus, Alexander Dietz, András Ecker, Cyrille Favreau, Gianluca Ficarelli, Mike Gevaert, Juan B. Hernando, Joni Herttuainen, James B. Isbister, Lida Kanari, Daniel Keller, James King, Pramod Kumbhar, Samuel Lapere, Jānis Lazovskis, Huanxiang Lu, Nicolas Ninin, Fernando Pereira, Judit Planas, Christoph Pokorny, Juan Luis Riquelme, Armando Romani, Ying Shi, Jason P. Smith, Vishal Sood, Mohit Srivastava, Werner Van Geit, Liesbeth Vanherpe, Matthias Wolf, Ran Levi, Kathryn Hess, Felix Schürmann, Eilif B. Muller, Srikanth Ramaswamy, Henry Markram (2022). Modeling and Simulation of Rat Non-Barrel Somatosensory Cortex. Part I: Modeling Anatomy. bioRxiv preprint: biorxiv:2022.08.11.503144.

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Alexis Arnaudon, Frank van der Meulen, Moritz Schauer, Stefan Sommer (2022). Diffusion bridges for stochastic Hamiltonian systems and shape evolutions. SIAM Journal on Imaging Sciences.

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Alexis Arnaudon, Robert L Peach, Giovanni Petri, Paul Expert (2022). Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes. Communications Physics.

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Lida Kanari, Hugo Dictus, Athanassia Chalimourda, Alexis Arnaudon, Werner Van Geit, Benoit Coste, Julian Shillcock, Kathryn Hess, Henry Markram (2022). Computational synthesis of cortical dendritic morphologies. Cell Reports.

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Adam Gosztolai, Alexis Arnaudon (2021). Unfolding the multiscale structure of networks with dynamical Ollivier-Ricci curvature. Nature Communication.

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Alexis Arnaudon, Darryl Holm, Stefan Sommer (2021). Stochastic Shape Analysis. Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging: Mathematical Imaging and Vision.

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Robert L Peach, Alexis Arnaudon, Julia A Schmidt, Henry A Palasciano, Nathan R Bernier, Kim E Jelfs, Sophia N Yaliraki, Mauricio Barahona (2021). HCGA: Highly comparative graph analysis for network phenotyping. Patterns.

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Eleftherios Zisis, Daniel Keller, Lida Kanari, Alexis Arnaudon, Michael Gevaert, Thomas Delemontex, Benoı̂t Coste, Alessandro Foni, Marwan Abdellah, Corrado Calı̀, others (2021). Digital Reconstruction of the Neuro-Glia-Vascular Architecture.. Oxford University Press (OUP).

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Alessandro Barp, So Takao, Michael Betancourt, Alexis Arnaudon, Mark Girolami (2021). A unifying and canonical description of measure-preserving diffusions. arXiv preprint arXiv:2105.02845.

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Alexis Arnaudon, Darryl D Holm, Stefan Sommer (2020). Stochastic metamorphosis with template uncertainties. Mathematics Of Shapes And Applications.

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Robert L Peach, Alexis Arnaudon, Mauricio Barahona (2020). Semi-supervised classification on graphs using explicit diffusion dynamics. Foundations of Data Science.

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Alexis Arnaudon, Robert L Peach, Mauricio Barahona (2020). Scale-dependent measure of network centrality from diffusion dynamics. Physical Review Research.

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Rauan Akylzhanov, Alexis Arnaudon (2020). Contractions of group representations via geometric quantization. Letters in Mathematical Physics.

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Alexis Arnaudon (2019). An example preprint / working paper.

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Andreas Bock, Alexis Arnaudon, Colin Cotter (2019). Selective metamorphosis for growth modelling with applications to landmarks. International Conference on Geometric Science of Information.

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Alexis Arnaudon, So Takao (2019). Networks of coadjoint orbits: from geometric to statistical mechanics. Journal of Geometric Mechanics.

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Alexis Arnaudon, Alessandro Barp, So Takao (2019). Irreversible Langevin MCMC on lie groups. International Conference on Geometric Science of Information.

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Line Kühnel, Stefan Sommer, Alexis Arnaudon (2019). Differential geometry and stochastic dynamics with deep learning numerics. Applied Mathematics and Computation.

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Alexis Arnaudon, Darryl D Holm, Stefan Sommer (2019). A geometric framework for stochastic shape analysis. Foundations of Computational Mathematics.

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Alexis Arnaudon, Marco Castrillón López, Darryl D Holm (2018). Un-reduction in field theory. Letters in Mathematical Physics.

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Alexis Arnaudon, Nader Ganaba, Darryl Holm (2018). The Stochastic Energy-Casimir Method. Comptes Rendus Mecanique.

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Alexis Arnaudon (2018). Structure preserving noise and dissipation in the Toda lattice. Journal of Physics A: Mathematical and Theoretical.

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Alexis Arnaudon, Darryl Holm, Stefan Sommer (2018). String methods for stochastic image and shape matching. Journal of Mathematical Imaging and Vision.

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Line Kühnel, Alexis Arnaudon, Tom Fletcher, Stefan Sommer (2018). Stochastic image deformation in frequency domain and parameter estimation using moment evolutions. arXiv preprint arXiv:1812.05537.

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Alexis Arnaudon, Alex L De Castro, Darryl D Holm (2018). Noise and dissipation on coadjoint orbits. Journal of Nonlinear Science.

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Manickam Saravanan, Alexis Arnaudon (2018). Engineering solitons and breathers in a deformed ferromagnet: Effect of localised inhomogeneities. Physics Letters A.

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Alexis Arnaudon, John D Gibbon (2017). Integrability of the hyperbolic reduced Maxwell-Bloch equations for strongly correlated Bose-Einstein condensates. Physical Review A.

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Alexis Arnaudon, Darryl D Holm, Rossen I Ivanov (2017). G-Strands on symmetric spaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

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Stefan Sommer, Alexis Arnaudon, Line Kühnel, Sarang Joshi (2017). Bridge Simulation and Metric Estimation on Landmark Manifolds. MFCA2017.

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Alexis Arnaudon, Darryl D Holm, Akshay Pai, Stefan Sommer (2017). A Stochastic Large Deformation Model for Computational Anatomy. Information Processing in Medical Imaging.

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Alexis Arnaudon (2016). On a Lagrangian reduction and a deformation of completely integrable systems. Journal of Nonlinear Science.

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Alexis Arnaudon (2016). On a deformation of the nonlinear Schrödinger equation. Journal of Physics A: Mathematical and Theoretical.

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Yves Revaz, Alexis Arnaudon, Matthew Nichols, Vivien Bonvin, Pascale Jablonka (2016). Computational issues in chemo-dynamical modelling of the formation and evolution of galaxies. Astronomy & Astrophysics.

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Alexis Arnaudon, Robert Ford (2015). An example journal article. Journal of Source Themes, 1(1).

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Alexis Arnaudon (2015). The stochastic integrable AKNS hierarchy. arXiv preprint arXiv:1511.07080.

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Alexis Arnaudon, Alex L De Castro, Darryl D Holm (2015). Noise and dissipation in rigid body motion. Workshop Classic and Stochastic Geometric Mechanics.

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A Arnaudon, M Castrillón López, DD Holm (2015). Covariant un-reduction for curve matching. MFCA2015.

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Alexis Arnaudon, Robert Ford (2013). An example conference paper. In ICW.

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