Publications

Please contact Jean-Luc Thiffeault if you have a relevant paper you'd like added to this list.

publications that use braidlab

• C. I. Mavrogiannis, J. A. DeCastro, and S. S. Srinivasa, Abstracting road traffic via topological braids: Applications to traffic flow analysis and distributed control, The International Journal of Robotics Research. 0(0) (2023).

• J.-L. Thiffeault, Braids and Dynamics, Springer (2022).

• C. I. Mavrogiannis, J. A. DeCastro, and S. S. Srinivasa, Implicit Multiagent Coordination at Uncontrolled Intersections via Topological Braids, in S. M. LaValle et al. (Eds.): WAFR 2022, SPAR 25, pp. 368–384 (2023).

• G. Di Labbio, J.-L. Thiffeault, and L. Kadem, Braids in the heart: global measures of mixing for cardiovascular flows, Flow 2, E12 (2022).

• C. I. Mavrogiannis, J. A. DeCastro, and S. S. Srinivasa, Analyzing Multiagent Interactions in Traffic Scenes via Topological Braids, preprint (2021).

• C. I. Mavrogiannis, J. A. DeCastro, and R. A. Knepper, Implicit Multi-Agent Coordination at Unsignalized Intersections via Topological Inference, preprint (2020).

• M. Filippi, M. Budišić, M. R. Allshouse, S. Atis, J.-L. Thiffeault, and T. Peacock, Using braids to quantify interface growth and coherence in a rotor-oscillator flow, Physical Review Fluids 5, 054504 (2020).

• M. Yeung, D. Cohen-Steiner, and M. Desbrun, Material coherence from trajectories via Burau eigenanalysis of braids, Chaos 30, 033122 (2020).

• J. C. Lynch, pseudo-Anosov homeomorphisms with large topological entropy, PhD Thesis, University of Wisconsin – Madison (2019).

• M. Akpulat and M. Ekinci, Detecting interaction/complexity within crowd movements using braid entropy, Frontiers of Information Technology & Electronic Engineering, 20 (6), 849-861 (2019).

• C. I. Mavrogiannis, Motion Planning for Socially Competent Robot Navigation, PhD Thesis, Cornell University (2019).

• M. Akpulat and M. Ekinci, Determining complexity within the crowd movements, 26th Signal Processing and Communications Applications Conference (SIU), Izmir, Turkey (2018).

• C. I. Mavrogiannis and R. A. Knepper, Multi-agent path topology in support of socially competent navigation planning, The International Journal of Robotics Research (2018).

• J.-L. Thiffeault, The mathematics of taffy pullers, Mathematical Intelligencer 40 (1), 26-35 (2018).

• C. I. Mavrogiannis, W. B. Thomason, and R. A. Knepper, Social momentum: A framework for legible navigation in dynamic multi-agent environments, IEEE/ACM International Conference on Human-Robot Interaction (HRI '18), Chicago IL (2018).

• S. Candelaresi, D. I. Pontin, and G. Hornig, Quantifying the tangling of trajectories using the topological entropy, Chaos 27, 093102 (2017).

• M. Akpulat and M. Ekinci, Observing the entropy of crowd movements, 25th Signal Processing and Communications Applications Conference (SIU), Antalya, Turkey (2017).

• C. I. Mavrogiannisy and R. A. Knepper, Decentralized multi-agent navigation planning with braids, 12th International Workshop on the Algorithmic Foundations of Robotics, San Francisco (2016).

• C. K. Taylor and S. G. Llewellyn Smith, Dynamics and transport properties of three surface quasigeostrophic point vortices, Chaos 26, 113117 (2016).

• S. G. Llewellyn Smith and C. K. Taylor, Interacting SQG vortices and passive scalar transport, 8th International Symposium on Stratified Flows, San Diego (2016).

• N. Francois, H. Xia, H. Punzmann, B. Faber, and M. Shats, Braid entropy of two-dimensional turbulence, Scientific Reports 5, 18564 (2015).

• J.-B. Caussin and D. Bartolo, Braiding a flock: winding statistics of interacting flying spins, Physical Review Letters 114, 258101 (2015).

• M. Budišić and J.-L. Thiffeault, Finite-time braiding exponents, Chaos 25, 087407 (2015).

publications related to applications of braids

• S. E. Tumasz and J.-L. Thiffeault, Topological entropy and secondary folding, Journal of Nonlinear Science 23 (3), 511–524 (2013).

• M. R. Allshouse and J.-L. Thiffeault, Detecting coherent structures using braids, Physica D 241, 95–105 (2012).

• J. G. Puckett, F. Lechenault, K. E. Daniels, and J.-L. Thiffeault, Trajectory entanglement in dense granular materials, Journal of Statistical Mechanics: Theory and Experiment 2012 (6), P06008 (2012).

• S. E. Tumasz, Topological stirring, PhD Thesis, University of Wisconsin -- Madison (2012).

• M. D. Finn and J.-L. Thiffeault, Topological optimization of rod-stirring devices, SIAM Review 53 (4), 723-743 (2011).

• J.-L. Thiffeault, Braids of entangled particle trajectories, Chaos 20, 017516 (2010).

• M. Beltran del Rio, S. Nechaev, and M. Taran, KPZ scaling in topological mixing, arXiv:1002.1791 (2010).

• T. Hall and S. O. Yurttas, On the topological entropy of families of braids, Topology and its Applications 156 (8), 1554-1564 (2009).

• J.-L. Thiffeault, M. D. Finn, E. Gouillart, and T. Hall, Topology of chaotic mixing patterns, Chaos 18, 033123 (2008).

• J.-L. Thiffeault and M. D. Finn, Topology, braids, and mixing in fluids, Philosophical Transactions of the Royal Society A 364, 3251-3266 (2006).

• E. Gouillart, J.-L. Thiffeault, and M. D. Finn, Topological Mixing with Ghost Rods, Physical Review E 73, 036311 (2006).

• J.-L. Thiffeault, Measuring topological chaos, Physical Review Letters 94, 084502 (2005).

• S. K. Nechaev, Statistics of Knots and Entangled Random Walks, World Scientific (1996).