Results 71 to 80 of about 267 (215)
Entropy, 2017 We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
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Yang-Yang functions, monodromy and knot polynomials
Journal of High Energy Physics, 2021 We derive a structure of ℤ[t, t −1]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy ...
Peng Liu, Wei-Dong Ruan
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Cross‐Scale Hierarchical Targeted Delivery System Based on Small‐Scale Magnetic Robots
Advanced Robotics Research, EarlyView.This article reviews a cross‐scale hierarchical targeted delivery system that integrates magnetic continuum robots and magnetic microrobots. By combining rapid long‐range navigation with precise microscale targeting, the system overcomes key limitations of single‐scale approaches.
Junjian Zhou +4 more
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Relative Nielsen Numbers, Braids and Periodic Segments
Advanced Nonlinear Studies, 2017 The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
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Quasi-morphisms on the group of area-preserving diffeomorphisms of the $2$-disk via braid groups
Proceedings of the American Mathematical Society, Series B, 2014 Recently Gambaudo and Ghys proved that there exist infinitely many quasi-morphisms on the group 𝐷𝑖𝑓𝑓_{Ω}^{∞}(𝐷²,∂𝐷²) of area-preserving diffeomorphisms of the 2-disk 𝐷².
Tomohiko Ishida
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Journal of Knot Theory and Its Ramifications, 2015 In [Non-reidemeister knot theory and its applications in dynamical systems, geometry, and topology, preprint (2015), arXiv:1501.05208.] the first author gave the definition of [Formula: see text]-free braid groups [Formula: see text]. Here we establish connections between free braid groups, classical braid groups and free groups: we describe ...
Manturov, Vassily Olegovich +1 more
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Strategic Design of Soft Actuators in Translational Medical Robotics for Human‐Centered Healthcare
Advanced Robotics Research, EarlyView.Soft robotics enables biocompatible, compliant medical devices, but clinical translation requires design‐driven engineering beyond materials. This perspective reviews implantable, surgical, and wearable systems by actuation mechanism, highlighting how optimized architectures and integration improve mechanical interfacing, adaptability, and durability ...
Ho Jun Jin +3 more
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Advanced Science, EarlyView.This work introduces a theragenerative 3D‐printed biodegradable stent with Janus nanoarchitecture for spatially controlled vascular healing. A luminal tantalum ion–implanted surface accelerates endothelialization and hemocompatibility, while an abluminal sirolimus/poly‐L‐lactic acid–tantalum layer provides sustained drug release and suppresses smooth ...
Jong Hwa Seo +19 more
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SciPost PhysicsAnyons obeying fractional exchange statistics arise naturally in two dimensions: Hard-core two-body constraints make the configuration space of particles not simply-connected. The braid group describes how topologically-inequivalent exchange paths can be
Sebastian Nagies, Botao Wang, Adam C. Knapp, André Eckardt, Nathan L. Harshman
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CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR $n$ -BODY CHOREOGRAPHIES
Forum of Mathematics, Sigma, 2013 Since the foundational work of Chenciner and Montgomery in 2000 there has been a great deal of interest in choreographic solutions of the $n$ -body problem ...
JAMES MONTALDI, KATRINA STECKLES
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