Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Experimental Validation of the Direct Kinematics of a Passive Stewart-Gough Platform with Modified Cardan Joints Using Integrated Absolute Linear Encoders. [PDF]
Sensors (Basel)Bem M, Ude A, Nemec B.
europepmc +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.ABSTRACT Fluid‐filled phase‐field fracture simulations require robust, scalable solvers that can handle strongly nonlinear, non‐smooth mechanics and tightly coupled flow on locally refined meshes. In this work, we develop an adaptive finite element framework for quasi‐static, fluid‐filled phase‐field fractures that combines semi‐smooth Newton methods ...
Leon M. Kolditz +3 more
wiley +1 more source
Development of Design‐Phase Digital Twin for Structural Optimization of a Biomedical Device
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 8, August 2026.A digital twin optimized the structural performance of a multi‐component biomedical device interface by 75%. The work shows that wider adoption of digital twins can accelerate safer, more predictive medical device development across design, verification, and optimization stages.
Tanguy René Pinol +3 more
wiley +1 more source
Landing control of a magnetically actuated robotic catheter on beating heart surface. [PDF]
Sci RepHao R, Cavuşoğlu MC.
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Jacobian problems in differential equations and algebraic geometry
Rocky Mountain Journal of Mathematics, 1982 openaire +2 more sources
Self-supervised reservoir computing with spatial-temporal encoding for identifying critical transitions. [PDF]
Nat CommunYang N, Kurths J, Liu R, Chen P.
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Machine learning and data-driven inverse modeling of metabolomics unveil key processes of active aging. [PDF]
NPJ Syst Biol ApplLi J +8 more
europepmc +1 more source