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
A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding. [PDF]
J Geom AnalGudmundsson S, Lindström A.
europepmc +1 more source
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
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Determination of optimal catheter insertion depth in totally implantable venous access ports via three-dimensional reconstruction of cervicothoracic veins: a cross-sectional retrospective analysis. [PDF]
BMC SurgLv L, Wang X, Song J, Zhu X.
europepmc +1 more source
Validation of ShakeMaps Created From Global Navigation Satellite System (GNSS) Velocities
Earthquake Spectra, Volume 42, Issue 3, August 2026.Ground velocity observations generated through a time difference of Global Navigation Satellite Systems (GNSS) phase observables and orbits have been shown to be comparable to seismic recordings without clipping during intense ground motions. Computing GNSS velocities is also computationally scalable and increases the density of ground motion ...
Jensen V. DeGrande, Brendan W. Crowell
wiley +1 more source
Rigidity Aspects of Penrose's Singularity Theorem. [PDF]
Commun Math PhysGalloway G, Ling E.
europepmc +1 more source
Counting Salem Numbers of Arithmetic Hyperbolic 3-Orbifolds. [PDF]
Bull Braz Math Soc, 2022 Belolipetsky M +3 more
europepmc +1 more source
Totally geodesic Einstein spaces [PDF]
Bulletin of the American Mathematical Society, 1939 openaire +2 more sources
Development of Liquefaction‐Targeted Design Basis in U.S. Seismic Provisions
Earthquake Spectra, Volume 42, Issue 3, August 2026.Seismic design criteria for new buildings in the United States have historically focused on life safety performance objectives through minimizing the potential for structural collapse. Development of design criteria to meet this performance objective has evolved over time, leading to the current, risk‐targeted maximum considered earthquake (MCER ...
Andrew J. Makdisi +8 more
wiley +1 more source
Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]
Entropy (Basel)Fré PG, Sorin AS, Trigiante M.
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