Results 101 to 110 of about 210 (153)
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
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Recent Advances in DNA Origami-Engineered Nanomaterials and Applications. [PDF]
Chem Rev, 2023 Zhan P +11 more
europepmc +1 more source
Radiation‐Free In‐Gap Finite Barrier Bound States in a Lithium Niobate‐Based Honeycomb Lattice
Nanophotonics, Volume 15, Issue 15, 13 August 2026.This work demonstrates radiation‐free finite barrier bound states (FBBSs), successfully overcoming the high propagation loss challenge inherent in conventional FBBS designs while enabling flexible electro‐optic tunability. These findings establish a versatile platform for on‐chip integrated, high‐modulation‐efficiency electro‐optic modulators and ...
Yiru Du +8 more
wiley +1 more source
Statistical Mechanics of Linear <i>k</i>-mer Lattice Gases: From Theory to Applications. [PDF]
Entropy (Basel)Riccardo JJ +3 more
europepmc +1 more source
Protein Function Analysis through Machine Learning. [PDF]
Biomolecules, 2022 Avery C +4 more
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
wiley +1 more source
Controlling disorder in self-assembled colloidal monolayers via evaporative processes.
Nanoscale, 2022 Roach L +6 more
europepmc +1 more source