Heights on ‘hybrid orbits’ in Shimura varieties
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
The Category of Anyon Sectors for Non-Abelian Quantum Double Models. [PDF]
Bols A +3 more
europepmc +1 more source
Syntomic cohomology and real topological cyclic homology
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
Revealing the topological nature of entangled orbital angular momentum states of light. [PDF]
de Mello Koch R +5 more
europepmc +1 more source
Surface and Boundary Corrections in Peridynamics Using Optimized Nodal Influence Weights
ABSTRACT Peridynamics (PD), similarly to some other nonlocal continuum theories, exhibits truncated interaction horizons near free surfaces, cracks, and voids in bounded domains. This loss of neighbors causes artificial surface effects and inconsistencies in the derivative and energy operators that persist under discretization refinement, limiting PD ...
Arman Shojaei +5 more
wiley +1 more source
The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin-Huxley Equations Take Their Form. [PDF]
Melendy RF, Blue DH.
europepmc +1 more source
ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak +3 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Distributed event-triggered robust adaptive formation control of multi-agent rigid bodies on [Formula: see text]. [PDF]
Sharma M, Sakthivel R, Yadav K.
europepmc +1 more source
Isometries of Spacetimes Without Observer Horizons. [PDF]
García-Heveling L, Zeghib A.
europepmc +1 more source

