Results 81 to 90 of about 31,076 (193)
Combination theorems for Wise's power alternative
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
Noncommutative topological entropy of endomorphisms of Cuntz algebras II [PDF]
A study of noncommutative topological entropy of gauge invariant endomorphisms of Cuntz algebras began in our earlier work with Joachim Zacharias is continued and extended to endomorphisms which are not necessarily of permutation type.
Skalski, Adam
core
A note on the cohomology of moduli spaces of local shtukas
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley +1 more source
On Partial Groupoids Associated with the Composition of Multilayer Feedforward Neural Networks
In this work, partial groupoids are constructed associated with compositions of multilayer neural networks of direct signal distribution (hereinafter simply neural networks). The elements of these groupoids are tuples of a special type. Specifying such a
A.V. Litavrin, T. V. Moiseenkova
doaj +1 more source
The shift‐homological spectrum and parametrising kernels of rank functions
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source
Hom ω$\omega$‐categories of a computad are free
Abstract We provide a new description of the hom functor on weak ω$\omega$‐categories, and show that it admits a left adjoint that we call the suspension functor. We then show that the hom functor preserves the property of being free on a computad, in contrast to the hom functor for strict ω$\omega$‐categories.
Thibaut Benjamin, Ioannis Markakis
wiley +1 more source
Conformal optimization of eigenvalues on surfaces with symmetries
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source
On finiteness conjectures for endomorphism algebras of abelian surfaces
It is conjectured that there exist finitely many isomorphism classes of simple endomorphism algebras of abelian varieties of GL_2-type over \Q of bounded dimension.
Bruin, Nils +3 more
core +1 more source
On Charged Fields with Group Symmetry and Degeneracies of Verlinde's Matrix S [PDF]
We consider the complete normal field net with compact symmetry group constructed by Doplicher and Roberts starting from a net of local observables in >=2+1 spacetime dimensions and its set of localized (DHR) representations.
Mueger, Michael
core +1 more source
Nielsen Type Numbers of Self-Maps on the Real Projective Plane
Employing the induced endomorphism of the fundamental group and using the homotopy classification of self-maps of real projective plane , we compute completely two Nielsen type numbers, (f) and (f), which estimate the number of periodic points of f ...
Wang Jiaoyun
doaj

