Results 61 to 70 of about 32,457 (190)
Spanning Multi‐Asset Payoffs With ReLUs
ABSTRACT We propose a distributional formulation of the spanning problem of a multi‐asset payoff by vanilla basket options. This problem is shown to have a unique solution if and only if the payoff function is even and absolutely homogeneous, and we establish a Fourier‐based formula to calculate the solution.
Sébastien Bossu+2 more
wiley +1 more source
Weak compactness cardinals for strong logics and subtlety properties of the class of ordinals
Abstract Motivated by recent work of Boney, Dimopoulos, Gitman, and Magidor, we characterize the existence of weak compactness cardinals for all abstract logics through combinatorial properties of the class of ordinals. This analysis is then used to show that, in contrast to the existence of strong compactness cardinals, the existence of weak ...
Philipp Lücke
wiley +1 more source
We prove that every bilocal automorphism of a matrix algebra is either an inner automorphism, or an inner anti-automorphism, or it is of a very special degenerate form.
Molnár, Lajos
core
Profinite rigidity for free‐by‐cyclic groups with centre
Abstract A free‐by‐cyclic group FN⋊ϕZ$F_N\rtimes _\phi \mathbb {Z}$ has non‐trivial centre if and only if [ϕ]$[\phi]$ has finite order in Out(FN)${\rm {Out}}(F_N)$. We establish a profinite rigidity result for such groups: if Γ1$\Gamma _1$ is a free‐by‐cyclic group with non‐trivial centre and Γ2$\Gamma _2$ is a finitely generated free‐by‐cyclic group ...
Martin R. Bridson, Paweł Piwek
wiley +1 more source
Asymptotic estimates of large gaps between directions in certain planar quasicrystals
Abstract For quasicrystals of cut‐and‐project type in Rd$\mathbb {R}^d$, it was proved by Marklof and Strömbergsson [Int. Math. Res. Not. IMRN (2015), no. 15, 6588–6617; erratum, ibid. 2020] that the limit local statistical properties of the directions to the points in the set are described by certain SLd(R)$\operatorname{SL}_d(\mathbb {R})$‐invariant ...
Gustav Hammarhjelm+2 more
wiley +1 more source
A Note on Fuzzy Automorphism and Inner Automorphism of Groups
The fuzzification of classical set theory came into existence when Zadeh [1] laid down the concept of a fuzzy set as a generalization of a crisp set. The objective of this paper is to extend the concept of fuzzy endomorphism to fuzzy automorphism.
Narain, Shiv+3 more
openaire +2 more sources
Inner automorphisms of von Neumann algebras [PDF]
It is first shown that a *-automorphism of a factor is inner if and only if it is asymptotically equal to the identity automorphism. Then it is shown that a periodic *-automorphism of a von Neumann algebra ℛ is inner if and only if its fixed point algebra is a normal subalgebra of ℛ.
openaire +4 more sources
On profinite rigidity amongst free‐by‐cyclic groups I: The generic case
Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley +1 more source
Minimality of the inner automorphism group
By [6], a minimal group $G$ is called $z$-minimal if $G/Z(G)$ is minimal. In this paper, we present the $z$-Minimality Criterion for dense subgroups with some applications to topological matrix groups. For a locally compact group $G$, let $\operatorname{Inn}(G)$ be the group of all inner automorphisms of $G,$ endowed with the Birkhoff topology. Using a
Peng, Dekui, Shlossberg, Menachem
openaire +2 more sources
The Picard group in equivariant homotopy theory via stable module categories
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source