Results 71 to 80 of about 123,886 (231)
Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Modeling and Analyzing Urban Networks and Amenities With OSMnx
ABSTRACT OSMnx is a Python package for downloading, modeling, analyzing, and visualizing urban networks and any other geospatial features from OpenStreetMap data. A large and growing body of literature uses it to conduct scientific studies across the disciplines of geography, urban planning, transport engineering, computer science, and others.
Geoff Boeing
wiley +1 more source
The weak Lefschetz property for artinian Gorenstein algebras
Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Moments, sums of squares, and tropicalization
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
Factorizations and minimality of the Calkin Algebra norm for C(K)$C(K)$‐spaces
Abstract For a scattered, locally compact Hausdorff space K$K$, we prove that the essential norm on the Calkin algebra B(C0(K))/K(C0(K))$\mathcal {B}(C_0(K))/\mathcal {K}(C_0(K))$ is a minimal algebra norm. The proof relies on establishing a quantitative factorization for the identity operator on c0$c_0$ through noncompact operators T:C0(K)→X$T: C_0(K)
Antonio Acuaviva
wiley +1 more source
On real and imaginary roots of generalised Okamoto polynomials
Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
wiley +1 more source
Prosoluble subgroups of the profinite completion of the fundamental group of compact 3‐manifolds
Abstract We give a description of finitely generated prosoluble subgroups of the profinite completion of 3‐manifold groups and toral relatively hyperbolic virtually compact special groups.
Lucas C. Lopes, Pavel A. Zalesskii
wiley +1 more source
On extremal problems associated with random chords on a circle
Abstract Inspired by the work of Karamata, we consider an extremization problem associated with the probability of intersecting two random chords inside a circle of radius r,r∈(0,1]$r, \, r \in (0,1]$, where the endpoints of the chords are drawn according to a given probability distribution on S1$\mathbb {S}^1$.
Cynthia Bortolotto, João P. G. Ramos
wiley +1 more source

