Results 31 to 40 of about 181 (138)
Belyi Function whose Grothendieck Dessin is a Flower Tree with Two Ramification Indices
In this paper we present an explicit construction of Belyi functions whose dessins are flower trees (i.e., graphs of diameter 4) with two ramification indices.
Komatsu, Toru
core +1 more source
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Abstract Rate transient analysis (RTA) is a practical and cost‐effective method for CO2 injection data analysis and storage capacity evaluation of saline aquifers. However, the nonlinear behavior introduced by two‐phase CO2–brine flow, coupled with pressure‐dependent fluid and rock properties, significantly limits the applicability of conventional ...
Zhenhua Rui +3 more
wiley +1 more source
Presentations of the braid group of the complex reflection group G(d,d,n)$G(d,d,n)$
Abstract We show that the braid group associated to the complex reflection group G(d,d,n)$G(d,d,n)$ is an index d$d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order d$d$. We also give a compatible presentation of G(d,d,n)$G(d,d,n)$ and its braid group for each tagged triangulation of the disk with ...
Francesca Fedele, Bethany Rose Marsh
wiley +1 more source
Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
We give an elementary, self-contained and quick proof of Belyi's theorem. As a by-product of our proof we obtain an explicit bound for the degree of the defining number field of a Belyi ...
Koeck, Bernhard
core
On the monodromies of N=2 supersymmetric Yang-Mills theory with gauge group SO(2n)
We present families of algebraic curves describing the moduli-space of N\!=\!2 supersymmetric Yang-Mills theory with gauge group SO(2n). We test our curves by computing the weak coupling monodromies and the number of N\!=\!1 vacua.We present families of ...
Brandhuber, A., Landsteiner, K.
core +1 more source
Computations in the moduli space of cuspidal curves
Algebraic curves are fundamental objects in algebraic geometry, and the moduli space of curves tell us how algebraic curves vary in families. The moduli space of smooth curves, denoted Mg,n, parameterizes families of smooth curves of genus g with n ...
Joel Gallegos
core
Tropical Geometric Compactification of Moduli, II: A g Case and Holomorphic Limits
We compactify the classical moduli variety Ag of principally polarized abelian varieties of complex dimension g, by attaching the moduli of flat tori of real dimensions at most g in an explicit manner.
Yuji Odaka
core +1 more source

