Results 11 to 20 of about 39 (39)
ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz +2 more
wiley +1 more source
Row‐Aware Randomized SVD With Applications
ABSTRACT The randomized singular value decomposition proposed in [28] has certainly become one of the most well‐established randomization‐based algorithms in numerical linear algebra. The key ingredient of the entire procedure is the computation of a subspace which is close to the column space of the target matrix A∈ℝm×n$$ \mathbf{A}\in {\mathbb{R}}^{m\
Davide Palitta, Sascha Portaro
wiley +1 more source
On the Milnor fibres of initial forms of topologically equivalent holomorphic functions
Abstract Budur, Fernández de Bobadilla, Le, and Nguyen in 2022 conjectured that if two germs of holomorphic functions are topologically equivalent, then the Milnor fibres of their initial forms are homotopy equivalent. In this paper, we give an affirmative answer to this conjecture in the case of plane curves.
José Edson Sampaio
wiley +1 more source
Polymatroidal tilings and the Chow class of linked projective spaces
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley +1 more source
Moments of L$L$‐functions via a relative trace formula
Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
wiley +1 more source
Graph potentials and topological quantum field theories
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Conformal Coordinates for Molecular Geometry: From 3D to 5D
The figure illustrates the conformal representation of ℝ3$$ {\mathbb{R}}^3 $$ in a non‐Euclidean five‐dimensional space ℍ$$ \mathbb{H} $$. Each point x∈ℝ3$$ x\in {\mathbb{R}}^3 $$ is described with two additional vectors, e0$$ {e}_0 $$ and e∞$$ {e}_{\infty } $$, so that Euclidean distances in ℝ3$$ {\mathbb{R}}^3 $$ can be recovered via inner products ...
Jesus Camargo +2 more
wiley +1 more source
ABSTRACT These last decades piecewise differential systems have been studied intensively, mainly due to their applications. Inside the study of the dynamics of these differential systems, the limit cycles, that is, the isolated periodic orbits inside the set of all periodic orbits of the system, play a main role.
N. Chachapoyas +3 more
wiley +1 more source
A Preconditioner for Solving Linear Programming Problems With Dense Columns
ABSTRACT The Interior‐Point Methods are a class for solving linear programming problems that rely upon the solution of linear systems. At each iteration, it becomes important to determine how to solve these linear systems when the constraint matrix of the linear programming problem includes dense columns.
Catalina J. Villalba +1 more
wiley +1 more source
The cosymplectic Chern–Hamilton conjecture
Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source

