Memorizing Schröder’s Method as an Efficient Strategy for Estimating Roots of Unknown Multiplicity
In this paper, we propose, to the best of our knowledge, the first iterative scheme with memory for finding roots whose multiplicity is unknown existing in the literature.
A. Cordero, B. Neta, J. Torregrosa
semanticscholar +1 more source
Multiplicity‐1 minmax minimal hypersurfaces in manifolds with positive Ricci curvature [PDF]
We address the one‐parameter minmax construction for the Allen–Cahn energy that has recently lead to a new proof of the existence of a closed minimal hypersurface in an arbitrary compact Riemannian manifold Nn+1$N^{n+1}$ with n≥2$n\ge 2$ (Guaraco's work,
C. Bellettini
semanticscholar +1 more source
The Continuous Spectrum in Discrete Series Branching Laws [PDF]
If $G$ is a reductive Lie group of Harish-Chandra class, $H$ is a symmetric subgroup, and $\pi$ is a discrete series representation of $G$, the authors give a condition on the pair $(G,H)$ which guarantees that the direct integral decomposition of $\pi ...
Harris, Benjamin +2 more
core +3 more sources
Two Formulas for the BR Multiplicity [PDF]
We prove a projection formula, expressing a relative Buchsbaum--Rim multiplicity in terms of corresponding ones over a module-finite algebra of pure degree, generalizing an old formula for the ordinary (Samuel) multiplicity. Our proof is simple in spirit:
Kleiman, Steven L.
core +2 more sources
Multiplicity of Normalized Solutions for the Fractional Schrödinger Equation with Potentials [PDF]
We are concerned with the existence and multiplicity of normalized solutions to the fractional Schrödinger equation (−Δ)su+V(εx)u=λu+h(εx)f(u)inRN,∫RN|u|2dx=a,, where (−Δ)s is the fractional Laplacian, s∈(0,1), a,ε>0, λ∈R is an unknown parameter that ...
Xue Zhang, M. Squassina, Jianjun Zhang
semanticscholar +1 more source
Degeneracy and finiteness theorems for meromorphic mappings in several complex variables [PDF]
In this article, we prove that there are at most two meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)\ (n\geqslant 2)$ sharing $2n+2$ hyperplanes in general position regardless of multiplicity, where all zeros with multiplicities more ...
Quang, Si Duc
core +1 more source
Mathematical and computational modeling in biology at multiple scales [PDF]
A variety of topics are reviewed in the area of mathematical and computational modeling in biology, covering the range of scales from populations of organisms to electrons in atoms. The use of maximum entropy as an inference tool in the fields of biology and drug discovery is discussed.
Cassandra D. M. Churchill +11 more
openaire +3 more sources
The specialization index of a variety over a discretely valued field [PDF]
Let $X$ be a proper variety over a henselian discretely valued field. An important obstruction to the existence of a rational point on $X$ is the index, the minimal positive degree of a zero cycle on $X$.
Kesteloot, Lore, Nicaise, Johannes
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Multiplicity One for Pairs of Prasad–Takloo-Bighash Type [PDF]
Let ${\textrm{E}}/{\textrm{F}}$ be a quadratic extension of non-archimedean local fields of characteristic different from $2$. Let ${\textrm{A}}$ be an ${\textrm{F}}$-central simple algebra of even dimension so that it contains ${\textrm{E}}$ as a ...
P. Broussous, N. Matringe
semanticscholar +1 more source
Two theorems about maximal Cohen--Macaulay modules [PDF]
This paper contains two theorems concerning the theory of maximal Cohen--Macaulay modules. The first theorem proves that certain Ext groups between maximal Cohen--Macaulay modules $M$ and $N$ must have finite length, provided only finitely many ...
Huneke, Craig, Leuschke, Graham J.
core +3 more sources

