Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator [PDF]
Abstract and Applied Analysis, 2012 We will study the spectrum for the biharmonic operator involving the laplacian and the gradient of the laplacian with weight, which we call third-order spectrum. We will show that the strict monotonicity of the eigenvalues of the operator , where , holds
Khalil Ben Haddouch +3 more
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Testing strict monotonicity in nonparametric regression [PDF]
Mathematical Methods of Statistics, 2007 A new test for strict monotonicity of the regression function is proposed which is based on a composition of an estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity if and only if the “true” regression function is strictly monotone, and a test based on an L2-distance is ...
Holger Dette
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Existence of minimizers for non-quasiconvex functionals by strict monotonicity
Communications on Pure and Applied Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandro Zagatti
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Strict monotonicity of percolation thresholds under covering maps [PDF]
Annals of Probability, 2019 We answer a question of Benjamini and Schramm by proving that under reasonable conditions, quotienting a graph strictly increases the value of its percolation critical parameter $p_c$. More precisely, let $\mathcal{G}=(V,E)$ be a quasi-transitive graph with $p_c(\mathcal{G})<1$, and let $G$ be a nontrivial group that acts freely on $V$ by graph ...
Martineau, Sébastien, Severo, Franco
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Strict K-monotonicity and K-order continuity in symmetric spaces [PDF]
Positivity, 2017 This paper is devoted to strict $K$- monotonicity and $K$-order continuity in symmetric spaces. Using the local approach to the geometric structure in a symmetric space $E$ we investigate a connection between strict $K$-monotonicity and global convergence in measure of a sequence of the maximal functions.
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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
AxiomsLower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Cui Yunan, Yanli Liu
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A Mechanism of Food‐Web Complexity Emergence Under Multiple Environmental Drivers [PDF]
Ecology and EvolutionUnderstanding the mechanisms that drive the emergence and maintenance of food‐web complexity under multiple environmental drivers is a central challenge in metacommunity ecology.
Guanming Guo, Helin Zhang
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On strict monotonicity of the speed for excited random walks in one dimension
Electronic Communications in Probability, 2015 We give a "direct" coupling proof of strict monotonicity of the speed for 1-dimensional multi-excited random walks with positive speed. This reproves (and extends) a recent result of Peterson without using branching processes.
Mark Holmes
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Strict monotonicity and convergence rate of Titterington’s algorithm for computing D-optimal designs [PDF]
Computational Statistics and Data Analysis, 2010 We study a class of multiplicative algorithms introduced by Silvey et al. (1978) for computing D-optimal designs. Strict monotonicity is established for a variant considered by Titterington (1978). A formula for the rate of convergence is also derived. This is used to explain why modifications considered by Titterington (1978) and Dette et al.
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Strict monotonicity, strict convexity, and strict contractions in the semigroup theory
Journal of Mathematical Analysis and Applications, 1982 Devys, Christophe, Morel, Jean-Michel
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