Strict monotonicity of principal eigenvalues of elliptic operators in Rd and risk-sensitive control [PDF]
Journal des Mathématiques Pures et Appliquées, 2017 This paper studies the eigenvalue problem on $\mathbb{R}^d$ for a class of second order, elliptic operators of the form $\mathscr{L} = a^{ij}\partial_{x_i}\partial_{x_j} + b^{i}\partial_{x_i} + f$, associated with non-degenerate diffusions.
A. Arapostathis +2 more
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Structure of equilibrium states on self‐affine sets and strict monotonicity of affinity dimension [PDF]
, 2016 A fundamental problem in the dimension theory of self‐affine sets is the construction of high‐dimensional measures which yield sharp lower bounds for the Hausdorff dimension of the set.
A. Käenmäki, I. Morris
semanticscholar +4 more sources
Testing strict monotonicity in nonparametric regression [PDF]
, 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.
M. Birke, H. Dette
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Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator
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
doaj +2 more sources
Strict monotonicity and convergence rate of Titterington's algorithm for computing D-optimal designs [PDF]
Computational Statistics & 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).
Yaming Yu
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Strict monotonicity for first passage percolation on graphs of polynomial growth and quasi-trees [PDF]
Annals of Probability, 2022 In 1993 van den Berg and Kesten proved a strict monotonicity theorem for first passage percolation on $\mathbb{Z}^d$, $d \ge 2$: given two probability measures $\nu$ and $\tilde{\nu}$ with finite mean, if $\tilde{\nu}$ is strictly more variable than $\nu$
semanticscholar +1 more source
Essential enhancements in Abelian networks: Continuity and uniform strict monotonicity [PDF]
Annals of Probability, 2020 We prove that in wide generality the critical curve of the activated random walk model is a continuous function of the deactivation rate, and we provide a bound on its slope which is uniform with respect to the choice of the graph.
L. Taggi
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 2023 In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 We suggest an a priori method by introducing the concept of AP - equitable efficiency. The preferences matrix AP , which is based on the partition P of the index set of the objective functions, is given by the decision-maker.
F. Ahmadi +2 more
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