Results 71 to 80 of about 616,982 (218)
Quantitative stability for the Brunn–Minkowski inequality [PDF]
Advances in Mathematics, 2017 We prove a quantitative stability result for the Brunn-Minkowski inequality: if $|A|=|B|=1$, $t \in [ ,1- ]$ with $ >0$, and $|tA+(1-t)B|^{1/n}\leq 1+ $ for some small $ $, then, up to a translation, both $A$ and $B$ are quantitatively close (in terms of $ $) to a convex set $K$.
Figalli, Alessio, Jerison, David S.
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Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, EarlyView.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
, 2013 Let K \subset R^N be a convex body containing the origin. A measurable set G \subset R^N with positive Lebesgue measure is said to be uniformly K-dense if, for any fixed r > 0, the measure of G \cap (x + rK) is constant when x varies on the boundary of G
CM Petty +15 more
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Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets
International Journal of Robust and Nonlinear Control, Volume 36, Issue 1, Page 428-438, 10 January 2026.ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley +1 more source
Some improvements of Minkowski’s integral inequality on time scales
, 2013 In the paper, we establish some improvements of Minkowski’s inequality on time scales via the delta integral, nabla integral and diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.MSC:26D15, 26E70.
Guangsheng Chen
semanticscholar +1 more source
Generalizations of the Brunn–Minkowski inequality
Linear Algebra and its Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Benchmarking Contact Detection Algorithms Used in Polyhedral Particle System
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 1, Page 53-64, January 2026.ABSTRACT A critical assessment of contact detection algorithms routinely used for simulating convex polyhedra in the Discrete Element Method is presented herein. Specifically, we focus on accuracy and computational efficiency and discuss the advantages and limitations of four different algorithms: the coupled Gilbert–Johnson–Keerthi – Expanding ...
Yuval Keissar +2 more
wiley +1 more source
Convergence of moments in the central limit theorem for stationary φ-mixing sequences [PDF]
, 1979 Let {Xj1 -∞
Yokoyama Ryozo
core
Robustness of the Gaussian concentration inequality and the Brunn–Minkowski inequality [PDF]
Calculus of Variations and Partial Differential Equations, 2017 We provide a sharp quantitative version of the Gaussian concentration inequality: for every $r>0$, the difference between the measure of the $r$-enlargement of a given set and the $r$-enlargement of a half-space controls the square of the measure of the symmetric difference between the set and a suitable half-space.
Barchiesi Marco, Julin Vesa
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