Results 71 to 80 of about 623,284 (221)
A generalization of the discrete version of Minkowski's fundamental theorem [PDF]
One of the most fruitful results from Minkowski's geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an o-symmetric convex body whose only interior lattice point is the ...
Bernardo González Merino, M. Henze
semanticscholar +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
On Hölder and Minkowski Type Inequalities
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev +2 more
openaire +6 more sources
Convergence of moments in the central limit theorem for stationary φ-mixing sequences [PDF]
Let {Xj1 -∞
Yokoyama Ryozo
core
Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies
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
core +1 more source
Dimer models and conformal structures
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
Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley +1 more source
Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets
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
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
A novel Triple‐Layer Ensemble (TLE) model accurately predicts suicide risk with 94.81% accuracy, enhanced by explainable AI techniques. Key risk factors are identified, and a web‐based tool enables real‐time, interpretable assessments to support timely, personalized interventions.
Md. Samiul Alom +6 more
wiley +1 more source

