Results 61 to 70 of about 26,299 (168)
This paper proposes a hierarchical control strategy for inverter‐dominated multi‐microgrid systems that partitions control into a decentralised microgrid layer and a multi‐microgrid layer where consensus coefficients are adaptively tuned to enhance system stability.
Masood Sorouri +3 more
wiley +1 more source
Upper Comonotonicity and Risk Aggregation Under Dependence Uncertainty
ABSTRACT In this paper, we study dependence uncertainty and the resulting effects on tail risk measures, which play a fundamental role in modern risk management. We introduce the notion of a regular dependence measure, defined on multimarginal couplings, as a generalization of well‐known correlation statistics such as the Pearson correlation. The first
Corrado De Vecchi +2 more
wiley +1 more source
Plank theorems and their applications: A survey
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
The space of homogeneous probability measures on Γ\X¯maxS is compact: With an appendix by Jialun Li. [PDF]
Daw C, Gorodnik A, Ullmo E.
europepmc +1 more source
Canonical forms of oriented matroids
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source
Algebra, Geometry and Topology of ERK Kinetics. [PDF]
Marsh L +3 more
europepmc +1 more source
We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations.
Webster, Ben
core
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Polar Varieties and Efficient Real Equation Solving: The Hypersurface Case
The objective of this paper is to show how the recently proposed method by Giusti, Heintz, Morais, Morgenstern, Pardo \cite{gihemorpar} can be applied to a case of real polynomial equation solving.
Bank, B. +4 more
core +3 more sources
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source

