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4 papers · 1 filter
Examining the Effects of Objective Hurricane Risks and Community Resilience on Risk Perceptions of Hurricanes at the County Level in the U.S. Gulf Coast: An Innovative Approach
Wanyun Shao, Maaz Gardezi, Siyuan Xian
Community risk perceptions can influence their abilities to cope with coastal hazards such as hurricanes and coastal flooding.Our study presents an initial effort to examine the re…
A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes
Tianran Chen, Robert Davis
The free sum is a basic geometric operation among convex polytopes. This note focuses on the relationship between the normalized volume of the free sum and that of the summands. In…
The Structure of Hopf Algebras Acting on Dihedral Extensions
Alan Koch, Timothy Kohl, Paul J. Truman +1
We discuss isomorphism questions concerning the Hopf algebras that yield Hopf-Galois structures for a fixed separable field extension . We study in detail the case where …
Unmixing the mixed volume computation
Tianran Chen
Computing mixed volume of convex polytopes is an important problem in computational algebraic geometry. This paper establishes sufficient conditions under which the mixed volume of…