Increasingly available and a virtually uninterrupted supply of satellite-estimatedrainfall data is gradually becoming a cost-effective source of input for flood predictionunder a variety of circumstances. However, most real-time and quasi-global satelliterainfall products are currently available at spatial scales ranging from 0.25o to 0.50o andhence, are considered somewhat coarse for dynamic h...

1 Department of Microbiology, Immunology, and Tropical Medicine, The George Washington University and Sabin Vaccine Institute, Washington, D.C., United States of America, 2 Liverpool School of Tropical Medicine, Liverpool, United Kingdom, 3 Schistosomiasis Control Initiative, Imperial College London, United Kingdom, 4 Department of Neglected Tropical Diseases, World Health Organization, Geneva,...

We introduce the notion of families of n-marked smooth rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of n-marked abstract rational tropical curves Mn.

The overall project goal is to assess the skill of the probabilistic nature of mediumand extended-range forecasts of tropical cyclone activity and track over the tropical WPAC. Skill is examined with respect to processes associated with forcing by various tropical circulation factors, which are hypothesized to be the largest contributor to low-frequency variation in tropical cyclone activity an...

The tropical convex hull of a finite set of points in tropical projective space has a natural structure of a cellular free resolution. Therefore, methods from computational commutative algebra can be used to compute tropical convex hulls. This approach is computationally competitive with combinatorial methods. Tropical cyclic polytopes are also presented.

The objective of this paper is to introduce the fundamental algebro-geometric constructions over the extended tropical semi-ring. The study of tropical varieties, co-varieties and ideals over this extension eventually yields the theorem of the weak tropical Nullstellensatz and gives an algebraic interpretation of the tropical Nullstellensatz.

Teun Bousema,1 Benno Kreuels,2 and Roly Gosling3,4 1Department of Immunity and Infection, London School of Hygiene & Tropical Medicine, United Kingdom; 2Section for Tropical Medicine, 1st Medical Department, University Medical Centre Hamburg-Eppendorf, Hamburg, Germany; 3Department of Disease Control, Faculty of Infectious and Tropical Diseases, London School of Hygiene & Tropical Medicine, Uni...

We investigate the complexity of counting the number of integer points in tropical polytopes, and the complexity of calculating their volume. We study the tropical analogue of the outer parallel body and establish bounds for its volume. We deduce that there is no approximation algorithm of factor α = 2 for the volume of a tropical polytope given by n vertices in a space of dimension m, unless P...