Results 21 to 30 of about 84,678 (251)
Enumerative aspects of the Gross-Siebert program [PDF]
, 2014 We present enumerative aspects of the Gross-Siebert program in this introductory survey. After sketching the program's main themes and goals, we review the basic definitions and results of logarithmic and tropical geometry.
A. Gathmann +28 more
core +2 more sources
Watershed controls and tropical cyclone-induced changes in river hydraulic geometry in Puerto Rico
Journal of Hydrology: Regional Studies, 2022 Study region: 24 stream gaging sites in Puerto Rico. Study focus: At-a-station hydraulic geometry (AHG), which describes how channel width, depth, and velocity vary with discharge at a river cross section, has long been used to study fluvial processes ...
Yihan Li +2 more
doaj +1 more source
Geometric Monodromy around the Tropical Limit [PDF]
, 2016 Let $\{V_q\}_{q}$ be a complex one-parameter family of smooth hypersurfaces in a toric variety. In this paper, we give a concrete description of the monodromy transformation of $\{V_q\}_q$ around $q=\infty$ in terms of tropical geometry. The main tool is
Yamamoto, Yuto
core +1 more source
Tropical geometry over the tropical hyperfield
Rocky Mountain Journal of Mathematics, 2022 In this text, we merge ideas around the tropical hyperfield with the theory of ordered blueprints to give a new formulation of tropical scheme theory. The key insight is that a nonarchimedean absolute value can be considered as a morphism into the tropical hyperfield.
openaire +5 more sources
Scientific Reports, 2021 This study presents a new storm surge hazard potential index (SSHPI) for estimating tropical cyclone (TC) induced peak surge levels at a coast. The SSHPI incorporates parameters that are often readily available at real-time: intensity in 10-min maximum ...
Md. Rezuanul Islam +3 more
doaj +1 more source
Generating reliable estimates of tropical-cyclone-induced coastal hazards along the Bay of Bengal for current and future climates using synthetic tracks [PDF]
Natural Hazards and Earth System Sciences, 2022 Deriving reliable estimates of design water levels and wave conditions resulting from tropical cyclones is a challenging problem of high relevance for, among other things, coastal and offshore engineering projects and risk assessment studies.
T. W. B. Leijnse +4 more
doaj +1 more source
Buildings, 2022 External shading devices are an important design feature in tropical buildings, particularly for climate mitigation. However, the interaction between the depth and elevation of the shading devices and their impact on indoor daylight performance is not ...
Atthaillah +3 more
doaj +1 more source
Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
Journal of High Energy Physics, 2021 We further exploit the relation between tropical Grassmannians and Gr(4, n) cluster algebras in order to make and refine predictions for the singularities of scattering amplitudes in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory at higher ...
Niklas Henke, Georgios Papathanasiou
doaj +1 more source
Tropical Geometry and the Motivic Nearby Fiber [PDF]
, 2011 We construct motivic invariants of a subvariety of an algebraic torus from its tropicalization and initial degenerations. More specifically, we introduce an invariant of a compactification of such a variety called the "tropical motivic nearby fiber ...
Alan Stapledon +13 more
core +1 more source
Geometric Representations of Interacting Maps
International Journal of Mathematics and Mathematical Sciences, 2010 Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints.
Tsuyoshi Kato
doaj +1 more source