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The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)
A formalism is proposed for developing phase-space representations of
elementary quantum systems under general invariance groups. Several
examples are discussed, including the usual Weyl calculus, the Moyal
formulation ...
Geometric goodness of fit measure to detect patterns in data point clouds
(2019)
The curse of dimensionality is a commonly encountered problem in statistics and data
analysis. Variable sensitivity analysis methods are a well studied and established set of
tools designed to overcome these sorts of ...
Pocillopora spp. growth analysis on restoration structures in an Eastern Tropical Pacific upwelling area
(2022)
Coral reefs in Culebra Bay (North Pacific of Costa Rica) are threatened by multiple anthropogenic disturbances including global warming, overfishing, eutrophication, and invasive species outbreaks. It is possible to assist ...
Minimum depth of double cross product extensions
(2020)
In this paper we explore minimum odd and minimum even depth sub- algebra pairs in the context of double cross products of finite dimensional Hopf algebras. We start by defining factorization algebras and outline how subring ...
Comparing the efficiency of monofilament and traditional nets for capturing bats
(2021)
Traditional mist nets used for capturing bats have several drawbacks, particularly that they are inefficient at sampling many insectivorous species. One possible alternative is to use monofilament nets, whose netting is ...
Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
(2020)
There is an isomorphism between the moduli spaces of σ-stable holomorphic triples
and some of the critical submanifolds of the moduli space of k-Higgs bundles of
rank three, whose elements (E, ϕk
) correspond to variations ...
Rapid shift in microbial community structure in a neutral hydrothermal hot spring from Costa Rica
(2020)
In this work, we characterize the geochemistry and microbial community of Bajo las Peñas, a neutral (pH 6.5-7.4), hot spring (T = 62.0-68.0°C) located near Turrialba Volcano, Costa Rica. The microbiota at its two sources ...
Imaginaries, invariant types and pseudo p-adically closed fields
(2019-04-29)
In this paper, we give a general criterion for elimination of imaginaries using an abstract independence relation. We also study germs of definable functions at certain well-behaved invariant types. Finally we apply these ...
Lyapunov exponents of probability distributions with non-compact support
(2020)
A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...
A multilayer network model of Covid-19: implications in public health policy in Costa Rica
(2022-05)
Successful partnerships between researchers, experts, and public health authorities have been critical to navigate the challenges of the Covid-19 pandemic worldwide. In this collaboration, mathematical models have played ...