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Effectively dealing with invasive species is a pervasive problem in environmental management. The damages that stem from invasive species are well known. However, controlling them cost-effectively is an ongoing challenge, and mathematical modeling and optimization are becoming increasingly popular… |
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In recent years, a number of functional inequalities have been derived for Poisson random measures, with a wide range of applications. In this paper, we prove that such inequalities can be extended to the setting of marked temporal point processes, under mild assumptions on their Papangelou… |
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We give an elementary and direct combinatorial definition of opetopes in terms
of trees, well-suited for graphical manipulation and explicit computation. To relate
our definition to the classical definition, we recast the Baez-Dolan slice construction
for operads in terms of polynomial monads: our… |
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Motility behavior of an engineered chemosensory particle (ECP) in fluidic environments is driven by its responses to chemical stimuli. One of the challenges to understanding such behaviors lies in tracking changes in chemical signal gradients of chemoattractants and ECP-fluid dynamics as the fluid… |
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The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, E(k) approximately k(-alpha), 3< or =alpha<5, is discussed. We show that for these signals, with random phases,… |
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In this paper a new multiscale modeling technique is proposed. It relies on a recently introduced measure-theoretic approach, which allows one to manage the microscopic and the macroscopic scale under a unique framework. In the resulting coupled model the two scales coexist and share information.… |
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A method for the numerical inversion of the Laplace
transform of a continuous positive function $f(t)$ is proposed.
Random matrices distributed according to a Gibbs law whose energy
$V(x)$ is a function of $f(t)$ are considered as well as random
polynomials orthogonal with respect to $w(x)=e^{-V(x… |
