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We will report our recent work on weak multisymplectic spectral integrators for a wide range of nonsmooth Hamiltonian partial differential equations, which appear in quite a few physical applications ...
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
In this lecture, I will talk about how to control the deviation of the occupation-time profile conditioned on disconnection so that this conditioning makes the model exhibit a phenomenon generally kno...
New research by National Science Foundation-funded scientists at the Woods Hole Oceanographic Institution and colleagues has found a marked change in the Indian Ocean's surface temperatures. The chang...
Scientists have gotten better at predicting where earthquakes will occur, but they’re still in the dark about when they will strike and how devastating they will be.In the search for clues that will h...
Researchers at the University of California San Diego have demonstrated the world’s first laser based on an unconventional wave physics phenomenon called bound states in the continuum. The technology ...
Why do some animals have extravagant, showy ornaments — think elk and deer antlers, peacock feathers and horns on dung beetles — that can be a liability to survival? Charles Darwin couldn’t figure it ...
A number of biological systems can be modeled by Markov chains. Recently, there has been an increasing concern about when biological systems modeled by Markov chains will perform a dynamic phenomenon ...
A number of biological systems can be modeled by Markov chains. Recently, there has been an increasing concern about when biological systems modeled by Markov chains will perform a dynamic phenomenon ...
A new study has found a link between abrupt ocean warming at the end of the last ice age and the sudden onset of low-oxygen, or hypoxic conditions that led to vast marine dead zones.Results of the stu...
We consider the cutoff phenomenon in the context of families of ergodic Markov transition functions. This includes classical examples such as families of ergodic finite Markov chains and Brownian mo...
Researchers often use the term “sensitivity ” when theorizing that certain persons may be more readily affected by various influences than others. Through a review of the literature, it is argued that...
The cutoff phenomenon in finite Markov chains。
This dissertation is in two parts. The first part investigates the role of lipid signalling pathways in an intracellular phenomenon i.e. the formation of the nuclear envelope. The second part is a stu...

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