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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Projective measure without Projective Baire
投射贝尔 投射测量 勒贝格可测
2023/5/6
In this talk, I will give some of the context and a sketch of the proof of the following result which I proved a while ago: It is consistent (relative to a Mahlo catrdinal) that there is a projective ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse problem for the harmonic measure
谐波测量 反问题 双曲群
2023/4/17
Sample paths of a random walk on a hyperbolic group are known to converge to the Gromov boundary. The distribution of the exit point is called the harmonic measure. I will discuss the following invers...
Ocean scientists measure sediment plume stirred up by deep-sea-mining vehicle（图）
深海采矿车 沉积物羽流 海洋科学
2023/6/19
What will be the impact to the ocean if humans are to mine the deep sea? It’s a question that’s gaining urgency as interest in marine minerals has grown.
Physicists harness quantum “time reversal” to measure vibrating atoms（图）
量子 时间反转 振动原子 原子钟 量子传感器
2023/6/9
The quantum vibrations in atoms hold a miniature world of information. If scientists can accurately measure these atomic oscillations, and how they evolve over time, they can hone the precision of ato...
When a chemical spills, it's important to know how quickly the spill will spread. When irrigating a crop, a farmer needs to know how fast water moves through soil for absorption by roots. In both case...
New Technique Offers Clues to Measure Ocean Deoxygenation
New Technique Offers Clues Measure Ocean Deoxygenation
2017/9/4
The living, breathing ocean may be slowly starting to suffocate. More than two percent of the ocean’s oxygen content has been depleted during the last half century, according to reports, and marine “d...
Warmer temperatures cause decline in key runoff measure
Warmer temperatures decline runoff measure
2017/7/20
Since the mid-1980s, the percentage of precipitation that becomes streamflow in the Upper Rio Grande watershed has fallen more steeply than at any point in at least 445 years, according to a new study...
Nano-SPEARs gently measure electrical signals in small animals
Nano-SPEARs gently measure electrical signals small animals
2017/4/27
Microscopic probes developed at Rice University have simplified the process of measuring electrical activity in individual cells of small living animals. The technique allows a single animal like a wo...
Light Used to Measure the ‘Big Stretch’ in Spider Silk Proteins
Light Big Stretch Spider Silk Proteins
2016/2/23
While working to improve a tool that measures the pushes and pulls sensed by proteins in living cells, biophysicists at Johns Hopkins say they’ve discovered one reason spiders’ silk is so elasti...
High Dimensional Influence Measure
Cook’s distance High dimensional diagnosis Influential obser- vation Lasso
2016/1/25
Influence diagnosis is important since presence of influential ob-servations could lead to distorted analysis and misleading interpreta-tions. For high dimensional data, it is particularly so, as the ...
Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates
Law of large numbers branching Hunt processes spine approach h-transform spectral gap
2016/1/20
We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
2015/12/10
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
This paper addresses the natural question: “How should frames be compared?” We answer this question by quantifying the overcompleteness of all frames with the same index set. We introduce the concept ...
NEW EXAMPLES OF S-UNIMODAL MAPS WITH A SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
S-UNIMODAL MAPS SIGMA-FINITE ABSOLUTELY CONTINUOUS INVARIANT MEASURE
2015/9/25
We combine the technique of inducing with a method of Johnson boxes and construct new examples of S-unimodal maps ϕ which do not have a finite absolutely continuous invariant measure, but do have...
Performance of electrical spectroscopy using a RESPER probe to measure salinity and water content of concrete and terrestrial soil
Explorative Geophysics Concrete and Terrestrial Soil Non-destructive Testing Methods Electrical Resistivity and Salinity Permittivity and Volumetric Water Content
2015/8/27
This paper discusses the performance of electrical spectroscopy using a RESPER probe to measure the salinity s and volumetric content θW of the water in concrete or terrestrial soil. The RESPER probe ...