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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morse boundaries of Groups
群 Morse边界 群论
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2023/5/17
The Morse boundary of a proper geodesic metric space is a generalization of the Gromov boundary of a hyperbolic space. It is a quasi-isometry invariant to study "hyperbolic directions" in the space. T...
Designed Protein Containers Push Bioengineering Boundaries
Designed Protein Containers Bioengineering Boundaries
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2016/8/1
Nature provides many examples of self- and co-assembling protein-based molecular machines, including icosahedral protein cages that serve as scaffolds, enzymes, and compartments for essential biochemi...
NON EQUILIBRIUM DENSITY PROFILES IN LORENTZ TUBES WITH THERMOSTATED BOUNDARIES
EQUILIBRIUM DENSITY PROFILES THERMOSTATED BOUNDARIES
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2015/9/29
We consider a long Lorentz tube with absorbing boundaries.
Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
Exploring the Boundaries of Distance Learning in Ocean Environments
Ocean Environments Distance Learning
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2015/8/5
In April 1998, the JASON Project joined a team of researchers bound for Guaymas Basin in the Sea of Cortez, Mexico, aboard the R/V Atlantis. The mission was to conduct scientific research on hydrother...
Building a Global Data Network for Studies of Earth Processes at the World's Plate Boundaries
Global Data Network Earth Processes World's Plate Boundaries
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2015/7/22
The international geoscience community is actively engaged in scientifically aligned goals through the InterRidge and InterMARGINS programs, both broad multi-disciplinary initiatives focused on unders...
Submarine Paleoseismology Along Populated Transform Boundaries: The Enriquillo-Plantain-Garden Fault, Canal du Sud, Haiti, and the North Anatolian Fault, Marmara Sea, Turkey
Populated Transform Boundaries Submarine Paleoseismology
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2015/7/17
Continental transform boundaries cross heavily populated regions and are associated with destructive earthquakes worldwide. The devastating 1999 Turkey earthquakes and the offshore 2010 Haiti earthqua...
The Moving Boundaries of Sea Level Change:Understanding the Origins of Geographic Variability
Sea Level Change Geographic Variability
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2015/7/9
As ice sheets gain or lose mass, and as water moves between the continents and the ocean, the solid Earth deforms and the gravitational field of the planet is perturbed. Both of these effects lead to ...
Superfluidity of Grain Boundaries in Solid 4He
Quantum monte carlo simulation crystal cryogenic superfluid super fluid particles
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2014/12/20
By large-scale quantum Monte Carlo simulations we show that grain boundaries in 4He crystals are generically superfluid at low temperature, with a transition temperature of the order of ～0.5 ...
Effects of boundaries and density inhomogeneity on states of vortex matter in Bose-Einstein condensates at finite temperature
Quantum vortices 3 d eddy current condensate vortex entanglement
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2014/12/19
Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on the assumption of an extended and homogen...
Investigations of Surface-Tension Effects Due to Small-Scale Complex Boundaries
capillarity surface tension wetting wicking
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2014/11/20
The earliest man-made irrigation systems in recorded history date back to the ancient Egypt and Mesopotamia era. After thousands of years of experience, exploration, and experimenting, mankind have le...
Purity of boundaries of open complex varieties
Mixed Hodge theory of singular varieties intersection cohomology resolution of singularities
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2012/6/25
We study the boundary of an open smooth complex algebraic variety $U$. We ask when the cohomology of the geometric boundary $Z=X\setminus U$ in a smooth compactification $X$ is pure with respect to th...
Algebraic boundaries of Hilbert's SOS cones
Positive polynomials K3 surfaces Hilbert's SOS cones
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2011/8/31
Abstract: We study the geometry underlying the difference between non-negative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and quaternary q...
Nonlinear Boundaries in Quantum Mechanics
Nonlinear Boundaries Quantum Mechanics quantum eigenvalue equations gauge invariant
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2011/7/7
Based on empirical evidence, quantum eigenvalue equations appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a one dimens...
Nonlinear Boundaries in Quantum Mechanics
Nonlinear Boundaries Quantum Mechanics Quantum Physics
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2011/7/28
Abstract: Based on empirical evidence, quantum eigenvalue equations appear to be strictly linear and gauge invariant. This work uses concise mathematics to show that quantum eigenvalue equations on a ...
Snell's law for particles moving on piecewise homogeneous two dimensional surface with linear boundaries
Snell's law two dimensional surface
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2011/8/29
We study the properties of least time trajectories for particles moving on a two dimensional surface which consists of piecewise homogeneous regions. The particles are assumed to move with di erent co...