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Sediment storage by vegetation in steep bedrock landscapes: Theory, experiments, and implications for postfire sediment yield
Sediment storage by vegetation steep bedrock landscapes Theory experiments implications postfire sediment yield
2014/4/8
Mechanistic models for sediment transport on hillslopes are needed for applications ranging from landscape evolution to debris-flow hazards. Progress has been made for soil-mantled landscapes; however...
A Theory of Expropriation and Deviations from Perfect Capital Mobility
Perfect Capital Mobility A Theory of Expropriation Deviations
2014/3/24
A Theory of Expropriation and Deviations from Perfect Capital Mobility。
Theory of polarizable liquid crystals: Optical birefringence
polarizable liquid crystals Optical birefringence
2014/9/24
The theory of polarizable anisotropic fluids is developed on the basis of a model fluid consisting of anisotropic Drude oscillators with embedded permanent dipoles. A matrix theory is developed. The d...
The Theory and Application of Upwind Finite Difference Fractional Steps Procedure for Seawater Intrusion
Seawater Intrusion Three-Dimensional Region
2013/3/11
Numerical simulation and theoretical analysis of seawater intrusion is the mathematical basis for modern environmental science. Its mathematical model is the nonlinear coupled system of partial differ...
ON UNIFORM CONVERGENCE THEORY OF LOCAL MULTIGRID METHODS IN H1(Ω) AND H(curl,Ω)
Maxwell’s equations Lagrangian finite elements edge elements local multigridmethod successive subspace correction
2012/8/10
We consider the convergence theory of local multigrid methods for H1()-elliptic
and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest
order conforming fin...
HODGE THEORY AND DEFORMATIONS OF KAHLER MANIFOLDS
HODGE THEORY DEFORMATIONS KAHLER MANIFOLDS
2018/4/19
We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of K¨ahler manifolds. As applications, we present a construction of globally convergent power ser...
Does the theory of tracial von Neumann algebras have a model companion?
the theory of tracial von Neumann algebras model companion Logic
2012/7/11
In this note, we show that, assuming a positive solution to the Connes Embedding Problem (CEP), the theory of tracial von Neumann algebras does not have a model companion. This will follow from the fa...
The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
Power Tensor Theory and Continuous Wavelet Transform
Wavelets Tensor Electrical Power Power Electronic Power Quality
2013/1/30
A model for the definition of electrical Power is presented, which retrieves the concepts of homomorphism from the geometrical tensor approximation at the wavelet approach. Their definition here is ne...
The product structure of the equivariant K-theory of the based loop group of SU(2)
equivariant K-theory Lie group loop group based loop spaces
2012/6/30
Let G=SU(2) and let \Omega G denote the space of continuous based loops in G, equipped with the pointwise conjugation action of G. It is a classical fact in topology that the ordinary cohomology H^*(\...
Hodge-de Rham Theory on Fractal Graphs and Fractals
Analysis on fractals Sierpinski gasket Hodge-deRham theory k-forms harmonic 1-forms fractal graphs
2012/6/25
We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the m...
Valuation theory of exponential Hardy fields
Valuation theory of exponential Hardy fields Logic
2012/6/19
We describe the residue fields of arbitrary convex valuations on certain o-minimal expansions of the ordered field of real numbers. References: [1] Franz-Viktor and Salma Kuhlmann: Residue fields of a...
From simplicial Chern-Simons theory to the shadow invariant II
simplicial Chern-Simons theory the shadow invariant II Mathematical Physics
2012/6/18
This is the second of a series of papers in which we develop a "discretization approach" for the rigorous realization of the non-Abelian Chern-Simons path integral for manifolds M of the form M=Sigma ...
On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
Algebraic Kasparov K-theory. II
Bivariant algebraic K-theory homotopy theory of algebras triangulated categories
2012/6/12
A kind of motivic stable homotopy theory of algebras is developed. Explicit fibrant replacements for the S^1-spectrum and (S^1,\G)-bispectrum of an algebra are constructed. As an application, unstable...