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三亚国际数学论坛：Superconformal Field Theories in 6 and Lower Dimensions
三亚国际数学论坛 Superconformal Field Theories in 6 Lower Dimensions
2017/11/24
Conformal field theories represent a very active research field worldwide with many international experts working on various aspects of the topic. Progress during the past several years has led to man...
CONNECTION OF KINETIC MONTE CARLO MODEL FOR SURFACES TO ONE-STEP FLOW THEORY IN 1+1 DIMENSIONS
kinetic Monte Carlo Burton–Cabrera–Frank theory low-density approximation near-equilibrium condition master equation maximum principle
2015/10/16
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions
step flow atomistic scheme epitaxial growth 1+1 dimensions
2015/10/16
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d ≥ 3. We show that A(t) is approximately spherical, up to an O(√log t) erro...
A FAST DIRECTIONAL ALGORITHM FOR HIGH FREQUENCY ACOUSTIC SCATTERING IN TWO DIMENSIONS
N-body problems Helmholtz equation oscillatory kernels fast multipole methods multidirectional computation multiscale methods
2015/7/14
This paper is concerned with fast solution of high frequency acoustic scattering problems in two dimensions. We introduce a directional multiscale algorithm for the N-body problem of the two dimension...
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
The stochastic acceleration problem in two dimensions
stochastic acceleration problem two dimensions
2015/7/14
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This complements the limit the...
Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
Global uniqueness reconstruction multi-channel Gel'fand-Calderón inverse problem
2011/2/24
We study the multi-channel Gel’fand-Calderón inverse problem in two dimensions, i.e. the inverse boundary value problem for the equation − + v(x) = 0, x 2 D, where v is a smooth matrix-valued...
On a pseudo generalized system of Carlemann in three dimensions
Decomposition of operators Carleman system kinetc gas
2010/9/25
In this work, we propose to study a generalized problem called pseudo Carlemann system in three dimensions. We will use the decomposition of operators method , who cut the problem into two problems wh...
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
Dirac-Hulthen Problem with Position-dependent Mass in D-dimensions
Dirac-Hulthen Problem Position-dependent
2010/11/17
An approximate solution of the position-dependent mass Dirac equation with the Hulthen potential is obtained in $D$-dimensions within frame work of an exponential approximation of the centrifugal ter...
Current fluctuations for independent random walks in multiple dimensions
Independent random walks hydrodynamic limit current Independent random walks
2010/12/6
Consider a system of particles evolving as independent and iden-tically distributed (i.i.d.) random walks. Initial fluctuations in the particle density get translated over time with velocity ~v, the c...
The di®erence of the variance functions between two estimated responses for a fourth order rotatable design in two dimensions
variance functions estimated responses rotatable design
2009/1/4
In this paper the di®erence of the variance functions between
two estimated responses for a fourth order design at any two points in the
factor space is developed. In particular, the variance fu...
Identification of a spatially dependent conductivity in two dimensions
Identification of a spatially dependent conductivity dimensions
2010/9/14
From some measured data on the boundary of a domain in two dimensions, we get the unknown conductivity coefficient in the whole domain by applying Backus-Gilbert method on some integral identity. Prac...
The dimensions of the level sets of the generalized iterated Brownian motion
Hausdorff dimension packing dimension level set local time
2010/9/13
The dimensions of the level sets of the generalized iterated Brownian motion.