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We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics ...
In this paper, we will discuss the mixed boundary value problems for the second order elliptic equation with rapidly oscillating coefficients in perforated domains, and will present the higher-order...
Nano and micro meter sized dust particles travelling through the heliosphere at several hundreds of km/s have been repeatedly detected by interplanetary spacecraft. When such fast moving dust particle...
A quasi-tree expansion of the Krushkal polynomial     quasi-tree expansion  Krushkal polynomial  Combinatorics       font style='font-size:12px;'> 2012/5/24
We introduce a generalization of the Krushkal polynomial to nonorientable surfaces, and prove that this polynomial has a natural quasi-tree expansion. This generalized Krushkal polynomial contains the...
For cell-division processes in a window, Cowan introduced four selection rules and two division rules each of which stands for one cell-division model. One of these is the area-weighted in-cell model....
Asymptotic expansion of smooth interval maps     Asymptotic expansion  smooth interval maps  Dynamical Systems       font style='font-size:12px;'> 2012/4/16
We show that several different ways to quantify the asymptotic expansion of a non-degenerate smooth interval map coincide. A consequence is an extension to multimodal maps of the remarkable result of ...
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
An ultrastable optical reference cavity with re-entrant fused silica mirrors and a ULE spacer structure is designed through finite element analysis. The designed cavity has a low thermal noise limit o...
An exact analytic solution is obtained for a uniformly expanding, neutral, highly conducting plasma sphere in an external dipole magnetic field with an arbitrary orientation of the dipole moment in th...
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...
In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. Our w...
Rapid urbanization, Integration of urban and rural areas has brought many negative effects for ecology, living environment and sustainable development, Land for Construction-oriented system of traditi...
From Karlsson’s formula and the polar effect, we realize that the half periodic parameter of redshift is 0.206, in theory, we finally explain why the great wall is at redshift Z=0.079 in redshift spac...
Hubble's law and faster than light expansion speeds     Hubble's law  light expansion speeds  four-velocity vector       font style='font-size:12px;'> 2011/8/18
Abstract: Naively applying Hubble's law to a sufficiently distant object gives a receding velocity larger than the speed of light. By discussing a very similar situation in special relativity, we argu...
Hubble's law and faster than light expansion speeds     Hubble's law  faster than  light expansion speeds       font style='font-size:12px;'> 2011/10/14
Naively applying Hubble's law to a sufficiently distant object gives a receding velocity larger than the speed of light. By discussing a very similar situation in special relativity, we argue that Hub...

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