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We give the solution of certain parabolic evolution problems (time-depending perturbations of the heat equation for the harmonic oscillator ) as explicit integrals on a space of continuous functions, ...
We study the asymptotic behavior of the emptiness formation probability for large spin strings in a translation invariant quasifree nonequilibrium steady state of the isotropic XY chain. Besides the...
In quantum field theory it is generally known that the energy density may be negative at a given point in spacetime. A number of papers have shown that there is a restriction on this energy density wh...
A remark on Hadamard's inequality      Hadamard’s inequality  Convexity       font style='font-size:12px;'> 2010/9/14
In this paper we establish some inequalities by using a fairly elementary analysis. As corollary we obtain the well known Hadamard’s inequality.
A remark on total domination critical graphs      Total domination  total domination critical graph       font style='font-size:12px;'> 2010/9/14
A graph G with no isolated vertex is total domination vertex critical if for any vertex v of G that is not adjacent to a vertex of degree one, the total domination number of G−v is less than the...
In this paper, we give an extension of the classical Perron-Frobenius theorem to a class of positive quasi-polynomial operators. Then the obtained results are applied to show that delay-independent ...
Let $\mu$ be a Radon measure on $\rd$ which may be non-doubling. The only condition satisfied by $\mu$ is that $\mu(B(x,r))\le Cr^n$ for all $x\in\rd$, $r>0$ and some fixed $0er, ...
A REMARK ABOUT TARTAR'S LEMMA     Tartar's lemma  generalized Poincaré-Fri         font style='font-size:12px;'> 2007/12/10
摘要0, V={v|v∈H~1(Ω),v|Γ_1=0}, and V_0={ω|Δω=h in Ω,ω|Γ=0,\forall h∈V}. Let V_0′=the dual space of V_0,a(u,v)=∫_Ω▽u·▽Δvdx, and F(v)=∫_Ω fvdx+∫_(Γ_2)g1Δvds-∫_Γg2\partial v/{\partial \nu}ds, f∈V′_0,g1∈H~(...
2005Vol.43No.1pp.89-91DOI: Remark on Relations Between Different Non-integrable Phases GU Zhi-Yu1 and QIAN Shang-Wu2 1 Physics Department, Capital Normal University, Be...
REMARK ON BLOCH FUNCTION AND NORMAL FUNCTION      Bloch function  normal function  complex          font style='font-size:12px;'> 2007/8/7
In this paper, we give characterizations for Bloch and normal functions. These caracterizations generalize the results of [1].
In this paper, we prove the existence of multiple periodic solutions for a class of singular Hamiltonian systems with sublinear terms via variational methods.
In order to find explicit numerical approximation of K¨ahler-Einstein metric of projective manifolds, Donaldson introduced in [3] various operators with good properties to approximate classical operat...
An abstract version of Lyapunov exponents is defined for positive homogeneous maps on Homogeneous Lattices and a sufficient condition is given for the asymptotic stability of the map.
A remark on the Chisini conjecture     remark  Chisini conjecture       font style='font-size:12px;'> 2010/10/29
The Chisini conjecture asserts that a generic ramified covering over the complex projective plane of degree at least 5 is uniquely determined by its branch curve. We prove this for degree at least 12 ...
The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent as remarked by Gallavotti, Rondoni and Cohen. But outside of equilibrium the fluctuations are uncontro...

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