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Random Attractors for Stochastic Wave Equations with Critical Exponents on Rn
Stochastic Wave Equations Random Attractors
2015/4/3
Outline
• Stochastic wave equations on Rn.
• Random attractors theory.
• Random absorbing sets for wave equations.
• Pullback asymptotic compactness.
• Existence of ...
Critical exponents of the pair contact process with diffusion
PCPD universality class critical systems
2012/2/27
We study the pair contact process with diffusion (PCPD) using Monte Carlo simulations, and concentrate on the decay of the particle density $\rho$ with time, near its critical point, which is assumed ...
Bubbling on Boundary Submanifolds for the Lin-Ni-Takagi Problem at Higher Critical Exponents
Critical Sobolev Exponent Blowing-up Solutions Nondegenerate minimal submanifolds
2011/9/22
Abstract: We consider the equation $d^2\Delta u - u+ u^{\frac{n-k+2}{n-k-2}} =0\,\hbox{in}\Omega $, under zero Neumann boundary conditions, where $\Omega$ is open, smooth and bounded and $d$ is a smal...
Kolmogorov complexity, Lovasz local lemma and critical exponents
Kolmogorov complexity Lovasz local lemma critical exponents
2010/12/13
D. Krieger and J. Shallit have proved that every real number greater than 1 is a critical exponent of some sequence [1].We show how this result can be derived from some general statements about sequen...
We examine the percolation model on $mathbb{Z}^d$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $beta in [0,2(d-1))$, let $f(beta)$ be the asymptotic exponential...
Critical Exponents in Percolation via Lattice Animals
Critical Exponent Percolation Lattice Animals
2009/4/7
We examine the percolation model on $mathbb{Z}^d$ by an approach involving lattice animals and their surface-area-to-volume ratio. For $beta in [0,2(d-1))$, let $f(beta)$ be the asymptotic exponential...
A Direct Calculation of Critical Exponents of Two-Dimensional
Anisotropic Ising Model
Ising model exact solution critical exponent
2007/8/15
2006Vol.45No.5pp.932-934DOI:
A Direct Calculation of Critical Exponents of Two-Dimensional
Anisotropic Ising Model
XIONG Gang1 and WANG Xiang-Rong2
1 Physics Department,...
Experimental Determination of b and g Critical Exponents in the Sol-gel Phase Transition by Using Steady-state Fluorescence Technique
methyl methacrylate ethylene glycol dimethacrylate sol-gel phase transitions
2010/4/16
The gelation of methyl methacrylate and ethylene glycol dimethacrylate was studied using the steady-state fluorescence technique. Samples with various crosslinker densities were prepared and sol-gel p...