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Small time heat kernel behavior on Riemannian complexes
Riemannian complexes kernel behavior
2015/8/26
We study how bounds on the local geometry of a Riemannian
polyhedral complex yield uniform local Poincar′e inequalities. These
inequalities have a variety of applications, including bounds on the he...
Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics
Pseudo resonance quasi-periodic behavior stochastic threshold dynamics
2011/7/5
Here we present a simple stochastic threshold model consisting of a deterministic slowly
decaying term and a fast stochastic noise term. The process shows a pseudo-resonance,
in the sense that for s...
Behavior of Quillen (co)homology with respect to adjunctions
Quillen, homology cohomology adjunction simplicial model structure comparison
2010/12/13
This paper aims to answer the following question: Given an adjunction between two categories, how is Quillen (co)homology in one category related to that in the other?We identify the induced compariso...
In this paper we prove the solution of explicit difference scheme for a
semilinear parabolic equation converges to the solution of difference
scheme for the relevant nonlinear stationary problem as ...
LONG TIME ASYMPTOTIC BEHAVIOR OF SOLUTION OF DIFFERENCE SCHEMEFOR A SEMILINEAR PARABOLIC EQUATION
Asymptotic behavio implicit difference scheme semilinear parabolic equation
2007/12/12
In this paper we prove that the solution of implicit difference scheme
for a semilinear parabolic equation converges to the solution of
difference scheme for the corresponding nonlinear stationary...