Results 241 to 250 of about 181,310 (279)
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Journal of the London Mathematical Society, 1993
We prove a sharper pointwise upper bound for the heat kernel of the continuous time random walk on a general graph under a weaker assumption than that by \textit{I. Chavel} and \textit{E. A. Feldman} in `Modified isoperimetric constants and large time heat diffusion in Riemannian manifolds', preprint 1990. Our main result is stated in Theorem 2.6.
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We prove a sharper pointwise upper bound for the heat kernel of the continuous time random walk on a general graph under a weaker assumption than that by \textit{I. Chavel} and \textit{E. A. Feldman} in `Modified isoperimetric constants and large time heat diffusion in Riemannian manifolds', preprint 1990. Our main result is stated in Theorem 2.6.
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Heat Kernel on Analytic Subvariety
Chinese Annals of Mathematics, Series B, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2015
This is the main chapter of the book describing the crucial ingredients of the heat kernel method. It is an enhanced version of the singular perturbation method described in the previous chapter due to a heavy use of geometric techniques. The main goal is to compute the short-time asymptotic expansion of the heat kernel and the corresponding expansion ...
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This is the main chapter of the book describing the crucial ingredients of the heat kernel method. It is an enhanced version of the singular perturbation method described in the previous chapter due to a heavy use of geometric techniques. The main goal is to compute the short-time asymptotic expansion of the heat kernel and the corresponding expansion ...
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The Quarterly Journal of Mathematics, 1993
The author considers the differential operator \(H\) acting on \(L^2(- \alpha, +\alpha)\) given by \[ Hf= -{d\over dx} \Biggl(a(x) {df\over dx}\Biggr) \] and subject to Dirichlet boundary conditions at \(-\alpha\) and \(+\alpha\), where \(a: (- \alpha, +\alpha)\to (0, +\infty)\) is measurable with \(\gamma^{- 1}\leq a(x)\leq \gamma\) for all \(x\in (- \
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The author considers the differential operator \(H\) acting on \(L^2(- \alpha, +\alpha)\) given by \[ Hf= -{d\over dx} \Biggl(a(x) {df\over dx}\Biggr) \] and subject to Dirichlet boundary conditions at \(-\alpha\) and \(+\alpha\), where \(a: (- \alpha, +\alpha)\to (0, +\infty)\) is measurable with \(\gamma^{- 1}\leq a(x)\leq \gamma\) for all \(x\in (- \
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Canadian Mathematical Bulletin, 1999
AbstractWe obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of timetand two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
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AbstractWe obtain an explicit formula for heat kernels of Lorentz cones, a family of classical symmetric cones. By this formula, the heat kernel of a Lorentz cone is expressed by a function of timetand two eigenvalues of an element in the cone. We obtain also upper and lower bounds for the heat kernels of Lorentz cones.
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1996
The goal of the heat kernel method is to express (2.40) as an integral over the fixed point set M γ in M of the transformation γ. Here M γ = M if γ is the identity. The method is based on the following observations about arbitrary elliptic differential operators D, acting on sections of a smooth vector bundle F over a compact manifold M, which admits a
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The goal of the heat kernel method is to express (2.40) as an integral over the fixed point set M γ in M of the transformation γ. Here M γ = M if γ is the identity. The method is based on the following observations about arbitrary elliptic differential operators D, acting on sections of a smooth vector bundle F over a compact manifold M, which admits a
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Neumann Heat Kernel Monotonicity
2014This chapter contains the probabilistic proof of the claim that the Neumann heat kernel in a ball, evaluated on the diagonal, is a monotone function of the distance from the center.
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