Heat Kernel
About renormalization of the Yang – Mills theory and the approach to calculation of the heat kernel
... Abstract. The quantum theory of Yang – Mills in four-dimensional space – time plays an important role in modern theoretical physics. Currently, this model contains many open problems, therefore, it is of great interest ...
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Gaussian lower bounds on the Dirichlet heat kernel and non existence of local solutions for semilinear heat equations of Osgood type
... Proof. For notational reasons it is simpler to treat the problem on (0, 2a) rather than ( − a, a), but since the equations and the resulting lower bound are translation invariant this does not effect the result. We write ...
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Estimate of an Hypoelliptic Heat Kernel outside the Cut Locus in Semi Group Theory
... (2) Let us suppose that the strong Hoermander hypothesis is checked: in such a case Hoermander ([1]) proved the existence of a smooth heat kernel. Malliavin [2] proved again this theorem by using a ...
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Brownian motion and the heat kernel on Riemannian manifolds
... the Heat Kernel over a submanifold, (4) making use of Milson's formula, coefficients in the expansion of the Heat Kernel of the Hyperbolic ...
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Note on Gradient Estimate of Heat Kernel for Schrödinger Operators
... is the spectral measure of H . The kernel of (H ) is denoted ( H )( x , y ) in the following sense. Let A be an operator on a measure space ( M , d ) , d being a Borel measure on M . If there exists a ...
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A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces
... Dirichlet heat kernel due to van den Berg [21, 22] to give lower bounds on solutions of the heat equation with characteristic functions as initial data, and hence lower bounds on solutions of the ...
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Spherical Casimir Effect for a Massive Scalar Field on the Three Dimensional Ball
... the heat kernel expansion [21]-[23] to calculate the Casimir ...the heat kernel expansion, obtain simple analytic forms for the zeta function and Casimir energy when the scalar field is ...
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ABSTRACT BOTT-CHERN CHARACTERISTIC FORMS AND INDEX THEOREMS FOR COHERENT SHEAVES ON COMPLEX MANIFOLDS
... the heat kernel method for Clifford superconnection presented in [BGV91], we obtain the following index formula for the Euler characteristic of cohesive modules that extends classical the ...
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Partial regularity of mathematical models of fluid mechanics
... The aim of this chapter is to prove partial regularity results for (4.1) that are analogues of those proved by Caarelli, Kohn, & Nirenberg (1982) for the NavierStokes equations. Perhaps surprisingly their inductive ...
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EFFECTIVE FIELD THEORY ON MANIFOLDS WITH BOUNDARY Benjamin I. Albert A DISSERTATION in Mathematics
... In 4.1.6, the renormalization is adapted to H n , the upper half space with the Euclidean metric. The procedure does not carry over without modification since the quadratic form in the integral computing the Feynman ...
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Online Full Text
... a heat kernel characterization of the Lipschitz space obtained by Meda and Pini in [7], the semi-group property of the heat kernel and an estimate on the heat kernel in ...
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On some properties of a class of fractional stochastic heat equations
... Here is a plan of the article. In Sect. 2, we collect some information about the heat kernel and the renewal-type inequalities. In Sect. 3, we prove the main results concerning (1.1). Section 4 contains ...
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An Analysis of Selected Art Songs for High Voice by Adolphus Hailstork, A Performer's Guide
... Licensed Content Title Computing Diffusion State Distance Using Green’s Function and Heat Kernel on Graphs Licensed Content Author Edward Boehnlein. Licensed Content Date Jan 1, 2014[r] ...
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Super Sparse Convolutional Neural Networks
... ent stages of the Shift-Net and SSC filters are shown in Figure 6. The smaller the covariance, the sparser the filters are. From the Figure 6d, 6e and 6f, the SSC filters obtain an evident block diagonal sparsity, which ...
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Reduces Solution of Fredholm Integral Equation to a System of Linear Algebraic Equation
... the kernel of the integration neutralization, λ is a scalar parameter, the given function K(x , y) which depends up on the current variables x as well as the variables y is known as the kernel or nucleus of ...
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Correlation and path coefficient analysis for yield and quality traits under organic fertilizer management in rice (Oryza sativa L.)
... weight, kernel length, kernel breadth, kernel length/breadth ratio, kernel length after cooking, kernel elongation ratio, harvest index and grain yield per plant except days to 50% ...
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THE HARMONIC ANALYSIS ASSOCIATED TO THE CHEREDNIK-TRIM\`{E}CHE'S TRANSMUTATION OPERATORS ON $\mathbb{R}^d$
... Remark 6.1. To give the new results of this paper, we consider a second multiplicity function l : R → [0, ∞[. We consider also the cherednik opera- tors T j l , j = 1, 2, ..., d, the Opdam-cherednik’s kernel G l λ ...
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Forecast of fund volatility using least squares wavelet support vector regression machines
... The results on out-of-sample forecasting for SZSE fund volatility from the four models are given in Table 3. It shows that the four statistical metrics RMSE, MAE, LL, and LINEX of LS-WSVR1, LS-WSVR2, and LS-WSVR3 are all ...
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Identification of nonlinear systems using generalized kernel models
... generalized kernel regression model. Unlike the standard kernel model, which employs a fixed common variance for all the kernel regressors, each kernel regressor in the generalized ...
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Learning the Kernel with Hyperkernels (Kernel Machines Section)
... the kernel adaptive to allow independent scales for each ...the kernel to handle unnormalised data. However, the resulting kernel would be difficult to hand-tune as there may be numerous free ...this ...
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