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Exponential convergence to equilibrium for kinetic Fokker-Planck equations on Riemannian manifolds
kinetic Fokker-Planck equations Riemannian manifolds
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2010/12/13
A class of linear kinetic Fokker-Planck equations with a non-trivial dif-fusion matrix and with periodic boundary conditions in the spatial vari-able is considered. After formulating the problem in a ...
Convergence of Hill's method for nonselfadjoint operators
Hill’s method periodic-coefficient operators Floquet-Bloch decomposition
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2010/12/9
By the introduction of a generalized Evans function defined by an appropriate 2-modified Fredholm determinant, we give a simple proof of convergence in location and multiplicity of Hill’s method for n...
Optimization and Convergence of Observation Channels in Stochastic Control
Stochastic control information theory observation channels optimization
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2010/12/9
This paper studies the optimization of observation channels (stochastic kernels)in partially observed stochastic control problems. In particular, existence, continuity, and convexity
properties are i...
Convergence of semigroups of measures on a Lie group
Semigroups of measures dissipative distributions Hunt theory Lie groups
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2010/12/9
A theorem of Siebert asserts that if μn(t) are semigroups of probability measures on a Lie group G, and Pn are the corresponding generating functionals,then μn(t).
Rate of Convergence and Tractability of the Radial Function Approximation Problem
Gaussian kernel reproducing kernel Hilbert spaces shape parameter
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2011/1/21
This article studies the problem of approximating functions belonging to a Hilbert space Hd with an isotropic or anisotropic Gaussian reproducing kernel.
Global convergence of quorum-sensing networks
quorum-sensing networks synchronization phenomena
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2010/4/6
In many natural synchronization phenomena, communication between individual elements occurs not directly, but rather through the environment. One of these instances is bacterial quorum sensing, where ...
Convergence of Heston to SVI
Heston SVI large-time asymptotic
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2010/4/27
In this short note, we prove by an appropriate change of variables that the SVI implied volatility parameterization presented in Gatheral's book and the large-time asymptotic of the Heston implied vol...
Forward-convex convergence of sequences in $\mathbb{L}^0_+$
convergence of sequences $\mathbb{L}^0_+$
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2010/4/27
For a sequence in $\mathbb{L}^0_+$, we provide simple necessary and sufficient conditions to ensure that each sequence of its forward convex combinations converges to the same limit. These conditions ...
On uniform statistical convergence of random variable sequences
Random variable sequence uniform convergence
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2010/9/13
In this study, we introduce a notion of uniform statistical convergence of random variable sequences. We show that a continuous function conserves the limit of statistical convergence of real-number s...
The convergence of the law of the logarithm involving negatively associated random fields
negatively associated random fields
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2010/9/13
In this paper, the convergence of negatively associated random fields is investigated, two sufficiency conditions for the law of the logarithum are obtained by the Rosenthal and maximal Rosenthal ineq...
Strong convergence theorem for solving equilibrium problems by hybrid method of asymptotically k-strictly pseudo-contractive mappings in Hilbert spaces
asymptotically k-strictly pseudo-contractive equilibrium problems
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2010/9/14
In this paper, we introduce the iterative schemes by using hybrid methods for finding a common element of the set of an equilibrium problem and the set of fixed points of asymptotically k-strictly pse...
An iterative method with fifth-order convergence for nonlinear equations
Analysis convergence Decomposition methods
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2010/9/15
In this paper, we suggest and analyze a new four-step iterative method for solving nonlinear equations involving only first derivative of the function using a new decomposition technique which is due ...
Weak and strong convergence theorems for k-strictly pseudo-contractive in Hilbert space
k-strict pseudo-contraction nonexpansive mapping
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2010/9/17
Our results improve and extend the results announced by Genaro L.A.and H.K.Xu [Iterative methods for strict pseudo-contractions in Hilbert spaces, Nonl.Anal.67(2007) 2258-2271], T.H.Kim and H.K.Xu [St...
C. S. Ge and J. Liang, Convergence Theorems of New Ishikawa Iterative Procedures with Errors for Multi-valued Φ-Hemicontractive Mappings
Ishikawa iterative procedures with errors Multi-valued F-hemiaccretive mapping equation Real normed linear spaces Fixed point
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2009/6/16
In this paper, we introduce and study some new Ishikawa iterative procedures with
errors for multi-valued mappings in real normed linear spaces. General results on
the convergence of the new Ishikaw...
Homotopy Continuation Method of Arbitrary Order of Convergence for Solving the Hyperbolic Form of Kepler’s Equation
Homotopy method hyperbolic Kepler’s equation initial value problem orbit determination
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2009/5/12
In this paper, an efficient iterative method of arbitrary integer
order of convergence ≥ 2 has been established for solving the hyperbolic
form of Kepler’s equation. The method is of a dynamic natur...