搜索结果: 1-15 共查到“应用数学 Gaussian”相关记录15条 . 查询时间(0.129 秒)
Internal DLA and the Gaussian free field
Internal DLA Gaussian free field
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2015/8/14
In previous works, we showed that the internal DLA cluster on Zd with t particles is almost surely spherical up to a maximal error of O(log t) if d = 2 and O(√log t) if d ≥ 3. This paper addresses “av...
FAST MULTISCALE GAUSSIAN WAVEPACKET TRANSFORMS AND MULTISCALE GAUSSIAN BEAMS FOR THE WAVE EQUATION
ast multiscale Gaussian wavepacket transforms multiscale Gaussian beams wave equations
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2015/7/14
We introduce a new multiscale Gaussian beam method for the numerical solution of the wave equation with smooth variable coefficients. The first computational question addressed in this paper is how to...
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
Fast Gaussian wavepacket transforms Gaussian beams Schrodinger equation
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2015/7/14
This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to g...
A Convergent Multiscale Gaussian-Beam Parametrix for the Wave Equation
Multiscale Gaussian beams Multiscale Gaussian wave packets Phase space transform Wave equations
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2015/7/14
The Gaussian beam method is an asymptotic method for wave equations with highly oscillatory data. In a recent published paper by two of the authors, a multiscale Gaussian beam method was first propose...
Convergence of numerical solutions to stochastic age-dependent population equations driven by non-Gaussian noise
stochastic age-dependent population equations compensated Poisson random measure
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2010/9/25
It presents and analyzes the Euler methods for stochastic age-dependent population equations driven by Poisson random jump measure; Under the Local Lipschitz condition, we prove that the Euler approxi...
Molecular communication in fluid media: The additive inverse Gaussian noise channel
Molecular communication fluid media additive inverse Gaussian noise channel
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2011/1/17
We consider molecular communication, with information conveyed in the time of release of molecules.The main contribution of this paper is the development of a theoretical foundation for such a communi...
Gaussian Broadcast Channels with an Orthogonal and Bidirectional Cooperation Link
Gaussian Broadcast Channels Orthogonal Bidirectional Cooperation Link
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2010/11/24
This paper considers a system where one transmitter broadcasts a single common message to two receivers linked by a bidirectional cooperation channel, which is assumed to be orthogonal to the downlin...
The Capacity of the Semi-Deterministic Cognitive Interference Channel and its Application to Constant Gap Results for the Gaussian Channel
ThCapacity Semi-Deterministic Cognitive Interference Channel Application to Constant Gap Results
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2010/12/7
The cognitive interference channel (C-IFC) consists of a classical two-user interference channel in which the message of one user (the “primary” user) is non-causally available at
the transmitter of ...
Information geometry of the power inverse Gaussian distribution
power inverse Gaussian distribution information geometry ]Kullback divergence geometric structure
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2009/1/7
The power inverse Gaussian distribution is a common distri-
bution in reliability analysis and lifetime models. In this paper, we give
the geometric structures of the power inverse Gaussian manifold...
Certain Sufficiency Conditions on Gaussian Hypergeometric Functions
Gaussian hypergeometric functions Convex functions Starlike functions
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2008/7/1
Certain Sufficiency Conditions on Gaussian Hypergeometric Functions.
Convexity of the Zero-Balanced Gaussian Hypergeometric Functions with Respect to H鰈der Means
Multiplicatively convexity Log-convexity Hypergeometric functions Hö lder means
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2008/7/1
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
A Liminf Result on Two-parameter Gaussian Process
fractional wiener process increments liminfs
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2007/12/10
In this paper, a liminf behavior is studied of a two-parameter Gaussian process which is a generalization of a two-parameter Wiener process. The results improve on the liminfs in [7].
Factors of the Gaussian Coefficients
q-multinomial coefficient Gaussian coefficient q-Catalan number cyclotomic polynomial
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2014/6/3
There are many reasons for the Gaussian coefficients (or the q-binomial coefficients) to be polynomials. We show that the divisibility directly follows from the basic properties of cyclotomic polynomi...
The gaussian coefficients and overpartitions
Gaussian coefficient overpartition involution
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2014/6/3
We show that the formalism of overpartitions gives a simple involution for the product de nition of the Gaussian coefficients. In the formulation of our involution, an overline in the representation o...
Lattice computation of energy moments in canonical and Gaussian quantum statistics
Lattice computation of energy canonical Gaussian quantum statistics
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2010/11/2
We derive a lattice approximation for a class of equilibrium quantum statistics describing the behaviour of any combination and number of bosonic and fermionic particles with any sufficiently binding...