Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 59 for “"asymptotic expansion"”.
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The asymptotic expansion method for heliumlike ions
… work is to explore the range of validity of the asymptotic expansion method for a nuclear charge Z ≥ 3. The asymptotic expansion method provides a simple analytical method to calculate the energies and properties of atoms with one electron in a highly excited state called a Rydberg state. The …
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An Asymptotic Expansion for Sums of Random Variables
In this thesis we introduce a local limit theorem for probability
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A New Asymptotic Expansion for Sums of Random Variables
… thesis we look to improve upon local Edgeworth expansions for probability distributions of sums of independent identically distributed random variables. Let X be a random variable with finite variance, and X1, X2, …, a sequence of i.i.d. random variables each with the same distribution as X. In …
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The narrow escape problem : a matched asymptotic expansion approach
… can escape. We use the method of matched asymptotic expansions to calculate the mean first passage time, defined as the time taken for the Brownian particle to escape from the domain through the absorbing window. This is known as the narrow escape problem. Since the mean escape time …
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Initial data to vacuum Einstein equations with asymptotic expansion
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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On the asymptotic expansion of the trace of the the [sic] heat kernel for a subelliptic operator
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1987.
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Asymptotic Expansion for the Time Evolution of the Probability Distribution Given by the Brownian Motion on Semialgebraic Sets
… in an o-minimal structure and we establish asymptotic expansions for the time evolution. We study the probability distribution as an example for the occurrence of special parameterized integrals of a globally subanalytic function and the exponential function of a globally subanalytic …
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Path integrals on manifolds with boundary and their asymptotic expansions
… like to do with path integrals is taking their asymptotic expansions; in the case of the heat kernel, this is the short time asymptotic expansion. In order to use time-slicing approximation here, one needs the approximation to be uniform in the time parameter. We show that this is possible by …
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Random walks conditioned to stay positive
… the first passage times. For x ≥ 0 we study the asymptotic expansion for the tail distribution P(t<sub>x</sub> > n) under the condition that one-step distribution has finite high moments. We also derive asymptotic expansion for local probabilities P(S<sub>n</sub> = x, t<sub>0</sub> > n). The …
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Spectral properties of Kähler quotients
The asymptotic behavior for the spectral measure of a Kähler manifold has been studied by many authors in the context of Kähler quantization. It is well known that the spectral measure has an asymptotic expansion, while the coefficients of this expansion are not known even for very simple examples. …
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Heat trace and heat content asymptotics for Schrodinger Operators of stable processes/fractional Laplacians
… and 0 < α ≤ 2. We show the existence of an asymptotic expansion by means of Fourier Transform techniques and probabilistic methods for the following quantities [special characters omitted] and [special characters omitted] as <em>t</em> ↓ 0. These quantities are called the <em>heat trace</em> …
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Higher Rank Bergman Kernels on Compact Riemann Surfaces
… We prove the existence of a global asymptotic expansion in powers of k of the Bergman kernel associated to the k-th symmetric product of h and omega.
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Stochastic Volatility Models: Option Price Approximation, Asymptotics and Maximum Likelihood Estimation
… thesis describes an approach that uses the above asymptotic expansion to invert, the option pricing function and extract the latent volatility, thereby overcoming one of the key difficulties in the estimation problem. The method is applied to estimate three popular stochastic volatility models, …
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Machine tool chatter suppression using spindle speed variation
… boundaries. In [1], the authors present asymptotic expansion for the top Lyapunov exponent of a scalar linear delay differential equation driven by a two state Markov process. We extend their result to a vector case. In the case when driving noise is small, we construct an asymptotic …
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Bergman kernel and stability of holomorphic vector bundles with sections
In this thesis, we introduce a notion of asymptotic stability for a holomorphic vector bundle with a global holomorphic section on a projective manifold. We prove that the special metric on the bundle studied by Bradlow is the limit of a sequence of balanced metrics that are induced from the …
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Radiation field for Einstein vacuum equations
… by Friedlander provides a direct approach to the asymptotic expansion of solutions to the wave equation near null infinity. We use this concept to study the asymptotic behavior of solutions to the Einstein Vacuum equations, which are close to Minkowski space, at null infinity. By imposing harmonic …
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Vortices and Rossby-wave radiation on the beta-plane
… a solution to the problem may be sought as an asymptotic expansion in ε. The near-field equation is then, to first order, a forced radial Rayleigh equation. For the nondivergent case, with no vortex stretching, a different dynamical balance holds in the far field. Chapter 2 derives an exact …
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Melt motion in floating-zone process for single crystal growth with an axial magnetic field
… single crystal, is studied by using asymptotic expansion. Centrifugal force, crystal growth speed, buoyancy, thermocapillarity and electromagnetic body force are the driving forces involved in the floating-zone process for growing single crystal. The strong, DC magnetic field …
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Forced Capillary-Gravity Waves in a 2D Rectangular Basin
… and gives an eigenvalue equation and an asymptotic expansion for the eigenvalues. Then, for the nonlinear problem, it is assumed that the frequency of the forcing is close to an eigenfrequency and the solution has an asymptotic expansion using a two time-scales approach. Under an edge …
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The Asymptotic Development of The Equations of Nuclear Reactor Theory
… shown to correspond to the leading term of an asymptotic expansion of the solution to the neutron transport equation for large near-homogeneous systems which are close to critical. The product of the fundamental unit-cell transport theory eigenfunction and the fundamental cell-homogenized …
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