List questions from laplace-method

Published on 11 May 2026 - 4:18

71

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Has anybody ever heard about this theorem? $L\{f'(t)\}(0)+f(0)=k$

Published on 25 Mar 2026 - 16:03

42

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Convergence rate of Laplace principle in Large Deviations

Published on 11 May 2026 - 6:39

114

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Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

Published on 11 May 2026 - 3:17

116

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Asymptotic formula of a definite double integral

Published on 25 Mar 2026 - 16:01

119

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Solving the PDE through Laplace Transform Method

Published on 25 Mar 2026 - 23:35

79

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Evaluation of integral $\int_{0}^{\infty} \frac{(k-\frac{1}{2})^{u+j}}{(k+\frac{1}{2})^{u+j+2}} \sqrt{k} J^2_{\ell}(k) \sin{(\tau\sqrt{k})}dk$

Published on 25 Mar 2026 - 17:44

253

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Parametric approximation of the expectation of a function

Published on 25 Mar 2026 - 15:59

379

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Asymptotic expansion of a Laplace-type integral with a "manifold of maxima"

Published on 25 Mar 2026 - 19:06

160

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Extension of laplace method's

Published on 25 Mar 2026 - 15:59

353

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Evaluating the leading term of asymptotics

Published on 25 Mar 2026 - 16:01

85

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A variant on Laplace's method $\int_{-\pi}^{\pi} \cos^{2n} (x/2) \cos( m x) dx \sim \frac{1}{\sqrt{n} }$

Published on 25 Mar 2026 - 19:10

136

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Use Laplace's method with $\int_{0}^{\infty} e^{x(3u-u^3)}du$ as $x\rightarrow \infty$

Published on 25 Mar 2026 - 16:01

2.3k

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Integral of Absolute Value of $\sin(x)$

Published on 25 Mar 2026 - 17:39

210

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Evaluation of Gaussian integrals.

Published on 25 Mar 2026 - 16:06

List Question

Concentration of Gibbs measures with converging energy functions

Has anybody ever heard about this theorem? $L\{f'(t)\}(0)+f(0)=k$

Convergence rate of Laplace principle in Large Deviations

Asymptotic expansion of $\int_0^1 e^{x(tp-\frac{1}{2}t^2)}dt$ as $x\to\infty$ for different $p$

Asymptotic formula of a definite double integral

Solving the PDE through Laplace Transform Method

Evaluation of integral $\int_{0}^{\infty} \frac{(k-\frac{1}{2})^{u+j}}{(k+\frac{1}{2})^{u+j+2}} \sqrt{k} J^2_{\ell}(k) \sin{(\tau\sqrt{k})}dk$

Parametric approximation of the expectation of a function

Asymptotic expansion of a Laplace-type integral with a "manifold of maxima"

Extension of laplace method's

Evaluating the leading term of asymptotics

A variant on Laplace's method $\int_{-\pi}^{\pi} \cos^{2n} (x/2) \cos( m x) dx \sim \frac{1}{\sqrt{n} }$

Use Laplace's method with $\int_{0}^{\infty} e^{x(3u-u^3)}du$ as $x\rightarrow \infty$

Integral of Absolute Value of $\sin(x)$

Evaluation of Gaussian integrals.

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