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Proof of the mass conservation property for the Fokker-Planck equation

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#multivariable-calculus #partial-differential-equations #stochastic-differential-equations
262
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The solution $X$ of the SDE $\mathrm d X_t = f(t, X_t) \mathrm d t + g(t, X_t) \mathrm d B_t$ is a Markov process

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#probability-theory #reference-request #stochastic-processes #markov-process #stochastic-differential-equations
99
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Show the solution of a scalar SDE

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#partial-differential-equations #stochastic-calculus #stochastic-differential-equations
130
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Solution of a GBM

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#stochastic-processes #stochastic-calculus #stochastic-differential-equations
38
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"Infinitely Small Quantity" in SDE

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#ordinary-differential-equations #stochastic-calculus #stochastic-differential-equations
35
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SDE in 2-dimensional time domain

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#ordinary-differential-equations #stochastic-differential-equations
94
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probabilistic interpretation of eigenvalues of the Laplacian

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#solution-verification #proof-explanation #stochastic-differential-equations
117
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Intuition for expression of most likely trajectory of an SDE

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#ordinary-differential-equations #stochastic-processes #soft-question #stochastic-differential-equations #euler-lagrange-equation
80
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Asymptotic variance of stochastic differential equation

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#stochastic-calculus #brownian-motion #stochastic-differential-equations
36
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Transition distribution of a stochastic process

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#measure-theory #stochastic-processes #brownian-motion #stochastic-differential-equations
59
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How to take the average of a stochastic differential equation?

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#stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-analysis #stochastic-differential-equations
143
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On Langevin equation and Ito's lemma

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#stochastic-processes #stochastic-calculus #stochastic-differential-equations
111
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Tensorial Ito formula for the tangent space of a manifold

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#differential-geometry #stochastic-processes #stochastic-calculus #stochastic-integrals #stochastic-differential-equations
59
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geometric Brownian motion and the weak efficient market hypothesis

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#martingales #stochastic-differential-equations
35
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Ito diffusion and conditional variance

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#stochastic-processes #conditional-probability #stochastic-differential-equations

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