List questions from brownian-motion

Published on 29 Mar 2026 - 16:47

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Positive Quadratic Variation implies infinite total variation

Published on 23 Feb 2026 - 6:36

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Geometric Brownian Motion definition

Published on 26 Jul 2020 - 15:48

744

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Limit of geometric brownian motion

Published on 26 Jul 2020 - 22:41

171

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Solve SDE (Solved)

Published on 03 Apr 2026 - 8:54

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For multivariate Brownian motion $B$, why does $\operatorname{E}(f(B_T) \mid B_t = x)$ satisfy a generalized heat equation?

Published on 28 Jul 2020 - 12:15

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Derivative of Stochastic Process in the Sense of Distribution

Published on 28 Jul 2020 - 20:47

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The expected value of the Ito integral of functions in $\mathcal{V}$ is zero, $\mathbb{E}[\int_S^T f dB_t] = 0$ for $f\in\mathcal{V}$

Published on 29 Mar 2026 - 4:44

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The canonical filtration of a Brownian motion is not a subset of the canonical filtration of its absolute process

Published on 26 Mar 2026 - 6:23

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Question about the solution to the SDE $dX_t = 1_{(0,\infty)}(X_t)dB_t, \; X_0 \coprod B$

Published on 27 Mar 2026 - 0:05

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$ X_s^{0,\xi}(\omega) + \int_s^t b(r,X_r^{0,\xi})dr + \int_s^t \sigma(r,X_r^{0,\xi})dB_r(\omega)$ is $\sigma(B_r - B_s:r\ge s)$-measurable

Published on 29 Mar 2026 - 4:43

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Getting an upper bound for Euclidean norms with separate dimensions

Published on 29 Jul 2020 - 21:17

158

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Brownian motion hitting probability of boundary and going outside

Published on 03 Apr 2026 - 10:37

280

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Is there a boundary in probability for Brownian motion?

Published on 06 Jul 2016 - 13:56

255

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Family of partitions, s.t. the quadratic variation of a BM diverges a.s.

Published on 23 Feb 2026 - 6:41

List Question

Change of measure

Positive Quadratic Variation implies infinite total variation

Geometric Brownian Motion definition

Limit of geometric brownian motion

Solve SDE (Solved)

For multivariate Brownian motion $B$, why does $\operatorname{E}(f(B_T) \mid B_t = x)$ satisfy a generalized heat equation?

Derivative of Stochastic Process in the Sense of Distribution

The expected value of the Ito integral of functions in $\mathcal{V}$ is zero, $\mathbb{E}[\int_S^T f dB_t] = 0$ for $f\in\mathcal{V}$

The canonical filtration of a Brownian motion is not a subset of the canonical filtration of its absolute process

Question about the solution to the SDE $dX_t = 1_{(0,\infty)}(X_t)dB_t, \; X_0 \coprod B$

$ X_s^{0,\xi}(\omega) + \int_s^t b(r,X_r^{0,\xi})dr + \int_s^t \sigma(r,X_r^{0,\xi})dB_r(\omega)$ is $\sigma(B_r - B_s:r\ge s)$-measurable

Getting an upper bound for Euclidean norms with separate dimensions

Brownian motion hitting probability of boundary and going outside

Is there a boundary in probability for Brownian motion?

Family of partitions, s.t. the quadratic variation of a BM diverges a.s.

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