# Questions tagged [local-time]

Local time is a stochastic process associated with semimartingale processes such as Brownian motion, that characterizes the amount of time a particle has spent at a given level.

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### Countably many discontinuities in a function of two variables

This question concerns an object from probability theory, but it should require only analysis to answer. The local time process $(t,a) \mapsto L_t^a$ of a continuous semimartingale is a real-valued ...
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### Continuity of a certain integral/additive functional

Let $L_x^t$ local time of a standard Brownian motion on $(\Omega,\mathcal{F},\mathbb{P})$. Furthermore let $L_x^t$ the jointly continous version. Assume $m[0, \infty) \rightarrow [0,\infty)$ is ...
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### Working with ratios - how to get math correct for this question?

On TVTropes, Webcomic Time (link) is when real-world time does not reflect the passage of time in the comic, basically, real-time and time in the comic book are asynchronous. On the link above, it ...
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### Time derivative of Local time

Consider a Ito Process,not necessarily Brownian Motion, $(X_t)_{t\geq 0}$ starting at 0 and define the associated Local Time at $0$: L_{t}=\lim_{\epsilon \rightarrow 0}\frac{1}{2\...
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### 2 pipes working to empty a tank.

A pipe can empty a tank in 40 min. A second pipe with diameter twice as much as that of the first is also attached with the tank to empty it. The two together can empty the tank in ? I am attaching ...
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### 1 Gigasecond is also a Teramilisecond? [closed]

I'm reasoning about some time parsing thing in JavaScript which uses millisecond-precision for Date objects and Unix System time does use seconds. Putting problems with precision loss for conversion- ...