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improve readme
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rveltz committed Feb 15, 2018
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Expand Up @@ -12,8 +12,6 @@ PDMP.jl is a Julia package that allows simulation of *Piecewise Deterministic Ma

Please, read the [documentation](https://rveltz.github.io/PDMP.jl/latest) for more information.

[TOC]

We provide several methods for the simulation:

- a recent trick, called **CHV**, explained in [paper-2015](http://arxiv.org/abs/1504.06873) which allows to implement the **True Jump Method** without the need to use event detection schemes for the ODE integrator. These event detections can be quite unstable as explained in [paper-2015](http://arxiv.org/abs/1504.06873) and CHV provide a solution to this problem.
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Let's consider a stochastic process with following transitions.


| Transition | Rate |
|---|---|---|
|$x_d\to x_d-2$ if $x_d>0$ | 1 |
|$x_d\to x_d+2$ if $x_d<0$ | 1 |

* x_d => x_d - 2, rate = 1 if x_d > 0
* x_d => x_d + 2, rate = 1 if x_d < 0

This is encoded in the following function


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