diff --git a/slides/containers/Init_Systems.md b/slides/containers/Init_Systems.md
new file mode 100644
index 00000000..510cdbe8
--- /dev/null
+++ b/slides/containers/Init_Systems.md
@@ -0,0 +1,137 @@
+# Init systems and PID 1
+
+In this chapter, we will consider:
+
+- the role of PID 1 in the world of Docker,
+
+- how to avoid some common pitfalls due to the misuse of init systems.
+
+---
+
+## What's an init system?
+
+- On UNIX, the "init system" (or "init" in short) is PID 1.
+
+- It is the first process started by the kernel when the system starts.
+
+- It has multiple responsibilities:
+
+  - start every other process on the machine,
+
+  - reap orphaned zombie processes.
+
+---
+
+class: extra-details
+
+## Orphaned zombie processes ?!?
+
+- When a process exits (or "dies"), it becomes a "zombie".
+
+  (Zombie processes show up in `ps` or `top` with the status code `Z`.)
+
+- Its parent process must *reap* the zombie process.
+
+  (This is done by calling `waitpid()` to retrieve the process' exit status.)
+
+- When a process exits, if it has child processes, these processes are "orphaned."
+
+- They are then re-parented to PID 1, init.
+
+- Init therefore needs to take care of these orphaned processes when they exit.
+
+---
+
+## Don't use init systems in containers
+
+- It's often tempting to use an init system or a process manager.
+
+  (Examples: *systemd*, *supervisord*...)
+
+- Our containers are then called "system containers".
+
+  (By contrast with "application containers".)
+
+- "System containers" are similar to lightweight virtual machines.
+
+- They have multiple downsides:
+
+  - when starting multiple processes, their logs get mixed on stdout,
+
+  - if the application process dies, the container engine doesn't see it.
+
+- Overall, they make it harder to operate troubleshoot containerized apps.
+
+---
+
+## Exceptions and workarounds
+
+- Sometimes, it's convenient to run a real init system like *systemd*.
+
+  (Example: a CI system whose goal is precisely to test an init script or unit file.)
+
+- If we need to run multiple processes: can we use multiple containers?
+
+  (Example: [this Compose file](https://github.com/jpetazzo/container.training/blob/master/compose/simple-k8s-control-plane/docker-compose.yaml) runs multiple processes together.)
+
+- When deploying with Kubernetes:
+
+  - a container belong to a pod,
+
+  - a pod can have multiple containers.
+
+---
+
+## What about these zombie processes?
+
+- Our application runs as PID 1 in the container.
+
+- Our application may or may not be designed to reap zombie processes.
+
+- If our application uses subprocesses and doesn't reap them ...
+
+  ... this can lead to PID exhaustion!
+
+  (Or, more realistically, to a confusing herd of zombie processes.)
+
+- How can we solve this?
+
+---
+
+## Tini to the rescue
+
+- Docker can automatically provide a minimal `init` process.
+
+- This is enabled with `docker run --init ...`
+
+- It uses a small init system ([tini](https://github.com/krallin/tini)) as PID 1:
+
+  - it reaps zombies,
+
+  - it forwards signals,
+
+  - it exits when the child exits.
+
+- It is totally transparent to our application.
+
+- We should use it if our application creates subprocess but doesn't reap them.
+
+---
+
+class: extra-details
+
+## What about Kubernetes?
+
+- Kubernetes does not expose that `--init` option.
+
+- However, we can achieve the same result with [Process Namespace Sharing](https://kubernetes.io/docs/tasks/configure-pod-container/share-process-namespace/).
+
+- When Process Namespace Sharing is enabled, PID 1 will be `pause`.
+
+- That `pause` process takes care of reaping zombies.
+
+- Process Namespace Sharing is available since Kubernetes 1.16.
+
+- If you're using an older version of Kubernetes ...
+
+  ... you might have to add `tini` explicitly to your Docker image.
diff --git a/slides/intro-fullday.yml b/slides/intro-fullday.yml
index e5d32e8a..7daec807 100644
--- a/slides/intro-fullday.yml
+++ b/slides/intro-fullday.yml
@@ -60,6 +60,7 @@ chapters:
 -
   - containers/Docker_Machine.md
   - containers/Advanced_Dockerfiles.md
+  - containers/Init_Systems.md
   - containers/Application_Configuration.md
   - containers/Logging.md
 -
diff --git a/slides/intro-selfpaced.yml b/slides/intro-selfpaced.yml
index 14c494b3..07a5bca6 100644
--- a/slides/intro-selfpaced.yml
+++ b/slides/intro-selfpaced.yml
@@ -52,6 +52,7 @@ chapters:
   - containers/Exercise_Composefile.md
   - containers/Docker_Machine.md
 - - containers/Advanced_Dockerfiles.md
+  - containers/Init_Systems.md
   - containers/Application_Configuration.md
   - containers/Logging.md
   - containers/Resource_Limits.md