The proper way of doing this would be by passing state as props
to Docs
component.
However, because you are using React Router
it can be accessed in a bit different way: this.props.route.param
instead of default this.props.param
So your code should look more or less like this:
<Route path="/docs" component={Docs} docs={this.state.docs} />
and
{this.props.route.docs.map(function(study, key) {
return <p>Random text here</p>;
})}