Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anatomy of Leadership in Collective Behaviour   Understanding the mechanics behind the coordinated movement of mobile animal
groups (collective motion) provides key insights into their biology and
ecology, while also yielding algorithms for bio-inspired technologies and
autonomous systems. It is becoming increasingly clear that many mobile animal
groups are composed of heterogeneous individuals with differential levels and
types of influence over group behaviors. The ability to infer this differential
influence, or leadership, is critical to understanding group functioning in
these collective animal systems. Due to the broad interpretation of leadership,
many different measures and mathematical tools are used to describe and infer
"leadership", e.g., position, causality, influence, information flow. But a key
question remains: which, if any, of these concepts actually describes
leadership? We argue that instead of asserting a single definition or notion of
leadership, the complex interaction rules and dynamics typical of a group
implies that leadership itself is not merely a binary classification (leader or
follower), but rather, a complex combination of many different components. In
this paper we develop an anatomy of leadership, identify several principle
components and provide a general mathematical framework for discussing
leadership. With the intricacies of this taxonomy in mind we present a set of
leadership-oriented toy models that should be used as a proving ground for
leadership inference methods going forward. We believe this multifaceted
approach to leadership will enable a broader understanding of leadership and
its inference from data in mobile animal groups and beyond.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th