Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Two-Dimensional Self-Stabilizing Byzantine Clock
  Synchronization in WALDEN   For tolerating Byzantine faults of both the terminal and communication
components in self-stabilizing clock synchronization, the two-dimensional
self-stabilizing Byzantine-fault-tolerant clock synchronization problem is
investigated and solved. By utilizing the time-triggered (TT) stage provided in
the underlying networks as TT communication windows, the approximate agreement,
hopping procedure, and randomized grandmasters are integrated into the overall
solution. It is shown that with partitioning the communication components into
$3$ arbitrarily connected subnetworks, efficient synchronization can be
achieved with one such subnetwork and less than $1/3$ terminal components being
Byzantine. Meanwhile, the desired stabilization can be reached for the specific
networks in one or several seconds with high probabilities. This helps in
developing various distributed hard-real-time systems with stringent time,
resources, and safety requirements.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph