I. Introduction (What is new in RMT, Superconducting quasiparticles,
Experimental platforms)
II. Topological superconductivity (Kitaev chain, Majorana operators, Majorana
zero-modes, Phase transition beyond mean-field)
III. Fundamental symmetries (Particle-hole symmetry, Majorana representation,
Time-reversal and chiral symmetry)
IV. Hamiltonian ensembles (The ten-fold way, Midgap spectral peak, Energy
level repulsion)
V. Scattering matrix ensembles (Fundamental symmetries, Chaotic scattering,
Circular ensembles, Topological quantum numbers)
VI. Electrical conduction (Majorana nanowire, Counting Majorana zero-modes,
Conductance distribution, Weak antilocalization, Andreev resonances, Shot noise
of Majorana edge modes)
VII. Thermal conduction (Topological phase transitions, Super-universality,
Heat transport by Majorana edge modes, Thermopower and time-delay matrix,
Andreev billiard with chiral symmetry)
VIII. Josephson junctions (Fermion parity switches, 4{\pi}-periodic Josephson
effect, Discrete vortices)
IX. ConclusionComment: V1: 18 pages, 16 figures; pre-submission version, for feedback; V2:
33 pages, 31 figures; greatly expanded in response to feedback, thank you!;
V3: minor corrections, version to be published in Reviews of Modern Physic
