Tackling galactic evolution in a truly novel way, this outstanding
thesis statistically explores the long-term evolution of galaxies,
using recent theoretical breakthroughs that explicitly account for
their self-gravity. While treating processes statistically, the
astrophysical differences on each scale are also captured. As the
archetype of self-amplified diffusion, the implications of the
thesis go far beyond astrophysics. Gravity is the driving force in
galaxies, from their far outskirts to their innermost cores. These
"extended kinetic theories" offer unique physical insights into the
competing dynamical processes at play, complementing N-body
approaches. The thesis successfully gauges the role of nature and
nurture in establishing the galaxies' observed properties, using
kinetic equations to capture both sources of fluctuations. Further,
it shows how secular diffusion shapes the phase space structure of
cold stellar disks. The thesis subsequently determines the
characteristic timescales and examines the signatures of secular
evolution in this framework on two scales: from the kinetic
evolution in galactic disks and their thickening via giant
molecular clouds; all the way down to the stellar resonant
relaxation of the central cluster and its black hole.
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