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This volume arose from a semester at CIRM-Luminy on "Thermodynamic
Formalism: Applications to Probability, Geometry and Fractals"
which brought together leading experts in the area to discuss
topical problems and recent progress. It includes a number of
surveys intended to make the field more accessible to younger
mathematicians and scientists wishing to learn more about the area.
Thermodynamic formalism has been a powerful tool in ergodic theory
and dynamical system and its applications to other topics,
particularly Riemannian geometry (especially in negative
curvature), statistical properties of dynamical systems and fractal
geometry. This work will be of value both to graduate students and
more senior researchers interested in either learning about the
main ideas and themes in thermodynamic formalism, and research
themes which are at forefront of research in this area.
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