Conformal graph directed Markov systems on Carnot groups /

Conformal graph directed Markov systems on Carnot groups /

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"We develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, we develop the thermodynamic formalism and show that, under natural hypotheses, the limit set of an Carnot conformal...

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Bibliographic Details
Main Authors: Chousionis, Vasilionis, 1980- (Author), Tyson, Jeremy T., 1972- (Author), Urbański, Mariusz (Author)
Format: Book
Language:English
Published: Providence, RI : American Mathematical Society, [2020]
Providence, Rhode Island : [2020]
Series:Memoirs of the American Mathematical Society ; Number 266
Memoirs of the American Mathematical Society ; v. 1291
Subjects:
Conformal mapping
Hausdorff measures
Markov processes
Nilpotent Lie groups
Thermodynamics > Mathematical models
Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx} > Global differential geometry [See also 51H25, 58-XX; for related bund
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] > Complex dynamical systems [See also 30D05, 32H50] > Conformal densities and Hausdorff dimensi
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] > Dynamical systems with hyperbolic behavior > Thermodynamic formalism, variational principles,
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] > Smooth dynamical systems: general theory [See also 34Cxx, 34Dxx] > Smooth ergodic theory, inv
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] > Smooth dynamical systems: general theory [See also 34Cxx, 34Dxx] > Zeta functions, (Ruelle-Fr
Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] > Topological dynamics [See also 54H20] > Symbolic dynamics [See also 37Cxx, 37Dxx]
Functions of a complex variable {For analysis on manifolds, see 58-XX} > Analysis on metric spaces > Quasiconformal mappings in metric spaces
Measure and integration {For analysis on manifolds, see 58-XX} > Classical measure theory > Hausdorff and packing measures
Number theory > Diophantine approximation, transcendental number theory [See also 11K60] > Continued fractions and generalizations [See also 11A55, 11K50]
Operator theory > Nonlinear operators and their properties {For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx} > Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

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