scientific article; zbMATH DE number 2079135

zbMath1048.37001MaRDI QIDQ4474935

John Franks, Michał Misiurewicz

Publication date: 22 July 2004

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zbMATH Keywords

Conley indextopological entropyLefschetz numberpseudo-Anosov homeomorphismchain recurrent set

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Combinatorial dynamics (types of periodic orbits) (37E15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (9)

Hamiltonian pseudo-rotations of projective spaces ⋮ Plurisubharmonic Lyapunov functions ⋮ Lower bounds of the topological entropy for nonautonomous dynamical systems ⋮ Turning numbers for periodic orbits of disk homeomorphisms ⋮ Entropy formula for random ℤ^{𝕜}-actions ⋮ A note on partially hyperbolic attractors: entropy conjecture and SRB measures ⋮ A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies ⋮ Algorithms for constructing isolating sets of phase flows and computer-assisted proofs with the use of interval Taylor models ⋮ Brief survey on the topological entropy

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