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Ergodic Theory on Compact Spaces
Measure-theoretic dynamical systems.- Measures on compact metric spaces.- Invariant measures for continuous tranformations.- Time averages.- Ergodicity.- Mixing and transitivity.- Shifts and… Expand
Inferring Cellular Networks Using Probabilistic Graphical Models
Adaptive dynamics and evolutionary stability
A dynamics for frequency dependent selection is proposed and applied to several biological examples. The relation with game dynamics and evolutionary stability is analyzed.
Generic properties of invariant measures for AxiomA-diffeomorphisms
- K. Sigmund
- 1 June 1970
On dynamical systems with the specification property
- K. Sigmund
- 1 April 1974
A continuous transfornation T of a compact metric space X satisfies the specification property if one can approximate distinct pieces of orbits by single periodic orbits with a certain uniformity.… Expand
The evolution of stochastic strategies in the Prisoner's Dilemma
The evolution of reactive strategies for repeated 2×2-games occurring in biology is investigated by means of an adaptive dynamics.
Automata, repeated games and noise
We consider two-state automata playing repeatedly the Prisoner's Dilemma (or any other 2 × 2-game). The 16 × 16-payoff matrix is computed for the limiting case of a vanishingly small noise term… Expand
Antigenic oscillations and shifting immunodominance in HIV-1 infections
ATYPICAL protein antigen contains several epitopes that can be recognized by cytotoxic T lymphocytes (CTL), but in a characteristic antiviral immune response in vivo, CTL recognize only a small… Expand
Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity
The question of cooperation is crucial for understanding Darwinian evolution. Theories of cooperation have been based on kin selection, group selection, and reciprocal altruism. The idea of… Expand