Gustav A. Hedlund
American mathematician, one of the founders of symbolic and topological dynamics
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Mathematics
Gustav A. Hedlund's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Gustav A. Hedlund Influential?
(Suggest an Edit or Addition)According to Wikipedia, Gustav Arnold Hedlund , an American mathematician, was one of the founders of symbolic and topological dynamics. Biography Hedlund was born May 7, 1904, in Somerville, Massachusetts. He did his undergraduate studies at Harvard University, earned a master's degree from Columbia University, and returned to Harvard for his doctoral studies. He was a student of Marston Morse, under whose supervision he received a Ph.D. in 1930 with thesis entitled "I. Geodesics on a Two-Dimensional Riemannian Manifold with Periodic Coefficients II. Poincare's Rotation Number and Morse's Type Number".
Gustav A. Hedlund's Published Works
Published Works
- Symbolic Dynamics II. Sturmian Trajectories (1940) (835)
- Endomorphisms and automorphisms of the shift dynamical system (1969) (752)
- Fuchsian groups and transitive horocycles (1936) (196)
- Unending chess, symbolic dynamics and a problem in semigroups (1944) (190)
- Geodesics on a Two-Dimensional Riemannian Manifold With Periodic Coefficients (1932) (177)
- The dynamics of geodesic flows (1939) (150)
- Sturmian Minimal Sets (1944) (90)
- A characterization of the Morse minimal set (1964) (53)
- Manifolds without conjugate points (1942) (45)
- On the Metrical Transitivity of the Geodesics on Closed Surfaces of Constant Negative Curvature (1934) (45)
- Geodesic flows of manifolds of constant negative curvature (1955) (42)
- A Metrically Transitive Group Defined by the Modular Groups (1935) (34)
- for maps of the interval (1980) (32)
- _ P = _ R for Maps of the Interval (1980) (32)
- Fuchsian Groups and Mixtures (1939) (28)
- A New Proof for a Metrically Transitive System (1940) (26)
- The commuting block maps problem (1979) (22)
- Continuous maps of the interval whose periodic points form a closed set (1980) (18)
- A class of transformations of the plane (1955) (16)
- Periods of Some Nonlinear Shift Registers (1979) (14)
- Two-Dimensional Manifolds and Transitivity (1936) (14)
- The structure of minimal sets (1948) (13)
- The dynamics of transformation groups (1949) (8)
- On the Metrical Transitivity of the Geodesics on a Surface of Constant Negative Curvature. (1934) (6)
- The measure of geodesic types on surfaces of negative curvature (1939) (5)
- Poincaré’s rotation number and Morse’s type number (1932) (5)
- On the Measure of the Non-Special Geodesics on a Surface of Constant Negative Curvature. (1933) (3)
- Recent advances in topological dynamics : proceedings of the Conference on Topological Dynamics, held at Yale University, June 19-23, 1972, in honor of Professor Gustav Arnold Hedlund on the occasion of his retirement (1973) (3)
- Review: Luther Pfahler Eisenhart, An Introduction to Differential Geometry with Use of the Tensor Calculus (1942) (1)
- Regular almost periodicity (1955) (0)
- Orbit-closure partitions (1955) (0)
- TOPOLOGICAL DYNAMICS; A BOOK REVIEW (1957) (0)
- Asymptotic relations in topological groups (1951) (0)
- Cylinder flows and a planar flow (1955) (0)
- Recurrent Geodesics on Any Closed Orientable Surface of Genus One. (1932) (0)
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