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Klaus Schmidt

Klaus Schmidt

University of Vienna
Austria

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Mathematical analysis
  • Pure mathematics

Klaus Schmidt mostly deals with Pure mathematics, Discrete mathematics, Abelian group, Automorphism and Surgery. Klaus Schmidt has included themes like Algebraic number, Group action and Negative base in his Pure mathematics study. His research in the fields of Countable set, Haar measure and Topological entropy overlaps with other disciplines such as Homoclinic orbit.

His Abelian group research incorporates themes from Automorphisms of the symmetric and alternating groups, Mahler measure and Prime ideal. His Automorphism study integrates concerns from other disciplines, such as Algebraic cycle, Commutative algebra, Real algebraic geometry and Compact group. His Surgery study incorporates themes from Thyroid function and Cardiopulmonary bypass.

His most cited work include:

  • Dynamical Systems of Algebraic Origin (362 citations)
  • Perinatal outcome of fetal complete atrioventricular block: a multicenter experience. (263 citations)
  • On Periodic Expansions of Pisot Numbers and Salem Numbers (251 citations)

What are the main themes of his work throughout his whole career to date?

Pure mathematics, Automorphism, Abelian group, Discrete mathematics and Algebraic number are his primary areas of study. His Pure mathematics research includes elements of Salem number, Torus and Markov chain. His study in Automorphism is interdisciplinary in nature, drawing from both Ergodic theory, Compact group, Group and Prime ideal.

His research in Abelian group focuses on subjects like Surjective function, which are connected to Abelian sandpile model and Equivariant map. In his study, Abelian variety is inextricably linked to Elementary abelian group, which falls within the broad field of Discrete mathematics. In the field of Algebraic number, his study on Mahler measure overlaps with subjects such as Homoclinic orbit and Entropy.

He most often published in these fields:

  • Pure mathematics (66.46%)
  • Automorphism (54.04%)
  • Abelian group (48.45%)

What were the highlights of his more recent work (between 2012-2021)?

  • Algebraic number (32.92%)
  • Pure mathematics (66.46%)
  • Automorphism (54.04%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Algebraic number, Pure mathematics, Automorphism, Abelian group and Homoclinic orbit. The Algebraic number study combines topics in areas such as Countable set and Heisenberg group. Automorphism connects with themes related to Ergodic theory in his study.

His work deals with themes such as Discrete mathematics, Measure, Torus, Salem number and Eigenvalues and eigenvectors, which intersect with Ergodic theory. The various areas that Klaus Schmidt examines in his Abelian group study include Noncommutative geometry, Group and Mahler measure. His studies in Group integrate themes in fields like Zero divisor, Combinatorics and Structure.

Between 2012 and 2021, his most popular works were:

  • Homoclinic points, atoral polynomials, and periodic points of algebraic Z(d)-actions (22 citations)
  • A survey of algebraic actions of the discrete Heisenberg group (16 citations)
  • Pannexin-1 Deficient Mice Have an Increased Susceptibility for Atrial Fibrillation and Show a QT-Prolongation Phenotype. (9 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Mathematical analysis
  • Internal medicine

His scientific interests lie mostly in Homoclinic orbit, Algebraic number, Algebra, Heisenberg group and Countable set. He integrates many fields, such as Homoclinic orbit and engineering, in his works. His Algebraic number research includes themes of Discrete mathematics, Multiplicative function, Finite set and Special case.

His Algebra study focuses mostly on Structure, Noncommutative geometry and Group. His Development research incorporates elements of Abelian group and Automorphism.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Dynamical Systems of Algebraic Origin

Klaus Schmidt.
(1995)

572 Citations

Dynamical Systems of Algebraic Origin

Klaus Schmidt.
(1995)

572 Citations

Perinatal outcome of fetal complete atrioventricular block: a multicenter experience.

Klaus G. Schmidt;Herbert E. Ulmer;Norman H. Silverman;Charles S. Kleinman.
Journal of the American College of Cardiology (1991)

402 Citations

On Periodic Expansions of Pisot Numbers and Salem Numbers

Klaus Schmidt.
Bulletin of The London Mathematical Society (1980)

393 Citations

On Periodic Expansions of Pisot Numbers and Salem Numbers

Klaus Schmidt.
Bulletin of The London Mathematical Society (1980)

393 Citations

Tri-iodothyronine treatment in children after cardiac surgery: a double-blind, randomised, placebo-controlled study.

Markus Bettendorf;Klaus G Schmidt;Jürgen Grulich-Henn;Herbert E Ulmer.
The Lancet (2000)

305 Citations

Tri-iodothyronine treatment in children after cardiac surgery: a double-blind, randomised, placebo-controlled study.

Markus Bettendorf;Klaus G Schmidt;Jürgen Grulich-Henn;Herbert E Ulmer.
The Lancet (2000)

305 Citations

Mahler measure and entropy for commuting automorphisms of compact groups.

Douglas Lind;Klaus Schmidt;Tom Ward.
Inventiones Mathematicae (1990)

231 Citations

Mahler measure and entropy for commuting automorphisms of compact groups.

Douglas Lind;Klaus Schmidt;Tom Ward.
Inventiones Mathematicae (1990)

231 Citations

Automorphisms of compact groups

Bruce Kitchens;Klaus Schmidt.
Ergodic Theory and Dynamical Systems (1989)

217 Citations

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