- Home
- Best Scientists - Mathematics
- Sergio Albeverio

Mathematics

Germany

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
75
Citations
24,453
986
World Ranking
129
National Ranking
6

2023 - Research.com Mathematics in Germany Leader Award

2022 - Research.com Mathematics in Germany Leader Award

- Quantum mechanics
- Mathematical analysis
- Algebra

Sergio Albeverio focuses on Mathematical analysis, Pure mathematics, Quantum mechanics, Mathematical physics and Discrete mathematics. Sergio Albeverio has included themes like Invariant and Random walk in his Mathematical analysis study. Sergio Albeverio combines subjects such as Stochastic process, Dirichlet's principle, Dirichlet distribution and Algebra with his study of Pure mathematics.

His Quantum mechanics research focuses on Theoretical physics and how it relates to Quantum dynamics, Quantum statistical mechanics, Complex system and Nonlinear system. His Mathematical physics research integrates issues from Analytic continuation and Homogeneous space. His Schrödinger's cat research includes themes of Dimension, Approximations of π, Point and Dimension.

- Solvable Models in Quantum Mechanics (1494 citations)
- Nonstandard Methods in Stochastic Analysis and Mathematical Physics (430 citations)
- Singular Perturbations of Differential Operators (261 citations)

Sergio Albeverio mostly deals with Mathematical analysis, Pure mathematics, Mathematical physics, Quantum and Quantum mechanics. The study incorporates disciplines such as Stochastic process, Lattice and Nonlinear system in addition to Mathematical analysis. His Pure mathematics study integrates concerns from other disciplines, such as Discrete mathematics, Space and Dirichlet distribution, Dirichlet form.

His studies deal with areas such as Eigenvalues and eigenvectors, Essential spectrum and Path integral formulation as well as Mathematical physics. His Quantum research is multidisciplinary, incorporating elements of Theoretical physics, Statistical physics and Euclidean geometry. His specific area of interest is Quantum mechanics, where Sergio Albeverio studies Hamiltonian.

- Mathematical analysis (38.90%)
- Pure mathematics (25.91%)
- Mathematical physics (18.11%)

- Mathematical analysis (38.90%)
- Pure mathematics (25.91%)
- Mathematical physics (18.11%)

His primary areas of investigation include Mathematical analysis, Pure mathematics, Mathematical physics, Nonlinear system and Applied mathematics. The various areas that Sergio Albeverio examines in his Mathematical analysis study include Invariant measure, Invariant and Dissipative system. His Pure mathematics study combines topics from a wide range of disciplines, such as Stochastic differential equation, Stochastic quantization and Dirichlet distribution.

His work carried out in the field of Applied mathematics brings together such families of science as Schrödinger's cat and Type. His Hilbert space course of study focuses on Bounded function and Combinatorics. His study in Quantum field theory is interdisciplinary in nature, drawing from both Quantum and Laplace operator.

- Theory of P-Adic Distributions: Linear and Nonlinear Models (108 citations)
- Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients (107 citations)
- p -Adic Multiresolution Analysis and Wavelet Frames (71 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Hamiltonian, Pure mathematics and Quantum mechanics. The Mathematical analysis study combines topics in areas such as Invariant and Dissipative system. Sergio Albeverio interconnects Term and Power series in the investigation of issues within Nonlinear system.

His Hamiltonian study combines topics in areas such as Bound state, Ground state, Norm and Resolvent. He regularly links together related areas like Discrete mathematics in his Pure mathematics studies. His Schrödinger's cat research is multidisciplinary, incorporating perspectives in Reconstruction procedure, Point, Type and Hermitian matrix.

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.

Solvable Models in Quantum Mechanics

Sergio Albeverio.

**(1988)**

2555 Citations

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Sergio Albeverio.

**(1986)**

808 Citations

Singular perturbations of differential operators : solvable Schrödinger type operators

Sergio Albeverio;Pavel Kurasov.

**(2000)**

683 Citations

Singular Perturbations of Differential Operators

Sergio Albeverio;Pavel Kurasov.

London Mathematical Society: Lecture Notes Series; 271 (2000) **(2000)**

411 Citations

Mathematical theory of Feynman path integrals

Sergio A. Albeverio;Raphael J. Høegh-Krohn.

**(1976)**

400 Citations

Solvable Models in Quantum Mechanics: Second Edition

S. Albeverio;F. Gesztesy;R. Høegh-Krohn;H. Holden.

**(2004)**

358 Citations

Extreme Events in Nature and Society

Sergio Albeverio;Volker Jentsch;Holger Kantz.

Extreme Events in Nature and Society **(2006)**

319 Citations

Analysis and Geometry on Configuration Spaces

S Albeverio;Yu.G Kondratiev;M Röckner.

Journal of Functional Analysis **(1998)**

311 Citations

Stochastic differential equations in infinite dimensions : solutions via Dirichlet forms

S. Albeverio;M. Röckner.

Probability Theory and Related Fields **(1991)**

304 Citations

Concurrence of arbitrary dimensional bipartite quantum states.

Kai Chen;Sergio Albeverio;Shao-Ming Fei;Shao-Ming Fei.

Physical Review Letters **(2005)**

289 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Capital Normal University

Bielefeld University

Universidade da Madeira

Max Planck Institute for Mathematics in the Sciences

Stockholm University

Norwegian University of Science and Technology

Baylor University

University of Vienna

Institut de Mathématiques de Jussieu

Linnaeus University

Harvard University

Intel (United States)

University of New South Wales

Johannes Gutenberg University of Mainz

University College Dublin

Zhengzhou University

British Trust for Ornithology

University of Florence

Katalapi Park Research and Education Center

Bahauddin Zakariya University

Grenoble Alpes University

University of Lincoln

INRAE : Institut national de recherche pour l'agriculture, l'alimentation et l'environnement

University of Washington

Barrow Neurological Institute

Leiden University

Something went wrong. Please try again later.