What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Solvable Models in Quantum Mechanics (1494 citations)
- Nonstandard Methods in Stochastic Analysis and Mathematical Physics (430 citations)
- Singular Perturbations of Differential Operators (261 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (38.90%)
- Pure mathematics (25.91%)
- Mathematical physics (18.11%)
What were the highlights of his more recent work (between 2009-2021)?
- Mathematical analysis (38.90%)
- Pure mathematics (25.91%)
- Mathematical physics (18.11%)
In recent papers he was focusing on the following fields of study:
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.
Between 2009 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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