Sergio Albeverio

Mathematical Physics · 2000–2010

A researcher in the Science corpus: 22 papers; trusts 4 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 12 citations into it; #3,561 of 8,562 by trust here, #1,178 by citations
• Computational Theory and Mathematics — 9 citations into it; #7,526 of 12,182 by trust here, #6,463 by citations
• Algebra and Number Theory — 6 citations into it; #1,078 of 2,864 by trust here, #698 by citations
• Applied Mathematics — 6 citations into it

Whom Sergio Albeverio trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. S. Katok
2. Sh. A. Ayupov
3. Bakhrom Omirov
4. Robert L. Benedetto
5. Lars Olsen
6. John J. Benedetto
7. Viorel Barbu

Who trusts Sergio Albeverio overall

1. Peter Kuchment
2. Jian Wang
3. Katarzyna Sznajd-Weron
4. Ivan Kaygorodov
5. L. Erdős
6. Bakhrom Omirov
7. Gaëtan Borot
8. Nicholas M. Ercolani
9. Alice Guionnet
10. İsmail Demi̇r

Papers from Sergio Albeverio's perspective

Ordered by how strongly the researchers Sergio Albeverio trusts endorse each paper. Same corpus, a different order for every researcher.

1. A wavelet theory for local fields and related groups
2. Harmonic Analysis in the p-Adic Lizorkin Spaces: Fractional Operators, Pseudo-Differential Equations, p-Adic Wavelets, Tauberian Theorems
3. Examples of wavelets for local fields
4. Fractal probability distributions and transformations preserving the Hausdorff–Besicovitch dimension (Ergodic Theory and Dynamical Systems)
5. Carleman Estimates and Controllability of Linear Stochastic Heat Equations
6. P-adic Analysis Compared With Real
7. Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
8. A wavelet tour of signal processing
9. Non-commutative Lp-spaces〔和文〕 (作用表環論の進展)
10. Theory of operator algebras

Their papers

• On the 1/n Expansion for Some Unitary Invariant Ensembles of Random Matrices (2001) — 101 citations
• Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients (2010) — 150 citations
• p-Adic Multiresolution Analysis and Wavelet Frames (2008) — 110 citations
• Invariant Measures and Symmetry Property of Lévy Type Operators (2000) — 86 citations
• Theory of p -adic Distributions: Linear and Nonlinear Models: References (2010) — 91 citations
• Existence of mild solutions for stochastic differential equations and semilinear equations with non-Gaussian Lévy noise (2009) — 80 citations
• On a Time-Optimal Control Problem Associated with the Heat Exchange Process (2008) — 49 citations
• Classification of 4-dimensional nilpotent complex Leibniz algebras (2006) — 74 citations
• Extreme Events in Nature and Society (2006) — 326 citations
• Cartan Subalgebras, Weight Spaces, and Criterion of Solvability of Finite Dimensional Leibniz Algebras (2006) — 51 citations
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS (2005) — 109 citations
• Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five (2005) — 71 citations
• Stochastic Integrals and the Lévy–Ito Decomposition Theorem on Separable Banach Spaces (2005) — 55 citations
• Feynman path integrals for polynomially growing potentials (2005) — 50 citations
• Topological and fractal properties of real numbers which are not normal (2005) — 66 citations
• Fractal probability distributions and transformations preserving the Hausdorff–Besicovitch dimension (2004) — 55 citations
• Solvable Models in Quantum Mechanics: Second Edition (2004) — 335 citations
• Schrödinger Operators on Lattices. The Efimov Effect and Discrete Spectrum Asymptotics (2003) — 137 citations
• Encyclopaedia of Mathematics, Supplement III (2002) — 57 citations
• A note on invariants and entanglements (2001) — 157 citations