D-Index & Metrics Best Publications

D-Index & Metrics

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 48 Citations 9,379 308 World Ranking 632 National Ranking 7

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Statistics
  • Artificial intelligence

Andrei Khrennikov spends much of his time researching Quantum, Quantum mechanics, Statistical physics, Quantum probability and Theoretical physics. His Quantum study combines topics in areas such as Probabilistic logic, Cognition and Observable. His Statistical model research extends to Quantum mechanics, which is thematically connected.

The Statistical physics study combines topics in areas such as CHSH inequality, Master equation, Conditional probability, POVM and Randomness. The various areas that Andrei Khrennikov examines in his Quantum probability study include Consistent histories, Probability theory, Quantum computer, Quantum state and Sure-thing principle. His Theoretical physics study incorporates themes from Complementarity, Interpretations of quantum mechanics, Existential quantification and Bell test experiments.

His most cited work include:

  • Non-Archimedean analysis : quantum paradoxes, dynamical systems and biological models (481 citations)
  • Quantum Social Science (337 citations)
  • Ubiquitous Quantum Structure (333 citations)

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

His scientific interests lie mostly in Quantum, Quantum mechanics, Statistical physics, Theoretical physics and Quantum probability. In his study, Hilbert space is strongly linked to Observable, which falls under the umbrella field of Quantum. His study in Quantum statistical mechanics, Open quantum system, Quantum dynamics, Quantization and Quantum state is done as part of Quantum mechanics.

His Statistical physics research includes themes of Statistical model and Statistical field theory. Andrei Khrennikov interconnects Bohr model, Quantum nonlocality, Quantum entanglement and Kochen–Specker theorem in the investigation of issues within Theoretical physics. His Quantum probability research is multidisciplinary, relying on both Law of total probability, Probability theory and Interpretations of quantum mechanics.

He most often published in these fields:

  • Quantum (32.35%)
  • Quantum mechanics (22.14%)
  • Statistical physics (19.80%)

What were the highlights of his more recent work (between 2015-2021)?

  • Quantum (32.35%)
  • Quantum probability (13.78%)
  • Theoretical physics (17.22%)

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

His primary areas of investigation include Quantum, Quantum probability, Theoretical physics, Statistical physics and Quantum information. His Quantum research incorporates themes from Mathematical economics and Observable. His biological study spans a wide range of topics, including Interpretations of quantum mechanics, Quantum cognition, Quantum Bayesianism, Quantum information science and Quantum state.

As a part of the same scientific study, Andrei Khrennikov usually deals with the Theoretical physics, concentrating on Bohr model and frequently concerns with Hidden variable theory. As a part of the same scientific family, Andrei Khrennikov mostly works in the field of Statistical physics, focusing on Ultrametric space and, on occasion, Cluster. His research in Quantum information focuses on subjects like Open quantum system, which are connected to Quantum dynamics.

Between 2015 and 2021, his most popular works were:

  • Modeling Fluid’s Dynamics with Master Equations in Ultrametric Spaces Representing the Treelike Structure of Capillary Networks (36 citations)
  • Classical (Local and Contextual) Probability Model for Bohm-Bell Type Experiments: No-Signaling as Independence of Random Variables (34 citations)
  • Probability And Randomness: Quantum Versus Classical (33 citations)

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

  • Quantum mechanics
  • Statistics
  • Mathematical analysis

The scientist’s investigation covers issues in Quantum, Quantum mechanics, Quantum probability, Quantum nonlocality and Observable. Andrei Khrennikov is studying Bell's theorem, which is a component of Quantum. His Quantum mechanics research incorporates elements of Test, Sample and Volume.

His Quantum probability research includes elements of Interpretations of quantum mechanics, Quantum cognition, Statistical physics, Quantum state and Algorithm. Andrei Khrennikov combines subjects such as Statistical hypothesis testing, Bohr model and Complementarity with his study of Quantum nonlocality. His studies in Observable integrate themes in fields like Hermitian matrix and Uncertainty principle.

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

Ubiquitous Quantum Structure

Andrei Y. Khrennikov.
Ubiquitous Quantum Structure: From Psychology to Finance (2010)

525 Citations

Non-Archimedean analysis : quantum paradoxes, dynamical systems and biological models

Andrei Khrennikov.
(1997)

487 Citations

Ubiquitous Quantum Structure: From Psychology to Finance

Andrei Khrennikov.
(2010)

459 Citations

Quantum Social Science

Emmanuel Haven;Andrei Khrennikov.
qss (2013)

441 Citations

p-Adic Valued Distributions in Mathematical Physics

Andrei Y. Khrennikov.
(2012)

402 Citations

Interpretations of Probability

Andrei Khrennikov.
(1999)

388 Citations

Non-Archimedean Analysis

Andrei Khrennikov.
(1997)

381 Citations

Contextual Approach to Quantum Formalism

Andrei Khrennikov.
(2009)

324 Citations

Information dynamics in cognitive, psychological, social and anomalous phenomena

Andrei Khrennikov.
(2004)

266 Citations

Applied Algebraic Dynamics

Vladimir Anashin;Andrei Khrennikov.
(2009)

229 Citations

Best Scientists Citing Andrei Khrennikov

Jerome R. Busemeyer

Jerome R. Busemeyer

Indiana University

Publications: 51

Ehtibar N. Dzhafarov

Ehtibar N. Dzhafarov

Purdue University West Lafayette

Publications: 34

Fionn Murtagh

Fionn Murtagh

University of Huddersfield

Publications: 25

Sergio Albeverio

Sergio Albeverio

University of Bonn

Publications: 24

Peter Bruza

Peter Bruza

Queensland University of Technology

Publications: 23

Luigi Accardi

Luigi Accardi

University of Rome Tor Vergata

Publications: 9

Dawei Song

Dawei Song

Beijing Institute of Technology

Publications: 9

Themistocles M. Rassias

Themistocles M. Rassias

National Technical University of Athens

Publications: 9

Taekyun Kim

Taekyun Kim

Kwangwoon University

Publications: 9

Giacomo Mauro D'Ariano

Giacomo Mauro D'Ariano

University of Pavia

Publications: 8

Yeol Je Cho

Yeol Je Cho

Gyeongsang National University

Publications: 7

Walter Philipp

Walter Philipp

University of Illinois at Urbana-Champaign

Publications: 6

Mohammad Sal Moslehian

Mohammad Sal Moslehian

Ferdowsi University of Mashhad

Publications: 6

Shao-Ming Fei

Shao-Ming Fei

Capital Normal University

Publications: 6

Igor E. Shparlinski

Igor E. Shparlinski

UNSW Sydney

Publications: 6

Richard D. Gill

Richard D. Gill

Leiden University

Publications: 5

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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