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Mathematics

D-Index
42
Citations
7997
World Ranking
1776
National Ranking
49

Overview

Luigi Accardi is affiliated with the University of Rome Tor Vergata in Italy and has contributed extensively to the field of Mathematics, with a focus on Mathematical Physics, Artificial Intelligence, Atomic and Molecular Physics and Optics, Applied Mathematics, and Geometry and Topology.

Their research covers several specialized topics, including:

  • Quantum Mechanics and Applications
  • Quantum Information and Cryptography
  • Quantum Computing Algorithms and Architecture
  • Random Matrices and Applications
  • Advanced Topics in Algebra
  • Advanced Operator Algebra Research
  • Advanced mathematical theories

Luigi Accardi has published numerous papers in prominent venues, frequently contributing to:

  • Infinite Dimensional Analysis Quantum Probability and Related Topics
  • Random Operators and Stochastic Equations
  • Journal of Stochastic Analysis
  • arXiv (Cornell University)
  • Open Systems & Information Dynamics

Selected recent papers include:

  • "A Markov-Dobrushin Inequality for Quantum Channels," 2021, Open Systems & Information Dynamics
  • "The quantum moment problem for a classical random variable and a classification of interacting Fock spaces," 2022, Infinite Dimensional Analysis Quantum Probability and Related Topics
  • "Algebraic Hidden processes and Hidden Markov processes," 2024, Infinite Dimensional Analysis Quantum Probability and Related Topics
  • "Hidden quantum Markov processes," 2024, Infinite Dimensional Analysis Quantum Probability and Related Topics
  • "White noise delta functions and infinite-dimensional Laplacians," 2020, Infinite Dimensional Analysis Quantum Probability and Related Topics

Accardi has also contributed to book literature, with a publication by Springer International Publishing titled "Infinite Dimensional Analysis, Quantum Probability and Applications" in 2022.

Frequent collaborators in their works include Yun Gang Lu, Vyacheslav L. Girko, Anatoly Shiryaev, Franz Stückle, and Druck Und Verlag, indicating a network of joint research mainly in advanced mathematics and physics-related fields.

Best Publications

  • Quantum Theory and Its Stochastic Limit

    Igor Volovich;Yun Gang Lu;Luigi Accardi

  • Quantum Stochastic Processes

    Luigi Accardi;Alberto Frigerio;John T. Lewis

  • Conditional expectations in von Neumann algebras and a theorem of Takesaki

    Luigi Accardi;Carlo Cecchini

  • Topics in quantum probability

    Luigi Accardi

  • Interacting Fock Spaces and Gaussianization of Probability Measures

    Luigi Accardi;Marek Bożejko

  • Quantum Probability and Applications II

    Luigi Accardi;Wilhelm von Waldenfels

  • Compound Channels, Transition Expectations, and Liftings

    L. Accardi;M. Ohya

  • The weak coupling limit as a quantum functional central limit

    L. Accardi;A. Frigerio;Y. G. Lu

  • The noncommutative Markovian property

    L. Accardi

  • On the statistical meaning of complex numbers in quantum mechanics

    L Accardi;Aniello Fedullo

  • The Probabilistic Roots of the Quantum Mechanical Paradoxes

    Luigi Accardi

  • A White-Noise Approach to Stochastic Calculus

    Luigi Accardi;Yun Gang Lu;Igor V. Volovich

  • Renormalized Squares of White Noise and Other Non-Gaussian Noises as Lévy Processes on Real Lie Algebras

    Luigi Accardi;Uwe Franz;Michael Skeide

  • Non-commutative Markov chains

    L Accardi

  • On the quantum Feynman-Kac formula

    Luigi Accardi

  • Quantum Probability and Applications to the Quantum Theory of Irreversible Processes

    Luigi Accardi;Alberto Frigerio;Vittorio Gorini

  • Quantum independent increment processes on superalgebras

    Luigi Accardi;Michael Schürmann;Wilhelm von Waldenfels

  • Yang-Mills gauge fields as harmonic functions for the Levy laplacian

    L Accardi;P Gibilisco;I Volovich

  • THE WIGNER SEMI-CIRCLE LAW IN QUANTUM ELECTRO DYNAMICS

    L. Accardi;L. Accardi;Yungang Lu;Yungang Lu

  • Nonrelativistic Quantum Mechanics as a Noncommutative Markof Process

    Luigi Accardi;Luigi Accardi

Frequent Co-Authors

Masanori Ohya
Masanori Ohya Tokyo University of Science
Andrei Khrennikov
Andrei Khrennikov Linnaeus University
I. Ya. Aref'eva
I. Ya. Aref'eva Steklov Mathematical Institute
Ludwig Streit
Ludwig Streit Bielefeld University
Dariusz Chruściński
Dariusz Chruściński Nicolaus Copernicus University
Fabio Bagarello
Fabio Bagarello University of Palermo
Stefano Olla
Stefano Olla Paris Dauphine University
C. C. Heyde
C. C. Heyde Australian National University
Alessandro Laio
Alessandro Laio International School for Advanced Studies
Fionn Murtagh
Fionn Murtagh University of Huddersfield

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