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Roland Speicher

Roland Speicher

D-Index & Metrics

Mathematics

D-Index
46
Citations
9508
World Ranking
1347
National Ranking
77

Overview

Roland Speicher is affiliated with Saarland University in Germany and has a professional focus primarily in Mathematics. Their research encompasses subfields including Statistics and Probability, Mathematical Physics, Discrete Mathematics and Combinatorics, Geometry and Topology, and Applied Mathematics.

Their work covers a range of topics such as Random Matrices and Applications, Advanced Combinatorial Mathematics, Advanced Algebra and Geometry, Algebraic Structures and Combinatorial Models, Spectral Theory in Mathematical Physics, Markov Chains and Monte Carlo Methods, and Mathematical Analysis and Transform Methods.

Speicher has published extensively, with 44 works in Mathematics. Frequent venues for publication include arXiv (Cornell University), Random Matrices Theory and Application, Advances in Mathematics, Oberwolfach Reports, and Infinite Dimensional Analysis Quantum Probability and Related Topics.

  • A dynamical version of the SYK model and the q-Brownian motion, 2021, Random Matrices Theory and Application
  • The free field: Realization via unbounded operators and Atiyah property, 2023, Journal of Functional Analysis
  • A dual and conjugate system for q-Gaussians for all q, 2022, Advances in Mathematics
  • Lecture Notes on "Random Matrices", 2020, arXiv (Cornell University)
  • Joint global fluctuations of complex Wigner and deterministic matrices, 2021, Random Matrices Theory and Application

Their book publication includes Lectures on Random Matrices (2024), published by EMS series of lectures in mathematics.

Frequent co-authors in their research collaborations include Tobias Mai, Sheng Yin, Akihiro Miyagawa, Octavio Arizmendi, and Guillaume Cébron.

Best Publications

  • Lectures on the Combinatorics of Free Probability

    Alexandru Nica;Roland Speicher

  • Combinatorial Theory of the Free Product With Amalgamation and Operator-Valued Free Probability Theory

    Roland Speicher

  • Free Probability and Random Matrices

    James A. Mingo;Roland Speicher

  • An example of a generalized Brownian motion

    Marek Bożejko;Roland Speicher

  • Multiplicative functions on the lattice of non-crossing partitions and free convolution.

    Roland Speicher

  • q-Gaussian Processes: Non-commutative and Classical Aspects

    M. Bożejko;B. Kümmerer;R. Speicher

  • Convolution and limit theorems for conditionally free random variables

    Marek Bożejko;Michael Leinert;Roland Speicher

  • Stochastic calculus with respect to free Brownian motion and analysis on Wigner space

    Philippe Biane;Roland Speicher

  • Liberation of orthogonal Lie groups

    Teodor Banica;Roland Speicher

  • Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces

    Marek Bożejko;Roland Speicher

  • A New Example of'Independence' and ' White Noise'

    Roland Speicher

  • On the multiplication of free N-tuples of noncommutative random variables

    Alexandru Nica;Roland Speicher

  • Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces

    James A. Mingo;Roland Speicher

  • Second order freeness and fluctuations of random matrices: II. Unitary random matrices

    James A. Mingo;Piotr Śniady;Roland Speicher

  • FREE PROBABILITY THEORY AND NON-CROSSING PARTITIONS

    Roland Speicher

  • Second Order Freeness and Fluctuations of Random Matrices, III. Higher order freeness and free cumulants

    Benoit Collins;James A. Mingo;Piotr Sniady;Roland Speicher

  • Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem

    Serban T. Belinschi;Tobias Mai;Roland Speicher

  • Free diffusions, free entropy and free Fisher information

    Philippe Biane;Roland Speicher

  • R-diagonal pairs - a common approach to Haar unitaries and circular elements

    Alexandru Nica;Roland Speicher

  • Interpolations between bosonic and fermionic relations given by generalized brownian motions

    Marek Bożejko;Roland Speicher

Frequent Co-Authors

Teodor Banica
Teodor Banica CY Cergy Paris University
Jukka Corander
Jukka Corander University of Oslo
J. William Helton
J. William Helton University of California, San Diego
Giovanni Peccati
Giovanni Peccati University of Luxembourg
Benoît Collins
Benoît Collins Kyoto University
Uffe Haagerup
Uffe Haagerup University of Copenhagen
Ivan Nourdin
Ivan Nourdin University of Luxembourg

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