Anatoliy Malyarenko
I am a professor of mathematics at the Mälardalen University in Sweden.
My responsibilities are teaching, supervising, research, and administration.
It is my primary home page. To the right, you may see the references to my other home pages.
Research Areas
My research is a part of the research environment Mathematics/Applied Mathematics at the Mälardalen University. To give you impression about my research areas, some of my research presentations follow.
Tensor- and spinor-valued random fields with applications to continuum physics and cosmology. Norwegian-Ukrainian arctic workshop 2021 on stochastic analysis, probability theory, and related topics. The Svalbard University Centre, Norway, October 5, 2021.
Tensor-valued random fields in continuum physics. Research seminar, Michigan State University, East Lansing, USA, November 19, 2019.
Mapping the dark Universe: statistical analysis of cosmological distortion fields. Division of Applied Mathematics, Mälardalen University, MAM Workshop in Probability Theory, Mathematical Statistics and Applications, November 21, 2018.
Tensor-Valued Random Fields Describing the Piezoelectric Effect. 13th World Congress in Computational Mechanics, New York, USA, July 25, 2018.
Damage Tensor-Valued Random Fields. Emerging Trends in Applied Mathematics and Mechanics ETAMM2018, Kraków, Poland, June 20, 2018.
Random fields related to the symmetry classes of second-order symmetric tensors. Stochastic Processes and Algebraic Structures — From Theory Towards Applications on the occasion of the 70th birthday of Professor Dmitrii Silvestrov, Stockholm University, October 6, 2017.
Spectral expansions of random sections of spin and tensor bundles. Workshop "Isotropic random fields in astrophysics", Cardiff University, UK, June 29, 2017.
Fractal planetary rings: energy inequalities and random field model. 17th Applied Stochastic Models and Data Analysis International Conference, London, UK, June 7, 2017.
Random fields, cosmology, and all that. Mälardalen International Science Program Workshop in Mathematics and Applied Mathematics dedicated to celebration of my 60th birthday, April 26, 2017.
How to randomise a model of continuum physics? International Conference in Nonlinear Problems in Aviation and Aerospace ICNPAA2016, La Rochelle, France, July 6, 2016.
Spectral Expansions of Space-time Vector-valued Random Fields. Emerging Trends in Applied Mathematics and Mechanics ETAMM2016, Perpignyan, France, May 31, 2016.
A Problem of Classical Invariant Theory Arising in Continuum Physics. 1st Västerås–Tartu Swedish–Estonian Workshop on Algebra, Geometry, and Engineering Mathematics, Mälardalen University, June 2, 2015.
Random functions around us. Inaugural Professor's lecture. Mälardalen University, April 24, 2015.
Spectral expansions of cosmological fields. Swedish–Indian Workshop on Applied Mathematics, Mälardalen University, October 21, 2013.
Three incarnations of spin weighted spherical harmonics. Scientific seminar, University Tor Vergata, Rome, Italy, April 22, 2013.
Invariant random fields in vector bundles and application to cosmology. Research seminar, University of Tartu, Estonia, January 28, 2010.
A family of series representations of the multiparameter fractional Brownian motion. Sixth Seminar on Stochastic Analysis, Random Fields and Applications, Ascona, Switzerland, May 21, 2008.
Random fractals for everybody. Inaugural Docent lecture, Mälardalen University, November 29, 2007.
Functional limit theorems for multiparameter fractional Brownian motion. 6th World Congress of the Bernoulli Society for Mathematical Statistics and Probability, Barcelona, Spain, July 28, 2004.
My books
"This book may very well become a classic, as it appears to be the first comprehensive mathematical treatment of tensor-valued random fields with physical applications."
John D. Clayton. Tensor-valued random fields for continuum physics, 1st edition. Contemporary Physics, 61 (2020), no. 1, 56-58.
