Alexander N. Gorban's Page

Alexander N. Gorban'

Chair in Applied Mathematics, University of Leicester, UK
Chief Scientist, Institute of Computational Modeling, Krasnoyarsk, Russia
Curriculum Vitae , list of publications and summary of research

E-mail: ag153(at)le.ac.uk

Leicester Math on Google Scholar

Related pages:
Nonequilibrium
Adaptometry
narod1,
narod2
darwin
PCA

The Artist Anna Gorban

Research interests:

Architecture of neurocomputers and training algorithms for neural networks,
Dynamics of systems of physical, chemical and biological kinetics,
Human adaptation to hard living conditions,
Methods and technologies of collective thinking.

See Selected Publications and Preprints for more publications and their abstracts.

Events: Previous and Forthcoming

Teaching: Data Mining
(The online course is in preparation. See PCA, SOM and GSOM applet, K-means and K-medoids applet and kNN and Potential energy applet prepared by E.M. Mirkes)
Data cartography: Political Atlas of the World, Mining Historical Data

Vox Populi – Vox Dei!

“The voice of the people is the voice of God”

Here are citations from the scientific journals,

which belong to the ISI Web of Knowledge database,

to papers and books by A. N. Gorban.

My Citations in Google Scholar

Web of Science Researcher ID

Some of Books, Recent Talks & Major Papers:

Books

A. Gorban, B. Kegl, D. Wunsch, A. Zinovyev (Eds.), Principal Manifolds for Data Visualisation and Dimension Reduction, Lecture Notes in Computational Science and Engineering, Vol. 58, Springer, Berlin – Heidelberg – New York, 2007. (ISBN 978-3-540-73749-0)
Model Reductionand Coarse--Graining Approaches for Multiscale Phenomena, Ed. by Alexander N. Gorban, Nikolaos Kazantzis, Ioannis G. Kevrekidis, Hans Christian Öttinger, Constantinos Theodoropoulos, Springer, Berlin-Heidelberg-New York, 2006.
A.N. Gorban, B.M. Kaganovich, S.P. Filippov, A.V. Keiko, V.A. Shamansky, I.A. Shirkalin, Thermodynamic Equilibria and Extrema: Analysis of Attainability Regions and Partial Equilibria, Springer, Berlin-Heidelberg-New York, 2006.
A.N. Gorban, I.V. Karlin, Invariant Manifolds for Physical and Chemical Kinetics, Lect. Notes Phys. 660, Springer, Berlin, Heidelberg, 2005. [Review in Bull. London Math. Soc. 38 (2006) (pdf)] [Review in Zentralblatt Math. (2006) (pdf)] [Abstract(txt)] [Preface-Contents-Introduction(pdf)] [Editorial Reviews (htm)][Authors(gif)] Russian web-site with this book
G.S.Yablonskii, V.I.Bykov, A.N. Gorban, and V.I.Elokhin, Kinetic Models of Catalytic Reactions (Comprehensive Chemical Kinetics, V.32, ed. by R.G. Compton), Elsevier, Amsterdam, 1991, 396p. (Reviews on this book: (1) W.H. Weinberg in J. Am. Chem. Soc. 114 (13) (1992), 5484-5485; (2) G. Wedler in Chem.-Ing.-Tech. 64 (1992) (8), 767-768)

Review papers

A.N. Gorban, I. Karlin, Hilbert's 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations, Bulletin of the American Mathematical Society, 51(2), 2014, 186-246
A.N. Gorban, H.P. Sargsyan and H.A. Wahab, Quasichemical Models of Multicomponent Nonlinear Diffusion, Mathematical Modelling of Natural Phenomena, Volume 6 / Issue 05, (2011), 184−262.
A.N. Gorban, A. Zinovyev. Principal manifolds and graphs in practice: from molecular biology to dynamical systems, International Journal of Neural Systems, Vol. 20, No. 3 (2010) 219–232.
A.N. Gorban, A.Y. Zinovyev, Principal Graphs and Manifolds, Chapter 2 in: Handbook of Research on Machine Learning Applications and Trends: Algorithms, Methods, and Techniques, Emilio Soria Olivas et al. (eds), IGI Global, Hershey, PA, USA, 2009, pp. 28-59 (and also arXiv:0809.0490v1 [cs.LG])
A. N. Gorban, Selection Theorem for Systems with Inheritance, Math. Model. Nat. Phenom., Vol. 2, No. 4, 2007, pp. 1-45. The original publication is available at www.edpsciences.org
A.N. Gorban, I.V. Karlin, A.Y. Zinovyev, Constructive methods of invariant manifolds for kinetic problems Phys. Rep., 396, 2004, 197-403 PhysRepCorr.pdf
A. N. Gorban, I.V. Karlin, Method of invariant manifold for chemical kinetics, Chem. Eng. Sci.. 58, 2003, 4751-4768: Elsevier Most Cited Paper Award for this paper DIPLOMA (jpg)
A.N. Gorban, Singularities of transition processes in dynamical systems: Qualitative theory of critical delays, Electron. J. Diff. Eqns., Monograph 05, 2004, (55 pages).

Selected Talks

A.N. Gorban, T.A. Tyukina, Adaptation free energy: The third generation of models of physiological adaptation, Modelling Biological Evolution 2017: Developing Novel Approaches, University of Leicester (UK), April 4th -7th, 2017.
A.N. Gorban, I.V. Karlin, Hydrodynamic manifolds for kinetic equations, CDT in Fluid Dynamics across Scales: Summer School, Imperial College London, July 11, 2016.
E. Fehrman, E.M. Mirkes, A.K. Muhammad, V. Egan, A.N. Gorban, The five factor model of personality and evaluation of drug consumption risk, Conference of the International Federation of Classification Societies, University of Bologna, 8^th July 2015.
E. Mirkes, T. Walsh, E.J. Louis, and A.N. Gorban, Bootstrap test of ordered RIG for multiple testing in genomics of Quantitative Trait Loci in yeasts, Conference of the International Federation of Classification Societies, University of Bologna, 7^th July 2015.
A.N. Gorban, Evolution of adaptation mechanisms: adaptation “energy”, stress, and oscillating death, an invited talk given at International conference Modelling Biological Evolution 2015: Linking Mathematical Theories with Empirical Realities April 28 - May 1, 2015, University of Leicester, UK.
Kinetic signatures of microRNA mechanisms, a poster associated with the paper Kinetic signatures of microRNA modes of action, RNA, Vol. 18, No. 9 (2012) by N. Morozova, A. Zinovyev, N. Nonne, L.-L. Pritchard, A.N. Gorban, and A. Harel-Bellan.
A.N. Gorban, Geometry of data sets, an invited talk given at ESOF2010 (Euroscience Open Forum, Torino, July 2-7, 2010)
A.N. Gorban, Limiters for LBM, an invited plenary talk given at DSFD2010 (19th Discrete Simulation of Fluid Dynamics, 5-9 July 2010, Rome, Italy), Joint work with Robert A. Brownlee and Jeremy Levesley
Alexander Gorban and Ivan Tyukin, A dreaming machine with ghost memory states, A talk given at the Mathematics of the Brain Research LMS Workshop, Ambleside, Lake District, UK, September 1 – 2, 2009
A.N. Gorban, A.Yu. Zinovyev, N.R. Sumner, Elastic Maps, Graphs, and Topological Grammars, Presentation, A talk given at the School of Computer Science and Information Systems, Birkbeck College, University of London March 21, 2006.
A.N. Gorban, Informational disassembling of biological machines Workshop Theoretical Approaches for the Genome 8–10 November 2006 LAPTH, Annecy-le-Vieux, France.