Alexander N. Gorban'
- Architecture of neurocomputers and training algorithms for
- Dynamics of systems of physical, chemical and biological
- Human adaptation to hard living conditions,
- Methods and technologies of collective thinking.
Publications and Preprints for more publications and their
Teaching: Data Mining
(The online course is in preparation. See
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”
are citations from the scientific journals,
belong to the ISI Web of Knowledge database,
papers and books by A. N. Gorban.
Citations in Google Scholar
Science Researcher ID
Some of Books, Recent Talks & Major Papers:
- 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
- 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
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)
- 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)
- 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
- 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
- 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, 8th
- 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, 7th 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
- Alexander Gorban and Ivan
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.
- A.N. Gorban, D.J. Packwood, Enhancement of the stability of lattice
Boltzmann methods by dissipation control, Physica A 414 (2014)
- E.M. Mirkes, I. Alexandrakis, K. Slater, R. Tuli,
A.N. Gorban Computational diagnosis and risk evaluation for canine lymphoma, Computers in Biology and Medicine, 53
A. N. Gorban, Thermodynamic
Tree: The Space of Admissible Paths, SIAM J. Applied
Dynamical Systems, Vol. 12, No. 1 (2013), pp. 246-278. DOI:
- A.N. Gorban, E.M. Mirkes, G.S. Yablonsky, Thermodynamics in the limit of irreversible
reactions, Physica A 392 (2013) 1318–1335.
Morozova, A. Zinovyev, N. Nonne, L.-L. Pritchard, A. N. Gorban, A. Harel-Bellan
signatures of microRNA modes of action RNA, Vol. 18, No. 9 (2012)
A.N. Gorban, P.A. Gorban, G. Judge,
Entropy: The Markov
Ordering Approach. Entropy 12(5):1145-1193 (corrected postprint).
Entropy Best Paper Award” for 2014..
A.N. Gorban, E.V. Smirnova, T.A. Tyukina, Correlations, risk and
crisis: From physiology to finance, Physica A, Vol. 389,
Issue 16, 2010, 3193-3217. Number 9 in the
Top Hottest Articles in the Journal, April to June 2010.
A. N. Gorban, O. Radulescu, A.Y. Zinovyev Asymptotology
of chemical reaction networks, Chemical Engineering Science 65
R.A. Brownlee, A.N. Gorban, and J. Levesley, Nonequilibrium entropy limiters in
lattice Boltzmann methods, Physica A 387, Issues 2-3,
15 January 2008.
A.N. Gorban, A.N. Gorlov, V.M. Silantyev, Limits
of the Turbine Efficiency for Free Fluid Flow, Journal of Energy
Resources Technology - December 2001 - Volume 123, Issue 4, pp. 311-317.
- A.N. Gorban, V.N. Kolokoltsov, Generalized Mass Action
Law and Thermodynamics of Nonlinear Markov Processes, arXiv:1504.08317
- Evgeny M. Mirkes, Thomas
J. Louis, Alexander
N. Gorban, Long and short range multi-locus QTL interactions in a complex trait of
yeast, arXiv:1503.05869 [q-bio.GN]
- Alexander N. Gorban, Alexander
user-friendly tool for nonlinear visualization and analysis of multidimensional
vectorial data, arXiv:1406.5550 [cs.MS]
- A. Zinovyev, A.N.
Gorban, Nonlinear Quality of Life Index, arXiv:1008.4063 [cs.NE]
For other publications see:
Last modified: October 09, 2015