## Jumarie, Guy M.

Compute Distance To:
 Author ID: jumarie.guy-m Published as: Jumarie, Guy; Jumarie, G.; Jumarie, Guy M.; Zhyumari, Zh. more...less
 Documents Indexed: 251 Publications since 1969, including 4 Books 1 Further Contribution Reviewing Activity: 1,418 Reviews
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### Co-Authors

 250 single-authored 1 Apter, H. 1 Atlan, Henri 1 Barthes, J. A. 1 Bertrand, Pierre 1 Boekee, Dick E. 1 Bourgois, M. 1 Caspi, Paul 1 Comyn, Gerard 1 Corfiati, L. 1 De Giacomo, P. 1 Dubuisson, Bernard 1 Dufour, Jacques 1 Evans, F. J. 1 Gilles, Gerard 1 Haken, Hermann 1 Hammad, Pierre 1 Hiroyuki, O. 1 Klir, George J. 1 Lafremiere, L. 1 Le Cardinal, Gilles 1 Le Guyader, Herve 1 Lefons, E. 1 Milgram, Maurice 1 Mili, Ali 1 Pagnotte, Yves 1 Pave, A. 1 Pazienza, Maria Teresa 1 Robach, Chantal 1 Schwarz, Jean-Jacques 1 Tangorra, F. 1 Vallée, Robert 1 Vallet, Claude 1 Vitry, G. 1 Vrison van Eck, W. F. V. 1 Walter, Eric
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### Serials

 27 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 22 International Journal of Systems Science 19 Systems Analysis, Modelling Simulation 14 Chaos, Solitons and Fractals 14 Kybernetes 13 Annales des Télécommunications 12 Cybernetica 10 Cybernetics and Systems 7 Journal of Information & Optimization Sciences 7 Applied Mathematics Letters 7 Journal of Dynamic Systems, Measurement and Control 7 International Journal of Control, I. Series 6 Journal of the Franklin Institute 4 Journal of Mathematical Physics 4 Bulletin of the Calcutta Mathematical Society 4 Mathematical and Computer Modelling 4 Journal of Applied Mathematics and Computing 3 Computers & Mathematics with Applications 3 Journal of Optimization Theory and Applications 3 Insurance Mathematics & Economics 2 Information Sciences 2 Pattern Recognition Letters 2 Mathematical Engineering in Industry 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 International Journal of Control 1 International Journal of General Systems 1 Physica A 1 Physics Letters. A 1 Applied Mathematics and Computation 1 Fuzzy Sets and Systems 1 International Journal of Game Theory 1 Tamkang Journal of Mathematics 1 Utilitas Mathematica 1 Statistics & Probability Letters 1 Ricerche di Automatica 1 Mathematical Modelling 1 COMPEL 1 Revista de Matemáticas Aplicadas 1 International Journal of Electronics 1 Signal Processing 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 The Journal of Fuzzy Mathematics 1 Mathematical Modelling and Scientific Computing 1 Fractals 1 1 Review Bulletin of the Calcutta Mathematical Society 1 International Journal of Mathematics, Game Theory and Algebra 1 Acta Mathematica Sinica. English Series 1 Journal of Biological Systems 1 Physica Scripta 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Mathématiques et Sciences Humaines 1 International Journal of Evolution Equations 1 Revue du CETHEDEC 1 Fundamental Theories of Physics 1 Springer Series in Synergetics 1 Applied Mathematical Sciences (Ruse) 1 Journal of Applied Mathematics & Informatics 1 Fractional Differential Calculus
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### Fields

 99 Systems theory; control (93-XX) 93 Information and communication theory, circuits (94-XX) 68 Probability theory and stochastic processes (60-XX) 23 Computer science (68-XX) 22 Real functions (26-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Partial differential equations (35-XX) 13 Statistics (62-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Biology and other natural sciences (92-XX) 10 Quantum theory (81-XX) 10 Relativity and gravitational theory (83-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral transforms, operational calculus (44-XX) 7 Measure and integration (28-XX) 6 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Mathematical logic and foundations (03-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 4 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX)

### Citations contained in zbMATH Open

109 Publications have been cited 1,363 times in 726 Documents Cited by Year
Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results. Zbl 1137.65001
Jumarie, G.
2006
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Zbl 1171.26305
Jumarie, Guy
2009
On the representation of fractional Brownian motion as an integral with respect to $$(dt)^a$$. Zbl 1082.60029
Jumarie, Guy
2005
Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio. Zbl 1189.91230
Jumarie, Guy
2010
Laplace’s transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative. Zbl 1181.44001
Jumarie, Guy
2009
New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations. Zbl 1130.92043
Jumarie, Guy
2006
On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion. Zbl 1075.60068
Jumarie, Guy
2005
Stochastic differential equations with fractional Brownian motion input. Zbl 0771.60043
Jumarie, Guy
1993
Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations. Zbl 1141.91455
Jumarie, Guy
2008
Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution. Zbl 1145.26302
Jumarie, Guy
2007
Cauchy’s integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order. Zbl 1202.30068
Jumarie, Guy
2010
Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor’s series of nondifferentiable functions. Zbl 1154.70011
Jumarie, Guy
2007
Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations. Zbl 1068.60053
Jumarie, Guy
2004
Fractional master equation: Non-standard analysis and Liouville-Riemann derivative. Zbl 0994.82062
Jumarie, Guy
2001
An approach via fractional analysis to non-linearity induced by coarse-graining in space. Zbl 1195.37054
Jumarie, Guy
2010
A Fokker-Planck equation of fractional order with respect to time. Zbl 0761.60071
Jumarie, Guy
1992
Maximum entropy, information without probability and complex fractals. Classical and quantum approach. Zbl 0982.94001
Jumarie, Guy
2000
Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function. Zbl 1111.49014
Jumarie, Guy
2007
Schrödinger equation for quantum fractal space-time of order $$n$$ via the complex-valued fractional Brownian motion. Zbl 1039.81008
Jumarie, Guy
2001
Probability calculus of fractional order and fractional Taylor’s series application to Fokker-Planck equation and information of non-random functions. Zbl 1197.60039
Jumarie, Guy
2009
Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions. Zbl 1138.60324
Jumarie, Guy
2008
An approach to differential geometry of fractional order via modified Riemann-Liouville derivative. Zbl 1266.26013
Jumarie, Guy
2012
The Minkowski’s space-time is consistent with differential geometry of fractional order. Zbl 1197.83011
Jumarie, Guy
2007
From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series. Zbl 1198.70019
Jumarie, Guy
2009
Further advances on the general thermodynamics of open systems via information theory: Effective entropy, negative information. Zbl 0301.94033
Jumarie, Guy
1975
Merton’s model of optimal portfolio in a Black-Scholes market driven by a fractional Brownian motion with short-range dependence. Zbl 1104.91034
Jumarie, Guy
2005
New results on Fokker-Planck equations of fractional order. Zbl 1046.82515
Jumarie, Guy
2001
Relative information. Theories and applications. With forewords by G. J. Klir and H. Haken. Zbl 0719.94005
Jumarie, Guy
1990
Information theory of deterministic functions. Some new applications to systems analysis. Zbl 0721.93004
Jumarie, G.
1990
Fractionalization of the complex-valued Brownian motion of order $$n$$ using Riemann-Liouville derivative. Applications to mathematical finance and stochastic mechanics. Zbl 1099.60025
Jumarie, Guy
2006
A new approach to complex-valued fractional Brownian motion via rotating white noise. Zbl 0943.60086
Jumarie, Guy
1998
A new approach to fractional Brownian motion of order $$n$$ via random walk in the complex plane. Zbl 0973.60039
Jumarie, Guy
1999
A practical variational approach to stochastic optimal control via state moment equations. Zbl 0855.93097
Jumarie, Guy
1995
Fractional multiple birth-death processes with birth probabilities $$\lambda _i(\Delta t)^\alpha +o((\Delta t)^\alpha)$$. Zbl 1225.60141
Jumarie, Guy
2010
Further results on the modelling of complex fractals in finance, scaling observation and optimal portfolio selection. Zbl 1092.91025
Jumarie, Guy
2002
A nonrandom variational approach to stochastic linear quadratic Gaussian optimization involving fractional noises (FLQG). Zbl 1106.49048
Jumarie, Guy
2005
Fractional Brownian motion with complex variance via random walk in the complex plane and applications. Zbl 0956.60031
Jumarie, Guy
2000
Fractional Euler’s integral of first and second kinds. Application to fractional Hermite’s polynomials and to probability density of fractional order. Zbl 1234.26016
Jumarie, Guy
2010
New results on the entropy of deterministic maps: Applications to Liapunov exponent, divergence, compositional inference, and pattern encoding. Zbl 0667.94004
Jumarie, Guy
1988
Stochastics of order $$n$$ in biological systems. Applications to population dynamics, thermodynamics, nonequilibrium phase and complexity. Zbl 1041.92001
Jumarie, Guy
2003
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function. Zbl 1175.26012
Jumarie, Guy
2008
Subjectivity, information, systems. An introduction to a theory of relativistic cybernetics. Transl. from the French, rev., expanded. Zbl 0623.94001
Jumarie, Guy M.
1986
A general paradigm for subjectivity in communication, subjective transinformation and subjective transuncertainty. Zbl 0478.94016
Jumarie, Guy
1981
On the fractional solution of the equation $$f(x+y)=f(x)f(y)$$ and its application to fractional Laplace’s transform. Zbl 1291.26003
Jumarie, Guy
2012
Oscillation of nonlinear systems close to equilibrium position in the presence of coarse-graining in time and space. Zbl 1196.93030
Jumarie, G.
2009
Path integral for the probability of the trajectories generated by fractional dynamics subject to Gaussian white noise. Zbl 1142.82013
Jumarie, Guy
2007
Derivation of an amplitude of information in the setting of a new family of fractional entropies. Zbl 1268.94017
Jumarie, Guy
2012
Simple general method to analyse the moment stability and sensitivity of nonlinear stochastic sytems with or without delay. Zbl 0641.93066
Jumarie, Guy
1988
A Minkowski theory of observation: Application to uncertainty and fuzziness. Zbl 0633.94007
Jumarie, Guy
1987
A theory of information for vague concepts. Outline of application to approximate reasoning. Zbl 0708.94006
Jumarie, Guy
1990
Solution of the multivariate Fokker-Planck equation by using a maximum path entropy principle. Zbl 0722.60085
Jumarie, Guy
1990
Towards a new approach to self-organizing systems. Zbl 0268.93004
Jumarie, Guy
1973
A new approach to optimum state estimation in optimum system control. Zbl 0281.93016
Jumarie, G.
1975
Tracking control of non-linear stochastic systems by using path cross- entropy and Fokker-Planck equation. Zbl 0761.93068
Jumarie, Guy
1992
Extension of quantum information by using entropy of deterministic functions. Zbl 0752.94006
Jumarie, Guy
1991
The concept of structural entropy and its applications to general systems. Zbl 0409.93004
Jumarie, Guy
1979
Approximate solution for some stochastic differential equations involving both Gaussian and Poissonian white noises. Zbl 1049.60053
Jumarie, G.
2003
Informational entropy of distributed deterministic maps: applications to small samples of fuzzy sets and to pattern recognition. Zbl 0676.94006
Jumarie, Guy
1989
Generalization of the diffusion equation by using the maximum entropy principle. Zbl 0562.60087
Jumarie, Guy
1985
A relativistic information theory model for general systems Lorentz transformation of organizability and structural entropy. Zbl 0311.94015
Jumarie, Guy
1975
Renyi entropy of maps: Applications to fuzzy sets, pattern recognition, and chaotic dynamics. Zbl 0654.94006
Jumarie, Guy
1988
A practical approach to nonlinear estimation by using the maximum entropy principle. Zbl 0612.93062
Jumarie, Guy
1986
Théorie relativiste de l’information et telecommunication. Perspectives. Zbl 0382.94007
Jumarie, Guy
1978
On some similarities and differences between fractional probability density signed measure of probability and quantum probability. Zbl 1171.82320
Jumarie, Guy
2009
On the effects of random time in dynamical systems. Zbl 1157.37327
Jumarie, Guy
2000
Complex-valued Wiener measure: An approach via random walk in the complex plane. Zbl 0956.60028
Jumarie, Guy
1999
A new information-theoretic approach to the entropy of non-random discrete maps relation to fractal dimension and temperature of curves. Zbl 0935.94008
Jumarie, Guy
1997
An approach to encoding in the presence of subjectivity. Zbl 0466.94008
Jumarie, Guy
1980
Stock exchange dynamics involving both Gaussian and Poissonian white noises: Approximate solution via a symbolic stochastic calculus. Zbl 1055.91027
Jumarie, Guy
2002
Analysis of the equilibrium positions of nonlinear dynamical systems in the presence of coarse-graining disturbance in space. Zbl 1184.93067
Jumarie, Guy
2010
Subjective observation via informational invariance results in creation of fractals and self-similar processes of fractional order. Zbl 1225.93010
Jumarie, Guy
2010
Would dynamic systems involving human factors be necessarily of fractal nature? Zbl 1113.37316
Jumarie, Guy
2002
Further results on the information theory of deterministic functions and its application to pattern recognition. Zbl 0686.94004
Jumarie, Guy
1990
Structural entropy, information potential, information balance and evolution in self-organizing systems. Zbl 0288.93003
Jumarie, Guy
1974
Input-output stability criteria for a broad class of stochastic nonlinear distributed systems defined by Green’s function. Zbl 0313.93064
Jumarie, G.
1975
Improvement of stochastic neighbouring-optimal control using nonlinear Gaussian white noise terms in the Taylor expansions. Zbl 0887.93073
Jumarie, Guy
1996
Quantum entropies of nonprobabilistic matrices. Zbl 0754.46051
Jumarie, Guy
1991
An approach to the entropy of (A or B) via maximization of conditional entropy. Zbl 0760.94002
Jumarie, Guy
1992
Information and quantum information of deterministic data with applications to systems analysis. Zbl 0763.94003
Jumarie, G.
1992
Total entropy. A unified approach to discrete entropy and continuous entropy. Zbl 0612.94005
Jumarie, Guy
1986
Mixed theories of information can be derived by using Shannon information only. Zbl 0612.94006
Jumarie, Guy
1986
An approach, via entropy, to the stability of random large-scale sampled- data systems under structural perturbations. Zbl 0483.93086
Jumarie, Guy
1982
On some problems related to linear systems subject to squared white noises. Zbl 0521.60069
Jumarie, Guy
1983
Entropy of fuzzy events revisited. An approach to fuzzy transinformation. Zbl 0524.94035
Jumarie, Guy
1983
A model of positive and negative information in the standard framework of communication theory - application to encoding. Zbl 0543.94004
Jumarie, Guy
1984
A non-stationary two-variable operational calculus and its use in the synthesis of distributed parameter systems. Zbl 0353.93032
Jumarie, Guy
1977
Riemann-Christoffel tensor in differential geometry of fractional order application to fractal space-time. Zbl 1302.35404
Jumarie, Guy
2013
Formal calculus for real-valued fractional Brownian motions prospects in systems science. Zbl 1160.93398
Jumarie, Guy
2006
Composition laws for entropy and temperature in tree-like graphs. Zbl 0791.94008
Jumarie, G.
1993
Entropy of Markovian processes: Application to image entropy in computer vision. Zbl 0994.94016
Jumarie, Guy
1998
Possibility probability and relative information: A unified approach via geometric programming. Zbl 0935.94007
Jumarie, Guy
1995
Image processing. A new approach via informational entropy and informational divergence of non Random functions. Zbl 0866.68119
Jumarie, Guy
1996
New results in relativistic information and general systems. Renyi entropy, observed probability, relativistic fuzzy sets, generative semantics. Zbl 0412.94013
Jumarie, Guy
1979
Théorie relativiste de l’information. II. Information de Shannon, entropie de Renyi, ensembles flous relativistes. Zbl 0425.94005
Jumarie, Guy
1979
Subjectivite, information, système. Synthese pour une cybernetique relativiste. Zbl 0441.94005
Jumarie, Guy
1980
Sub-optimal control with observer of a two-lane highway traffic flow. Zbl 0464.93042
Jumarie, Guy
1981
Théorie relativiste de l’information. IV. Sur l’introduction de facteurs subjectifs dans les processus de communication. Zbl 0468.94002
Jumarie, Guy
1980
Some approaches to the measure of the amount of information involved by a form. Zbl 0628.94008
Jumarie, G.
1986
Observation with informational invariance: Introduction to a new modeling of fuzzy arithmetics. Zbl 0636.94006
Jumarie, Guy
1987
Une condition necessaire d’existence de solution périodique pour certaines équations intégrales non linéaires. Zbl 0176.41603
Jumarie, Guy
1969
Riemann-Christoffel tensor in differential geometry of fractional order application to fractal space-time. Zbl 1302.35404
Jumarie, Guy
2013
An approach to differential geometry of fractional order via modified Riemann-Liouville derivative. Zbl 1266.26013
Jumarie, Guy
2012
On the fractional solution of the equation $$f(x+y)=f(x)f(y)$$ and its application to fractional Laplace’s transform. Zbl 1291.26003
Jumarie, Guy
2012
Derivation of an amplitude of information in the setting of a new family of fractional entropies. Zbl 1268.94017
Jumarie, Guy
2012
Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy. Zbl 1412.60059
Jumarie, Guy
2011
Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio. Zbl 1189.91230
Jumarie, Guy
2010
Cauchy’s integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order. Zbl 1202.30068
Jumarie, Guy
2010
An approach via fractional analysis to non-linearity induced by coarse-graining in space. Zbl 1195.37054
Jumarie, Guy
2010
Fractional multiple birth-death processes with birth probabilities $$\lambda _i(\Delta t)^\alpha +o((\Delta t)^\alpha)$$. Zbl 1225.60141
Jumarie, Guy
2010
Fractional Euler’s integral of first and second kinds. Application to fractional Hermite’s polynomials and to probability density of fractional order. Zbl 1234.26016
Jumarie, Guy
2010
Analysis of the equilibrium positions of nonlinear dynamical systems in the presence of coarse-graining disturbance in space. Zbl 1184.93067
Jumarie, Guy
2010
Subjective observation via informational invariance results in creation of fractals and self-similar processes of fractional order. Zbl 1225.93010
Jumarie, Guy
2010
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Zbl 1171.26305
Jumarie, Guy
2009
Laplace’s transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative. Zbl 1181.44001
Jumarie, Guy
2009
Probability calculus of fractional order and fractional Taylor’s series application to Fokker-Planck equation and information of non-random functions. Zbl 1197.60039
Jumarie, Guy
2009
From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series. Zbl 1198.70019
Jumarie, Guy
2009
Oscillation of nonlinear systems close to equilibrium position in the presence of coarse-graining in time and space. Zbl 1196.93030
Jumarie, G.
2009
On some similarities and differences between fractional probability density signed measure of probability and quantum probability. Zbl 1171.82320
Jumarie, Guy
2009
Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations. Zbl 1141.91455
Jumarie, Guy
2008
Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions. Zbl 1138.60324
Jumarie, Guy
2008
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function. Zbl 1175.26012
Jumarie, Guy
2008
Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution. Zbl 1145.26302
Jumarie, Guy
2007
Lagrangian mechanics of fractional order, Hamilton-Jacobi fractional PDE and Taylor’s series of nondifferentiable functions. Zbl 1154.70011
Jumarie, Guy
2007
Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function. Zbl 1111.49014
Jumarie, Guy
2007
The Minkowski’s space-time is consistent with differential geometry of fractional order. Zbl 1197.83011
Jumarie, Guy
2007
Path integral for the probability of the trajectories generated by fractional dynamics subject to Gaussian white noise. Zbl 1142.82013
Jumarie, Guy
2007
Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results. Zbl 1137.65001
Jumarie, G.
2006
New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations. Zbl 1130.92043
Jumarie, Guy
2006
Fractionalization of the complex-valued Brownian motion of order $$n$$ using Riemann-Liouville derivative. Applications to mathematical finance and stochastic mechanics. Zbl 1099.60025
Jumarie, Guy
2006
Formal calculus for real-valued fractional Brownian motions prospects in systems science. Zbl 1160.93398
Jumarie, Guy
2006
On the representation of fractional Brownian motion as an integral with respect to $$(dt)^a$$. Zbl 1082.60029
Jumarie, Guy
2005
On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion. Zbl 1075.60068
Jumarie, Guy
2005
Merton’s model of optimal portfolio in a Black-Scholes market driven by a fractional Brownian motion with short-range dependence. Zbl 1104.91034
Jumarie, Guy
2005
A nonrandom variational approach to stochastic linear quadratic Gaussian optimization involving fractional noises (FLQG). Zbl 1106.49048
Jumarie, Guy
2005
Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations. Zbl 1068.60053
Jumarie, Guy
2004
Stochastics of order $$n$$ in biological systems. Applications to population dynamics, thermodynamics, nonequilibrium phase and complexity. Zbl 1041.92001
Jumarie, Guy
2003
Approximate solution for some stochastic differential equations involving both Gaussian and Poissonian white noises. Zbl 1049.60053
Jumarie, G.
2003
Further results on the modelling of complex fractals in finance, scaling observation and optimal portfolio selection. Zbl 1092.91025
Jumarie, Guy
2002
Stock exchange dynamics involving both Gaussian and Poissonian white noises: Approximate solution via a symbolic stochastic calculus. Zbl 1055.91027
Jumarie, Guy
2002
Would dynamic systems involving human factors be necessarily of fractal nature? Zbl 1113.37316
Jumarie, Guy
2002
Fractional master equation: Non-standard analysis and Liouville-Riemann derivative. Zbl 0994.82062
Jumarie, Guy
2001
Schrödinger equation for quantum fractal space-time of order $$n$$ via the complex-valued fractional Brownian motion. Zbl 1039.81008
Jumarie, Guy
2001
New results on Fokker-Planck equations of fractional order. Zbl 1046.82515
Jumarie, Guy
2001
Maximum entropy, information without probability and complex fractals. Classical and quantum approach. Zbl 0982.94001
Jumarie, Guy
2000
Fractional Brownian motion with complex variance via random walk in the complex plane and applications. Zbl 0956.60031
Jumarie, Guy
2000
On the effects of random time in dynamical systems. Zbl 1157.37327
Jumarie, Guy
2000
A new approach to fractional Brownian motion of order $$n$$ via random walk in the complex plane. Zbl 0973.60039
Jumarie, Guy
1999
Complex-valued Wiener measure: An approach via random walk in the complex plane. Zbl 0956.60028
Jumarie, Guy
1999
A new approach to complex-valued fractional Brownian motion via rotating white noise. Zbl 0943.60086
Jumarie, Guy
1998
Entropy of Markovian processes: Application to image entropy in computer vision. Zbl 0994.94016
Jumarie, Guy
1998
A new information-theoretic approach to the entropy of non-random discrete maps relation to fractal dimension and temperature of curves. Zbl 0935.94008
Jumarie, Guy
1997
Improvement of stochastic neighbouring-optimal control using nonlinear Gaussian white noise terms in the Taylor expansions. Zbl 0887.93073
Jumarie, Guy
1996
Image processing. A new approach via informational entropy and informational divergence of non Random functions. Zbl 0866.68119
Jumarie, Guy
1996
A practical variational approach to stochastic optimal control via state moment equations. Zbl 0855.93097
Jumarie, Guy
1995
Possibility probability and relative information: A unified approach via geometric programming. Zbl 0935.94007
Jumarie, Guy
1995
Stochastic differential equations with fractional Brownian motion input. Zbl 0771.60043
Jumarie, Guy
1993
Composition laws for entropy and temperature in tree-like graphs. Zbl 0791.94008
Jumarie, G.
1993
A Fokker-Planck equation of fractional order with respect to time. Zbl 0761.60071
Jumarie, Guy
1992
Tracking control of non-linear stochastic systems by using path cross- entropy and Fokker-Planck equation. Zbl 0761.93068
Jumarie, Guy
1992
An approach to the entropy of (A or B) via maximization of conditional entropy. Zbl 0760.94002
Jumarie, Guy
1992
Information and quantum information of deterministic data with applications to systems analysis. Zbl 0763.94003
Jumarie, G.
1992
Extension of quantum information by using entropy of deterministic functions. Zbl 0752.94006
Jumarie, Guy
1991
Quantum entropies of nonprobabilistic matrices. Zbl 0754.46051
Jumarie, Guy
1991
New approach to control and filtering of mechanical systems by using the estimates of their Lagrangians. Zbl 0697.93031
Jumarie, G.
1991
Relative information. Theories and applications. With forewords by G. J. Klir and H. Haken. Zbl 0719.94005
Jumarie, Guy
1990
Information theory of deterministic functions. Some new applications to systems analysis. Zbl 0721.93004
Jumarie, G.
1990
A theory of information for vague concepts. Outline of application to approximate reasoning. Zbl 0708.94006
Jumarie, Guy
1990
Solution of the multivariate Fokker-Planck equation by using a maximum path entropy principle. Zbl 0722.60085
Jumarie, Guy
1990
Further results on the information theory of deterministic functions and its application to pattern recognition. Zbl 0686.94004
Jumarie, Guy
1990
An approach to the thermodynamic entropy and temperature of dynamic systems. Zbl 0709.94009
Jumarie, G.
1990
Informational entropy of distributed deterministic maps: applications to small samples of fuzzy sets and to pattern recognition. Zbl 0676.94006
Jumarie, Guy
1989
Systems, catastrophe, chaos, synergetics. A unified approach via information of deterministic functions. Zbl 0673.94006
Jumarie, G.
1989
New results on the entropy of deterministic maps: Applications to Liapunov exponent, divergence, compositional inference, and pattern encoding. Zbl 0667.94004
Jumarie, Guy
1988
Simple general method to analyse the moment stability and sensitivity of nonlinear stochastic sytems with or without delay. Zbl 0641.93066
Jumarie, Guy
1988
Renyi entropy of maps: Applications to fuzzy sets, pattern recognition, and chaotic dynamics. Zbl 0654.94006
Jumarie, Guy
1988
A Minkowski theory of observation: Application to uncertainty and fuzziness. Zbl 0633.94007
Jumarie, Guy
1987
Observation with informational invariance: Introduction to a new modeling of fuzzy arithmetics. Zbl 0636.94006
Jumarie, Guy
1987
Subjectivity, information, systems. An introduction to a theory of relativistic cybernetics. Transl. from the French, rev., expanded. Zbl 0623.94001
Jumarie, Guy M.
1986
A practical approach to nonlinear estimation by using the maximum entropy principle. Zbl 0612.93062
Jumarie, Guy
1986
Total entropy. A unified approach to discrete entropy and continuous entropy. Zbl 0612.94005
Jumarie, Guy
1986
Mixed theories of information can be derived by using Shannon information only. Zbl 0612.94006
Jumarie, Guy
1986
Some approaches to the measure of the amount of information involved by a form. Zbl 0628.94008
Jumarie, G.
1986
Generalization of the diffusion equation by using the maximum entropy principle. Zbl 0562.60087
Jumarie, Guy
1985
Stochastic processes with internal and external randomness. Modelling and analysis. Zbl 0581.60032
Jumarie, G.
1985
A model of positive and negative information in the standard framework of communication theory - application to encoding. Zbl 0543.94004
Jumarie, Guy
1984
Définition et applications d’une mesure de l’information tenant compte de la signification des symboles. (Definition and applications of an information measure which takes account of symbols and semantics). Zbl 0563.94007
Jumarie, Guy
1984
On some problems related to linear systems subject to squared white noises. Zbl 0521.60069
Jumarie, Guy
1983
Entropy of fuzzy events revisited. An approach to fuzzy transinformation. Zbl 0524.94035
Jumarie, Guy
1983
An approach, via entropy, to the stability of random large-scale sampled- data systems under structural perturbations. Zbl 0483.93086
Jumarie, Guy
1982
A general paradigm for subjectivity in communication, subjective transinformation and subjective transuncertainty. Zbl 0478.94016
Jumarie, Guy
1981
Sub-optimal control with observer of a two-lane highway traffic flow. Zbl 0464.93042
Jumarie, Guy
1981
An approach to encoding in the presence of subjectivity. Zbl 0466.94008
Jumarie, Guy
1980
Subjectivite, information, système. Synthese pour une cybernetique relativiste. Zbl 0441.94005
Jumarie, Guy
1980
Théorie relativiste de l’information. IV. Sur l’introduction de facteurs subjectifs dans les processus de communication. Zbl 0468.94002
Jumarie, Guy
1980
The concept of structural entropy and its applications to general systems. Zbl 0409.93004
Jumarie, Guy
1979
New results in relativistic information and general systems. Renyi entropy, observed probability, relativistic fuzzy sets, generative semantics. Zbl 0412.94013
Jumarie, Guy
1979
Théorie relativiste de l’information. II. Information de Shannon, entropie de Renyi, ensembles flous relativistes. Zbl 0425.94005
Jumarie, Guy
1979
Théorie relativiste de l’information et telecommunication. Perspectives. Zbl 0382.94007
Jumarie, Guy
1978
A non-stationary two-variable operational calculus and its use in the synthesis of distributed parameter systems. Zbl 0353.93032
Jumarie, Guy
1977
Further advances on the general thermodynamics of open systems via information theory: Effective entropy, negative information. Zbl 0301.94033
Jumarie, Guy
1975
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