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## Boyarsky, Abraham

Compute Distance To:
 Author ID: boyarsky.abraham Published as: Boyarski, A.; Boyarski, Abraham; Boyarsky, A.; Boyarsky, Abraham
 Documents Indexed: 145 Publications since 1972, including 1 Book
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#### Co-Authors

 33 single-authored 76 Góra, Paweł 9 Li, Zhenyang 9 Scarowsky, Manny 8 Proppe, Harald 7 Byers, William 6 Bahsoun, Wael 5 Friedman, Nathan 5 Islam, Mohammad Shafiqul 5 Lou, You-Shi 4 Bracken, Paul Francis 3 Eslami, Peyman 3 Lioubimov, Vadim 2 Anderson, William J. 2 Haddad, Gabriel 2 Jabłoński, Marian 2 Lou, Yuesheng 2 Proppe, Harold 2 Scarowsky, Manuel 1 Babu, Gutti Jogesh 1 Chaubey, Yogendra P. 1 Cooper, Sarah 1 Ebrahimi, Mehran 1 Gauthier, Pierre Q. 1 Haussmann, Ulrich G. 1 Keefe, Christopher 1 Levesque, Réjean 1 Meddaugh, Jonathan 1 Raines, Brian E. 1 Senez, John Albert 1 Vannelli, Antonio 1 Vidyasagar, Mathukumalli
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#### Serials

 17 Journal of Mathematical Analysis and Applications 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Journal of Statistical Physics 6 Computers & Mathematics with Applications 6 Proceedings of the American Mathematical Society 6 Physica D 5 Canadian Mathematical Bulletin 5 Transactions of the American Mathematical Society 5 Journal of Applied Mathematics and Stochastic Analysis 4 Chaos, Solitons and Fractals 3 International Journal of Systems Science 3 Physics Letters. A 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Differential Equations 3 Journal of Optimization Theory and Applications 3 Ergodic Theory and Dynamical Systems 3 Discrete Dynamics in Nature and Society 3 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Canadian Journal of Mathematics 2 Advances in Applied Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 Stochastic Analysis and Applications 2 Dynamics and Stability of Systems 2 Linear Algebra and its Applications 2 Discrete and Continuous Dynamical Systems 2 Chaos 2 Dynamical Systems 2 Stochastics and Dynamics 2 SIAM Journal on Applied Dynamical Systems 1 American Mathematical Monthly 1 Applicable Analysis 1 The Canadian Journal of Statistics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Mathematics of Computation 1 Advances in Mathematics 1 Journal of Approximation Theory 1 Metron 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Mathematical Modelling 1 Constructive Approximation 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Mathematical and Computer Modelling 1 Aequationes Mathematicae 1 Computers and Mathematics with Applications. Part A 1 The Canadian Applied Mathematics Quarterly 1 Nonlinear World 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Pure and Applied Mathematics 1 International Journal of Control, I. Series 1 Probability and its Applications
all top 5

#### Fields

 78 Dynamical systems and ergodic theory (37-XX) 47 Measure and integration (28-XX) 26 Probability theory and stochastic processes (60-XX) 16 Biology and other natural sciences (92-XX) 15 Real functions (26-XX) 12 Systems theory; control (93-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

92 Publications have been cited 499 times in 323 Documents Cited by Year
Laws of chaos. Invariant measures and dynamical systems in one dimension. Zbl 0893.28013
Boyarsky, Abraham; Góra, Paweł
1997
Absolutely continuous invariant measures for piecewise expanding $$C^ 2$$ transformations in $$\mathbb R^N$$. Zbl 0691.28004
Góra, P.; Boyarsky, A.
1989
Why computers like Lebesgue measure. Zbl 0668.28008
Góra, P.; Boyarsky, A.
1988
Absolutely continuous invariant measures for random maps with position dependent probabilities. Zbl 1017.37001
Góra, Paweł; Boyarsky, Abraham
2003
On a class of transformations which have unique absolutely continuous invariant measures. Zbl 0418.28010
Boyarsky, Abraham; Scarowsky, Manny
1979
Randomness implies order. Zbl 0442.60004
Boyarsky, Abraham
1980
A matrix solution to the inverse Perron-Frobenius problem. Zbl 0776.28009
Góra, P.; Boyarsky, A.
1993
Compactness of invariant densities for families of expanding, piecewise monotonic transformations. Zbl 0689.28007
Góra, P.; Boyarsky, A.
1989
Approximating measures invariant under higher-dimensional chaotic transformations. Zbl 0737.41022
Boyarsky, A.; Lou, Y. S.
1991
Computing the topological entropy of general one-dimensional maps. Zbl 0724.28009
Góra, P.; Boyarsky, A.
1991
Randomly chosen chaotic maps can give rise to nearly ordered behavior. Zbl 1097.37044
Boyarsky, Abraham; Góra, Paweł; Shafıqul Islam, Md.
2005
Approximating the invariant densities of transformations with infinitely many pieces on the interval. Zbl 0678.28008
Góra, P.; Boyarsky, A.
1989
On functions of bounded variation in higher dimensions. Zbl 0757.26014
Gora, Pawel; Boyarsky, Abraham
1992
Construction of ergodic transformations. Zbl 0498.28014
Friedman, Nathan; Boyarsky, Abraham
1982
Matrices and eigenfunctions induced by Markov maps. Zbl 0469.15008
Friedman, Nathan; Boyarsky, Abraham
1981
Irreducibility and primitivity using Markov maps. Zbl 0465.15009
Friedman, Nathan; Boyarsky, Abraham
1981
Family of piecewise expanding maps having singular measure as a limit of ACIMs. Zbl 1280.37035
Li, Zhenyang; Góra, Paweł; Boyarsky, Abraham; Proppe, Harald; Eslami, Peyman
2013
Snap-back repellers and scrambled sets in general topological spaces. Zbl 0987.37012
Boyarski, Abraham; Góra, Paweł; Lioubimov, Vadim
2001
Inadequacy of the bounded variation technique in the ergodic theory of higher-dimensional transformations. Zbl 0714.28010
Proppe, H.; Góra, P.; Boyarsky, A.
1990
Constructive approximations to densities invariant under nonexpanding transformations. Zbl 1086.37500
Góra, P.; Boyarsky, A.; Proppe, H.
1988
Absolutely continuous invariant measures that cannot be observed experimentally. Zbl 1090.37041
Góra, Pawel; Boyarsky, Abraham; Islam, Mohammad Shafiqul; Bahsoun, Wael
2006
Markov switching for position dependent random maps with application to forecasting. Zbl 1090.37040
Bahsoun, Wael; Góra, Pawel; Boyarsky, Abraham
2005
On the existence of ergodic continuous invariant measures for folding transformations. Zbl 0940.37002
Boyarsky, Abraham; Góra, Paweł; Lioubimov, Vadim
2000
An algorithm to control chaotic behavior in one-dimensional maps. Zbl 0847.58054
Góra, P.; Boyarsky, A.
1996
Existence of absolutely continuous invariant measures for higher- dimensional random maps. Zbl 0784.93068
Boyarsky, A.; Lou, Y. S.
1992
Computer orbits. Zbl 0637.58011
Boyarsky, A.
1986
Long periodic orbits of the triangle map. Zbl 0614.28011
Scarowsky, Manny; Boyarsky, Abraham
1986
A stochastic model for wound healing. Zbl 0613.92005
Boyarsky, Abraham
1986
All invariant densities of piecewise linear Markov maps are piecewise constant. Zbl 0468.28018
1981
Folding maps and functional equations. Zbl 1136.37332
Boyarsky, Abraham; Góra, Paweł; Bahsoun, Wael
2006
Attainable densities for random maps. Zbl 1094.37030
Góra, Paweł; Boyarsky, Abraham
2006
Invariant measures for Chebyshev maps. Zbl 1006.37003
Boyarsky, Abraham; Gora, Paweł
2001
A model for the structure of spacetime. Zbl 1080.81509
Boyarsky, A.; Góra, P.
1996
Iterated function systems and dynamical systems. Zbl 1055.37504
Góra, Paweł; Boyarsky, Abraham
1995
Constructive approximations to the invariant densities of higher- dimensional transformations. Zbl 0796.28012
Boyarsky, A.; Gora, P.; Lou, Y. S.
1994
Measures on periodic orbits for continuous transformations on the interval. Zbl 0744.60006
Góra, P.; Byers, W.; Boyarsky, A.
1991
Maximal absolutely continuous invariant measures for piecewise linear Markov transformations. Zbl 0694.28009
Byers, W.; Góra, P.; Boyarsky, A.
1990
A graph-theoretic bound on the number of independent absolutely continuous invariant measures. Zbl 0675.28007
Boyarsky, A.; Byers, W.
1989
Absolutely continuous invariant measures that are maximal. Zbl 0576.28027
Byers, W.; Boyarsky, A.
1985
On the significance of absolutely continuous invariant measures. Zbl 0578.60042
Boyarsky, Abraham
1984
On the stability properties of perturbed linear nonstationary systems. Zbl 0533.34040
Vidyasagar, M.; Boyarsky, A.; Vannelli, A.
1982
A result related to a theorem by Pianigiani. Zbl 0485.28014
1981
Limit sets of dynamical systems on the space of probability measures. Zbl 0248.54050
Boyarsky, Abraham
1973
Absolutely continuous invariant measures for non-autonomous dynamical systems. Zbl 1416.37022
Góra, Paweł; Boyarsky, Abraham; Keefe, Christopher
2019
Selections and their absolutely continuous invariant measures. Zbl 1317.28026
Boyarsky, Abraham; Góra, Paweł; Li, Zhenyang
2014
On the significance of the tent map. Zbl 1056.37044
Góra, Paweł; Boyarsky, Abraham
2003
Stochastic perturbations of position dependent random maps. Zbl 1056.37072
Bahsoun, Wael; Góra, Paweł; Boyarsky, Abraham
2003
A minimum principle for chaotic dynamical systems. Zbl 1008.37018
Bracken, Paul; Góra, Paweł; Boyarsky, Abraham
2002
Deriving chaotic dynamical systems from energy functionals. Zbl 1064.37007
Bracken, Paul; Góra, Paweł; Boyarsky, Abraham
2001
Energy and information of chaotic dynamical systems. Zbl 1020.37012
Boyarsky, Abraham; Góra, Paweł
2001
Modelling and simulating higher dimensional chaotic data. Zbl 0760.58028
Góra, P.; Boyarsky, A.
1992
On the number of invariant measures for higher-dimensional chaotic transformations. Zbl 0746.58048
Góra, P.; Boyarsky, A.; Proppe, H.
1991
Higher-dimensional point transformations and asymptotic measures for cellular automata. Zbl 0728.68089
Góra, P.; Boyarsky, A.
1990
A matrix method for estimating the Lyapunov exponent of one-dimensional systems. Zbl 1084.37517
Boyarsky, Abraham
1988
Uniqueness of invariant densities for certain random maps of the interval. Zbl 0595.60056
Boyarsky, Abraham
1987
A note on the diophantine equation $$x^ n+y^ n+z^ n=3$$. Zbl 0531.10018
Scarowsky, Manny; Boyarsky, Abraham
1984
A bound on the number of invariant measures. Zbl 0453.28012
Boyarsky, Abraham
1981
On $$n$$-dimensional piecewise-linear difference equations. Zbl 0455.39002
Scarowsky, Manuel; Boyarsky, Abraham
1980
A theorem on the denseness of orbits in metric spaces. Zbl 0446.28021
Boyarsky, Abraham; Scarowsky, Manny
1980
Finite-dimensional attainable sets for stochastic control systems. Zbl 0336.93045
Boyarsky, A.
1977
A Markov chain model for human granulocyte movement. Zbl 0304.92003
Boyarsky, A.
1975
Singular SRB measures for a non 1-1 map of the unit square. Zbl 1375.37070
Góra, Paweł; Boyarsky, Abraham; Li, Zhenyang
2016
Toward a mathematical holographic principle. Zbl 1347.37004
Góra, Paweł; Li, Zhenyang; Boyarsky, Abraham; Proppe, Harald
2014
Metastable systems as random maps. Zbl 1258.37008
Góra, Paweł; Boyarsky, Abraham; Eslami, Peyman
2012
Harmonic averages and new explicit constants for invariant densities of piecewise expanding maps of the interval. Zbl 1268.37041
Góra, Paweł; Li, Zhenyang; Boyarsky, Abraham; Proppe, Harald
2012
Invariant densities of random maps have lower bounds on their supports. Zbl 1119.37037
Góra, Paweł; Boyarsky, Abraham; Islam, Md. Shafiqul
2006
A generalization of Straube’s theorem: existence of absolutely continuous invariant measures for random maps. Zbl 1134.37301
Islam, Md. Shafiqul; Góra, Pawel; Boyarsky, Abraham
2005
Approximation of absolutely continuous invariant measures for Markov switching position dependent random maps. Zbl 1134.37348
Islam, Md. Shafiqul; Góra, Pawel; Boyarsky, Abraham
2005
A new statistical method for filtering and entropy estimation of a chaotic map from noisy data. Zbl 1090.37557
Babu, G. Jogesh; Boyarsky, Abraham; Chaubey, Yogendra P.; Góra, Pawel
2004
A description of stochastic systems using chaotic maps. Zbl 1071.37006
Boyarski, Abraham; Góra, Pawełl
2004
Calculus of variations for functionals containing compositions. Zbl 1057.37056
Bracken, Paul; Góra, Paweł; Boyarsky, Abraham
2004
A model for calculating the quantum potential for time-varying multi-slit systems. Zbl 1044.81003
Bracken, P.; Boyarsky, A.
2003
A dynamic system interpretation of irreducible complexity. Zbl 1230.37107
Boyarsky, Abraham; Góra, Pawel
2002
A new approach to controlling chaotic systems. Zbl 0930.37011
Góra, Paweł; Boyarsky, Abraham
1998
A lattice spacetime for the slit experiments of quantum mechanics. Zbl 0969.81504
Góra, Paweł; Boyarsky, Abraham
1997
A compactness theorem for approximating the invariant densities of higher dimensional transformations. Zbl 0777.28009
Boyarsky, A.; Lou, Y. S.
1993
A matrix method for approximating fractal measures. Zbl 0877.28007
Boyarsky, A.; Lou, Y. S.
1992
The pseudo-orbit shadowing property for Markov operators in the space of probability density functions. Zbl 0734.54025
Boyarsky, Abraham; Góra, Pawel
1990
Absolutely continuous invariant measures for the family of maps $$x\to rxe^{-bx}$$ with application to the Belousov-Zhabotinski reaction. Zbl 0699.34049
Góra, P.; Boyarsky, A.
1990
Ergodic properties of computer orbits for simple piecewise monotonic transformations. Zbl 0652.65033
Friedman, N.; Boyarsky, A.; Scarowsky, M.
1988
Spectral decomposition for combinations of Markov operators. Zbl 0646.60085
Boyarsky, Abraham; Levesque, Réjean
1988
A bound on the number of periodic orbits of certain piecewise linear maps. Zbl 0646.26006
Scarowsky, Manny; Boyarsky, Abraham
1988
Higher dimensional analogues of the tent maps. Zbl 0649.58026
Boyarsky, A.; Byers, W.; Gauthier, P.
1987
Singular perturbations of piecewise monotonic maps of the interval. Zbl 1084.37521
Boyarsky, Abraham
1987
Continuity of invariant measures for families of maps. Zbl 0567.28008
Boyarsky, Abraham
1985
Entropy versus speed in ergodic Markov maps. Zbl 0556.28023
Friedman, Nathan; Boyarsky, Abraham
1984
Fullness of maps. Zbl 0495.28016
Boyarsky, Abraham; Byers, William
1982
Weak continuity of invariant measures for a class of piecewise monotonic transformations. Zbl 0443.28011
Boyarsky, Abraham; Cooper, Sarah
1980
Attainable sets for linear stochastic control systems. Zbl 0379.93051
Boyarsky, Abraham
1978
On the existence of optimal controls for nonlinear systems. Zbl 0313.49005
Boyarsky, A.
1976
On the optimal growth of cells. Zbl 0318.92006
Boyarsky, Abraham
1975
Existence of unique quasi-diffusions. Zbl 0235.60077
Boyarsky, Abraham
1972
Absolutely continuous invariant measures for non-autonomous dynamical systems. Zbl 1416.37022
Góra, Paweł; Boyarsky, Abraham; Keefe, Christopher
2019
Singular SRB measures for a non 1-1 map of the unit square. Zbl 1375.37070
Góra, Paweł; Boyarsky, Abraham; Li, Zhenyang
2016
Selections and their absolutely continuous invariant measures. Zbl 1317.28026
Boyarsky, Abraham; Góra, Paweł; Li, Zhenyang
2014
Toward a mathematical holographic principle. Zbl 1347.37004
Góra, Paweł; Li, Zhenyang; Boyarsky, Abraham; Proppe, Harald
2014
Family of piecewise expanding maps having singular measure as a limit of ACIMs. Zbl 1280.37035
Li, Zhenyang; Góra, Paweł; Boyarsky, Abraham; Proppe, Harald; Eslami, Peyman
2013
Metastable systems as random maps. Zbl 1258.37008
Góra, Paweł; Boyarsky, Abraham; Eslami, Peyman
2012
Harmonic averages and new explicit constants for invariant densities of piecewise expanding maps of the interval. Zbl 1268.37041
Góra, Paweł; Li, Zhenyang; Boyarsky, Abraham; Proppe, Harald
2012
Absolutely continuous invariant measures that cannot be observed experimentally. Zbl 1090.37041
Góra, Pawel; Boyarsky, Abraham; Islam, Mohammad Shafiqul; Bahsoun, Wael
2006
Folding maps and functional equations. Zbl 1136.37332
Boyarsky, Abraham; Góra, Paweł; Bahsoun, Wael
2006
Attainable densities for random maps. Zbl 1094.37030
Góra, Paweł; Boyarsky, Abraham
2006
Invariant densities of random maps have lower bounds on their supports. Zbl 1119.37037
Góra, Paweł; Boyarsky, Abraham; Islam, Md. Shafiqul
2006
Randomly chosen chaotic maps can give rise to nearly ordered behavior. Zbl 1097.37044
Boyarsky, Abraham; Góra, Paweł; Shafıqul Islam, Md.
2005
Markov switching for position dependent random maps with application to forecasting. Zbl 1090.37040
Bahsoun, Wael; Góra, Pawel; Boyarsky, Abraham
2005
A generalization of Straube’s theorem: existence of absolutely continuous invariant measures for random maps. Zbl 1134.37301
Islam, Md. Shafiqul; Góra, Pawel; Boyarsky, Abraham
2005
Approximation of absolutely continuous invariant measures for Markov switching position dependent random maps. Zbl 1134.37348
Islam, Md. Shafiqul; Góra, Pawel; Boyarsky, Abraham
2005
A new statistical method for filtering and entropy estimation of a chaotic map from noisy data. Zbl 1090.37557
Babu, G. Jogesh; Boyarsky, Abraham; Chaubey, Yogendra P.; Góra, Pawel
2004
A description of stochastic systems using chaotic maps. Zbl 1071.37006
Boyarski, Abraham; Góra, Pawełl
2004
Calculus of variations for functionals containing compositions. Zbl 1057.37056
Bracken, Paul; Góra, Paweł; Boyarsky, Abraham
2004
Absolutely continuous invariant measures for random maps with position dependent probabilities. Zbl 1017.37001
Góra, Paweł; Boyarsky, Abraham
2003
On the significance of the tent map. Zbl 1056.37044
Góra, Paweł; Boyarsky, Abraham
2003
Stochastic perturbations of position dependent random maps. Zbl 1056.37072
Bahsoun, Wael; Góra, Paweł; Boyarsky, Abraham
2003
A model for calculating the quantum potential for time-varying multi-slit systems. Zbl 1044.81003
Bracken, P.; Boyarsky, A.
2003
A minimum principle for chaotic dynamical systems. Zbl 1008.37018
Bracken, Paul; Góra, Paweł; Boyarsky, Abraham
2002
A dynamic system interpretation of irreducible complexity. Zbl 1230.37107
Boyarsky, Abraham; Góra, Pawel
2002
Snap-back repellers and scrambled sets in general topological spaces. Zbl 0987.37012
Boyarski, Abraham; Góra, Paweł; Lioubimov, Vadim
2001
Invariant measures for Chebyshev maps. Zbl 1006.37003
Boyarsky, Abraham; Gora, Paweł
2001
Deriving chaotic dynamical systems from energy functionals. Zbl 1064.37007
Bracken, Paul; Góra, Paweł; Boyarsky, Abraham
2001
Energy and information of chaotic dynamical systems. Zbl 1020.37012
Boyarsky, Abraham; Góra, Paweł
2001
On the existence of ergodic continuous invariant measures for folding transformations. Zbl 0940.37002
Boyarsky, Abraham; Góra, Paweł; Lioubimov, Vadim
2000
A new approach to controlling chaotic systems. Zbl 0930.37011
Góra, Paweł; Boyarsky, Abraham
1998
Laws of chaos. Invariant measures and dynamical systems in one dimension. Zbl 0893.28013
Boyarsky, Abraham; Góra, Paweł
1997
A lattice spacetime for the slit experiments of quantum mechanics. Zbl 0969.81504
Góra, Paweł; Boyarsky, Abraham
1997
An algorithm to control chaotic behavior in one-dimensional maps. Zbl 0847.58054
Góra, P.; Boyarsky, A.
1996
A model for the structure of spacetime. Zbl 1080.81509
Boyarsky, A.; Góra, P.
1996
Iterated function systems and dynamical systems. Zbl 1055.37504
Góra, Paweł; Boyarsky, Abraham
1995
Constructive approximations to the invariant densities of higher- dimensional transformations. Zbl 0796.28012
Boyarsky, A.; Gora, P.; Lou, Y. S.
1994
A matrix solution to the inverse Perron-Frobenius problem. Zbl 0776.28009
Góra, P.; Boyarsky, A.
1993
A compactness theorem for approximating the invariant densities of higher dimensional transformations. Zbl 0777.28009
Boyarsky, A.; Lou, Y. S.
1993
On functions of bounded variation in higher dimensions. Zbl 0757.26014
Gora, Pawel; Boyarsky, Abraham
1992
Existence of absolutely continuous invariant measures for higher- dimensional random maps. Zbl 0784.93068
Boyarsky, A.; Lou, Y. S.
1992
Modelling and simulating higher dimensional chaotic data. Zbl 0760.58028
Góra, P.; Boyarsky, A.
1992
A matrix method for approximating fractal measures. Zbl 0877.28007
Boyarsky, A.; Lou, Y. S.
1992
Approximating measures invariant under higher-dimensional chaotic transformations. Zbl 0737.41022
Boyarsky, A.; Lou, Y. S.
1991
Computing the topological entropy of general one-dimensional maps. Zbl 0724.28009
Góra, P.; Boyarsky, A.
1991
Measures on periodic orbits for continuous transformations on the interval. Zbl 0744.60006
Góra, P.; Byers, W.; Boyarsky, A.
1991
On the number of invariant measures for higher-dimensional chaotic transformations. Zbl 0746.58048
Góra, P.; Boyarsky, A.; Proppe, H.
1991
Inadequacy of the bounded variation technique in the ergodic theory of higher-dimensional transformations. Zbl 0714.28010
Proppe, H.; Góra, P.; Boyarsky, A.
1990
Maximal absolutely continuous invariant measures for piecewise linear Markov transformations. Zbl 0694.28009
Byers, W.; Góra, P.; Boyarsky, A.
1990
Higher-dimensional point transformations and asymptotic measures for cellular automata. Zbl 0728.68089
Góra, P.; Boyarsky, A.
1990
The pseudo-orbit shadowing property for Markov operators in the space of probability density functions. Zbl 0734.54025
Boyarsky, Abraham; Góra, Pawel
1990
Absolutely continuous invariant measures for the family of maps $$x\to rxe^{-bx}$$ with application to the Belousov-Zhabotinski reaction. Zbl 0699.34049
Góra, P.; Boyarsky, A.
1990
Absolutely continuous invariant measures for piecewise expanding $$C^ 2$$ transformations in $$\mathbb R^N$$. Zbl 0691.28004
Góra, P.; Boyarsky, A.
1989
Compactness of invariant densities for families of expanding, piecewise monotonic transformations. Zbl 0689.28007
Góra, P.; Boyarsky, A.
1989
Approximating the invariant densities of transformations with infinitely many pieces on the interval. Zbl 0678.28008
Góra, P.; Boyarsky, A.
1989
A graph-theoretic bound on the number of independent absolutely continuous invariant measures. Zbl 0675.28007
Boyarsky, A.; Byers, W.
1989
Why computers like Lebesgue measure. Zbl 0668.28008
Góra, P.; Boyarsky, A.
1988
Constructive approximations to densities invariant under nonexpanding transformations. Zbl 1086.37500
Góra, P.; Boyarsky, A.; Proppe, H.
1988
A matrix method for estimating the Lyapunov exponent of one-dimensional systems. Zbl 1084.37517
Boyarsky, Abraham
1988
Ergodic properties of computer orbits for simple piecewise monotonic transformations. Zbl 0652.65033
Friedman, N.; Boyarsky, A.; Scarowsky, M.
1988
Spectral decomposition for combinations of Markov operators. Zbl 0646.60085
Boyarsky, Abraham; Levesque, Réjean
1988
A bound on the number of periodic orbits of certain piecewise linear maps. Zbl 0646.26006
Scarowsky, Manny; Boyarsky, Abraham
1988
Uniqueness of invariant densities for certain random maps of the interval. Zbl 0595.60056
Boyarsky, Abraham
1987
Higher dimensional analogues of the tent maps. Zbl 0649.58026
Boyarsky, A.; Byers, W.; Gauthier, P.
1987
Singular perturbations of piecewise monotonic maps of the interval. Zbl 1084.37521
Boyarsky, Abraham
1987
Computer orbits. Zbl 0637.58011
Boyarsky, A.
1986
Long periodic orbits of the triangle map. Zbl 0614.28011
Scarowsky, Manny; Boyarsky, Abraham
1986
A stochastic model for wound healing. Zbl 0613.92005
Boyarsky, Abraham
1986
Absolutely continuous invariant measures that are maximal. Zbl 0576.28027
Byers, W.; Boyarsky, A.
1985
Continuity of invariant measures for families of maps. Zbl 0567.28008
Boyarsky, Abraham
1985
On the significance of absolutely continuous invariant measures. Zbl 0578.60042
Boyarsky, Abraham
1984
A note on the diophantine equation $$x^ n+y^ n+z^ n=3$$. Zbl 0531.10018
Scarowsky, Manny; Boyarsky, Abraham
1984
Entropy versus speed in ergodic Markov maps. Zbl 0556.28023
Friedman, Nathan; Boyarsky, Abraham
1984
Construction of ergodic transformations. Zbl 0498.28014
Friedman, Nathan; Boyarsky, Abraham
1982
On the stability properties of perturbed linear nonstationary systems. Zbl 0533.34040
Vidyasagar, M.; Boyarsky, A.; Vannelli, A.
1982
Fullness of maps. Zbl 0495.28016
Boyarsky, Abraham; Byers, William
1982
Matrices and eigenfunctions induced by Markov maps. Zbl 0469.15008
Friedman, Nathan; Boyarsky, Abraham
1981
Irreducibility and primitivity using Markov maps. Zbl 0465.15009
Friedman, Nathan; Boyarsky, Abraham
1981
All invariant densities of piecewise linear Markov maps are piecewise constant. Zbl 0468.28018
1981
A result related to a theorem by Pianigiani. Zbl 0485.28014
1981
A bound on the number of invariant measures. Zbl 0453.28012
Boyarsky, Abraham
1981
Randomness implies order. Zbl 0442.60004
Boyarsky, Abraham
1980
On $$n$$-dimensional piecewise-linear difference equations. Zbl 0455.39002
Scarowsky, Manuel; Boyarsky, Abraham
1980
A theorem on the denseness of orbits in metric spaces. Zbl 0446.28021
Boyarsky, Abraham; Scarowsky, Manny
1980
Weak continuity of invariant measures for a class of piecewise monotonic transformations. Zbl 0443.28011
Boyarsky, Abraham; Cooper, Sarah
1980
On a class of transformations which have unique absolutely continuous invariant measures. Zbl 0418.28010
Boyarsky, Abraham; Scarowsky, Manny
1979
Attainable sets for linear stochastic control systems. Zbl 0379.93051
Boyarsky, Abraham
1978
Finite-dimensional attainable sets for stochastic control systems. Zbl 0336.93045
Boyarsky, A.
1977
On the existence of optimal controls for nonlinear systems. Zbl 0313.49005
Boyarsky, A.
1976
A Markov chain model for human granulocyte movement. Zbl 0304.92003
Boyarsky, A.
1975
On the optimal growth of cells. Zbl 0318.92006
Boyarsky, Abraham
1975
Limit sets of dynamical systems on the space of probability measures. Zbl 0248.54050
Boyarsky, Abraham
1973
Existence of unique quasi-diffusions. Zbl 0235.60077
Boyarsky, Abraham
1972
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#### Cited by 378 Authors

 65 Boyarsky, Abraham 48 Góra, Paweł 16 Ding, Jiu 11 Li, Zhenyang 10 Bollt, Erik M. 9 Zhou, Aihui 8 Bahsoun, Wael 8 Islam, Mohammad Shafiqul 7 Kloeden, Peter Eris 7 Proppe, Harald 6 Diamond, Phil 6 Froyland, Gary 6 Vaienti, Sandro 5 Amigó, José María 5 Byers, William 5 Eslami, Peyman 5 Pokrovskiĭ, Alexeĭ Vadimovich 4 Alves, José Ferreira 4 Buzzi, Jérôme 4 Cánovas, Jose S. 4 Coca, Daniel 4 Freitas, Jorge Milhazes 4 Friedman, Nathan 4 Jin, Congming 4 Keller, Gerhard 4 Nie, Xiaokai 4 Rhee, Noah H. 3 Bandtlow, Oscar F. 3 Birkin, Mark 3 Bracken, Paul Francis 3 Bugiel, Piotr 3 Chen, Guanrong 3 Dajani, Karma 3 Freitas, Ana Cristina Moreira 3 Giménez, Angel 3 Haydn, Nicolai T. A. 3 Lascu, Dan 3 Li, Tien-Yien 3 Luo, Jingjing 3 Sherratt, Jonathan A. 3 Życzkowski, Karol 2 Adl-Zarabi, Kourosh 2 Aihara, Kazuyuki 2 Aimino, Romain 2 Araújo, Vítor 2 Baladi, Viviane 2 Billings, Lora 2 Blank, M. L. 2 Bohn, Hannah 2 Buzea, Călin Gheorghe 2 Dale, Paul D. 2 Del Magno, Gianluigi 2 Du, Qiang 2 Duarte, Pedro 2 Fernandes, Sara 2 Gaivão, José Pedro 2 Galatolo, Stefano 2 González-Tokman, Cecilia 2 Guihéneuf, Pierre-Antoine 2 Heffernan, Daniel M. 2 Huang, Weihong 2 Ishitani, Hiroshi 2 Jabłoński, Marian 2 Kalle, Charlene 2 Kesseböhmer, Marc 2 Kozyakin, Viktor Sergeevich 2 Künzle, Martin W. 2 Kuznetsov, Nikolai Aleksandrovich 2 Lardjane, Salim 2 Lasota, Andrzej 2 Liverani, Carlangelo 2 Lopes Dias, João 2 Lou, You-Shi 2 Lozi, René 2 Luzzatto, Stefano 2 Mackey, Michael Charles 2 Maini, Philip Kumar 2 Maume-Deschamps, Véronique 2 Miller, Walter M. 2 Munoz Guillermo, Maria 2 Nicol, Matthew 2 Pumariño, Antonio 2 Sebe, Gabriela Ileana 2 Sélley, Fanni M. 2 Shorten, Robert N. 2 Skufca, Joseph D. 2 Solano, Javier 2 Sousa Ramos, José 2 Stépán, Gábor 2 Taniguchi, Takeshi 2 Tanzi, Matteo 2 Uhl, Peter M. 2 Yang, Fan 2 Yokoo, Masanori 2 Yorke, James Alan 1 Abraham, Christophe 1 Agop, Maricel 1 Ahadpour, Sodeif 1 Ahn, Youngho 1 Akhavan, Amir ...and 278 more Authors
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#### Cited in 98 Serials

 27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 23 Journal of Mathematical Analysis and Applications 21 Chaos, Solitons and Fractals 21 Ergodic Theory and Dynamical Systems 21 Physica D 14 Journal of Statistical Physics 9 Chaos 8 Nonlinear Analysis. Theory, Methods & Applications 7 Computers & Mathematics with Applications 7 Transactions of the American Mathematical Society 6 Proceedings of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems 6 Stochastics and Dynamics 4 Nonlinearity 4 Physics Letters. A 4 Advances in Mathematics 4 Applied Mathematics and Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Stochastic Analysis and Applications 4 Linear Algebra and its Applications 4 Journal of Difference Equations and Applications 4 Dynamical Systems 4 Journal of Computational Dynamics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Dynamics and Stability of Systems 3 Journal of Nonlinear Science 3 Nonlinear Dynamics 2 Applicable Analysis 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Mathematics of Computation 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Tokyo Journal of Mathematics 2 Advances in Applied Mathematics 2 SIAM Journal on Algebraic and Discrete Methods 2 Probability Theory and Related Fields 2 Stochastic Processes and their Applications 2 Journal of Dynamics and Differential Equations 2 Indagationes Mathematicae. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Missouri Journal of Mathematical Sciences 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 International Journal of Systems Science 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Physica A 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Computing 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Kybernetika 1 Manuscripta Mathematica 1 Results in Mathematics 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Applied Numerical Mathematics 1 Constructive Approximation 1 Discrete & Computational Geometry 1 Journal of Economic Dynamics & Control 1 Applied Mathematics Letters 1 Neural Networks 1 Journal of Applied Mathematics and Stochastic Analysis 1 Computational Statistics 1 Aequationes Mathematicae 1 Automation and Remote Control 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Monte Carlo Methods and Applications 1 Journal of Nonparametric Statistics 1 Journal of Dynamical and Control Systems 1 Nonlinear Analysis. Real World Applications 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Statistical Methodology 1 Journal of Theoretical Biology 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applied Mathematics and Nonlinear Sciences
all top 5

#### Cited in 35 Fields

 235 Dynamical systems and ergodic theory (37-XX) 54 Probability theory and stochastic processes (60-XX) 45 Measure and integration (28-XX) 22 Systems theory; control (93-XX) 21 Numerical analysis (65-XX) 16 Biology and other natural sciences (92-XX) 14 Number theory (11-XX) 14 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 12 Real functions (26-XX) 9 Difference and functional equations (39-XX) 8 General topology (54-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 6 Statistics (62-XX) 6 Computer science (68-XX) 5 Partial differential equations (35-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Geophysics (86-XX)