# zbMATH — the first resource for mathematics

## Scheutzow, Michael K. R.

Compute Distance To:
 Author ID: scheutzow.michael Published as: Scheutzow, Michael; Scheutzow, M.; Scheutzow, Michael K. R. Homepage: http://page.math.tu-berlin.de/~scheutzow/ External Links: MGP
 Documents Indexed: 109 Publications since 1982, including 2 Books Reviewing Activity: 125 Reviews
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#### Co-Authors

 26 single-authored 8 Mohammed, Salah-Eldin A. 5 Dondl, Patrick Werner 4 Chueshov, Igor’ Dmitrievich 4 Cranston, Michael Craig 4 Dereich, Steffen 3 Aurzada, Frank 3 Blath, Jochen 3 Butkovsky, Oleg A. 3 Dimitrov, Georgi K. 3 Es-Sarhir, Abdelhadi 3 Gess, Benjamin 3 Jamilov, Uygun U. 3 Lemmens, Bas 3 Steinsaltz, David R. 3 von Renesse, Max-Konstantin 3 Wilke-Berenguer, Maite 2 Beck, Sergej 2 Crauel, Hans 2 Dirr, Nicolas Peter 2 Flandoli, Franco 2 Lisei, Hannelore 2 Matoussi, Anis 2 Mehri, Sima 2 Nussbaum, Roger David 2 Riedel, Sebastian 2 van Gaans, Onno Ward 2 von Weizsäcker, Heinrich 2 Vorkastner, Isabell 2 Wang, Yuebao 2 Xu, Hui 1 Arnold, Ludwig 1 Bailleul, Ismaël F. 1 Buckwar, Evelyn 1 Burdzy, Krzysztof 1 Chen, Xiaopeng 1 Cui, Zhaolei 1 Deuschel, Jean-Dominique 1 Döring, Hanna 1 Drewitz, Alexander 1 Duan, Jinqiao 1 Fehringer, F. 1 Gentz, Barbara 1 Grimmett, Geoffrey R. 1 Hairer, Martin 1 Herrmann, Samuel 1 Holroyd, Alexander E. 1 Homburg, Ale Jan 1 Imkeller, Peter 1 Kager, Gerald 1 König, Wolfgang Dieter 1 Kruse, Raphael 1 Leimbach, Matti 1 Li, Xue-Mei 1 Maier, Martin 1 Mattingly, Jonathan Christopher 1 Mörters, Peter 1 Ortgiese, Marcel 1 Pikovsky, Arkady S. 1 Pinsky, Ross George 1 Reisslein, Martin 1 Schmalfuß, Björn 1 Schmock, Uwe 1 Schottstedt, Reik 1 Schulze, Susanne 1 Seeling, Patrick 1 Sparrow, Colin T. 1 Stannat, Wilhelm 1 Throm, Sebastian 1 Tölle, Jonas M. 1 Van Bargen, Holger M. 1 Verduyn Lunel, Sjoerd M. 1 Vormoor, Christian 1 Wasserroth, Simon 1 Zangeneh, Bian Z.
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#### Serials

 10 The Annals of Probability 6 Probability Theory and Related Fields 5 Electronic Journal of Probability 5 Discrete and Continuous Dynamical Systems. Series B 4 The Annals of Applied Probability 4 Stochastic Processes and their Applications 4 Electronic Communications in Probability 4 Stochastics and Dynamics 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 European Journal of Combinatorics 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Dynamics and Differential Equations 2 Journal of Functional Analysis 2 Ergodic Theory and Dynamical Systems 2 Stochastic Analysis and Applications 2 Journal of Theoretical Probability 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Selecta Mathematica. New Series 2 Dynamical Systems 1 Communications in Mathematical Physics 1 IEEE Transactions on Information Theory 1 Nonlinearity 1 Stochastics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 The Mathematical Scientist 1 SIAM Journal on Control and Optimization 1 Probability and Mathematical Statistics 1 Journal of Complexity 1 Queueing Systems 1 Differential and Integral Equations 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastics and Stochastics Reports 1 Random & Computational Dynamics 1 Random Operators and Stochastic Equations 1 Journal of Difference Equations and Applications 1 Bernoulli 1 Documenta Mathematica 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Interfaces and Free Boundaries 1 Probability in the Engineering and Informational Sciences 1 London Mathematical Society Lecture Note Series 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Networks and Heterogeneous Media 1 Springer Proceedings in Mathematics
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#### Fields

 95 Probability theory and stochastic processes (60-XX) 40 Dynamical systems and ergodic theory (37-XX) 27 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 9 Operator theory (47-XX) 7 Systems theory; control (93-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

89 Publications have been cited 910 times in 634 Documents Cited by Year
Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082
Hairer, M.; Mattingly, J. C.; Scheutzow, M.
2011
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
2004
The stable manifold theorem for stochastic differential equations. Zbl 0940.60084
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1999
Perfect cocycles through stochastic differential equations. Zbl 0821.60061
Arnold, Ludwig; Scheutzow, Michael
1995
Stabilization and destabilization by noise in the plane. Zbl 0766.60072
Scheutzow, M.
1993
On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces. Zbl 1017.60012
Dereich, S.; Fehringer, F.; Matoussi, A.; Scheutzow, M.
2003
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
2010
Constructive quantization: approximation by empirical measures. Zbl 1283.60063
Dereich, Steffen; Scheutzow, Michael; Schottstedt, Reik
2013
Comparison of various concepts of a random attractor: a case study. Zbl 1100.37032
Scheutzow, Michael
2002
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
2001
Qualitative behaviour of stochastic delay equations with a bounded memory. Zbl 0539.60061
Scheutzow, M.
1984
Stochastic PDEs driven by nonlinear noise and backward doubly SDEs. Zbl 0999.60063
Matoussi, Anis; Scheutzow, Michael
2002
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Periodic behavior of the stochastic Brusselator in the mean-field limit. Zbl 0577.60060
Scheutzow, Michael
1986
Criteria for strong and weak random attractors. Zbl 1181.37075
Crauel, Hans; Dimitroff, Georgi; Scheutzow, Michael
2009
The stable manifold theorem for non-linear stochastic systems with memory. I: Existence of the semiflow. Zbl 1039.60060
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
2003
Harnack inequality for functional SDEs with bounded memory. Zbl 1195.34124
Es-Sarhir, Abdelhadi; Von Renesse, Max-K.; Scheutzow, Michael
2009
Some remarks and examples concerning the transience and recurrence of random diffusions. Zbl 0766.60098
Pinsky, Ross; Scheutzow, Michael
1992
Uniqueness and non-uniqueness of solutions of Vlasov-McKean equations. Zbl 0625.60062
Scheutzow, Michael
1987
Random dynamical systems, rough paths and rough flows. Zbl 1382.37050
Bailleul, I.; Riedel, S.; Scheutzow, M.
2017
Lyapunov exponents of linear stochastic functional differential equations. II: Examples and case studies. Zbl 0885.60043
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1997
Linear expansion of isotropic Brownian flows. Zbl 0938.60048
Cranston, Michael; Scheutzow, Michael; Steinsaltz, David
1999
Noise can create periodic behavior and stabilize nonlinear diffusions. Zbl 0582.60060
Scheutzow, Michael
1985
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
2013
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
2010
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Invariant measures for stochastic functional differential equations with superlinear drift term. Zbl 1240.34396
Es-Sarhir, Abdelhadi; Scheutzow, Michael; van Gaans, Onno
2010
High-resolution quantization and entropy coding for fractional Brownian motion. Zbl 1110.60030
Dereich, S.; Scheutzow, M.
2006
On the random dynamics of Volterra quadratic operators. Zbl 1408.37090
Jamilov, U. U.; Scheutzow, M.; Wilke-Berenguer, M.
2017
On the dynamics of sup-norm non-expansive maps. Zbl 1114.47044
Lemmens, Bas; Scheutzow, Michael
2005
Lyapunov exponents and stationary solutions for affine stochastic delay equations. Zbl 0704.60062
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1990
Attractors and expansion for Brownian flows. Zbl 1221.37109
Dimitroff, Georgi; Scheutzow, Michael
2011
Invariant measures for stochastic functional differential equations. Zbl 1382.34084
Butkovsky, Oleg; Scheutzow, Michael
2017
Lack of strong completeness for stochastic flows. Zbl 1235.60066
Li, Xue-Mei; Scheutzow, Michael
2011
Linear bounds for stochastic dispersion. Zbl 1044.60055
Cranston, Mike; Scheutzow, Michael; Steinsaltz, David
2000
Lyapunov exponents of linear stochastic functional differential equations driven by semimartingales. I: The multiplicative ergodic theory. Zbl 0862.60044
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1996
Some examples of nonlinear diffusion processes having a time-periodic law. Zbl 0563.60066
Scheutzow, Michael
1985
The stable manifold theorem for non-linear stochastic systems with memory. II: The local stable manifold theorem. Zbl 1053.60061
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
2004
Pinning of interfaces in random media. Zbl 1231.35323
Dirr, Nicolas; Dondl, Patrick W.; Scheutzow, Michael
2011
Spatial estimates for stochastic flows in Euclidean space. Zbl 0937.60056
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1998
On the spatial asymptotic behavior of stochastic flows in Euclidean space. Zbl 0942.60053
Imkeller, Peter; Scheutzow, Michael
1999
Generalized couplings and convergence of transition probabilities. Zbl 1392.60061
Kulik, Alexei; Scheutzow, Michael
2018
Periods of nonexpansive operators on finite $$\ell _ 1$$-spaces. Zbl 0639.47046
Scheutzow, Michael
1988
On the perfection of crude cocyles. Zbl 0881.60062
Scheutzow, Michael
1996
Exponential growth rates for stochastic delay differential equations. Zbl 1079.60058
Scheutzow, Michael
2005
Chasing balls through martingale fields. Zbl 1017.60073
Scheutzow, Michael; Steinsaltz, David
2002
Minimal random attractors. Zbl 1386.37050
Crauel, Hans; Scheutzow, Michael
2018
On the structure of a class of distributions obeying the principle of a single big jump. Zbl 1342.60016
Xu, Hui; Scheutzow, Michael; Wang, Yuebao; Cui, Zhaolei
2016
Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory. Zbl 0923.47031
Nussbaum, Roger D.; Scheutzow, Michael; Verduyn Lunel, Sjoerd M.
1998
An integral inequality and its application to a problem of stabilization by noise. Zbl 0836.26015
Scheutzow, Michael
1995
On a transformation between distributions obeying the principle of a single big jump. Zbl 1351.60016
Xu, Hui; Scheutzow, Michael; Wang, Yuebao
2015
A new class of large claim size distributions: definition, properties, and ruin theory. Zbl 1362.60007
Beck, Sergej; Blath, Jochen; Scheutzow, Michael
2015
Strong completeness and semi-flows for stochastic differential equations with monotone drift. Zbl 1373.60103
Scheutzow, Michael; Schulze, Susanne
2017
Rough differential equations with unbounded drift term. Zbl 1357.34096
Riedel, S.; Scheutzow, M.
2017
Random delta-Hausdorff-attractors. Zbl 1405.37056
Scheutzow, Michael; Wilke-Berenguer, Maite
2018
Hyperbolic state space decomposition for a linear stochastic delay equation. Zbl 0588.60051
Mohammed, S.; Scheutzow, M.; von Weizsäcker, Heinrich
1986
Generation of one-sided random dynamical systems by stochastic differential equations. Zbl 0888.60044
Kager, Gerald; Scheutzow, Michael
1997
$$(G,\mu)$$-quadratic stochastic operators. Zbl 1303.37036
Blath, J.; Jamilov, U. U.; Scheutzow, M.
2014
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
Linear bounds and Gaussian tails in a stochastic dispersion model. Zbl 1039.60059
Lisei, Hannelore; Scheutzow, Michael
2001
Dispersion of volume under the action of isotropic Brownian flows. Zbl 1169.60311
Dimitroff, G.; Scheutzow, M.
2009
Chaining techniques and their application to stochastic flows. Zbl 1180.37077
Scheutzow, Michael
2009
Generalized couplings and ergodic rates for SPDEs and other Markov models. Zbl 1434.60147
Butkovsky, Oleg; Kulik, Alexei; Scheutzow, Michael
2020
Propagation of chaos for stochastic spatially structured neuronal networks with delay driven by jump diffusions. Zbl 1434.60299
Mehri, Sima; Scheutzow, Michael; Stannat, Wilhelm; Zangeneh, Bian Z.
2020
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
2013
Weak synchronization for isotropic flows. Zbl 1368.37059
Cranston, Michael; Gess, Benjamin; Scheutzow, Michael
2016
High resolution quantization and entropy coding of jump processes. Zbl 1177.94120
Aurzada, Frank; Dereich, Steffen; Scheutzow, Michael; Vormoor, Christian
2009
A law of large numbers for upcrossing measures. Zbl 0813.60032
Scheutzow, Michael
1994
A coupling approach to Doob’s theorem. Zbl 1310.60104
Scheutzow, Michael
2015
Rate of convergence of some self-attracting diffusions. Zbl 1075.60101
Herrmann, Samuel; Scheutzow, Michael
2004
Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation. Zbl 1326.35387
Dondl, Patrick W.; Scheutzow, Michael; Throm, Sebastian
2015
Evolution systems of measures for stochastic flows. Zbl 1248.37047
Chen, Xiaopeng; Duan, Jinqiao; Scheutzow, Michael
2011
Admissible arrays and a nonlinear generalization of Perron-Frobenius theory. Zbl 0936.47033
Nussbaum, Roger D.; Scheutzow, Michael
1999
A characterization of the periods of periodic points of 1-norm nonexpansive maps. Zbl 1071.47051
Lemmens, Bas; Scheutzow, Michael
2003
Attractors for ergodic and monotone random dynamical systems. Zbl 1142.37037
Scheutzow, Michael
2008
Blow-up of a stable stochastic differential equation. Zbl 1405.60077
Leimbach, Matti; Scheutzow, Michael
2017
Ballistic and sub-ballistic motion of interfaces in a field of random obstacles. Zbl 06822215
Dondl, Patrick W.; Scheutzow, Michael
2017
Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients. Zbl 1262.35129
Dondl, Patrick W.; Scheutzow, Michael
2012
Minimal forward random point attractors need not exist. Zbl 1420.60090
Scheutzow, Michael
2019
Asymptotics for a class of iterated random cubic operators. Zbl 07101971
Homburg, A. J.; Jamilov, U. U.; Scheutzow, M.
2019
Invariant measures for monotone SPDEs with multiplicative noise term. Zbl 1303.60052
Es-Sarhir, Abdelhadi; Scheutzow, Michael; Tölle, Jonas M.; van Gaans, Onno
2013
Noise-induced transitions for one-dimensional diffusions. Zbl 0874.60049
Scheutzow, M.
1996
Erratum: Periods of non-expansive operators on finite $$\ell_ 1$$-spaces. Zbl 0722.47043
Scheutzow, Michael
1991
Moments of recurrence times for Markov chains. Zbl 1231.60063
Aurzada, Frank; Döring, Hanna; Ortgiese, Marcel; Scheutzow, Michael
2011
Dispersion rates under finite mode Kolmogorov flows. Zbl 1021.60032
Cranston, Mike; Scheutzow, Michael
2002
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
2007
Exponential growth rate for a singular linear stochastic delay differential equation. Zbl 1281.34127
Scheutzow, Michael
2013
Synchronization, Lyapunov exponents and stable manifolds for random dynamical systems. Zbl 1403.37064
Scheutzow, Michael; Vorkastner, Isabell
2018
Well-posedness, stability and sensitivities for stochastic delay equations: a generalized coupling approach. Zbl 07276947
Kulik, Alexei; Scheutzow, Michael
2020
Generalized couplings and ergodic rates for SPDEs and other Markov models. Zbl 1434.60147
Butkovsky, Oleg; Kulik, Alexei; Scheutzow, Michael
2020
Propagation of chaos for stochastic spatially structured neuronal networks with delay driven by jump diffusions. Zbl 1434.60299
Mehri, Sima; Scheutzow, Michael; Stannat, Wilhelm; Zangeneh, Bian Z.
2020
Well-posedness, stability and sensitivities for stochastic delay equations: a generalized coupling approach. Zbl 07276947
Kulik, Alexei; Scheutzow, Michael
2020
Minimal forward random point attractors need not exist. Zbl 1420.60090
Scheutzow, Michael
2019
Asymptotics for a class of iterated random cubic operators. Zbl 07101971
Homburg, A. J.; Jamilov, U. U.; Scheutzow, M.
2019
Generalized couplings and convergence of transition probabilities. Zbl 1392.60061
Kulik, Alexei; Scheutzow, Michael
2018
Minimal random attractors. Zbl 1386.37050
Crauel, Hans; Scheutzow, Michael
2018
Random delta-Hausdorff-attractors. Zbl 1405.37056
Scheutzow, Michael; Wilke-Berenguer, Maite
2018
Synchronization, Lyapunov exponents and stable manifolds for random dynamical systems. Zbl 1403.37064
Scheutzow, Michael; Vorkastner, Isabell
2018
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
Random dynamical systems, rough paths and rough flows. Zbl 1382.37050
Bailleul, I.; Riedel, S.; Scheutzow, M.
2017
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
On the random dynamics of Volterra quadratic operators. Zbl 1408.37090
Jamilov, U. U.; Scheutzow, M.; Wilke-Berenguer, M.
2017
Invariant measures for stochastic functional differential equations. Zbl 1382.34084
Butkovsky, Oleg; Scheutzow, Michael
2017
Strong completeness and semi-flows for stochastic differential equations with monotone drift. Zbl 1373.60103
Scheutzow, Michael; Schulze, Susanne
2017
Rough differential equations with unbounded drift term. Zbl 1357.34096
Riedel, S.; Scheutzow, M.
2017
Blow-up of a stable stochastic differential equation. Zbl 1405.60077
Leimbach, Matti; Scheutzow, Michael
2017
Ballistic and sub-ballistic motion of interfaces in a field of random obstacles. Zbl 06822215
Dondl, Patrick W.; Scheutzow, Michael
2017
On the structure of a class of distributions obeying the principle of a single big jump. Zbl 1342.60016
Xu, Hui; Scheutzow, Michael; Wang, Yuebao; Cui, Zhaolei
2016
Weak synchronization for isotropic flows. Zbl 1368.37059
Cranston, Michael; Gess, Benjamin; Scheutzow, Michael
2016
On a transformation between distributions obeying the principle of a single big jump. Zbl 1351.60016
Xu, Hui; Scheutzow, Michael; Wang, Yuebao
2015
A new class of large claim size distributions: definition, properties, and ruin theory. Zbl 1362.60007
Beck, Sergej; Blath, Jochen; Scheutzow, Michael
2015
A coupling approach to Doob’s theorem. Zbl 1310.60104
Scheutzow, Michael
2015
Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation. Zbl 1326.35387
Dondl, Patrick W.; Scheutzow, Michael; Throm, Sebastian
2015
$$(G,\mu)$$-quadratic stochastic operators. Zbl 1303.37036
Blath, J.; Jamilov, U. U.; Scheutzow, M.
2014
Constructive quantization: approximation by empirical measures. Zbl 1283.60063
Dereich, Steffen; Scheutzow, Michael; Schottstedt, Reik
2013
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
2013
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
2013
Invariant measures for monotone SPDEs with multiplicative noise term. Zbl 1303.60052
Es-Sarhir, Abdelhadi; Scheutzow, Michael; Tölle, Jonas M.; van Gaans, Onno
2013
Exponential growth rate for a singular linear stochastic delay differential equation. Zbl 1281.34127
Scheutzow, Michael
2013
Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients. Zbl 1262.35129
Dondl, Patrick W.; Scheutzow, Michael
2012
Asymptotic coupling and a general form of Harris’ theorem with applications to stochastic delay equations. Zbl 1238.60082
Hairer, M.; Mattingly, J. C.; Scheutzow, M.
2011
Attractors and expansion for Brownian flows. Zbl 1221.37109
Dimitroff, Georgi; Scheutzow, Michael
2011
Lack of strong completeness for stochastic flows. Zbl 1235.60066
Li, Xue-Mei; Scheutzow, Michael
2011
Pinning of interfaces in random media. Zbl 1231.35323
Dirr, Nicolas; Dondl, Patrick W.; Scheutzow, Michael
2011
Evolution systems of measures for stochastic flows. Zbl 1248.37047
Chen, Xiaopeng; Duan, Jinqiao; Scheutzow, Michael
2011
Moments of recurrence times for Markov chains. Zbl 1231.60063
Aurzada, Frank; Döring, Hanna; Ortgiese, Marcel; Scheutzow, Michael
2011
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
2010
Invariant measures for stochastic functional differential equations with superlinear drift term. Zbl 1240.34396
Es-Sarhir, Abdelhadi; Scheutzow, Michael; van Gaans, Onno
2010
Criteria for strong and weak random attractors. Zbl 1181.37075
Crauel, Hans; Dimitroff, Georgi; Scheutzow, Michael
2009
Harnack inequality for functional SDEs with bounded memory. Zbl 1195.34124
Es-Sarhir, Abdelhadi; Von Renesse, Max-K.; Scheutzow, Michael
2009
Dispersion of volume under the action of isotropic Brownian flows. Zbl 1169.60311
Dimitroff, G.; Scheutzow, M.
2009
Chaining techniques and their application to stochastic flows. Zbl 1180.37077
Scheutzow, Michael
2009
High resolution quantization and entropy coding of jump processes. Zbl 1177.94120
Aurzada, Frank; Dereich, Steffen; Scheutzow, Michael; Vormoor, Christian
2009
Attractors for ergodic and monotone random dynamical systems. Zbl 1142.37037
Scheutzow, Michael
2008
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
2007
High-resolution quantization and entropy coding for fractional Brownian motion. Zbl 1110.60030
Dereich, S.; Scheutzow, M.
2006
On the dynamics of sup-norm non-expansive maps. Zbl 1114.47044
Lemmens, Bas; Scheutzow, Michael
2005
Exponential growth rates for stochastic delay differential equations. Zbl 1079.60058
Scheutzow, Michael
2005
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
2004
The stable manifold theorem for non-linear stochastic systems with memory. II: The local stable manifold theorem. Zbl 1053.60061
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
2004
Rate of convergence of some self-attracting diffusions. Zbl 1075.60101
Herrmann, Samuel; Scheutzow, Michael
2004
On the link between small ball probabilities and the quantization problem for Gaussian measures on Banach spaces. Zbl 1017.60012
Dereich, S.; Fehringer, F.; Matoussi, A.; Scheutzow, M.
2003
The stable manifold theorem for non-linear stochastic systems with memory. I: Existence of the semiflow. Zbl 1039.60060
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
2003
A characterization of the periods of periodic points of 1-norm nonexpansive maps. Zbl 1071.47051
Lemmens, Bas; Scheutzow, Michael
2003
Comparison of various concepts of a random attractor: a case study. Zbl 1100.37032
Scheutzow, Michael
2002
Stochastic PDEs driven by nonlinear noise and backward doubly SDEs. Zbl 0999.60063
Matoussi, Anis; Scheutzow, Michael
2002
Chasing balls through martingale fields. Zbl 1017.60073
Scheutzow, Michael; Steinsaltz, David
2002
Dispersion rates under finite mode Kolmogorov flows. Zbl 1021.60032
Cranston, Mike; Scheutzow, Michael
2002
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
2001
Linear bounds and Gaussian tails in a stochastic dispersion model. Zbl 1039.60059
Lisei, Hannelore; Scheutzow, Michael
2001
Linear bounds for stochastic dispersion. Zbl 1044.60055
Cranston, Mike; Scheutzow, Michael; Steinsaltz, David
2000
The stable manifold theorem for stochastic differential equations. Zbl 0940.60084
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1999
Linear expansion of isotropic Brownian flows. Zbl 0938.60048
Cranston, Michael; Scheutzow, Michael; Steinsaltz, David
1999
On the spatial asymptotic behavior of stochastic flows in Euclidean space. Zbl 0942.60053
Imkeller, Peter; Scheutzow, Michael
1999
Admissible arrays and a nonlinear generalization of Perron-Frobenius theory. Zbl 0936.47033
Nussbaum, Roger D.; Scheutzow, Michael
1999
Spatial estimates for stochastic flows in Euclidean space. Zbl 0937.60056
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1998
Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory. Zbl 0923.47031
Nussbaum, Roger D.; Scheutzow, Michael; Verduyn Lunel, Sjoerd M.
1998
Lyapunov exponents of linear stochastic functional differential equations. II: Examples and case studies. Zbl 0885.60043
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1997
Generation of one-sided random dynamical systems by stochastic differential equations. Zbl 0888.60044
Kager, Gerald; Scheutzow, Michael
1997
Lyapunov exponents of linear stochastic functional differential equations driven by semimartingales. I: The multiplicative ergodic theory. Zbl 0862.60044
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1996
On the perfection of crude cocyles. Zbl 0881.60062
Scheutzow, Michael
1996
Noise-induced transitions for one-dimensional diffusions. Zbl 0874.60049
Scheutzow, M.
1996
Perfect cocycles through stochastic differential equations. Zbl 0821.60061
Arnold, Ludwig; Scheutzow, Michael
1995
An integral inequality and its application to a problem of stabilization by noise. Zbl 0836.26015
Scheutzow, Michael
1995
A law of large numbers for upcrossing measures. Zbl 0813.60032
Scheutzow, Michael
1994
Stabilization and destabilization by noise in the plane. Zbl 0766.60072
Scheutzow, M.
1993
Some remarks and examples concerning the transience and recurrence of random diffusions. Zbl 0766.60098
Pinsky, Ross; Scheutzow, Michael
1992
Erratum: Periods of non-expansive operators on finite $$\ell_ 1$$-spaces. Zbl 0722.47043
Scheutzow, Michael
1991
Lyapunov exponents and stationary solutions for affine stochastic delay equations. Zbl 0704.60062
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1990
Periods of nonexpansive operators on finite $$\ell _ 1$$-spaces. Zbl 0639.47046
Scheutzow, Michael
1988
Uniqueness and non-uniqueness of solutions of Vlasov-McKean equations. Zbl 0625.60062
Scheutzow, Michael
1987
Periodic behavior of the stochastic Brusselator in the mean-field limit. Zbl 0577.60060
Scheutzow, Michael
1986
Hyperbolic state space decomposition for a linear stochastic delay equation. Zbl 0588.60051
Mohammed, S.; Scheutzow, M.; von Weizsäcker, Heinrich
1986
Noise can create periodic behavior and stabilize nonlinear diffusions. Zbl 0582.60060
Scheutzow, Michael
1985
Some examples of nonlinear diffusion processes having a time-periodic law. Zbl 0563.60066
Scheutzow, Michael
1985
Qualitative behaviour of stochastic delay equations with a bounded memory. Zbl 0539.60061
Scheutzow, M.
1984
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#### Cited by 718 Authors

 46 Scheutzow, Michael K. R. 30 Wang, Bixiang 20 Lu, Kening 19 Schmalfuß, Björn 15 Yuan, Chenggui 14 Duan, Jinqiao 13 Mohammed, Salah-Eldin A. 12 Bao, Jianhai 12 Mao, Xuerong 11 Gess, Benjamin 11 Wang, Feng-Yu 10 Garrido-Atienza, María José 10 Jamilov, Uygun U. 10 Shao, Jinghai 9 Matoussi, Anis 8 Crauel, Hans 8 Dereich, Steffen 7 Appleby, John A. D. 7 Gu, Anhui 7 Imkeller, Peter 7 Luschgy, Harald 7 Pagès, Gilles 7 Röckner, Michael 7 Yang, Meihua 6 Chueshov, Igor’ Dmitrievich 6 Dai Pra, Paolo 6 Dondl, Patrick Werner 6 Eberle, Andreas 6 Lemmens, Bas 6 Yin, George Gang 6 Zhang, Xicheng 5 Caraballo Garrido, Tomás 5 Liu, Wei 5 Neamţu, Alexandra 5 Nguyen Dinh Cong 5 Shen, Jun 5 Tong, Xin Thomson 5 Wang, Yuebao 5 Xu, Hui 5 Zhang, Tusheng S. 5 Zhao, Huaizhong 4 Bailleul, Ismaël F. 4 Bates, Peter W. 4 Cavazos-Cadena, Rolando 4 Cranston, Michael Craig 4 Duc, Luu Hoang 4 Engel, Maximilian 4 Formentin, Marco 4 Glatt-Holtz, Nathan E. 4 Guillin, Arnaud 4 Hairer, Martin 4 Holroyd, Alexander E. 4 Huang, Xing 4 Jiang, Jifa 4 Kloeden, Peter Eris 4 Kühn, Christian 4 Ladra González, Manuel 4 Lisei, Hannelore 4 Liu, Xianming 4 Majda, Andrew J. 4 Müller-Gronbach, Thomas 4 Nussbaum, Roger David 4 Riedel, Sebastian 4 Ritter, Klaus 4 Van Bargen, Holger M. 4 van Gaans, Onno Ward 4 Wang, Zhen 4 Zimmer, Raphael 3 Aman, Auguste 3 Aurzada, Frank 3 Bachouch, Achref 3 Berger, Arno 3 Biskamp, Moritz 3 Bonilla, Luis Lopez 3 Butkovsky, Oleg A. 3 Chen, Xiaopeng 3 de Cooman, Gert 3 Dedecker, Jérôme 3 Deng, Feiqi 3 Dimitrov, Georgi K. 3 Flandoli, Franco 3 Gao, Hongjun 3 Gaubert, Stéphane 3 Grimmett, Geoffrey R. 3 Guzik, Grzegorz 3 Hermans, Filip 3 Hong, Wei 3 Hutzenthaler, Martin 3 Jentzen, Arnulf 3 Küchler, Uwe 3 Lamb, Jeroen S. W. 3 Langa, Jose’ Antonio 3 Le, Anh Minh 3 Lejay, Antoine 3 Li, Dingshi 3 Li, Shihu 3 Li, Xiaoyue 3 Li, Xiong 3 Li, Yangrong 3 Mehri, Sima ...and 618 more Authors
all top 5

#### Cited in 178 Serials

 43 Stochastics and Dynamics 37 Stochastic Processes and their Applications 32 Journal of Differential Equations 27 The Annals of Probability 25 Discrete and Continuous Dynamical Systems. Series B 18 Probability Theory and Related Fields 17 Journal of Mathematical Analysis and Applications 14 The Annals of Applied Probability 12 Journal of Statistical Physics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Dynamics and Differential Equations 12 Discrete and Continuous Dynamical Systems 11 Stochastic Analysis and Applications 11 Bernoulli 10 Systems & Control Letters 9 Communications in Mathematical Physics 9 SIAM Journal on Applied Dynamical Systems 8 Journal of Functional Analysis 8 Statistics & Probability Letters 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Nonlinearity 7 Proceedings of the American Mathematical Society 6 Journal of Mathematical Physics 6 SIAM Journal on Mathematical Analysis 6 Potential Analysis 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Control and Optimization 5 Transactions of the American Mathematical Society 5 Journal of Theoretical Probability 5 Electronic Journal of Probability 5 Dynamical Systems 4 Automatica 4 NoDEA. Nonlinear Differential Equations and Applications 4 Bulletin des Sciences Mathématiques 4 Monte Carlo Methods and Applications 4 Acta Mathematica Sinica. English Series 4 Foundations of Computational Mathematics 4 Science China. Mathematics 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Computation 3 Applied Mathematics and Optimization 3 Journal of Approximation Theory 3 Memoirs of the American Mathematical Society 3 Physica D 3 Journal of Complexity 3 Stochastics and Stochastics Reports 3 Random Operators and Stochastic Equations 3 Journal of Difference Equations and Applications 3 Abstract and Applied Analysis 3 Qualitative Theory of Dynamical Systems 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Frontiers of Mathematics in China 3 Nonlinear Analysis. Hybrid Systems 3 Electronic Journal of Statistics 3 Research in the Mathematical Sciences 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of the Franklin Institute 2 Lithuanian Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Operations Research 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Indagationes Mathematicae. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Theory of Probability and Mathematical Statistics 2 Journal of Mathematical Sciences (New York) 2 Electronic Communications in Probability 2 The Journal of Fourier Analysis and Applications 2 Nonlinear Dynamics 2 Positivity 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Extremes 2 Interfaces and Free Boundaries 2 Probability in the Engineering and Informational Sciences 2 Brazilian Journal of Probability and Statistics 2 Journal of Evolution Equations 2 Stochastics 2 Statistics and Computing 2 SIAM/ASA Journal on Uncertainty Quantification 2 Nonlinear Analysis. Theory, Methods & Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Transport Theory and Statistical Physics 1 Acta Mathematica Vietnamica ...and 78 more Serials
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#### Cited in 40 Fields

 495 Probability theory and stochastic processes (60-XX) 211 Dynamical systems and ergodic theory (37-XX) 134 Partial differential equations (35-XX) 123 Ordinary differential equations (34-XX) 54 Systems theory; control (93-XX) 42 Numerical analysis (65-XX) 35 Operator theory (47-XX) 33 Biology and other natural sciences (92-XX) 30 Statistical mechanics, structure of matter (82-XX) 27 Statistics (62-XX) 23 Fluid mechanics (76-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Information and communication theory, circuits (94-XX) 9 Operations research, mathematical programming (90-XX) 8 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Approximations and expansions (41-XX) 7 Functional analysis (46-XX) 7 Computer science (68-XX) 6 Mechanics of deformable solids (74-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 5 Integral equations (45-XX) 5 General topology (54-XX) 5 Geophysics (86-XX) 4 Combinatorics (05-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)