## Scheutzow, Michael K. R.

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 Author ID: scheutzow.michael Published as: Scheutzow, Michael; Scheutzow, M.; Scheutzow, Michael K. R. more...less Homepage: http://page.math.tu-berlin.de/~scheutzow/ External Links: MGP
 Documents Indexed: 114 Publications since 1982 3 Contributions as Editor Reviewing Activity: 125 Reviews Co-Authors: 82 Co-Authors with 90 Joint Publications 1,908 Co-Co-Authors
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### Co-Authors

 27 single-authored 8 Mohammed, Salah-Eldin A. 6 Dondl, Patrick Werner 4 Chueshov, Igor’ Dmitrievich 4 Cranston, Michael Craig 4 Dereich, Steffen 4 Riedel, Sebastian 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 Kulik, Alexey M. 3 Lemmens, Bas 3 Steinsaltz, David R. 3 von Renesse, Max-Konstantin 3 Vorkastner, Isabell 3 Wilke-Berenguer, Maite 2 Beck, Sergej 2 Crauel, Hans 2 Dirr, Nicolas Peter 2 Flandoli, Franco 2 Ling, Chengcheng 2 Lisei, Hannelore 2 Matoussi, Anis 2 Mehri, Sima 2 Nussbaum, Roger David 2 van Gaans, Onno Ward 2 von Weizsäcker, Heinrich 2 Wang, Yuebao 2 Xu, Hui 1 Arnold, Ludwig 1 Bailleul, Ismaël F. 1 Bao, Jianhai 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 Geiss, Sarah 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 Jesenko, Martin 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 Schindler, Dominik 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 Varzaneh, Mazyar Ghani 1 Verduyn Lunel, Sjoerd M. 1 Vormoor, Christian 1 Wasserroth, Simon 1 Yuan, Chenggui 1 Zangeneh, Bian Z.
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### Serials

 10 The Annals of Probability 7 Electronic Communications in Probability 6 Probability Theory and Related Fields 6 Electronic Journal of Probability 5 Discrete and Continuous Dynamical Systems. Series B 5 Stochastics and Dynamics 4 Journal of Differential Equations 4 The Annals of Applied Probability 4 Stochastic Processes and their Applications 3 Journal of Mathematical Analysis and Applications 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 Interfaces and Free Boundaries 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 Probability in the Engineering and Informational Sciences 1 SIAM Journal on Applied Dynamical Systems 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

 101 Probability theory and stochastic processes (60-XX) 41 Dynamical systems and ergodic theory (37-XX) 28 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 10 Operator theory (47-XX) 7 Systems theory; control (93-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 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 Combinatorics (05-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 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

93 Publications have been cited 1,094 times in 758 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
The stable manifold theorem for stochastic differential equations. Zbl 0940.60084
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1999
On the structure of attractors and invariant measures for a class of monotone random systems. Zbl 1061.37032
Chueshov, Igor; Scheutzow, Michael
2004
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
Constructive quantization: approximation by empirical measures. Zbl 1283.60063
Dereich, Steffen; Scheutzow, Michael; Schottstedt, Reik
2013
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
Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations. Zbl 0990.37041
Chueshov, I. D.; Scheutzow, M.
2001
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
2010
Comparison of various concepts of a random attractor: a case study. Zbl 1100.37032
Scheutzow, Michael
2002
Qualitative behaviour of stochastic delay equations with a bounded memory. Zbl 0539.60061
Scheutzow, M.
1984
Synchronization by noise. Zbl 1385.37017
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
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
Random dynamical systems, rough paths and rough flows. Zbl 1382.37050
Bailleul, I.; Riedel, S.; Scheutzow, M.
2017
Uniqueness and non-uniqueness of solutions of Vlasov-McKean equations. Zbl 0625.60062
Scheutzow, Michael
1987
Stochastic PDEs driven by nonlinear noise and backward doubly SDEs. Zbl 0999.60063
Matoussi, Anis; Scheutzow, Michael
2002
A stochastic Gronwall lemma. Zbl 1271.60056
Scheutzow, Michael
2013
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
Some remarks and examples concerning the transience and recurrence of random diffusions. Zbl 0766.60098
Pinsky, Ross; Scheutzow, Michael
1992
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
Harnack inequality for functional SDEs with bounded memory. Zbl 1195.34124
Es-Sarhir, Abdelhadi; Von Renesse, Max-K.; Scheutzow, Michael
2009
Invariant measures for stochastic functional differential equations with superlinear drift term. Zbl 1240.34396
Es-Sarhir, Abdelhadi; Scheutzow, Michael; van Gaans, Onno
2010
Noise can create periodic behavior and stabilize nonlinear diffusions. Zbl 0582.60060
Scheutzow, Michael
1985
Synchronization by noise for order-preserving random dynamical systems. Zbl 1379.37101
Flandoli, Franco; Gess, Benjamin; Scheutzow, Michael
2017
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. Zbl 1382.34084
Butkovsky, Oleg; Scheutzow, Michael
2017
Linear expansion of isotropic Brownian flows. Zbl 0938.60048
Cranston, Michael; Scheutzow, Michael; Steinsaltz, David
1999
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 dynamics of sup-norm non-expansive maps. Zbl 1114.47044
Lemmens, Bas; Scheutzow, Michael
2005
High-resolution quantization and entropy coding for fractional Brownian motion. Zbl 1110.60030
Dereich, S.; Scheutzow, M.
2006
Lack of strong completeness for stochastic flows. Zbl 1235.60066
Li, Xue-Mei; Scheutzow, Michael
2011
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
Lyapunov exponents and stationary solutions for affine stochastic delay equations. Zbl 0704.60062
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1990
On the random dynamics of Volterra quadratic operators. Zbl 1408.37090
Jamilov, U. U.; Scheutzow, M.; Wilke-Berenguer, M.
2017
Generalized couplings and convergence of transition probabilities. Zbl 1392.60061
Kulik, Alexei; Scheutzow, Michael
2018
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
Attractors and expansion for Brownian flows. Zbl 1221.37109
Dimitroff, Georgi; Scheutzow, Michael
2011
Rough differential equations with unbounded drift term. Zbl 1357.34096
Riedel, S.; Scheutzow, M.
2017
Linear bounds for stochastic dispersion. Zbl 1044.60055
Cranston, Mike; Scheutzow, Michael; Steinsaltz, David
2000
Pinning of interfaces in random media. Zbl 1231.35323
Dirr, Nicolas; Dondl, Patrick W.; Scheutzow, Michael
2011
Some examples of nonlinear diffusion processes having a time-periodic law. Zbl 0563.60066
Scheutzow, Michael
1985
Minimal random attractors. Zbl 1386.37050
Crauel, Hans; Scheutzow, Michael
2018
Spatial estimates for stochastic flows in Euclidean space. Zbl 0937.60056
Mohammed, Salah-Eldin A.; Scheutzow, Michael K. R.
1998
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
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
Generalized couplings and ergodic rates for SPDEs and other Markov models. Zbl 1434.60147
Butkovsky, Oleg; Kulik, Alexei; Scheutzow, Michael
2020
On the spatial asymptotic behavior of stochastic flows in Euclidean space. Zbl 0942.60053
Imkeller, Peter; Scheutzow, Michael
1999
Chasing balls through martingale fields. Zbl 1017.60073
Scheutzow, Michael; Steinsaltz, David
2002
On a transformation between distributions obeying the principle of a single big jump. Zbl 1351.60016
Xu, Hui; Scheutzow, Michael; Wang, Yuebao
2015
Periods of nonexpansive operators on finite $$\ell _ 1$$-spaces. Zbl 0639.47046
Scheutzow, Michael
1988
Strong completeness and semi-flows for stochastic differential equations with monotone drift. Zbl 1373.60103
Scheutzow, Michael; Schulze, Susanne
2017
A new class of large claim size distributions: definition, properties, and ruin theory. Zbl 1362.60007
Beck, Sergej; Blath, Jochen; Scheutzow, Michael
2015
An integral inequality and its application to a problem of stabilization by noise. Zbl 0836.26015
Scheutzow, Michael
1995
Generation of one-sided random dynamical systems by stochastic differential equations. Zbl 0888.60044
Kager, Gerald; Scheutzow, Michael
1997
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
Rate of convergence of some self-attracting diffusions. Zbl 1075.60101
Herrmann, Samuel; Scheutzow, Michael
2004
A coupling approach to Doob’s theorem. Zbl 1310.60104
Scheutzow, Michael
2015
Invariance and monotonicity for stochastic delay differential equations. Zbl 1316.34081
Chueshov, Igor; Scheutzow, Michael
2013
$$(G,\mu)$$-quadratic stochastic operators. Zbl 1303.37036
Blath, J.; Jamilov, U. U.; Scheutzow, M.
2014
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
Linear bounds and Gaussian tails in a stochastic dispersion model. Zbl 1039.60059
Lisei, Hannelore; Scheutzow, Michael
2001
Continuity properties of inertial manifolds for stochastic retarded semilinear parabolic equations. Zbl 1093.60038
Chueshov, Igor; Scheutzow, Michael; Schmalfuß, Björn
2005
Chaining techniques and their application to stochastic flows. Zbl 1180.37077
Scheutzow, Michael
2009
Dispersion of volume under the action of isotropic Brownian flows. Zbl 1169.60311
Dimitroff, G.; Scheutzow, M.
2009
Hyperbolic state space decomposition for a linear stochastic delay equation. Zbl 0588.60051
Mohammed, S.; Scheutzow, M.; von Weizsäcker, Heinrich
1986
A discrete stochastic Gronwall lemma. Zbl 1482.60093
Kruse, Raphael; Scheutzow, Michael
2018
Asymptotics for a class of iterated random cubic operators. Zbl 07101971
Homburg, A. J.; Jamilov, U. U.; Scheutzow, M.
2019
A law of large numbers for upcrossing measures. Zbl 0813.60032
Scheutzow, Michael
1994
High resolution quantization and entropy coding of jump processes. Zbl 1177.94120
Aurzada, Frank; Dereich, Steffen; Scheutzow, Michael; Vormoor, Christian
2009
Evolution systems of measures for stochastic flows. Zbl 1248.37047
Chen, Xiaopeng; Duan, Jinqiao; Scheutzow, Michael
2011
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
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
Weak synchronization for isotropic flows. Zbl 1368.37059
Cranston, Michael; Gess, Benjamin; Scheutzow, Michael
2016
Random delta-Hausdorff-attractors. Zbl 1405.37056
Scheutzow, Michael; Wilke-Berenguer, Maite
2018
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
Well-posedness, stability and sensitivities for stochastic delay equations: a generalized coupling approach. Zbl 1481.34094
Kulik, Alexei; Scheutzow, Michael
2020
A dynamical theory for singular stochastic delay differential equations. I: Linear equations and a multiplicative ergodic theorem on fields of Banach spaces. Zbl 07484043
Varzaneh, M. Ghani; Riedel, S.; Scheutzow, M.
2022
Dispersion rates under finite mode Kolmogorov flows. Zbl 1021.60032
Cranston, Mike; Scheutzow, Michael
2002
Noise-induced transitions for one-dimensional diffusions. Zbl 0874.60049
Scheutzow, M.
1996
Invariant measures for monotone SPDEs with multiplicative noise term. Zbl 1303.60052
Es-Sarhir, Abdelhadi; Scheutzow, Michael; Tölle, Jonas M.; van Gaans, Onno
2013
Erratum: Periods of non-expansive operators on finite $$\ell_ 1$$-spaces. Zbl 0722.47043
Scheutzow, Michael
1991
Transitive actions of finite Abelian groups of sup-norm isometries. Zbl 1163.37009
Lemmens, Bas; Scheutzow, Michael; Sparrow, Colin
2007
Moments of recurrence times for Markov chains. Zbl 1231.60063
Aurzada, Frank; Döring, Hanna; Ortgiese, Marcel; Scheutzow, Michael
2011
A stochastic Gronwall lemma and well-posedness of path-dependent SDEs driven by martingale noise. Zbl 1468.60074
Mehri, Sima; Scheutzow, Michael
2021
Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting. Zbl 1468.60077
Butkovsky, Oleg; Scheutzow, Michael
2020
Minimal forward random point attractors need not exist. Zbl 1420.60090
Scheutzow, Michael
2019
Synchronization, Lyapunov exponents and stable manifolds for random dynamical systems. Zbl 1403.37064
Scheutzow, Michael; Vorkastner, Isabell
2018
A dynamical theory for singular stochastic delay differential equations. I: Linear equations and a multiplicative ergodic theorem on fields of Banach spaces. Zbl 07484043
Varzaneh, M. Ghani; Riedel, S.; Scheutzow, M.
2022
A stochastic Gronwall lemma and well-posedness of path-dependent SDEs driven by martingale noise. Zbl 1468.60074
Mehri, Sima; Scheutzow, Michael
2021
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
Generalized couplings and ergodic rates for SPDEs and other Markov models. Zbl 1434.60147
Butkovsky, Oleg; Kulik, Alexei; Scheutzow, Michael
2020
Well-posedness, stability and sensitivities for stochastic delay equations: a generalized coupling approach. Zbl 1481.34094
Kulik, Alexei; Scheutzow, Michael
2020
Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting. Zbl 1468.60077
Butkovsky, Oleg; Scheutzow, Michael
2020
Asymptotics for a class of iterated random cubic operators. Zbl 07101971
Homburg, A. J.; Jamilov, U. U.; Scheutzow, M.
2019
Minimal forward random point attractors need not exist. Zbl 1420.60090
Scheutzow, Michael
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
A discrete stochastic Gronwall lemma. Zbl 1482.60093
Kruse, Raphael; 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
Invariant measures for stochastic functional differential equations. Zbl 1382.34084
Butkovsky, Oleg; Scheutzow, Michael
2017
On the random dynamics of Volterra quadratic operators. Zbl 1408.37090
Jamilov, U. U.; Scheutzow, M.; Wilke-Berenguer, M.
2017
Rough differential equations with unbounded drift term. Zbl 1357.34096
Riedel, S.; Scheutzow, M.
2017
Strong completeness and semi-flows for stochastic differential equations with monotone drift. Zbl 1373.60103
Scheutzow, Michael; Schulze, Susanne
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
Exponential growth rate for a singular linear stochastic delay differential equation. Zbl 1281.34127
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
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
Lack of strong completeness for stochastic flows. Zbl 1235.60066
Li, Xue-Mei; Scheutzow, Michael
2011
Attractors and expansion for Brownian flows. Zbl 1221.37109
Dimitroff, Georgi; 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
Invariant measures for stochastic functional differential equations with superlinear drift term. Zbl 1240.34396
Es-Sarhir, Abdelhadi; Scheutzow, Michael; van Gaans, Onno
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
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
Chaining techniques and their application to stochastic flows. Zbl 1180.37077
Scheutzow, Michael
2009
Dispersion of volume under the action of isotropic Brownian flows. Zbl 1169.60311
Dimitroff, G.; Scheutzow, M.
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
all top 5

### Cited by 872 Authors

 52 Scheutzow, Michael K. R. 31 Wang, Bixiang 21 Lu, Kening 19 Schmalfuß, Björn 16 Yuan, Chenggui 14 Bao, Jianhai 14 Duan, Jinqiao 14 Mao, Xuerong 13 Jamilov, Uygun U. 13 Mohammed, Salah-Eldin A. 11 Gess, Benjamin 10 Garrido-Atienza, María José 10 Shao, Jinghai 10 Wang, Feng-Yu 9 Matoussi, Anis 8 Appleby, John A. D. 8 Crauel, Hans 8 Dereich, Steffen 8 Shen, Jun 8 Yin, George Gang 7 Dondl, Patrick Werner 7 Duc, Luu Hoang 7 Gu, Anhui 7 Imkeller, Peter 7 Luschgy, Harald 7 Pagès, Gilles 7 Röckner, Michael 7 Yang, Meihua 6 Caraballo Garrido, Tomás 6 Chueshov, Igor’ Dmitrievich 6 Dai Pra, Paolo 6 Eberle, Andreas 6 Glatt-Holtz, Nathan E. 6 Lemmens, Bas 6 Li, Dingshi 6 Liu, Wei 6 Neamţu, Alexandra 6 Nguyen Dinh Cong 6 Wang, Yuebao 6 Xu, Hui 6 Zhang, Xicheng 6 Zhao, Huaizhong 5 Holroyd, Alexander E. 5 Kulik, Alexey M. 5 Ladra González, Manuel 5 Le, Anh Minh 5 Liu, Xianming 5 Nguyen Thieu Huy 5 Riedel, Sebastian 5 Tong, Xin Thomson 5 Wang, Xiaohu 5 Zhang, Tusheng S. 4 Bailleul, Ismaël F. 4 Bates, Peter W. 4 Cao, Jinde 4 Cavazos-Cadena, Rolando 4 Cranston, Michael Craig 4 Engel, Maximilian 4 Formentin, Marco 4 Gaubert, Stéphane 4 Guillin, Arnaud 4 Hairer, Martin 4 Herzog, David P. 4 Hobert, James P. 4 Hong, Wei 4 Huang, Xing 4 Hutzenthaler, Martin 4 Jentzen, Arnulf 4 Jiang, Jifa 4 Kloeden, Peter Eris 4 Kühn, Christian 4 Li, Shihu 4 Li, Xiaoyue 4 Lisei, Hannelore 4 Majda, Andrew J. 4 Müller-Gronbach, Thomas 4 Nguyen, Dang Hai 4 Nielsen, Mikkel Slot 4 Nussbaum, Roger David 4 Ren, Yong 4 Ritter, Klaus 4 Van Bargen, Holger M. 4 van Gaans, Onno Ward 4 Vorkastner, Isabell 4 Wang, Zhen 4 Wu, Fuke 4 Xu, Lihu 4 Yin, Wensheng 4 Zhao, Junyilang 4 Zimmer, Raphael 3 Aman, Auguste 3 Aurzada, Frank 3 Bachouch, Achref 3 Berger, Arno 3 Biskamp, Moritz 3 Bobkov, Sergey Germanovich 3 Bonilla, Luis Lopez 3 Butkovsky, Oleg A. 3 Chen, Xiaopeng 3 Cheng, Dongya ...and 772 more Authors
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### Cited in 200 Serials

 51 Stochastics and Dynamics 44 Stochastic Processes and their Applications 40 Journal of Differential Equations 30 The Annals of Probability 30 Discrete and Continuous Dynamical Systems. Series B 22 The Annals of Applied Probability 20 Probability Theory and Related Fields 19 Journal of Mathematical Analysis and Applications 14 Journal of Dynamics and Differential Equations 14 Discrete and Continuous Dynamical Systems 13 Journal of Statistical Physics 13 Stochastic Analysis and Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Bernoulli 11 Systems & Control Letters 10 Statistics & Probability Letters 10 Electronic Journal of Probability 10 SIAM Journal on Applied Dynamical Systems 9 Communications in Mathematical Physics 9 Nonlinearity 9 Journal of Functional Analysis 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Proceedings of the American Mathematical Society 8 Dynamical Systems 7 SIAM Journal on Mathematical Analysis 7 Potential Analysis 6 Journal of Mathematical Physics 6 Chaos, Solitons and Fractals 6 Electronic Communications in Probability 5 Physica A 5 Applied Mathematics and Optimization 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Control and Optimization 5 Transactions of the American Mathematical Society 5 Physica D 5 Journal of Theoretical Probability 4 Applied Mathematics and Computation 4 Automatica 4 Random Operators and Stochastic Equations 4 NoDEA. Nonlinear Differential Equations and Applications 4 Bulletin des Sciences Mathématiques 4 Monte Carlo Methods and Applications 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Acta Mathematica Sinica. English Series 4 Qualitative Theory of Dynamical Systems 4 Foundations of Computational Mathematics 4 Electronic Journal of Statistics 4 Science China. Mathematics 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Lithuanian Mathematical Journal 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Approximation Theory 3 Memoirs of the American Mathematical Society 3 Journal of Complexity 3 Stochastics and Stochastics Reports 3 Journal of Difference Equations and Applications 3 Abstract and Applied Analysis 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Frontiers of Mathematics in China 3 Nonlinear Analysis. Hybrid Systems 3 Research in the Mathematical Sciences 2 Advances in Applied Probability 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of the Franklin Institute 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics and Computers in Simulation 2 Mathematics of Operations Research 2 Ergodic Theory and Dynamical Systems 2 Probability and Mathematical Statistics 2 Acta Applicandae Mathematicae 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 The Journal of Fourier Analysis and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Dynamics 2 Positivity 2 Extremes 2 Interfaces and Free Boundaries 2 Probability in the Engineering and Informational Sciences 2 Lobachevskii Journal of Mathematics 2 Brazilian Journal of Probability and Statistics 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 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 2 AIMS Mathematics 2 SIAM Journal on Mathematics of Data Science 1 American Mathematical Monthly 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications ...and 100 more Serials
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### Cited in 41 Fields

 578 Probability theory and stochastic processes (60-XX) 243 Dynamical systems and ergodic theory (37-XX) 166 Partial differential equations (35-XX) 140 Ordinary differential equations (34-XX) 63 Systems theory; control (93-XX) 50 Numerical analysis (65-XX) 42 Operator theory (47-XX) 41 Biology and other natural sciences (92-XX) 40 Statistical mechanics, structure of matter (82-XX) 37 Statistics (62-XX) 26 Fluid mechanics (76-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Operations research, mathematical programming (90-XX) 13 Information and communication theory, circuits (94-XX) 10 Computer science (68-XX) 9 Integral equations (45-XX) 8 Measure and integration (28-XX) 8 Approximations and expansions (41-XX) 7 Functional analysis (46-XX) 6 Difference and functional equations (39-XX) 6 Mechanics of deformable solids (74-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 General topology (54-XX) 5 Geophysics (86-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-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)