# zbMATH — the first resource for mathematics

## Stochastics and Dynamics

 Short Title: Stoch. Dyn. Publisher: World Scientific, Singapore ISSN: 0219-4937; 1793-6799/e Online: https://www.worldscientific.com/loi/sd Comments: Indexed cover-to-cover
 Documents Indexed: 723 Publications (since 2001) References Indexed: 713 Publications with 15,078 References.
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#### Authors

 12 Kloeden, Peter Eris 10 Duan, Jinqiao 10 Lopes, Artur Oscar 9 Imkeller, Peter 9 Ouknine, Youssef 8 Freidlin, Mark I. 7 Denker, Manfred 7 Ruffino, Paulo Régis C. 7 Schmalfuß, Björn 6 Kesseböhmer, Marc 6 Kifer, Yuri 6 Nguyen Dinh Cong 5 Caraballo Garrido, Tomás 5 Dedecker, Jérôme 5 Khas’minskiĭ, Rafail Zalmanovich 5 Milstein, Grigori N. 5 Siegmund, Stefan 5 Tudor, Ciprian A. 5 Volný, Dalibor 5 Yan, Litan 4 Bo, Lijun 4 Crauel, Hans 4 Da Silva, Fabiano Borges 4 Flandoli, Franco 4 Garrido-Atienza, María José 4 Hu, Shigeng 4 Huang, Jianhua 4 Maslowski, Bohdan 4 Merlevède, Florence 4 Molchanov, Stanislav Alekseevich 4 Namachchivaya, N. Sri 4 Nicol, Matthew 4 Nualart, David 4 Pavlyukevich, Ilya 4 Real Anguas, José 4 Russo, Francesco 4 Scheutzow, Michael K. R. 4 Sowers, Richard B. 4 Stadlbauer, Manuel 4 Wang, Yejuan 4 Wang, Yongjin 4 Wu, Fuke 4 Zhang, Xicheng 4 Zheng, Yan 4 Zhou, Shengfan 3 Aaronson, Jon 3 Allouba, Hassan 3 Bahlali, Khaled 3 Bakhtin, Yuri Yu. 3 Bal, Guillaume 3 Barreira, Luis Manuel 3 Bessa, Mário 3 Blömker, Dirk 3 Bonaccorsi, Stefano 3 Bruin, Henk 3 Buckwar, Evelyn 3 Caithamer, Peter 3 Catuogno, Pedro José 3 Chen, Ercai 3 Cialenco, Igor 3 Deugoue, Gabriel 3 Duc, Luu Hoang 3 Duncan, Tyrone E. 3 Gao, Hongjun 3 Góra, Paweł 3 Guo, Yanfeng 3 Han, Xiaoying 3 Haydn, Nicolai T. A. 3 Huang, Xing 3 Jiang, Yiming 3 Johnson, Russell Allan 3 Keller, Gerhard 3 Kondrat’yev, Yuriĭ Grygorovych 3 Kotelenez, Peter M. 3 Lanconelli, Alberto 3 Langa, Jose’ Antonio 3 Ledesma, Diego Sebastian 3 Li, Yangrong 3 Lisei, Hannelore 3 Liu, Jicheng 3 Liu, Junfeng 3 Ma, Xianfeng 3 Matoussi, Anis 3 Melbourne, Ian 3 Michta, Mariusz 3 Qiao, Huijie 3 Robinson, James Cooper 3 Spiliopoulos, Konstantinos V. 3 Stuart, Andrew M. 3 Urbański, Mariusz 3 Valls Anglés, Cláudia 3 Van Bargen, Holger M. 3 Wang, Bixiang 3 Yang, Meihua 3 Zhai, Jianliang 3 Zhang, Tusheng S. 2 Agarwal, Ravi P. 2 Aggoun, Lakhdar 2 Aman, Auguste 2 Andres, Jan ...and 934 more Authors
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#### Fields

 531 Probability theory and stochastic processes (60-XX) 268 Dynamical systems and ergodic theory (37-XX) 117 Partial differential equations (35-XX) 103 Ordinary differential equations (34-XX) 49 Systems theory; control (93-XX) 34 Statistics (62-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Measure and integration (28-XX) 28 Statistical mechanics, structure of matter (82-XX) 26 Numerical analysis (65-XX) 24 Biology and other natural sciences (92-XX) 23 Operator theory (47-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Fluid mechanics (76-XX) 16 Geophysics (86-XX) 13 Mechanics of particles and systems (70-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Number theory (11-XX) 8 General and overarching topics; collections (00-XX) 8 Difference and functional equations (39-XX) 7 Quantum theory (81-XX) 7 Operations research, mathematical programming (90-XX) 6 Combinatorics (05-XX) 6 Potential theory (31-XX) 6 Differential geometry (53-XX) 6 Information and communication theory, circuits (94-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 General topology (54-XX) 3 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Manifolds and cell complexes (57-XX) 3 Computer science (68-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

518 Publications have been cited 3,130 times in 2,599 Documents Cited by Year
Attractors for stochastic lattice dynamical systems. Zbl 1105.60041
Bates, Peter W.; Lisei, Hannelore; Lu, Kening
2006
Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Zbl 1039.37002
Aaronson, Jon; Denker, Manfred
2001
Fractional Brownian motion and stochastic equations in Hilbert spaces. Zbl 1040.60054
Duncan, T. E.; Pasik-Duncan, B.; Maslowski, B.
2002
Existence and upper semicontinuity of attractors for stochastic equations with deterministic non-autonomous terms. Zbl 1304.35789
Wang, Bixiang
2014
MCMC methods for diffusion bridges. Zbl 1159.65007
Beskos, Alexandros; Roberts, Gareth; Stuart, Andrew; Voss, Jochen
2008
Boundary problems for fractional Laplacians. Zbl 1077.60036
Guan, Qing-Yang; Ma, Zhi-Ming
2005
Delay population dynamics and environmental noise. Zbl 1093.60033
Mao, Xuerong
2005
Pullback and forward attractors for a damped wave equation with delays. Zbl 1061.35153
Caraballo, T.; Kloeden, P. E.; Real, J.
2004
Pullback attractors of nonautonomous semidynamical systems. Zbl 1029.37010
Kloeden, P. E.
2003
Regularization of quasilinear heat equations by a fractional noise. Zbl 1080.60065
Nualart, David; Ouknine, Youssef
2004
Random differential equations with random delays. Zbl 1270.34182
Garrido-Atienza, M. J.; Ogrowsky, A.; Schmalfuss, B.
2011
Entropic risk measures: coherence vs. convexity, model ambiguity and robust large deviations. Zbl 1237.91128
Föllmer, Hans; Knispel, Thomas
2011
The existence and uniqueness for non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps. Zbl 1167.60336
Luo, Jiaowan; Taniguchi, Takeshi
2009
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
2002
Random attractors of stochastic reaction-diffusion equations on variable domains. Zbl 1235.60076
Crauel, H.; Kloeden, P. E.; Yang, Meihua
2011
Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion. Zbl 1365.34102
Xu, Yong; Pei, Bin; Wu, Jiang-Lun
2017
Successive approximations of infinite dimensional SDEs with jump. Zbl 1082.60048
Cao, Guilan; He, Kai; Zhang, Xicheng
2005
Hyperbolic stochastic partial differential equations with additive fractional Brownian sheet. Zbl 1040.60045
Erraoui, Mohamed; Ouknine, Youssef; Nualart, David
2003
Thermodynamic formalism for random transformations revisited. Zbl 1170.37019
Kifer, Yuri
2008
Stochastic dynamics of a coupled atmosphere-ocean model. Zbl 1090.86003
Duan, Jinqiao; Gao, Hongjung; Schmalfuß, Björn
2002
Recursive computation of the invariant distribution of a diffusion: The case of a weakly mean reverting drift. Zbl 1044.60069
Lamberton, Damien; Pagès, Gilles
2003
On the density of Hausdorff dimensions of bounded type continued fraction sets: the Texan conjecture. Zbl 1089.28006
Jenkinson, Oliver
2004
Finite dimensionality of attractors for non-autonomous dynamical systems given by partial differential equations. Zbl 1057.37069
Langa, J. A.; Schmalfuss, B.
2004
Stochastic Cahn-Hilliard partial differential equations with Lévy spacetime white noises. Zbl 1098.60058
Bo, Lijun; Wang, Yongjin
2006
A family of chaotic billiards with variable mixing rates. Zbl 1111.37029
Chernov, N.; Zhang, H.-K.
2005
Stochastic integration for fractional Brownian motion in a Hilbert space. Zbl 1095.60017
Duncan, T. E.; Jakubowski, J.; Pasik-Duncan, B.
2006
An optimal Markovian quantization algorithm for multi-dimensional stochastic control problems. Zbl 1111.65006
Pagès, Gilles; Pham, Huyên; Printems, Jacques
2004
Aperiodicity of cocycles and conditional local limit theorems. Zbl 1077.37010
Aaronson, J.; Denker, M.; Sarig, O.; Zweimüller, R.
2004
Pointwise ergodic theorems with rate with applications to limit theorems for stationary processes. Zbl 1210.60031
Cuny, Christophe
2011
Stochastic Cahn-Hilliard equation with fractional noise. Zbl 1156.60041
Bo, Lijun; Jiang, Yiming; Wang, Yongjin
2008
Nonstationary mixing and the unique ergodicity of adic transformations. Zbl 1231.28014
Fisher, Albert M.
2009
A large deviation principle for the equilibrium states of Hölder potentials: the zero temperature case. Zbl 1088.60091
Baraviera, Alexandre; Lopes, Artur O.; Thieullen, Philippe
2006
Two-step transition in nonautonomous bifurcations: An explanation. Zbl 1009.34037
Johnson, R. A.; Kloeden, P. E.; Pavani, R.
2002
Optimal consumption and investment in incomplete markets with general constraints. Zbl 1237.91202
Cheridito, Patrick; Hu, Ying
2011
Statistical properties of one-dimensional maps with critical points and singularities. Zbl 1130.37362
Díaz-Ordaz, K.; Holland, M. P.; Luzzatto, S.
2006
On stochastic evolution equations with non-Lipschitz coefficients. Zbl 1204.60059
Zhang, Xicheng
2009
Asymptotic properties of the maximum likelihood estimator for stochastic parabolic equations with additive fractional Brownian motion. Zbl 1176.62019
Cialenco, Igor; Lototsky, Sergey V.; Pospišil, Jan
2009
Non-Lipschitz backward stochastic Volterra type equations with jumps. Zbl 1203.60094
Wang, Zhidong; Zhang, Xicheng
2007
Stochastic stabilization of dynamical systems using Lévy noise. Zbl 1218.93106
Applebaum, David; Siakalli, Michailina
2010
The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise. Zbl 1083.60053
Caithamer, Peter
2005
Stability of stochastic delayed SIR model. Zbl 1176.93079
Chen, Guoting; Li, Tiecheng
2009
Weak convergence to Lévy stable processes in dynamical systems. Zbl 1206.60047
Tyran-Kamińska, Marta
2010
Conceptual stochastic climate models. Zbl 1022.86001
2002
Averaging principle for stochastic perturbations of multifrequency systems. Zbl 1050.60078
Freidlin, M. I.; Wentzell, A. D.
2003
Induced topological pressure for countable state Markov shifts. Zbl 1376.37074
Jaerisch, Johannes; Kesseböhmer, Marc; Lamei, Sanaz
2014
$$L^{p}$$-solutions for reflected backward stochastic differential equations. Zbl 1248.60064
2012
The existence and asymptotic behaviour of mild solutions to stochastic evolution equations with infinite delays driven by Poisson jumps. Zbl 1181.60102
Taniguchi, Takeshi; Luo, Jiaowan
2009
Approximation of Feller processes by Markov chains with Lévy increments. Zbl 1168.60359
Böttcher, Björn; Schilling, René L.
2009
Multisite coordinated delayed feedback for an effective desynchronization of neuronal networks. Zbl 1070.92007
Hauptmann, C.; Popovych, O.; Tass, P. A.
2005
Random attractors for second order stochastic lattice dynamical systems with multiplicative noise in weighted spaces. Zbl 1247.60093
Han, Xiaoying
2012
Another approach to some rough and stochastic partial differential equations. Zbl 1234.35330
Teichmann, Josef
2011
Invariant foliations for stochastic partial differential equations. Zbl 1153.60362
Lu, Kening; Schmalfuß, Björn
2008
On the replicator dynamics behavior under Stratonovich type random perturbations. Zbl 1100.60030
Khasminskii, R.; Potsepun, N.
2006
Multidimensional bifractional Brownian motion: Itô and Tanaka formulas. Zbl 1139.60321
Es-Sebaiy, Khalifa; Tudor, Ciprian A.
2007
On a nonlocal stochastic Kuramoto-Sivashinsky equation with jumps. Zbl 1203.60080
Bo, Lijun; Shi, Kehua; Wang, Yongjin
2007
Long-term behaviour of large mechanical systems with random initial data. Zbl 1032.70009
Kupperman, R.; Stuart, A. M.; Terry, J. R.; Tupper, P. F.
2002
Metastability in simple climate models: pathwise analysis of slowly driven Langevin equations. Zbl 1090.86001
Berglund, Nils; Gentz, Barbara
2002
Stable limits for probability preserving maps with indifferent fixed points. Zbl 1035.37001
Zweimüller, Roland
2003
A nonconventional strong law of large numbers and fractal dimensions of some multiple recurrence sets. Zbl 1255.60044
Kifer, Yuri
2012
Exponential mixing for some SPDEs with Lévy noise. Zbl 1239.60060
Priola, Enrico; Xu, Lihu; Zabczyk, Jerzy
2011
Attractors for the stochastic 3D Navier-Stokes equations. Zbl 1059.35100
Marín-Rubio, Pedro; Robinson, James C.
2003
Smoluchowski-Kramers approximation and exit problems. Zbl 1083.60018
Chen, Zhiwei; Freidlin, Mark
2005
Existence of global martingale solutions to stochastic hyperbolic equations driven by a spatially homogeneous Wiener process. Zbl 1092.60024
Ondreját, Martin
2006
The cohomology of stochastic and random differential equations, and local linearization of stochastic flows. Zbl 1020.60052
Imkeller, Peter; Lederer, Christian
2002
Representation of pathwise stationary solutions of stochastic Burgers’ equations. Zbl 1192.60083
Liu, Yong; Zhao, Huaizhong
2009
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
2004
Reduction, reconstruction, and skew-product decomposition of symmetric stochastic differential equations. Zbl 1187.60045
Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo
2009
Stochastic versions of Anosov’s and Neistadt’s theorems on averaging. Zbl 1049.34055
Kifer, Yuri
2001
Optimal stopping with delayed information. Zbl 1089.60027
Øksendal, Bernt
2005
BSDE representations for optimal switching problems with controlled volatility. Zbl 1291.93326
Elie, Romuald; Kharroubi, Idris
2014
Stochastic delay Gilpin-Ayala competition models. Zbl 1117.34079
Lian, Baosheng; Hu, Shigeng
2006
$$L^2$$ diffusion approximation for slow motion in averaging. Zbl 1055.34087
Kifer, Yuri
2003
Long range dependence, no arbitrage and the Black-Scholes formula. Zbl 1016.91053
Zähle, M.
2002
A nonautonomous saddle-node bifurcation pattern. Zbl 1057.34032
Fabbri, Roberta; Johnson, Russell; Mantellini, Francesca
2004
Return time statistics of invariant measures for interval maps with positive Lyapunov exponent. Zbl 1175.37044
Bruin, Henk; Todd, Mike
2009
Periodicity and Sharkovsky’s theorem for random dynamical systems. Zbl 1064.37037
Klünger, Marc
2001
Large deviations for SPDEs of jump type. Zbl 1327.60074
Yang, Xue; Zhai, Jianliang; Zhang, Tusheng
2015
GKW representation theorem under restricted information. An application to risk-minimization. Zbl 1300.60061
Ceci, Claudia; Cretarola, Alessandra; Russo, Francesco
2014
An averaging principle for two-scale stochastic partial differential equations. Zbl 1243.60053
Fu, Hongbo; Duan, Jinqiao
2011
Non-Lipschitz stochastic differential equations driven by multi-parameter Brownian motions. Zbl 1108.60054
Zhang, Xicheng; Zhu, Jingyang
2006
$$L^p$$-valued stochastic convolution integral driven by Volterra noise. Zbl 1417.60044
Čoupek, Petr; Maslowski, Bohdan; Ondreját, Martin
2018
Equi-attraction and the continuous dependence of pullback attractors on parameters. Zbl 1059.37015
Li, Desheng; Kloeden, P. E.
2004
Model reduction and stochastic resonance. Zbl 1027.60059
Imkeller, P.; Pavlyukevich, I.
2002
Modeling a simple choice task: Stochastic dynamics of mutually inhibitory neural groups. Zbl 1060.92019
Brown, Eric; Holmes, Philip
2001
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
2017
The diffusion coefficient for piecewise expanding maps of the interval with metastable states. Zbl 1312.60089
Dolgopyat, Dmitry; Wright, Paul
2012
Hermite variations of the fractional Brownian sheet. Zbl 1263.60035
Réveillac, Anthony; Stauch, Michael; Tudor, Ciprian A.
2012
First exit times of solutions of stochastic differential equations driven by multiplicative Lévy noise with heavy tails. Zbl 1235.60069
Pavlyukevich, Ilya
2011
Metastability, Lyapunov exponents, escape rates, and topological entropy in random dynamical systems. Zbl 1417.37185
Froyland, Gary; Stancevic, Ognjen
2013
Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052
Malheiro, Elaís C.; Viana, Marcelo
2015
Limit theorems for coupled interval maps. Zbl 1114.37006
Bardet, Jean-Baptiste; Gouëzel, Sébastien; Keller, Gerhard
2007
Inertial particles in a random field. Zbl 1018.37033
2002
Stochastic versions of Hartman-Grobman theorems. Zbl 1063.93053
Coayla-Teran, Edson A.; Ruffino, Paulo R. C.
2004
Self-similar corrections to the ergodic theorem for the Pascal-adic transformation. Zbl 1072.37006
Janvresse, É.; de la Rue, T.; Velenik, Y.
2005
Synchronization of systems with multiplicative noise. Zbl 1149.60036
Caraballo, Tomás; Kloeden, Peter E.; Neuenkirch, Andreas
2008
Time series from the ordinal viewpoint. Zbl 1125.37059
Keller, Karsten; Sinn, Mathieu; Emonds, Jan
2007
Rough Volterra equations. I: the algebraic integration setting. Zbl 1181.60105
Deya, Aurélien; Tindel, Samy
2009
Global pullback attractors of $$\mathbb{C}$$-analytic nonautonomous dynamical systems. Zbl 1038.37020
Cheban, David N.
2001
Decay and growth rates of solutions of scalar stochastic delay differential equations with unbounded delay and state-dependent noise. Zbl 1078.34059
Appleby, John A. D.
2005
Controlling stochastic oscillations close to a Hopf bifurcation by time-delayed feedback. Zbl 1082.93060
Schöll, E.; Balanov, A. G.; Janson, N. B.; Neiman, A.
2005
Dynamics of cholera epidemic models in fluctuating environments. Zbl 1460.92219
Phan, Tuan Anh; Tian, Jianjun Paul; Wang, Bixiang
2021
Extended backward stochastic Volterra integral equations, quasilinear parabolic equations, and Feynman-Kac formula. Zbl 07318765
Wang, Hanxiao
2021
Randomly switched vector fields sharing a zero on a common invariant face. Zbl 07318768
Strickler, Edouard
2021
Asymptotic expansion for the quadratic variations of the solution to the heat equation with additive white noise. Zbl 1461.62139
Araya, Héctor; Tudor, Ciprian A.
2021
A note on parameter estimation for discretely sampled SPDEs. Zbl 1451.60063
Cialenco, Igor; Huang, Yicong
2020
A law of large numbers and large deviations for interacting diffusions on Erdős-Rényi graphs. Zbl 1434.60279
Coppini, Fabio; Dietert, Helge; Giacomin, Giambattista
2020
Central limit theorems with a rate of convergence for time-dependent intermittent maps. Zbl 1456.37008
Hella, Olli; Leppänen, Juho
2020
Rates in almost sure invariance principle for quickly mixing dynamical systems. Zbl 1434.60104
Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F.
2020
Stein’s method of normal approximation for dynamical systems. Zbl 07272802
Hella, Olli; Leppänen, Juho; Stenlund, Mikko
2020
Random time change and related evolution equations. Time asymptotic behavior. Zbl 1452.35038
Kochubei, Anatoly N.; Kondratiev, Yuri G.; da Silva, José L.
2020
Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure. Zbl 1448.60138
Gubinelli, M.; Turra, M.
2020
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold. Zbl 1454.60088
Brzeźniak, Zdzisław; Hussain, Javed
2020
Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay. Zbl 1442.34125
Ma, Xiao; Shu, Xiao-Bao; Mao, Jianzhong
2020
Recurrence in mean for group actions. Zbl 07186897
Zhao, Cao; Ji, Yong
2020
Stability of McKean-Vlasov stochastic differential equations and applications. Zbl 1465.60047
Bahlali, Khaled; Mezerdi, Mohamed Amine; Mezerdi, Brahim
2020
Dynamics of stochastic FitzHugh-Nagumo systems with additive noise on unbounded thin domains. Zbl 1439.35592
Shi, Lin; Li, Dingshi; Li, Xiliang; Wang, Xiaohu
2020
Sufficient conditions for expansive group action. Zbl 1445.37011
Barzanouni, Ali
2020
Random switching near bifurcations. Zbl 1441.60057
Hurth, Tobias; Kuehn, Christian
2020
The attractor of piecewise expanding maps of the interval. Zbl 1442.37054
Del Magno, Gianluigi; Dias, João Lopes; Duarte, Pedro; Gaivão, José Pedro
2020
Random invariant manifolds for ill-posed stochastic evolution equations. Zbl 1441.37088
Neamţu, Alexandra
2020
Harnack and shift Harnack inequalities for SDEs with integrable drifts. Zbl 1423.60092
Huang, Xing
2019
Averaging principle for SDEs of neutral type driven by $$G$$-Brownian motion. Zbl 1444.34098
He, Xiaoying; Han, Song; Tao, Jin
2019
On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model. Zbl 1410.35295
Medjo, Theodore Tachim
2019
Approximation properties for solutions to Itô-Doob stochastic fractional differential equations with non-Lipschitz coefficients. Zbl 1422.34011
Abouagwa, Mahmoud; Li, Ji
2019
Self-normalized asymptotic properties for the parameter estimation in fractional Ornstein-Uhlenbeck process. Zbl 1419.62212
Jiang, Hui; Liu, Junfeng; Wang, Shaochen
2019
Weak solutions to Vlasov-McKean equations under Lyapunov-type conditions. Zbl 1434.60216
Mehri, Sima; Stannat, Wilhelm
2019
Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori. Zbl 1426.37045
Andres, Jan
2019
Backward stochastic differential equations with non-Markovian singular terminal values. Zbl 1415.60068
Sezer, Ali Devin; Kruse, Thomas; Popier, Alexandre
2019
Livšic theorem for matrix cocycles over nonuniformly hyperbolic systems. Zbl 1416.37034
Zou, Rui; Cao, Yongluo
2019
A note on symmetries of diffusions within a martingale problem approach. Zbl 1435.58004
De Vecchi, Francesco C.; Morando, Paola; Ugolini, Stefania
2019
Blow-up solutions of the stochastic nonlocal heat equations. Zbl 1415.60080
Wang, Xiaohuan
2019
Asymptotic analysis and homogenization of invariant measures. Zbl 1415.60053
Misiats, Oleksandr; Stanzhytskyi, Oleksandr; Yip, Nung Kwan
2019
Scaling limit for escapes from unstable equilibria in the vanishing noise limit: nontrivial Jordan block case. Zbl 1415.60060
Bakhtin, Yuri; Pajor-Gyulai, Zsolt
2019
Central limit theorem for generalized Weierstrass functions. Zbl 1409.37028
De Lima, Amanda; Smania, Daniel
2019
Backward stochastic differential equations with unbounded generators. Zbl 1434.60140
Gashi, Bujar; Li, Jiajie
2019
Occupation times of discrete-time fractional Brownian motion. Zbl 07042599
Denker, Manfred; Zheng, Xiaofei
2019
Periodic stochastic high-order Degasperis-Procesi equation with cylindrical fBm. Zbl 1434.60149
Chen, Yong; Gao, Hongjun; Huang, Jianhua
2019
Random exponential attractor for second-order nonautonomous stochastic lattice systems with multiplicative white noise. Zbl 07161211
Su, Haijuan; Zhou, Shengfan; Wu, Luyao
2019
Long-time behavior of random and nonautonomous Fisher-KPP equations. II. Transition fronts. Zbl 1430.35131
Salako, Rachidi B.; Shen, Wenxian
2019
Correlation inequalities and monotonicity properties of the Ruelle operator. Zbl 1453.37028
Cioletti, L.; Lopes, A. O.
2019
Path-dependent martingale problems and additive functionals. Zbl 1418.60092
2019
Stochastic traveling waves of a stochastic Fisher-KPP equation and bifurcations for asymptotic behaviors. Zbl 1418.60048
Wang, Zhenzhen; Huang, Zhehao; Liu, Zhengrong
2019
$$N$$-intertwined SIS epidemic model with Markovian switching. Zbl 07093473
Cao, Xiaochun; Jin, Zhen
2019
Random attractors of Fitzhugh-Nagumo systems driven by colored noise on unbounded domains. Zbl 1423.35473
Gu, Anhui; Wang, Bixiang
2019
Limiting dynamics for stochastic Fitzhugh-Nagumo equations on large domains. Zbl 1423.60104
Li, Yangrong; Li, Fuzhi
2019
Homogenization and correctors for linear stochastic equations via the periodic unfolding methods. Zbl 1423.60105
Mohammed, Mogtaba
2019
Stochastic partial differential equations driven by space-time fractional noises. Zbl 1415.60073
Hu, Ying; Jiang, Yiming; Qian, Zhongmin
2019
Diffusive behavior of ergodic sums over rotations. Zbl 07073211
Conze, Jean-Pierre; Isola, Stefano; Le Borgne, Stéphane
2019
Anticipated backward SDEs with jumps and quadratic-exponential growth drivers. Zbl 1415.39013
Fujii, Masaaki; Takahashi, Akihiko
2019
$$L^p$$-valued stochastic convolution integral driven by Volterra noise. Zbl 1417.60044
Čoupek, Petr; Maslowski, Bohdan; Ondreját, Martin
2018
Random attractors for 3D Benjamin-Bona-Mahony equations derived by a Laplace-multiplier noise. Zbl 1386.60222
Li, Yangrong; Wang, Renhai
2018
Averaging principles for SPDEs driven by fractional Brownian motions with random delays modulated by two-time-scale Markov switching processes. Zbl 1394.60036
Pei, Bin; Xu, Yong; Yin, George
2018
Strong solutions for functional SDEs with singular drift. Zbl 1378.60082
Huang, Xing
2018
Hui, Huihui; Ma, Dongkui
2018
Singular perturbation approximation for linear systems with Lévy noise. Zbl 1394.60047
Redmann, Martin; Benner, Peter
2018
Invariance principle via orthomartingale approximation. Zbl 1417.60017
Giraudo, Davide
2018
Asymptotic decomposition of substochastic semigroups and applications. Zbl 06813207
Pichór, Katarzyna; Rudnicki, Ryszard
2018
Non-central limit theorems for quadratic functionals of Hermite-driven long memory moving average processes. Zbl 1397.60060
Diu Tran, T. T.
2018
Random dynamical systems generated by coalescing stochastic flows on $$\mathbb{R}$$. Zbl 1394.37081
Riabov, Georgii V.
2018
Ergodic BSDEs driven by $$G$$-Brownian motion and applications. Zbl 1417.60050
Hu, Mingshang; Wang, Falei
2018
Chernoff approximation of subordinate semigroups. Zbl 06871300
Butko, Yana A.
2018
Moderate deviations for stochastic models of two-dimensional second grade fluids. Zbl 1396.60075
Zhai, Jianliang; Zhang, Tusheng; Zheng, Wuting
2018
Global stability in a nonlocal reaction-diffusion equation. Zbl 1400.35027
Finkelshtein, Dmitri; Kondratiev, Yuri; Molchanov, Stanislav; Tkachov, Pasha
2018
The functional Meyer-Tanaka formula. Zbl 1394.60076
Saporito, Yuri F.
2018
On a nonlinear stochastic pseudo-differential equation driven by fractional noise. Zbl 1386.60193
Liu, Junfeng; Yan, Litan
2018
Noise dependent synchronization of a degenerate SDE. Zbl 1381.37062
Vorkastner, Isabell
2018
Asymptotic behavior, attracting and quasi-invariant sets for impulsive neutral SPFDE driven by Lévy noise. Zbl 1386.35019
Huan, Diem Dang; Agarwal, Ravi P.
2018
Well-posedness and stability for a class of stochastic delay differential equations with singular drift. Zbl 1381.34104
Bachmann, Stefan
2018
Martingale-coboundary representation for stationary random fields. Zbl 1378.60077
Volný, Dalibor
2018
Spatial variation for the solution to the stochastic linear wave equation driven by additive space-time white noise. Zbl 1401.60058
Khalil, M.; Tudor, C. A.; Zili, M.
2018
On smooth approximation for random attractor of stochastic partial differential equations with multiplicative noise. Zbl 1403.37086
Fu, Hongbo; Liu, Xianming; Liu, Jicheng; Wang, Xiangjun
2018
On weak solutions of SDEs with singular time-dependent drift and driven by stable processes. Zbl 1386.60202
Jin, Peng
2018
Large and moderate deviations for bounded functions of slowly mixing Markov chains. Zbl 1386.60072
Dedecker, Jérôme; Gouëzel, Sébastien; Merlevède, Florence
2018
On the relaxed mean-field stochastic control problem. Zbl 1391.93293
Bahlali, Khaled; Mezerdi, Meriem; Mezerdi, Brahim
2018
Large deviations for quantum spin probabilities at temperature zero. Zbl 1402.37041
Lopes, Artur O.; Mengue, Jairo K.; Mohr, Joana; Moreira, Carlos G.
2018
On a selection problem for small noise perturbation in the multidimensional case. Zbl 1417.60052
Pilipenko, Andrey; Proske, Frank Norbert
2018
Mean field dynamics of a Wilson-Cowan neuronal network with nonlinear coupling term. Zbl 1417.60003
MacLaurin, James; Salhi, Jamil; Toumi, Salwa
2018
Stochastic inclusions and set-valued stochastic equations driven by a two-parameter Wiener process. Zbl 1417.60073
Michta, Mariusz; Świątek, Kamil Łukasz
2018
The synchronization of stochastic differential equations with linear noise. Zbl 1417.60047
2018
Strong Morse-Lyapunov functions for Morse decompositions of attractors of random dynamical systems. Zbl 1379.37030
Ju, Xuewei; Qi, Ailing; Wang, Jintao
2018
Stable manifolds for perturbations of exponential dichotomies in mean. Zbl 1387.37031
Barreira, Luis; Valls, Claudia
2018
Long-time behavior of 3D stochastic planetary geostrophic viscous model. Zbl 1401.60003
Dong, Zhao; Zhang, Rangrang
2018
BDSDE with Poisson jumps under stochastic Lipschitz and linear growth conditions. Zbl 1401.60106
2018
Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion. Zbl 1365.34102
Xu, Yong; Pei, Bin; Wu, Jiang-Lun
2017
Sample paths of the solution to the fractional-colored stochastic heat equation. Zbl 1355.60086
Tudor, Ciprian A.; Xiao, Yimin
2017
Randomization of Sharkovsky-type results on the circle. Zbl 1362.37083
Andres, Jan
2017
Dynamic behavior of stochastic $$p$$-Laplacian-type lattice equations. Zbl 1370.60106
Gu, Anhui; Li, Yangrong
2017
Elliptic PDEs with distributional drift and backward SDEs driven by a càdlàg martingale with random terminal time. Zbl 1367.60086
Russo, Francesco; Wurzer, Lukas
2017
Governing equations for probability densities of Marcus stochastic differential equations with Lévy noise. Zbl 1372.37101
Sun, Xu; Li, Xiaofan; Zheng, Yayun
2017
Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces. Zbl 1379.37099
Backes, Lucas; Poletti, Mauricio
2017
Intermittency for branching walks with heavy tails. Zbl 1372.60124
Getan, A.; Molchanov, S.; Vainberg, B.
2017
Expanding actions: minimality and ergodicity. Zbl 1379.37018
Barrientos, Pablo G.; Fakhari, Abbas; Malicet, Dominique; Sarizadeh, Aliasghar
2017
Backward doubly SDEs and SPDEs with superlinear growth generators. Zbl 1355.60070
Bahlali, Khaled; Gatt, Rafika; Mansouri, Badreddine; Mtiraoui, Ahmed
2017
Exponential ergodicity of CIR interest rate model with random switching. Zbl 1369.91187
Tong, Jinying; Zhang, Zhenzhong
2017
Solvability of coupled FBSDEs with diagonally quadratic generators. Zbl 1372.60084
Luo, Peng; Tangpi, Ludovic
2017
Markov processes with spatial delay: path space characterization, occupation time and properties. Zbl 1372.60118
Salins, Michael; Spiliopoulos, Konstantinos
2017
Infinite horizon optimal control of forward-backward stochastic system driven by Teugels martingales with Lévy processes. Zbl 1360.49002
Muthukumar, P.; Deepa, R.
2017
Bismut formulas and applications for stochastic (functional) differential equations driven by fractional Brownian motions. Zbl 1367.60081
Fan, Xiliang; Ren, Yong
2017
The quadratic covariation for a weighted fractional Brownian motion. Zbl 1374.60071
Sun, Xichao; Yan, Litan; Zhang, Qinghua
2017
White noise perturbation of locally stable dynamical systems. Zbl 1352.93099
Sultanov, Oskar
2017
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#### Cited by 2,706 Authors

 48 Wang, Bixiang 42 Caraballo Garrido, Tomás 38 Duan, Jinqiao 34 Kloeden, Peter Eris 33 Zhou, Shengfan 30 Yan, Litan 27 Melbourne, Ian 24 Li, Yangrong 23 Stuart, Andrew M. 21 Gu, Anhui 20 Lopes, Artur Oscar 19 Wang, Yongjin 18 Todd, Mike 18 Tudor, Ciprian A. 17 Han, Xiaoying 17 Langa, Jose’ Antonio 16 Huang, Jianhua 16 Lu, Kening 15 Terhesiu, Dalia 15 Zhao, Caidi 14 Jiang, Yiming 14 Mao, Xuerong 14 Pagès, Gilles 14 Pei, Bin 14 Xu, Yong 13 Freitas, Jorge Milhazes 13 Real Anguas, José 12 Kesseböhmer, Marc 12 Liu, Junfeng 12 Röckner, Michael 12 Shu, Ji 12 Tindel, Samy 12 Vaienti, Sandro 12 Valero, José 12 Wang, Yejuan 11 Aaronson, Jon 11 Andres, Jan 11 Bo, Lijun 11 Cui, Hongyong 11 Freidlin, Mark I. 11 Li, Dingshi 11 Nicol, Matthew 11 Panloup, Fabien 11 Rasmussen, Martin 11 Schmalfuß, Björn 11 Shen, Guangjun 11 Wang, Renhai 11 Wang, Xiaohu 11 Yin, George Gang 10 Cerrai, Sandra 10 Gao, Hongjun 10 Garnier, Josselin 10 Gouëzel, Sébastien 10 Hairer, Martin 10 Liu, Wei 10 Marín-Rubio, Pedro 10 Merlevède, Florence 10 Nualart, David 10 Yang, Meihua 10 Zhai, Jianliang 9 Bruin, Henk 9 Cheban, David Nikolai 9 Freitas, Ana Cristina Moreira 9 González-Tokman, Cecilia 9 Maslowski, Bohdan 9 Ondreját, Martin 9 Pavlyukevich, Ilya 9 Peligrad, Magda 9 Ren, Yong 9 Ruffino, Paulo Régis C. 9 Russo, Francesco 9 Siegmund, Stefan 9 Sølna, Knut 9 Stadlbauer, Manuel 9 Sun, Xichao 9 Varandas, Paulo 9 Wang, Wei 9 Wang, Zhaojuan 9 Wu, Fuke 9 Yin, Xiuwei 9 Zhang, Hongkun 8 Bal, Guillaume 8 Brzeźniak, Zdzisław 8 Cuny, Christophe 8 Dolgopyat, Dmitry 8 Froyland, Gary 8 Garrido-Atienza, María José 8 Guo, Boling 8 Högele, Michael Anton 8 Huang, Xing 8 Imkeller, Peter 8 Kifer, Yuri 8 Komorowski, Tomasz 8 Mengue, Jairo K. 8 Nguyen Dinh Cong 8 Shi, KeHua 8 Urbański, Mariusz 8 Wu, Jianglun 8 Yuan, Chenggui 8 Zhang, Xicheng ...and 2,606 more Authors
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#### Cited in 394 Journals

 174 Stochastics and Dynamics 103 Stochastic Processes and their Applications 84 Journal of Differential Equations 78 Journal of Mathematical Analysis and Applications 73 Stochastic Analysis and Applications 68 Discrete and Continuous Dynamical Systems. Series B 55 Ergodic Theory and Dynamical Systems 55 Discrete and Continuous Dynamical Systems 53 Journal of Statistical Physics 48 Communications in Mathematical Physics 48 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 45 Journal of Mathematical Physics 36 Statistics & Probability Letters 34 Dynamical Systems 31 Applied Mathematics and Computation 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 30 Abstract and Applied Analysis 28 Transactions of the American Mathematical Society 28 Journal of Theoretical Probability 28 Bernoulli 27 The Annals of Applied Probability 26 Probability Theory and Related Fields 25 Nonlinearity 25 The Annals of Probability 25 Physica D 24 Journal of Difference Equations and Applications 24 Advances in Difference Equations 23 Journal of Dynamics and Differential Equations 22 Journal of Functional Analysis 21 Potential Analysis 20 Israel Journal of Mathematics 20 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 20 Chaos 18 Acta Mathematica Sinica. English Series 18 Stochastics 17 Advances in Mathematics 17 SIAM Journal on Control and Optimization 17 Journal of Mathematical Sciences (New York) 17 Frontiers of Mathematics in China 16 Journal of Computational Physics 16 Proceedings of the American Mathematical Society 16 Science China. Mathematics 15 Applied Mathematics and Optimization 15 Journal of Computational and Applied Mathematics 14 Applied Mathematics Letters 14 Communications on Pure and Applied Analysis 13 Electronic Journal of Probability 12 Mathematical Methods in the Applied Sciences 12 Mathematical Problems in Engineering 12 Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 Bulletin des Sciences Mathématiques 11 Bulletin of the Brazilian Mathematical Society. New Series 10 Applicable Analysis 10 Chaos, Solitons and Fractals 10 Nonlinear Analysis. Real World Applications 9 Journal of Nonlinear Science 9 Multiscale Modeling & Simulation 9 Stochastic and Partial Differential Equations. Analysis and Computations 8 Computers & Mathematics with Applications 8 European Journal of Operational Research 8 SIAM Journal on Mathematical Analysis 8 NoDEA. Nonlinear Differential Equations and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 8 Discrete Dynamics in Nature and Society 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Advances in Applied Probability 7 International Journal of Control 7 Journal of the Franklin Institute 7 Journal of Applied Probability 7 Chinese Annals of Mathematics. Series B 7 Acta Mathematicae Applicatae Sinica. English Series 7 SIAM Journal on Scientific Computing 7 Journal of Applied Analysis and Computation 6 Theory of Probability and its Applications 6 Journal of Optimization Theory and Applications 6 Journal of Statistical Planning and Inference 6 Insurance Mathematics & Economics 6 Journal of Economic Dynamics & Control 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Random Operators and Stochastic Equations 6 Electronic Communications in Probability 6 Nonlinear Dynamics 6 Statistical Inference for Stochastic Processes 6 Communications in Nonlinear Science and Numerical Simulation 6 Electronic Journal of Statistics 6 Discrete and Continuous Dynamical Systems. Series S 6 Set-Valued and Variational Analysis 6 Modern Stochastics. Theory and Applications 5 Archive for Rational Mechanics and Analysis 5 Journal d’Analyse Mathématique 5 Wave Motion 5 Annales de l’Institut Fourier 5 Czechoslovak Mathematical Journal 5 Journal of Number Theory 5 Monatshefte für Mathematik 5 Systems & Control Letters 5 MCSS. Mathematics of Control, Signals, and Systems 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Communications in Partial Differential Equations 5 Complexity ...and 294 more Journals
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#### Cited in 57 Fields

 1,562 Probability theory and stochastic processes (60-XX) 903 Dynamical systems and ergodic theory (37-XX) 616 Partial differential equations (35-XX) 344 Ordinary differential equations (34-XX) 174 Systems theory; control (93-XX) 173 Numerical analysis (65-XX) 147 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 142 Statistics (62-XX) 132 Biology and other natural sciences (92-XX) 99 Fluid mechanics (76-XX) 94 Statistical mechanics, structure of matter (82-XX) 92 Operator theory (47-XX) 89 Measure and integration (28-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 52 Number theory (11-XX) 38 Real functions (26-XX) 32 Difference and functional equations (39-XX) 32 Integral equations (45-XX) 32 Global analysis, analysis on manifolds (58-XX) 32 Geophysics (86-XX) 24 Functional analysis (46-XX) 23 Mechanics of deformable solids (74-XX) 23 Operations research, mathematical programming (90-XX) 18 Mechanics of particles and systems (70-XX) 17 Computer science (68-XX) 15 Quantum theory (81-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Information and communication theory, circuits (94-XX) 12 Potential theory (31-XX) 11 Functions of a complex variable (30-XX) 9 Combinatorics (05-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Convex and discrete geometry (52-XX) 8 Optics, electromagnetic theory (78-XX) 7 Approximations and expansions (41-XX) 7 Differential geometry (53-XX) 6 Group theory and generalizations (20-XX) 6 General topology (54-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Abstract harmonic analysis (43-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Special functions (33-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX)