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## Random Operators and Stochastic Equations

 Short Title: Random Oper. Stoch. Equ. Publisher: De Gruyter, Berlin ISSN: 0926-6364; 1569-397X/e Online: http://www.degruyter.com/view/j/rose Comments: Indexed cover-to-cover
 Documents Indexed: 637 Publications (since 1993) References Indexed: 268 Publications with 4,319 References.
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#### Authors

 73 Girko, Vyacheslav Leonidovich 27 Gupta, Arjun Kumar 17 Kozachenko, Yuriĭ Vasyl’ovych 16 Leonenko, Nikolai N. 16 N’Zi, Modeste 15 Ouknine, Youssef 11 Molchanov, Stanislav Alekseevich 10 Pogorui, Anatoliy A. 9 Albeverio, Sergio A. 8 Bondarev, Borys Volodymyrovych 8 Kirsch, Werner 8 Prakasa Rao, B. L. S. 8 Rodríguez-Dagnino, Ramón Martín 8 Shatashvili, Albert D. 8 Skorokhod, Anatoliĭ Volodymyrovych 7 Erraoui, Mohamed 7 Mezerdi, Brahim 7 Nadarajah, Saralees 7 Vladimirova, Anna I. 6 Al-Hussein, Abdulrahman 6 Bahlali, Seid 6 Chala, Adel 6 El Otmani, Mohamed 6 Moklyachuk, Mykhaĭlo Pavlovych 6 Tudor, Ciprian A. 5 Accardi, Luigi 5 Aman, Auguste 5 Bahlali, Khaled 5 Botelho, Luiz C. L. 5 Eddahbi, M’hamed 5 Gherbal, Boulakhras 5 Kadankov, Viktor F. 5 Khorunzhy, Alexei M. 5 Kondrat’yev, Yuriĭ Grygorovych 5 Kumam, Poom 5 Mishura, Yuliya Stepanivna 5 Nguyen Minh Chuong 5 Ouerdiane, Habib 5 Rempała, Grzegorz A. 5 Sghir, Aissa 5 Thuan, Nguyen Xuan 4 Ait Ouahra, Mohamed 4 Bamber, Donald 4 Boufoussi, Brahim 4 Choudhury, Binayak Samadder 4 Goodman, Irwin R. 4 Katafygiotis, Lambros S. 4 Knopova, Victoria Pavlovna 4 Lakhel, El Hassan 4 Nagar, Daya K. 4 Nguyen, Hung Trung 4 Ning, Wei 4 Salehi, Habib 4 Shevchuk, Larissa D. 4 Tsarkov, Yevgeny 3 Aidara, Sadibou 3 Anh, Vo V. 3 Barhoumi, Abdessatar 3 Boudref, Mohamed-Ahmed 3 Boutet de Monvel, Anne Marie 3 Carmona, René A. 3 Casati, Giulio 3 Ezzinbi, Khalil 3 Fomin-Shatashvili, Andrey A. 3 Haidar, Nassar H. S. 3 Koralov, Leonid B. 3 Kulinich, Grygoriĭ L. 3 Li, Zhi 3 Lu, Yun Gang 3 Makhno, Sergeĭ Yakovlevich 3 Nashine, Hemant Kumar 3 Orsingher, Enzo 3 Owo, Jean-Marc 3 Polshkov, Yulian Nikolaevich 3 Portenko, Mykola Ivanovych 3 Pratsiovytyi, Mykola V. 3 Rodrigues, Waldyr Alves jun. 3 Ruiz-Medina, María Dolores 3 Sbi, A. 3 Sen, Pranab Kumar 3 Shaikhet, Leonid Efimovich 3 Shevchenko, Georgiy M. 3 Skorokhod, D. A. 3 Swishchuk, Anatoliy 3 Thang, Dang Hung 3 Viens, Frederi G. 3 Wang, Tonghui 3 Yode, Armel Fabrice 3 Yurachkivsky, Andriĭ P. 2 Akdim, Khadija 2 Arnold, Ludwig 2 Ayed, Wided 2 Berboucha, Ahmed 2 Bishwal, Jaya P. N. 2 Blouhi, Tayeb 2 Boukas, Andreas 2 Buldygin, Valeriĭ Volodymyrovych 2 Chani, Aleksandr S. 2 Chen, Jie 2 Chighoub, Farid ...and 488 more Authors
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#### Fields

 510 Probability theory and stochastic processes (60-XX) 117 Statistics (62-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 58 Partial differential equations (35-XX) 46 Operator theory (47-XX) 40 Systems theory; control (93-XX) 29 Ordinary differential equations (34-XX) 28 Numerical analysis (65-XX) 19 Measure and integration (28-XX) 19 Quantum theory (81-XX) 18 Functional analysis (46-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Biology and other natural sciences (92-XX) 8 Number theory (11-XX) 8 Fluid mechanics (76-XX) 7 General topology (54-XX) 7 Information and communication theory, circuits (94-XX) 6 Special functions (33-XX) 6 Computer science (68-XX) 5 Real functions (26-XX) 5 Integral equations (45-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-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

312 Publications have been cited 1,174 times in 948 Documents Cited by Year
Some skew-symmetric models. Zbl 1118.60300
Gupta, A. K.; Chang, F. C.; Huang, W. J.
2002
Localization for random perturbations of periodic Schrödinger operators. Zbl 0927.60067
Kirsch, Werner; Stollmann, Peter; Stolz, Günter
1998
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
2010
Asymptotic distribution of smoothed eigenvalue density. II. Wigner random matrices. Zbl 0952.60064
Boutet de Monvel, A.; Khorunzhy, A.
1999
Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048
Applebaum, David; Wu, Jiang-Lun
2000
Parametric estimation for linear stochastic differential equations driven by fractional Brownian motion. Zbl 1053.62089
Prakasa Rao, B. L. S.
2003
Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
2004
Asymptotic distribution of smoothed eigenvalue density. I. Gaussian random matrices. Zbl 0936.15021
Boutet de Monvel, A.; Khorunzhy, A.
1999
The stochastic maximum principle in optimal control of singular diffusions with nonlinear coefficients. Zbl 1101.93080
2005
Asymptotic approximations for EPMC’s of the linear and the quadratic discriminant functions when the sample sizes and the dimension are large. Zbl 0924.62070
Fujikoshi, Yasunori; Seo, Takashi
1998
Asymptotics for the almost sure Lyapunov exponent for the solution of the parabolic Anderson problem. Zbl 0972.60050
Carmona, Rene; Koralov, Leonid; Molchanov, Stanislav
2001
Motions with reflecting and absorbing barriers driven by the telegraph equation. Zbl 0822.60073
Orsingher, E.
1995
Some perturbations of drift-type for symmetric stable processes. Zbl 0839.60056
Portenko, N. I.
1994
The strong circular law. Twenty years later. II. Zbl 1065.60026
Girko, V. L.
2004
The circular law. Twenty years later. III. Zbl 1088.60020
Girko, V. L.
2005
One-dimensional semi-Markov evolutions with general Erlang sojourn times. Zbl 1116.60051
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
2005
An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. Zbl 0841.60047
Klopp, Frédéric
1995
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2011
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
2012
Sharp upper bound on the almost-sure exponential behavior of a stochastic parabolic partial differential equation. Zbl 0849.60062
Carmona, René; Viens, Frederi. G.; Molchanov, S. A.
1996
Simulation of Gaussian stochastic processes. Zbl 1051.60040
Kozachenko, Yuri; Rozora, Iryna
2003
Upper estimate of overrunning by $$\text{Sub}_{\varphi}(\Omega)$$ random process the level specified by continuous function. Zbl 1118.60025
Vasylyk, Olga; Kozachenko, Yuriy; Yamnenko, Rostyslav
2005
On an expansion of random processes in series. Zbl 1142.60349
Kozachenko, Yu. V.; Rozora, I. V.; Turchyn, Ye. V.
2007
On multidimensional stable processes with locally unbounded drift. Zbl 0832.60066
Podolynny, S. I.; Portenko, N. I.
1995
Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics. Zbl 1199.60342
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Lytvynov, Eugene W.
2007
Backward doubly stochastic differential equations with non-Lipschitz coefficients. Zbl 1199.60058
N’zi, Modeste; Owo, Jean-Marc
2008
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
2013
Jordan normal form for linear cocycles. Zbl 0971.37002
Arnold, Ludwig; Nguyen Dinh Cong; Oseledets, Valery
1999
Random fixed points of multivalued random operators with property (D). Zbl 1199.47238
2007
Optimality conditions of controlled backward doubly stochastic differential equations. Zbl 1226.93136
Bahlali, Seid; Gherbal, Boulakhras
2010
$$L^p$$-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
2013
The strong circular law. Twenty years later. I. Zbl 1088.60019
Girko, V. L.
2004
Random fixed point theorem for multivalued nonexpansive operators in uniformly nonsquare Banach spaces. Zbl 1119.47061
Kumam, Poom; Plubtieng, Somyot
2006
Asymptotic behavior of $$M$$-estimators in continuous time non-linear regression with long-range dependent errors. Zbl 1010.62022
Ivanov, A. V.; Leonenko, N. N.
2002
Markovian random evolution in $$R^{n}$$. Zbl 0976.60074
Samoilenko, I. V.
2001
The circular law: Ten years later. Zbl 0839.60038
Girko, V. L.
1994
Convex-valued random dynamical systems: A variational principle for equilibrium states. Zbl 0933.93063
Arnold, L.; Evstigneev, I. V.; Gundlach, V. M.
1999
$$L^p$$-solution of reflected generalized BSDEs with non-Lipschitz coefficients. Zbl 1224.60063
Aman, Auguste
2009
Common random fixed points for multivalued random operators without $$S$$- and $$T$$-weakly commuting random operators. Zbl 1221.47105
Sintunavarat, W.; Kumam, P.; Patthanangkoor, P.
2009
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
2010
Equivalence of gradients on configuration spaces. Zbl 0955.60068
Privault, Nicolas
1999
Stochastic non-resistive magnetohydrodynamic system with Lévy noise. Zbl 1372.76030
Manna, Utpal; Mohan, Manil T.; Sritharan, Sivaguru S.
2017
Random fixed point theorem in generalized Banach space and applications. Zbl 1380.47043
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
2016
Representations of multidimensional linear process bridges. Zbl 1391.60179
Barczy, Mátyás; Kern, Peter
2013
Strong, mild and weak solutions of backward stochastic evolution equations. Zbl 1119.60042
Al-Hussein, Abdul Rahman
2005
On the distribution of the moment of the first exit time from an interval and value of overjump through borders interval for the processes with independent increments and random walk. Zbl 1123.60064
2005
Fully coupled forward backward stochastic differential equations driven by Lévy processes and application to differential games. Zbl 1300.60073
Baghery, Fouzia; Khelfallah, Nabil; Mezerdi, Brahim; Turpin, Isabelle
2014
Reflected backward stochastic differential equation with jumps and locally Lipschitz coefficient. Zbl 1004.60059
Bahlali, Khaled; Essaky, El Hassan; Ouknine, Youssef
2002
On smoothed density of states for Wigner random matrices. Zbl 0929.60045
Khorunzhy, A.
1997
Likelihood procedure for testing change point hypothesis for multivariate Gaussian model. Zbl 0831.62020
Chen, Jie; Gupta, A. K.
1995
Asymptotic properties of the LSE in a regression model with long-memory Gaussian and non-Gaussian stationary errors. Zbl 0849.62049
Leonenko, N. N.; Šilac-Benšić, M.
1996
Matrix variate Kummer-gamma distribution. Zbl 0980.15019
Nagar, Daya K.; Gardeño, Liliam
2001
Wick calculus for regular generalized stochastic functionals. Zbl 0955.60066
Grothaus, M.; Kondratiev, Yu. G.; Us, G. F.
1999
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient. Zbl 1412.60096
Marzougue, Mohamed; El Otmani, Mohamed
2019
Random block matrix density and ss-law. Zbl 0959.60054
Girko, V. L.
2000
Quantum white noise convolution operators with application to differential equations. Zbl 1329.60241
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh
2014
Strong uniform consistency of a nonparametric estimator of a conditional quantile for censored dependent data and functional regressors. Zbl 1348.62169
Horrigue, Walid; Ould Saïd, Elias
2011
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
2011
On random equations and applications to random fixed point theorems. Zbl 1226.60094
Thang, Dang H.; Anh, Ta N.
2010
Two-dimensional stochastic Navier-Stokes equations with fractional Brownian noise. Zbl 1271.60072
Fang, Liqun; Sundar, P.; Viens, Frederi G.
2013
A note on the Itô formula of stochastic integrals in Banach spaces. Zbl 1118.60050
Hausenblas, Krika
2006
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
2005
Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations. Zbl 1293.35371
Diop, Mamadou Abdou; Ezzinbi, Khalil; Lo, Modou
2014
Asymptotic behavior of spectral functions of empirical covariance matrices. Zbl 0827.62050
Girko, V. L.; Gupta, A. K.
1994
Wigner’s semicircle law for band random matrices. Zbl 0839.60027
Casati, G.; Girko, V.
1993
Weak solutions and a Yamada-Watanabe theorem for FBSDEs. Zbl 1199.60199
Bahlali, K.; Mezerdi, B.; N’zi, M.; Ouknine, Y.
2007
High moments of large Wigner random matrices and asymptotic properties of the spectral norm. Zbl 1270.15025
Khorunzhiy, Oleksiy
2012
Backward parabolic Ito equations and the second fundamental inequality. Zbl 1273.60075
Dokuchaev, Nikolai
2012
Reflected backward doubly stochastic differential equations with discontinuous generator. Zbl 1284.60113
Aman, Auguste; Owo, Jean Marc
2012
The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem. Zbl 1263.93235
2012
Existence and optimality conditions in stochastic control of linear BSDEs. Zbl 1226.49016
Bahlali, Khaled; Gherbal, Boulakhrass; Mezerdi, Brahim
2010
Extrapolation of multidimensional stationary processes. Zbl 1117.62100
Moklyachuk, Mikhail P.; Masyutka, Aleksandr Yu.
2006
Necessary and sufficient conditions of optimality for optimal control problem with initial and terminal costs. Zbl 1113.93105
Bahlali, Seid; Labed, Boubakeur
2006
Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101
Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun
2017
Extended proof of the statement: “Convergence rate of the expected spectral functions of symmetric random matrices $$\Sigma_n$$ is equal to $$O(n^{-1/2})$$” and the method of critical steepest descent. Zbl 1010.62041
Girko, V. L.
2002
On estimation of regression coefficients of long memory random fields observed on the arrays. Zbl 0921.62124
Leonenko, N. N.; Benšić, M.
1998
Backward stochastic differential equations with jumps involving a subdifferential operator. Zbl 0973.60070
N’zi, M.; Ouknine, Y.
2000
Boundary-value problems for equations of mathematical physics with strictly Orlicz random initial conditions. Zbl 0836.35165
de la Krus, E. Barrasa; Kozachenko, Yu. V.
1995
Moments of the number of solutions of a system of random Boolean equations. Zbl 0842.60009
Masol, V. I.
1993
Spectral properties of the scaling limit solutions of the Burgers’ equation with singular data. Zbl 0866.35147
Leonenko, N. N.; Parkhomenko, V. N.; Woyczynski, W. A.
1996
Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace. Zbl 1051.60045
Rapoport, Diego L.
2003
Convergence rate of the expected spectral functions of symmetric random matrices is equal to $$O(n^{-1/2})$$. Zbl 0912.60004
Girko, V. L.
1998
Semicircle law for random matrices of long-range percolation model. Zbl 1224.15069
2009
Some procedures for extending random operators. Zbl 1224.60166
Thang, Dang Hung; Cuong, Tran Manh
2009
Duality and semi-group property for backward parabolic Itô equations. Zbl 1224.60192
Dokuchaev, Nikolai
2010
Berry-Esseen bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion. Zbl 1335.60017
Aazizi, Soufiane; Es-Sebaiy, Khalifa
2016
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
2000
Two-boundary problems for semi-Markov walk with a linear drift. Zbl 1199.60142
2007
Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion. Zbl 1198.62081
Prakasa Rao, B. L. S.
2008
Transforming random operators into random bounded operators. Zbl 1199.60195
Thang, Dang Hung
2008
BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1266.60099
Al-Hussein, AbdulRahman
2011
Almost sure asymptotic stability and convergence of stochastic theta methods applied to systems of linear SDEs in $$\mathbb R^d$$. Zbl 1268.65009
Schurz, Henri
2011
Semi-linear diffusion in $$\mathbb R^D$$ and in Hilbert spaces, a Feynman-Wiener path integral study. Zbl 1302.35421
Botelho, Luiz C. L.
2011
Matrix variate extended skew normal distributions. Zbl 1349.62183
Ning, Wei; Gupta, Arjun K.
2012
Random fixed points of completely random operators. Zbl 1270.60072
Thang, Dang Hung; Anh, Pham The
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
2012
Boundary-value problem for a nonhomogeneous parabolic equation with Orlicz right side. Zbl 1226.35089
Kozachenko, Yu. V.; Veresh, K. J.
2010
Parametric estimation for linear stochastic differential equations driven by sub-fractional Brownian motion. Zbl 06815262
Prakasa Rao, B. L. S.
2017
A note on Feynman-Kac path integral representations for scalar wave motions. Zbl 1276.35113
Botelho, Luiz C. L.
2013
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
2013
VICTORIA transform, RESPECT and REFORM methods for the proof of the $$G$$-elliptic law under $$G$$-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices. Zbl 1447.60020
Girko, Vyacheslav L.
2020
An optimal control of a risk-sensitive problem for backward doubly stochastic differential equations with applications. Zbl 1433.93155
2020
BSDE with rcll reflecting barrier driven by a Lévy process. Zbl 1457.60089
El Jamali, Mohamed; El Otmani, Mohamed
2020
Predictable solution for reflected BSDEs when the obstacle is not right-continuous. Zbl 1457.60090
Marzougue, Mohamed; El Otmani, Mohamed
2020
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient. Zbl 1412.60096
Marzougue, Mohamed; El Otmani, Mohamed
2019
Continuous distributions whose functions preserve tails of an $$A$$-continued fraction representation of numbers. Zbl 1442.11114
Pratsiovytyi, Mykola; Chuikov, Artem
2019
Existence theory of fractional coupled differential equations via $$\Psi$$-Hilfer fractional derivative. Zbl 1442.34014
Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy
2019
RAP-method (random perturbation method) for finding $$S$$-minimax control vectors and parameter estimates for some linear systems with random coefficients. Zbl 1433.65059
Vladimirova, A. I.; Girko, Vyacheslav L.; Shevchuk, L. D.
2019
Wegner estimate for discrete Schrödinger operators with Gaussian random potentials. Zbl 1416.82019
Tautenhahn, Martin
2019
A general maximum principle for mean-field forward-backward doubly stochastic differential equations with jumps processes. Zbl 1414.93202
2019
The limit $$G$$-law for the solutions of systems of linear algebraic equations with independent random coefficients under the $$G$$-Lindeberg condition. Zbl 1423.15003
Girko, Vyacheslav L.
2019
On the limiting spectral density of random matrices filled with stochastic processes. Zbl 1447.60026
Löwe, Matthias; Schubert, Kristina
2019
From the first rigorous proof of the circular law in 1984 to the circular law for block random matrices under the generalized Lindeberg condition. Zbl 1388.15032
Girko, Vyacheslav L.
2018
The method of perpendiculars of finding estimates from below for minimal singular eigenvalues of random matrices. Zbl 1390.15029
Girko, Vyacheslav L.
2018
Backward doubly SDEs with continuous and stochastic linear growth coefficients. Zbl 1401.60116
Owo, Jean Marc
2018
The inverse tangent law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Linderberg’s condition. Zbl 1393.15005
Girko, Vyacheslav L.; Shevchuk, Larissa D.
2018
Some deterministic and random fixed point theorems on a graph. Zbl 07000597
Nieto, Juan J.; Ouahab, Abdelghani; Rodríguez-López, Rosana
2018
Stochastic non-resistive magnetohydrodynamic system with Lévy noise. Zbl 1372.76030
Manna, Utpal; Mohan, Manil T.; Sritharan, Sivaguru S.
2017
Itô formula for mild solutions of SPDEs with Gaussian and non-Gaussian noise and applications to stability properties. Zbl 1370.60101
Albeverio, Sergio; Gawarecki, Leszek; Mandrekar, Vidyadhar; Rüdiger, Barbara; Sarkar, Barun
2017
Parametric estimation for linear stochastic differential equations driven by sub-fractional Brownian motion. Zbl 06815262
Prakasa Rao, B. L. S.
2017
Smoothness of Malliavin derivatives and dissipativity of solutions to two-dimensional micropolar fluid system. Zbl 1375.35412
Yamazaki, Kazuo
2017
Wave equation with a coloured stable noise. Zbl 1386.60224
Pryhara, Larysa; Shevchenko, Georgiy
2017
New exact solutions for the Wick-type stochastic Zakharov-Kuznetsov equation for modelling waves on shallow water surfaces. Zbl 1365.60061
Saha Ray, S.; Singh, S.
2017
Deterministic and stochastic stability of an SIRS epidemic model with a saturated incidence rate. Zbl 1358.92093
N&rsquo;zi, Modeste; Tano, Jacques
2017
$$\gamma$$-product of white noise space and applications. Zbl 1391.46049
Horrigue, Samah
2017
Random fixed point theorem in generalized Banach space and applications. Zbl 1380.47043
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
2016
Berry-Esseen bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion. Zbl 1335.60017
Aazizi, Soufiane; Es-Sebaiy, Khalifa
2016
Numerical study of stochastic Volterra-Fredholm integral equations by using second kind Chebyshev wavelets. Zbl 1338.60173
2016
Canonical equations $$K_{62}$$, $$K_{63}$$, $$K_{64}$$ and $$K_{65}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$, the upturned stools law, the upturned stool without seat law and doughnut law density. Zbl 1334.15095
Girko, Vyacheslav L.
2016
Quadratic forms of refined skew normal models based on stochastic representation. Zbl 1375.60051
Tian, Weizhong; Wang, Tonghui
2016
Exponential stability for stochastic neutral functional differential equations driven by Rosenblatt process with delay and Poisson jumps. Zbl 1338.60159
Lakhel, El Hassan
2016
On the functional Hodrick-Prescott filter with non-compact operators. Zbl 1332.62114
Djehiche, Boualem; Hilbert, Astrid; Nassar, Hiba
2016
Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate. Zbl 1360.92112
N&rsquo;zi, Modeste; Kanga, Gérard
2016
Tightness in Besov-Orlicz spaces: characterizations and applications. Zbl 1355.46029
Aissa, Sghir
2016
One-dimensional stochastic equations in layered media with semi-permeable barriers. Zbl 1347.60071
Makhno, Sergei Y.
2016
Time varying axially symmetric vector random fields on the sphere. Zbl 1353.60048
Ma, Chunsheng
2016
Stability of fractional neutral stochastic partial integro-differential equations. Zbl 1351.60076
Xu, Liping; Li, Zhi
2016
A decomposition approach for the discrete-time approximation of FBSDEs with a jump. Zbl 1318.65005
Kharroubi, Idris; Lim, Thomas
2015
On the law of the solution to a stochastic heat equation with fractional noise in time. Zbl 1327.60123
Bourguin, Solesne; Tudor, Ciprian A.
2015
30 years of general statistical analysis and canonical equation $$K_{60}$$ for Hermitian matrices $$(A+BUC)(A+BUC)^*$$, where $$U$$ is a random unitary matrix. Zbl 1329.15069
Girko, Vyacheslav L.
2015
Parametrix construction for certain Lévy-type processes. Zbl 1321.60150
Knopova, Victoria; Kulik, Alexei
2015
Large deviations for random evolutions with independent increments in the scheme of Lévy approximation with split and double merging. Zbl 1321.60052
Samoilenko, Igor V.
2015
Asymptotic behavior of the Bernoulli type Galton-Watson branching process with immigration. Zbl 1327.60169
Uchimura, Yoshinori; Saitô, Kimiaki
2015
The distribution of random motion with Erlang-3 sojourn times. Zbl 1328.60228
Kolomiiets, Tamila; Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
2015
New inequalities of Gronwall type for the stochastic differential equations. Zbl 1327.60116
Boudref, Mohamed-Ahmed; Berboucha, Ahmed
2015
On distribution of the norm of deviation of a sub-Gaussian random process in Orlicz spaces. Zbl 1327.60092
Yamnenko, Rostyslav E.
2015
Canonical equation $$K_{61}$$ for random non-Hermitian matrices $$A+B(U+\gamma H)C$$. Zbl 1329.15070
Girko, Vyacheslav L.
2015
Probabilistic representations of matrix variate skew normal models. Zbl 1310.62065
Ning, Wei
2015
Optimal control for stochastic differential delay equations with Poisson jumps and applications. Zbl 1307.93465
Shi, Jingtao
2015
On the rigorous ergodic theorem for a class of nonlinear Klein-Gordon wave propagations. Zbl 1307.35154
Botelho, Luiz C. L.
2015
Fully coupled forward backward stochastic differential equations driven by Lévy processes and application to differential games. Zbl 1300.60073
Baghery, Fouzia; Khelfallah, Nabil; Mezerdi, Brahim; Turpin, Isabelle
2014
Quantum white noise convolution operators with application to differential equations. Zbl 1329.60241
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh
2014
Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations. Zbl 1293.35371
Diop, Mamadou Abdou; Ezzinbi, Khalil; Lo, Modou
2014
Mixed sub-fractional Brownian motion. Zbl 1296.60095
Zili, Mounir
2014
Gegenbauer random fields. Zbl 1354.60041
Espejo, Rosa M.; Leonenko, Nikolai N.; Ruiz-Medina, María D.
2014
The Cauchy problem for the heat equation with a random right side. Zbl 1284.35205
Kozachenko, Yuriy V.; Slyvka-Tylyshchak, Anna I.
2014
Existence and stability of square-mean almost periodic solutions to a spatially extended neural network with impulsive noise. Zbl 1330.37072
Bonaccorsi, Stefano; Ziglio, Giacomo
2014
Stochastic controls of relaxed-singular problems. Zbl 1292.93146
2014
On fractional derivatives of the local time of a symmetric stable process as a doubly indexed process. Zbl 1297.60055
Ait Ouahra, Mohamed; Kissami, Abdelghani; Ouahhabi, Hanae
2014
Large deviation for multivalued backward stochastic differential equations. Zbl 1295.60035
N&rsquo;Zi, Modeste; Dakaou, Ibrahim
2014
Optimal control problems for linear backward doubly stochastic differential equations. Zbl 1320.49010
Gherbal, Boulakhras
2014
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
2013
$$L^p$$-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
2013
Representations of multidimensional linear process bridges. Zbl 1391.60179
Barczy, Mátyás; Kern, Peter
2013
Two-dimensional stochastic Navier-Stokes equations with fractional Brownian noise. Zbl 1271.60072
Fang, Liqun; Sundar, P.; Viens, Frederi G.
2013
A note on Feynman-Kac path integral representations for scalar wave motions. Zbl 1276.35113
Botelho, Luiz C. L.
2013
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
2013
Topological and metric properties of distributions of random variables represented by the alternating Lüroth series with independent elements. Zbl 1362.60005
Pratsiovytyi, Mykola; Khvorostina, Yuriy
2013
Parameter estimation of one-dimensional diffusion process by minimum Hellinger distance method. Zbl 1281.62177
N&rsquo;drin, Julien Apala; Hili, Ouagnina
2013
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
2012
High moments of large Wigner random matrices and asymptotic properties of the spectral norm. Zbl 1270.15025
Khorunzhiy, Oleksiy
2012
Backward parabolic Ito equations and the second fundamental inequality. Zbl 1273.60075
Dokuchaev, Nikolai
2012
Reflected backward doubly stochastic differential equations with discontinuous generator. Zbl 1284.60113
Aman, Auguste; Owo, Jean Marc
2012
The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem. Zbl 1263.93235
2012
Matrix variate extended skew normal distributions. Zbl 1349.62183
Ning, Wei; Gupta, Arjun K.
2012
Random fixed points of completely random operators. Zbl 1270.60072
Thang, Dang Hung; Anh, Pham The
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
2012
The elliptic law. Thirty years later. Zbl 1298.60015
Girko, Vyacheslav
2012
Random fixed point theorems for a finite family of asymptotically quasi-nonexpansive in the intermediate sense random operators. Zbl 1270.47051
Saluja, Gurucharan Singh; Nashine, Hemant Kumar
2012
Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063
Wu, Fuke; Mao, Xuerong; Kloeden, Peter E.
2011
Strong uniform consistency of a nonparametric estimator of a conditional quantile for censored dependent data and functional regressors. Zbl 1348.62169
Horrigue, Walid; Ould Saïd, Elias
2011
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
2011
BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1266.60099
Al-Hussein, AbdulRahman
2011
Almost sure asymptotic stability and convergence of stochastic theta methods applied to systems of linear SDEs in $$\mathbb R^d$$. Zbl 1268.65009
Schurz, Henri
2011
Semi-linear diffusion in $$\mathbb R^D$$ and in Hilbert spaces, a Feynman-Wiener path integral study. Zbl 1302.35421
Botelho, Luiz C. L.
2011
The rate of convergence of the Euler scheme to the solution of stochastic differential equations with nonhomogeneous coefficients and non-Lipschitz diffusion. Zbl 1280.60041
Mishura, Yuliya S.; Posashkova, Svitlana V.
2011
Rate of convergence of Euler approximations of solution to mixed stochastic differential equation involving Brownian motion and fractional Brownian motion. Zbl 1290.60069
Mishura, Yuliya S.; Shevchenko, Georgiy M.
2011
Erratum: BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1268.60081
Al-Hussein, AbdulRahman
2011
Central limit theorem associated with bilinear random fields. Zbl 1267.60022
Kharfouchi, Soumia; Kimouche, Karima
2011
Levy-Baxter theorems for one class of non-Gaussian stochastic processes. Zbl 1270.60043
Kozachenko, Yury V.; Kurchenko, Oleksandr
2011
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
2010
Optimality conditions of controlled backward doubly stochastic differential equations. Zbl 1226.93136
Bahlali, Seid; Gherbal, Boulakhras
2010
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
2010
On random equations and applications to random fixed point theorems. Zbl 1226.60094
Thang, Dang H.; Anh, Ta N.
2010
Existence and optimality conditions in stochastic control of linear BSDEs. Zbl 1226.49016
Bahlali, Khaled; Gherbal, Boulakhrass; Mezerdi, Brahim
2010
Duality and semi-group property for backward parabolic Itô equations. Zbl 1224.60192
Dokuchaev, Nikolai
2010
Boundary-value problem for a nonhomogeneous parabolic equation with Orlicz right side. Zbl 1226.35089
Kozachenko, Yu. V.; Veresh, K. J.
2010
Stochastic controls of backward systems. Zbl 1226.93135
Bahlali, Seid
2010
Use of the global implicit function theorem to induce singular conditional distributions on surfaces in $$n$$ dimensions. I. Zbl 1241.60004
Bamber, Donald; Goodman, Irwin R.; Gupta, Arjun K.; Nguyen, Hung Trung
2010
A method of integration for wave equation and some applications to wave physics. Zbl 1226.35053
Botelho, Luiz C. L.
2010
...and 212 more Documents
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#### Cited by 1,126 Authors

 23 Gupta, Arjun Kumar 22 Leonenko, Nikolai N. 20 Nadarajah, Saralees 17 Girko, Vyacheslav Leonidovich 17 Kozachenko, Yuriĭ Vasyl’ovych 14 Kondrat’yev, Yuriĭ Grygorovych 14 Veselić, Ivan 12 Albeverio, Sergio A. 11 Prakasa Rao, B. L. S. 11 Rodríguez-Dagnino, Ramón Martín 11 Tudor, Ciprian A. 10 Accardi, Luigi 10 Pogorui, Anatoliy A. 9 Klopp, Frédéric 9 Mezerdi, Brahim 9 Orsingher, Enzo 9 Sakhno, Lyudmyla Mykhaĭlivna 8 Bahlali, Khaled 8 Daletskii, Alexei 8 Finkelshteĭn, Dmitriĭ Leonidovich 8 Kumam, Poom 8 Russo, Francesco 7 Chala, Adel 7 Evstigneev, Igor V. 7 Kutoviy, Oleksandr V. 7 Rguigui, Hafedh 7 Yuan, Chenggui 6 Anh, Vo V. 6 Cranston, Michael Craig 6 Djehiche, Boualem 6 El Otmani, Mohamed 6 Fujikoshi, Yasunori 6 Marzougue, Mohamed 6 Olenko, Andriy Yakovych 6 Olivera, Christian 6 Rozora, Iryna V. 6 Scheutzow, Michael K. R. 6 Tikhomirov, Alexander Nikolaevich 6 Viens, Frederi G. 6 Wang, Feng-Yu 6 Withers, Christopher Stroude 5 Bao, Jianhai 5 De Gregorio, Alessandro 5 Dshalalow, Jewgeni H. 5 Götze, Friedrich W. 5 Hausenblas, Erika 5 He, Yukun 5 Lytvynov, Eugene W. 5 Molchanov, Stanislav Alekseevich 5 O’Rourke, Sean D. 5 Pratsiovytyi, Mykola 5 Privault, Nicolas 5 Shevchenko, Georgiy M. 5 Shutoh, Nobumichi 5 Tao, Terence 5 Tindel, Samy 5 Vu, Van H. 5 Yamnenko, Rostyslav E. 4 Al-Hussein, Abdulrahman 4 Barhoumi, Abdessatar 4 Bishwal, Jaya P. N. 4 Borisov, Denis Ivanovich 4 Chafaï, Djalil 4 Dokuchaev, Nikolai G. 4 El-Bassiouny, Ahmed H. 4 Grzywny, Tomasz 4 Hafayed, Mokhtar 4 Huang, Hong 4 Ivanov, Aleksandr Vladimirovich 4 Kadankov, Viktor F. 4 Kadankova, Tetyana 4 Khelfallah, Nabil 4 Kirsch, Werner 4 Knopova, Victoria Pavlovna 4 Knowles, Antti 4 Kotz, Samuel 4 Manna, Utpal 4 Mao, Xuerong 4 Martinucci, Barbara 4 Mishura, Yuliya Stepanivna 4 Mukherjee, Debopriya 4 Owo, Jean-Marc 4 Ratanov, Nikita 4 Ruiz-Medina, María Dolores 4 Schenk-Hoppé, Klaus Reiner 4 Serdobolskii, Vadim I. 4 Vasylyk, Ol’ga I. 4 Wang, Xiangrong 4 Zhang, Xicheng 3 Abbas, Syed 3 Aman, Auguste 3 Arashi, Mohammad 3 Arslan, Olcay 3 Bahlali, Seid 3 Bamber, Donald 3 Beghin, Luisa 3 Bekker, Andriëtte 3 Bodnar, Taras 3 Bolivar, A. O. 3 Bordenave, Charles ...and 1,026 more Authors
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#### Cited in 266 Journals

 64 Random Operators and Stochastic Equations 39 Stochastic Processes and their Applications 29 Theory of Probability and Mathematical Statistics 28 Statistics & Probability Letters 26 Stochastic Analysis and Applications 23 Journal of Theoretical Probability 21 Journal of Statistical Physics 18 Journal of Mathematical Analysis and Applications 18 Journal of Multivariate Analysis 18 Probability Theory and Related Fields 17 Communications in Statistics. Theory and Methods 16 The Annals of Probability 16 Journal of Functional Analysis 15 Journal of Statistical Planning and Inference 13 Stochastics and Dynamics 12 Statistics 11 Communications in Mathematical Physics 11 Applied Mathematics and Computation 11 Journal of Differential Equations 10 Modern Stochastics. Theory and Applications 8 Journal of Mathematical Physics 8 The Annals of Applied Probability 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Stochastics 7 Ukrainian Mathematical Journal 7 Journal of Applied Probability 7 Journal of Computational and Applied Mathematics 7 Cybernetics and Systems Analysis 7 Journal of Mathematical Sciences (New York) 7 Bernoulli 7 Brazilian Journal of Probability and Statistics 6 Lithuanian Mathematical Journal 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Potential Analysis 6 Monte Carlo Methods and Applications 6 Discrete and Continuous Dynamical Systems 5 Reports on Mathematical Physics 5 Applied Mathematics and Optimization 5 Abstract and Applied Analysis 5 Acta Mathematica Sinica. English Series 5 Methodology and Computing in Applied Probability 5 Stochastic Models 5 Afrika Matematika 4 Computers & Mathematics with Applications 4 Letters in Mathematical Physics 4 Advances in Mathematics 4 Duke Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Physica D 4 Sequential Analysis 4 NoDEA. Nonlinear Differential Equations and Applications 4 Electronic Journal of Probability 4 Mathematical Problems in Engineering 4 Mathematical Physics, Analysis and Geometry 4 Annales Henri Poincaré 4 Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Fixed Point Theory and Applications 4 International Journal of Stochastic Analysis 4 Communications in Mathematics and Statistics 4 Carpathian Mathematical Publications 3 Advances in Applied Probability 3 Reviews in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Journal of Geometry and Physics 3 Annals of the Institute of Statistical Mathematics 3 Proceedings of the American Mathematical Society 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Numerical Algorithms 3 Journal of Statistical Computation and Simulation 3 Linear Algebra and its Applications 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Statistical Papers 3 Annales Mathématiques Blaise Pascal 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 International Journal of Theoretical and Applied Finance 3 Statistical Inference for Stochastic Processes 3 Central European Journal of Mathematics 3 Foundations of Physics 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Sankhyā. Series A 3 Stochastic and Partial Differential Equations. Analysis and Computations 3 Evolution Equations and Control Theory 2 International Journal of Control 2 International Journal of Theoretical Physics 2 Mathematical Notes 2 Theoretical and Mathematical Physics 2 Theory of Probability and its Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Statistics 2 Automatica 2 Functional Analysis and its Applications 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Systems & Control Letters ...and 166 more Journals
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#### Cited in 49 Fields

 690 Probability theory and stochastic processes (60-XX) 195 Statistics (62-XX) 141 Partial differential equations (35-XX) 88 Operator theory (47-XX) 83 Linear and multilinear algebra; matrix theory (15-XX) 81 Statistical mechanics, structure of matter (82-XX) 64 Systems theory; control (93-XX) 54 Numerical analysis (65-XX) 43 Ordinary differential equations (34-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 40 Quantum theory (81-XX) 37 Dynamical systems and ergodic theory (37-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Functional analysis (46-XX) 25 Fluid mechanics (76-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Special functions (33-XX) 16 Real functions (26-XX) 15 General topology (54-XX) 12 Measure and integration (28-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 8 Number theory (11-XX) 8 Approximations and expansions (41-XX) 8 Operations research, mathematical programming (90-XX) 7 Combinatorics (05-XX) 7 Information and communication theory, circuits (94-XX) 6 Potential theory (31-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Geophysics (86-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)