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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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...and 11 more Volumes
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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 490 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 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 Topological groups, Lie groups (22-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)

Publications by Year

Citations contained in zbMATH Open

310 Publications have been cited 1,158 times in 938 Documents Cited by Year
Some skew-symmetric models. Zbl 1118.60300
Gupta, A. K.; Chang, F. C.; Huang, W. J.
41
2002
Localization for random perturbations of periodic Schrödinger operators. Zbl 0927.60067
Kirsch, Werner; Stollmann, Peter; Stolz, Günter
29
1998
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
26
2010
Asymptotic distribution of smoothed eigenvalue density. II. Wigner random matrices. Zbl 0952.60064
Boutet de Monvel, A.; Khorunzhy, A.
21
1999
Stochastic partial differential equations driven by Lévy space-time white noise. Zbl 0972.60048
Applebaum, David; Wu, Jiang-Lun
21
2000
Parametric estimation for linear stochastic differential equations driven by fractional Brownian motion. Zbl 1053.62089
Prakasa Rao, B. L. S.
21
2003
Asymptotic distribution of smoothed eigenvalue density. I. Gaussian random matrices. Zbl 0936.15021
Boutet de Monvel, A.; Khorunzhy, A.
19
1999
Some SDEs with distributional drift. II: Lyons-Zheng structure, Itô’s formula and semimartingale characterization. Zbl 1088.60058
Flandoli, Franco; Russo, Francesco; Wolf, Jochen
19
2004
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
16
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
16
2001
The stochastic maximum principle in optimal control of singular diffusions with nonlinear coefficients. Zbl 1101.93080
Bahlali, Seid; Chala, Adel
16
2005
Some perturbations of drift-type for symmetric stable processes. Zbl 0839.60056
Portenko, N. I.
15
1994
Motions with reflecting and absorbing barriers driven by the telegraph equation. Zbl 0822.60073
Orsingher, E.
14
1995
The strong circular law. Twenty years later. II. Zbl 1065.60026
Girko, V. L.
14
2004
An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder. Zbl 0841.60047
Klopp, Frédéric
11
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.
11
2011
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
11
2012
One-dimensional semi-Markov evolutions with general Erlang sojourn times. Zbl 1116.60051
Pogorui, A. A.; Rodríguez-Dagnino, Ramón M.
11
2005
The circular law. Twenty years later. III. Zbl 1088.60020
Girko, V. L.
11
2005
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.
10
1996
Simulation of Gaussian stochastic processes. Zbl 1051.60040
Kozachenko, Yuri; Rozora, Iryna
10
2003
On multidimensional stable processes with locally unbounded drift. Zbl 0832.60066
Podolynny, S. I.; Portenko, N. I.
9
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.
9
2007
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
9
2005
On an expansion of random processes in series. Zbl 1142.60349
Kozachenko, Yu. V.; Rozora, I. V.; Turchyn, Ye. V.
9
2007
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
8
2013
Random fixed points of multivalued random operators with property (D). Zbl 1199.47238
Kumam, Wiyada; Kumam, Poom
8
2007
Backward doubly stochastic differential equations with non-Lipschitz coefficients. Zbl 1199.60058
N’zi, Modeste; Owo, Jean-Marc
8
2008
Jordan normal form for linear cocycles. Zbl 0971.37002
Arnold, Ludwig; Nguyen Dinh Cong; Oseledets, Valery
8
1999
Optimality conditions of controlled backward doubly stochastic differential equations. Zbl 1226.93136
Bahlali, Seid; Gherbal, Boulakhras
8
2010
Convex-valued random dynamical systems: A variational principle for equilibrium states. Zbl 0933.93063
Arnold, L.; Evstigneev, I. V.; Gundlach, V. M.
7
1999
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.
7
2009
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
7
2010
Random fixed point theorem in generalized Banach space and applications. Zbl 1380.47043
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
7
2016
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.
7
2002
Markovian random evolution in \(R^{n}\). Zbl 0976.60074
Samoilenko, I. V.
7
2001
Equivalence of gradients on configuration spaces. Zbl 0955.60068
Privault, Nicolas
7
1999
Stochastic non-resistive magnetohydrodynamic system with Lévy noise. Zbl 1372.76030
Manna, Utpal; Mohan, Manil T.; Sritharan, Sivaguru S.
7
2017
Random fixed point theorem for multivalued nonexpansive operators in uniformly nonsquare Banach spaces. Zbl 1119.47061
Kumam, Poom; Plubtieng, Somyot
7
2006
The strong circular law. Twenty years later. I. Zbl 1088.60019
Girko, V. L.
7
2004
\(L^p\)-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
7
2013
Representations of multidimensional linear process bridges. Zbl 1391.60179
Barczy, Mátyás; Kern, Peter
7
2013
Likelihood procedure for testing change point hypothesis for multivariate Gaussian model. Zbl 0831.62020
Chen, Jie; Gupta, A. K.
6
1995
The circular law: Ten years later. Zbl 0839.60038
Girko, V. L.
6
1994
On smoothed density of states for Wigner random matrices. Zbl 0929.60045
Khorunzhy, A.
6
1997
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.
6
1996
\(L^p\)-solution of reflected generalized BSDEs with non-Lipschitz coefficients. Zbl 1224.60063
Aman, Auguste
6
2009
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
6
2011
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
6
2011
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
6
2014
Quantum white noise convolution operators with application to differential equations. Zbl 1329.60241
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh
6
2014
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient. Zbl 1412.60096
Marzougue, Mohamed; El Otmani, Mohamed
6
2019
Reflected backward stochastic differential equation with jumps and locally Lipschitz coefficient. Zbl 1004.60059
Bahlali, Khaled; Essaky, El Hassan; Ouknine, Youssef
6
2002
Wick calculus for regular generalized stochastic functionals. Zbl 0955.60066
Grothaus, M.; Kondratiev, Yu. G.; Us, G. F.
6
1999
Random block matrix density and ss-law. Zbl 0959.60054
Girko, V. L.
6
2000
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
Kadankov, V. F.; Kadankova, T. V.
6
2005
Two-dimensional stochastic Navier-Stokes equations with fractional Brownian noise. Zbl 1271.60072
Fang, Liqun; Sundar, P.; Viens, Frederi G.
6
2013
On random equations and applications to random fixed point theorems. Zbl 1226.60094
Thang, Dang H.; Anh, Ta N.
6
2010
Asymptotic behavior of spectral functions of empirical covariance matrices. Zbl 0827.62050
Girko, V. L.; Gupta, A. K.
5
1994
Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations. Zbl 1293.35371
Diop, Mamadou Abdou; Ezzinbi, Khalil; Lo, Modou
5
2014
High moments of large Wigner random matrices and asymptotic properties of the spectral norm. Zbl 1270.15025
Khorunzhiy, Oleksiy
5
2012
Backward parabolic Ito equations and the second fundamental inequality. Zbl 1273.60075
Dokuchaev, Nikolai
5
2012
Reflected backward doubly stochastic differential equations with discontinuous generator. Zbl 1284.60113
Aman, Auguste; Owo, Jean Marc
5
2012
The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem. Zbl 1263.93235
Chala, Adel
5
2012
Weak solutions and a Yamada-Watanabe theorem for FBSDEs. Zbl 1199.60199
Bahlali, K.; Mezerdi, B.; N’zi, M.; Ouknine, Y.
5
2007
A note on the Itô formula of stochastic integrals in Banach spaces. Zbl 1118.60050
Hausenblas, Krika
5
2006
Strong, mild and weak solutions of backward stochastic evolution equations. Zbl 1119.60042
Al-Hussein, Abdul Rahman
5
2005
White noise approach to stochastic integration. Zbl 1119.60038
Accardi, Luigi; Ayed, Wided; Ouerdiane, Habib
5
2005
Existence and optimality conditions in stochastic control of linear BSDEs. Zbl 1226.49016
Bahlali, Khaled; Gherbal, Boulakhrass; Mezerdi, Brahim
5
2010
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.
4
1995
Wigner’s semicircle law for band random matrices. Zbl 0839.60027
Casati, G.; Girko, V.
4
1993
Moments of the number of solutions of a system of random Boolean equations. Zbl 0842.60009
Masol, V. I.
4
1993
Convergence rate of the expected spectral functions of symmetric random matrices is equal to \(O(n^{-1/2})\). Zbl 0912.60004
Girko, V. L.
4
1998
Matrix variate Kummer-gamma distribution. Zbl 0980.15019
Nagar, Daya K.; Gardeño, Liliam
4
2001
On estimation of regression coefficients of long memory random fields observed on the arrays. Zbl 0921.62124
Leonenko, N. N.; Benšić, M.
4
1998
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.
4
1996
Semicircle law for random matrices of long-range percolation model. Zbl 1224.15069
Ayadi, S.
4
2009
Some procedures for extending random operators. Zbl 1224.60166
Thang, Dang Hung; Cuong, Tran Manh
4
2009
Duality and semi-group property for backward parabolic Itô equations. Zbl 1224.60192
Dokuchaev, Nikolai
4
2010
BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1266.60099
Al-Hussein, AbdulRahman
4
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
4
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.
4
2011
Matrix variate extended skew normal distributions. Zbl 1349.62183
Ning, Wei; Gupta, Arjun K.
4
2012
Random fixed points of completely random operators. Zbl 1270.60072
Thang, Dang Hung; Anh, Pham The
4
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
4
2012
Two-boundary problems for semi-Markov walk with a linear drift. Zbl 1199.60142
Kadankov, Victor; Kadankova, Tetyana
4
2007
Parametric estimation for linear stochastic delay differential equations driven by fractional Brownian motion. Zbl 1198.62081
Prakasa Rao, B. L. S.
4
2008
Transforming random operators into random bounded operators. Zbl 1199.60195
Thang, Dang Hung
4
2008
Berry-Esseen bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion. Zbl 1335.60017
Aazizi, Soufiane; Es-Sebaiy, Khalifa
4
2016
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.
4
2002
Backward stochastic differential equations with jumps involving a subdifferential operator. Zbl 0973.60070
N’zi, M.; Ouknine, Y.
4
2000
Gevrey regularity of random attractors for stochastic reaction-diffusion equations. Zbl 0959.60045
Chueshov, Igor D.
4
2000
Extrapolation of multidimensional stationary processes. Zbl 1117.62100
Moklyachuk, Mikhail P.; Masyutka, Aleksandr Yu.
4
2006
Necessary and sufficient conditions of optimality for optimal control problem with initial and terminal costs. Zbl 1113.93105
Bahlali, Seid; Labed, Boubakeur
4
2006
Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace. Zbl 1051.60045
Rapoport, Diego L.
4
2003
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
4
2013
A note on Feynman-Kac path integral representations for scalar wave motions. Zbl 1276.35113
Botelho, Luiz C. L.
4
2013
Boundary-value problem for a nonhomogeneous parabolic equation with Orlicz right side. Zbl 1226.35089
Kozachenko, Yu. V.; Veresh, K. J.
4
2010
Characterization of (non-symmetric) semi-Dirichlet forms associated with Hunt processes. Zbl 0833.60077
Albeverio, S.; Ma, Z. M.; Röckner, M.
3
1995
The elliptic law: Ten years later. I. Zbl 0831.60022
Girko, V. L.
3
1995
An optimal control of a risk-sensitive problem for backward doubly stochastic differential equations with applications. Zbl 1433.93155
Hafayed, Dahbia; Chala, Adel
1
2020
BSDE with rcll reflecting barrier driven by a Lévy process. Zbl 1457.60089
El Jamali, Mohamed; El Otmani, Mohamed
1
2020
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.
1
2020
Predictable solution for reflected BSDEs when the obstacle is not right-continuous. Zbl 1457.60090
Marzougue, Mohamed; El Otmani, Mohamed
1
2020
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient. Zbl 1412.60096
Marzougue, Mohamed; El Otmani, Mohamed
6
2019
Continuous distributions whose functions preserve tails of an \(A\)-continued fraction representation of numbers. Zbl 1442.11114
Pratsiovytyi, Mykola; Chuikov, Artem
2
2019
Existence theory of fractional coupled differential equations via \(\Psi\)-Hilfer fractional derivative. Zbl 1442.34014
Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy
2
2019
Wegner estimate for discrete Schrödinger operators with Gaussian random potentials. Zbl 1416.82019
Tautenhahn, Martin
1
2019
A general maximum principle for mean-field forward-backward doubly stochastic differential equations with jumps processes. Zbl 1414.93202
Hafayed, Dahbia; Chala, Adel
1
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.
1
2019
On the limiting spectral density of random matrices filled with stochastic processes. Zbl 1447.60026
Löwe, Matthias; Schubert, Kristina
1
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.
1
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.
2
2018
The method of perpendiculars of finding estimates from below for minimal singular eigenvalues of random matrices. Zbl 1390.15029
Girko, Vyacheslav L.
2
2018
Backward doubly SDEs with continuous and stochastic linear growth coefficients. Zbl 1401.60116
Owo, Jean Marc
1
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.
1
2018
Stochastic non-resistive magnetohydrodynamic system with Lévy noise. Zbl 1372.76030
Manna, Utpal; Mohan, Manil T.; Sritharan, Sivaguru S.
7
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
3
2017
Wave equation with a coloured stable noise. Zbl 1386.60224
Pryhara, Larysa; Shevchenko, Georgiy
3
2017
Smoothness of Malliavin derivatives and dissipativity of solutions to two-dimensional micropolar fluid system. Zbl 1375.35412
Yamazaki, Kazuo
3
2017
Deterministic and stochastic stability of an SIRS epidemic model with a saturated incidence rate. Zbl 1358.92093
N’zi, Modeste; Tano, Jacques
1
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.
1
2017
\(\gamma\)-product of white noise space and applications. Zbl 1391.46049
Horrigue, Samah
1
2017
Random fixed point theorem in generalized Banach space and applications. Zbl 1380.47043
Sinacer, Moulay Larbi; Nieto, Juan Jose; Ouahab, Abdelghani
7
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
4
2016
Numerical study of stochastic Volterra-Fredholm integral equations by using second kind Chebyshev wavelets. Zbl 1338.60173
Mohammadi, Fakhrodin; Adhami, Parastoo
3
2016
Quadratic forms of refined skew normal models based on stochastic representation. Zbl 1375.60051
Tian, Weizhong; Wang, Tonghui
2
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.
2
2016
Exponential stability for stochastic neutral functional differential equations driven by Rosenblatt process with delay and Poisson jumps. Zbl 1338.60159
Lakhel, El Hassan
2
2016
Time varying axially symmetric vector random fields on the sphere. Zbl 1353.60048
Ma, Chunsheng
1
2016
Stability of fractional neutral stochastic partial integro-differential equations. Zbl 1351.60076
Xu, Liping; Li, Zhi
1
2016
Tightness in Besov-Orlicz spaces: characterizations and applications. Zbl 1355.46029
Aissa, Sghir
1
2016
One-dimensional stochastic equations in layered media with semi-permeable barriers. Zbl 1347.60071
Makhno, Sergei Y.
1
2016
On the functional Hodrick-Prescott filter with non-compact operators. Zbl 1332.62114
Djehiche, Boualem; Hilbert, Astrid; Nassar, Hiba
1
2016
Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate. Zbl 1360.92112
N’zi, Modeste; Kanga, Gérard
1
2016
A decomposition approach for the discrete-time approximation of FBSDEs with a jump. Zbl 1318.65005
Kharroubi, Idris; Lim, Thomas
3
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.
3
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.
3
2015
Asymptotic behavior of the Bernoulli type Galton-Watson branching process with immigration. Zbl 1327.60169
Uchimura, Yoshinori; Saitô, Kimiaki
2
2015
Parametrix construction for certain Lévy-type processes. Zbl 1321.60150
Knopova, Victoria; Kulik, Alexei
2
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.
2
2015
Probabilistic representations of matrix variate skew normal models. Zbl 1310.62065
Ning, Wei
1
2015
Optimal control for stochastic differential delay equations with Poisson jumps and applications. Zbl 1307.93465
Shi, Jingtao
1
2015
On the rigorous ergodic theorem for a class of nonlinear Klein-Gordon wave propagations. Zbl 1307.35154
Botelho, Luiz C. L.
1
2015
The distribution of random motion with Erlang-3 sojourn times. Zbl 1328.60228
Kolomiiets, Tamila; Pogorui, Anatoliy A.; Rodríguez-Dagnino, Ramón M.
1
2015
New inequalities of Gronwall type for the stochastic differential equations. Zbl 1327.60116
Boudref, Mohamed-Ahmed; Berboucha, Ahmed
1
2015
On distribution of the norm of deviation of a sub-Gaussian random process in Orlicz spaces. Zbl 1327.60092
Yamnenko, Rostyslav E.
1
2015
Canonical equation \(K_{61}\) for random non-Hermitian matrices \(A+B(U+\gamma H)C\). Zbl 1329.15070
Girko, Vyacheslav L.
1
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
6
2014
Quantum white noise convolution operators with application to differential equations. Zbl 1329.60241
Barhoumi, Abdessatar; Lanconelli, Alberto; Rguigui, Hafedh
6
2014
Existence and exponential stability for some stochastic neutral partial functional integrodifferential equations. Zbl 1293.35371
Diop, Mamadou Abdou; Ezzinbi, Khalil; Lo, Modou
5
2014
Gegenbauer random fields. Zbl 1354.60041
Espejo, Rosa M.; Leonenko, Nikolai N.; Ruiz-Medina, María D.
2
2014
The Cauchy problem for the heat equation with a random right side. Zbl 1284.35205
Kozachenko, Yuriy V.; Slyvka-Tylyshchak, Anna I.
2
2014
Mixed sub-fractional Brownian motion. Zbl 1296.60095
Zili, Mounir
2
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
1
2014
Stochastic controls of relaxed-singular problems. Zbl 1292.93146
Chala, Adel; Bahlali, Seid
1
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
1
2014
Large deviation for multivalued backward stochastic differential equations. Zbl 1295.60035
N’Zi, Modeste; Dakaou, Ibrahim
1
2014
Optimal control problems for linear backward doubly stochastic differential equations. Zbl 1320.49010
Gherbal, Boulakhras
1
2014
Intrinsic small time estimates for distribution densities of Lévy processes. Zbl 1291.60095
Knopova, Victoria; Kulik, Alexei
8
2013
\(L^p\)-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
7
2013
Representations of multidimensional linear process bridges. Zbl 1391.60179
Barczy, Mátyás; Kern, Peter
7
2013
Two-dimensional stochastic Navier-Stokes equations with fractional Brownian noise. Zbl 1271.60072
Fang, Liqun; Sundar, P.; Viens, Frederi G.
6
2013
The generalized elliptic law. Zbl 1276.15018
Girko, Vyacheslav
4
2013
A note on Feynman-Kac path integral representations for scalar wave motions. Zbl 1276.35113
Botelho, Luiz C. L.
4
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
2
2013
Parameter estimation of one-dimensional diffusion process by minimum Hellinger distance method. Zbl 1281.62177
N’drin, Julien Apala; Hili, Ouagnina
1
2013
The circular law. Thirty years later. Zbl 1278.15041
Girko, Vyacheslav L.
11
2012
High moments of large Wigner random matrices and asymptotic properties of the spectral norm. Zbl 1270.15025
Khorunzhiy, Oleksiy
5
2012
Backward parabolic Ito equations and the second fundamental inequality. Zbl 1273.60075
Dokuchaev, Nikolai
5
2012
Reflected backward doubly stochastic differential equations with discontinuous generator. Zbl 1284.60113
Aman, Auguste; Owo, Jean Marc
5
2012
The relaxed optimal control problem of forward-backward stochastic doubly systems with Poisson jumps and its application to LQ problem. Zbl 1263.93235
Chala, Adel
5
2012
Matrix variate extended skew normal distributions. Zbl 1349.62183
Ning, Wei; Gupta, Arjun K.
4
2012
Random fixed points of completely random operators. Zbl 1270.60072
Thang, Dang Hung; Anh, Pham The
4
2012
The generalized circular law. Zbl 1278.15040
Girko, Vyacheslav
4
2012
The elliptic law. Thirty years later. Zbl 1298.60015
Girko, Vyacheslav
2
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
1
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.
11
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
6
2011
35 years of the inverse tangent law. Zbl 1268.60005
Girko, Vyacheslav
6
2011
BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1266.60099
Al-Hussein, AbdulRahman
4
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
4
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.
4
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.
3
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.
3
2011
Erratum: BSDEs driven by infinite dimensional martingales and their applications to stochastic optimal control. Zbl 1268.60081
Al-Hussein, AbdulRahman
2
2011
Central limit theorem associated with bilinear random fields. Zbl 1267.60022
Kharfouchi, Soumia; Kimouche, Karima
1
2011
Levy-Baxter theorems for one class of non-Gaussian stochastic processes. Zbl 1270.60043
Kozachenko, Yury V.; Kurchenko, Oleksandr
1
2011
Existence and uniqueness of solutions of stochastic functional differential equations. Zbl 1248.60067
von Renesse, Max-K.; Scheutzow, Michael
26
2010
Optimality conditions of controlled backward doubly stochastic differential equations. Zbl 1226.93136
Bahlali, Seid; Gherbal, Boulakhras
8
2010
A solvable model for homopolymers and self-similarity near the critical point. Zbl 1224.60247
Cranston, M.; Koralov, L.; Molchanov, S.; Vainberg, B.
7
2010
On random equations and applications to random fixed point theorems. Zbl 1226.60094
Thang, Dang H.; Anh, Ta N.
6
2010
Existence and optimality conditions in stochastic control of linear BSDEs. Zbl 1226.49016
Bahlali, Khaled; Gherbal, Boulakhrass; Mezerdi, Brahim
5
2010
Duality and semi-group property for backward parabolic Itô equations. Zbl 1224.60192
Dokuchaev, Nikolai
4
2010
Boundary-value problem for a nonhomogeneous parabolic equation with Orlicz right side. Zbl 1226.35089
Kozachenko, Yu. V.; Veresh, K. J.
4
2010
Stochastic controls of backward systems. Zbl 1226.93135
Bahlali, Seid
3
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
3
2010
A method of integration for wave equation and some applications to wave physics. Zbl 1226.35053
Botelho, Luiz C. L.
2
2010
L.I.F.E.: \(\prod^m_{j=1}H^{(j)}_n\sim \widetilde{\text{L.I.F.E.}}\sim\{H^{(1)}_n\}^m\) and Halloween Law. Zbl 1237.60008
Girko, Vyacheslav L.; Vladimirova, Anna I.
2
2010
Representation of infinite dimensional martingales. Zbl 1226.60062
Al-Hussein, Abdulrahman
1
2010
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Cited by 1,113 Authors

22 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 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 O’Rourke, Sean D.
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 Arslan, Olcay
3 Bahlali, Seid
3 Bamber, Donald
3 Beghin, Luisa
3 Bekker, Andriëtte
3 Bodnar, Taras
3 Bolivar, A. O.
3 Bordenave, Charles
3 Botelho, Luiz C. L.
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Cited in 261 Journals

64 Random Operators and Stochastic Equations
39 Stochastic Processes and their Applications
28 Statistics & Probability Letters
28 Theory of Probability and Mathematical Statistics
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 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 Journal of Mathematical Physics
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
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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
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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
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3 Statistical Papers
3 Annales Mathématiques Blaise Pascal
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
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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 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
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2 Statistical Science
2 Queueing Systems
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Cited in 48 Fields

682 Probability theory and stochastic processes (60-XX)
194 Statistics (62-XX)
138 Partial differential equations (35-XX)
87 Operator theory (47-XX)
82 Linear and multilinear algebra; matrix theory (15-XX)
81 Statistical mechanics, structure of matter (82-XX)
64 Systems theory; control (93-XX)
52 Numerical analysis (65-XX)
42 Ordinary differential equations (34-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
40 Quantum theory (81-XX)
38 Dynamical systems and ergodic theory (37-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Functional analysis (46-XX)
25 Fluid mechanics (76-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Real functions (26-XX)
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15 General topology (54-XX)
12 Measure and integration (28-XX)
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7 Information and communication theory, circuits (94-XX)
6 Combinatorics (05-XX)
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3 History and biography (01-XX)
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