Edit Profile (opens in new tab) Gorostiza, Luis G. Compute Distance To: Compute Author ID: gorostiza.luis-g Published as: Gorostiza, Luis G.; Gorostiza, L. G.; Gorostiza, Luis; Gorostiza, L. Documents Indexed: 121 Publications since 1972, including 1 Book 8 Contributions as Editor Reviewing Activity: 121 Reviews Co-Authors: 32 Co-Authors with 97 Joint Publications 574 Co-Co-Authors all top 5 Co-Authors 32 single-authored 31 Bojdecki, Tomasz 16 Dawson, Donald Andrew 14 Talarczyk, Anna 12 Wakolbinger, Anton 6 López-Mimbela, José Alfredo 5 León, Jorge A. 4 Fernández, Begoña Fernández 4 Garzón, Johanna 4 Moncayo, Alberto Ruiz 3 Caballero, María Emilia 3 Griego, Richard J. 3 Li, Zenghu 3 Rodrigues, Eliane Regina 3 Roelly, Sylvie 2 Nualart, David 1 Aguilar-Ortiz, Jaime 1 Díaz-Francés, Eloísa 1 Fleischmann, Klaus 1 Fleming, Wendell Helms 1 García-Máynez y Cervantes, Adalberto 1 González-Barrios, José María 1 Hochberg, Kenneth J. 1 Ivanoff, B. Gail 1 Ize, Jorge 1 Kaplan, Norman L. 1 Mendoza, Manuel 1 Navarro, Reyla A. 1 Porter, R. Michael 1 Rebolledo Berroeta, Rolando 1 Roelly-Coppoletta, Sylvie 1 Takane, Martha 1 Todorova, Ekaterina all top 5 Serials 8 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 8 Stochastic Processes and their Applications 6 The Annals of Probability 6 Statistics & Probability Letters 5 Acta Applicandae Mathematicae 5 Journal of Theoretical Probability 4 Potential Analysis 4 Electronic Journal of Probability 4 Aportaciones Matemáticas. Notas de Investigación 3 Stochastics 3 Mathematische Nachrichten 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Miscelánea Matemática 2 Advances in Applied Probability 2 Canadian Journal of Mathematics 2 Journal of Applied Probability 2 Journal of Functional Analysis 2 Journal of Multivariate Analysis 2 Probability Theory and Related Fields 2 Electronic Communications in Probability 2 Bernoulli 2 Communications on Stochastic Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Journal of Mathematics of Kyoto University 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications 1 Mathematical and Computer Modelling 1 Indagationes Mathematicae. New Series 1 Random & Computational Dynamics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Bulletin of the American Mathematical Society 1 Aportaciones Matemáticas. Comunicaciones 1 CMS Conference Proceedings 1 Lecture Notes in Control and Information Sciences 1 Aportaciones Matemáticas: Investigación all top 5 Fields 124 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Functional analysis (46-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Partial differential equations (35-XX) 3 Operator theory (47-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 792 times in 341 Documents Cited by ▼ Year ▼ Sub-fractional Brownian motion and its relation to occupation times. Zbl 1076.60027Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 91 2004 Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence. Zbl 1082.60024Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 48 2006 Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Zbl 1128.60025Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 46 2007 Langevin equations for S’-valued Gaussian processes and fluctuation limits of infinite particle systems. Zbl 0595.60096Bojdecki, Tomasz; Gorostiza, Luis G. 28 1986 Convergence of \({\mathcal S}'\)-valued processes and space-time random fields. Zbl 0589.46027Bojdecki, T.; Gorostiza, L. G.; Ramaswamy, S. 26 1986 Persistence criteria for a class of critical branching particle systems in continuous time. Zbl 0732.60093Gorostiza, Luis G.; Wakolbinger, Anton 25 1991 Fractional Brownian density process and its self-intersection local time of order \(k\). Zbl 1074.60047Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 24 2004 Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions. Zbl 1089.60021Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 24 2006 Occupation time fluctuations in branching systems. Zbl 0991.60095Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 23 2001 High density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0519.60085Gorostiza, Luis G. 23 1983 Nonlocal branching superprocesses and some related models. Zbl 1014.60052Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu 22 2002 A long range dependence stable process and an infinite variance branching system. Zbl 1121.60028Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 21 2007 Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048Dawson, Donald A.; Gorostiza, Luis G. 20 1990 Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G. 17 1989 Occupation time fluctuations of an infinite-variance branching system in large dimensions. Zbl 1193.60048Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 17 2007 Occupation time limits of inhomogeneous Poisson systems of independent particles. Zbl 1139.60316Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 15 2008 The multitype measure branching process. Zbl 0711.60084Gorostiza, Luis G.; Lopez-Mimbela, José A. 13 1990 Schrödinger processes and large deviations. Zbl 0736.60071Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A. 12 1990 Self-similar stable processes arising from high-density limits of occupation times of particle systems. Zbl 1143.60314Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 12 2008 The central limit theorem for random motions of d-dimensional Euclidean space. Zbl 0263.60010Gorostiza, Luis G. 12 1973 Rate of convergence of uniform transport processes to Brownian motion and application to stochastic integrals. Zbl 0444.60025Gorostiza, Luis G.; Griego, Richard J. 12 1980 Persistence of critical multitype particle and measure branching processes. Zbl 0767.60090Gorostiza, L. G.; Roelly, S.; Wakolbinger, A. 11 1992 Inhomogeneous infinite dimensional Langevin equations. Zbl 0637.60076Bojdecki, Tomasz; Gorostiza, Luis G. 10 1988 *-solutions of evolution equations in Hilbert space. Zbl 0613.34048Dawson, D. A.; Gorostiza, L. G. 9 1987 A strong uniform approximation of fractional Brownian motion by means of transport processes. Zbl 1205.60063Garzón, J.; Gorostiza, L. G.; León, J. A. 9 2009 Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 8 2005 Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0428.60071Gorostiza, Luis G. 8 1980 Sur la persistance du processus de Dawson-Watanabe stable. L’interversion de la limite en temps et de la renormalisation. (On the persistence of the stable Dawson-Watanabe process. Interchange of the time limit and of the renormalization). Zbl 0702.60052Gorostiza, L. G.; Roelly-Coppoletta, S.; Wakolbinger, A. 7 1990 Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples. Zbl 0853.60035Bojdecki, Tomasz; Gorostiza, Luis G. 7 1995 Self-intersection local time for \(S^1(\mathbb R^d)\)-Wiener processes and related Ornstein-Uhlenbeck processes. Zbl 1043.60508Bojdecki, Tomasz; Gorostiza, Luis G. 7 1999 Fractional Brownian motion via fractional Laplacian. Zbl 0941.60067Bojdecki, Tomasz; Gorostiza, Luis G. 7 1999 Gaussian and non-Gaussian distribution-valued Ornstein-Uhlenbeck processes. Zbl 0753.60037Bojdecki, Tomasz; Gorostiza, Luis G. 6 1991 Limit theorems for supercritical branching random fields. Zbl 0553.60073Dawson, Donald A.; Gorostiza, Luis G. 6 1984 Long time behavior of critical branching particle systems and applications. Zbl 0811.60068Gorostiza, Luis G.; Wakolbinger, Anton 6 1994 A strong approximation of subfractional Brownian motion by means of transport processes. Zbl 1285.60039Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A. 6 2013 Particle systems with quasi-homogeneous initial states and their occupation time fluctuations. Zbl 1226.60048Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 6 2010 Strong approximation of diffusion processes by transport processes. Zbl 0408.60075Gorostiza, Luis G.; Griego, Richard J. 6 1979 Hierarchical equilibria of branching populations. Zbl 1076.60073Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 6 2004 Percolation in a hierarchical random graph. Zbl 1328.60210Dawson, D. A.; Gorostiza, L. G. 6 2007 Approximations of fractional stochastic differential equations by means of transport processes. Zbl 1331.60064Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A. 6 2011 Percolation in an ultrametric space. Zbl 1282.05196Dawson, Donald A.; Gorostiza, Luis G. 5 2013 From intersection local time to the Rosenblatt process. Zbl 1346.60135Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 5 2015 Persistence of a critical super-2 process. Zbl 0826.60078Gorostiza, Luis G.; Hochberg, Kenneth J.; Wakolbinger, Anton 5 1995 Oscillatory fractional Brownian motion. Zbl 1311.60043Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 4 2013 Stability of a class of transformations of distribution-valued processes and stochastic evolution equations. Zbl 0762.60053Fernández, Begoña; Gorostiza, Luis G. 4 1992 Number variance for hierarchical random walks and related fluctuations. Zbl 1244.60047Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 4 2011 The demographic variation process of branching random fields. Zbl 0657.60051Gorostiza, Luis G. 4 1988 Self-intersection local time for some \({\mathcal S}'(\mathbb{R}^d)\)-Ornstein-Uhlenbeck processes related to inhomogeneous fields. Zbl 0988.60072Bojdecki, Tomasz; Gorostiza, Luis G. 4 2001 Fluctuation limits of measure-valued immigration processes with small branching. Zbl 0967.60090Gorostiza, Luis G.; Li, Zeng-Hu 4 1998 Asymptotic fluctuations and critical dimension for a two-level branching system. Zbl 0870.60087Gorostiza, Luis G. 4 1996 A stochastic model for transport of particulate matter in air: an asymptotic analysis. Zbl 0960.60073Gorostiza, Luis G.; Rodrigues, Eliane R. 4 1999 High-density fluctuations of immigration branching particle systems. Zbl 0956.60088Gorostiza, Luis G.; Li, Zeng-Hu 4 2000 Hierarchical random walks. Zbl 1068.60071Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 4 2004 Some long-range dependence processes arising from fluctuations of particle systems. Zbl 1067.60013Gorostiza, Luis G.; Navarro, Reyla; Rodrigues, Eliane R. 4 2005 Some properties of the multitype measure branching process. Zbl 0732.60094Gorostiza, Luis G.; Roelly, Sylvie 4 1991 A criterion of convergence of generalized processes and an application to a supercritical branching particle system. Zbl 0757.60021Fernández, Begoña; Gorostiza, Luis G. 3 1991 Convergence to equilibrium of critical branching particle systems and superprocesses, and related nonlinear partial differential equations. Zbl 0768.60041Gorostiza, Luis G.; Wakolbinger, Anton 3 1992 Nuclear Gelfand triples on Wiener space and applications to trajectorial fluctuations of particle systems. Zbl 0855.47015Gorostiza, Luis G.; Nualart, David 3 1994 Self-intersection local time on \({\mathcal S}'(\mathbb R^d)\)-valued process involving motions of two types. Zbl 0962.60068Gorostiza, Luis G.; Todorova, Ekaterina 3 1999 Time-localization of random distributions on Wiener space. Zbl 0874.60042Bojdecki, Tomasz; Gorostiza, Luis G.; Nualart, David 3 1997 Limit theorems for supercritical branching random fields with immigration. Zbl 0637.60097Gorostiza, Luis G. 2 1988 The demographic variation process of multitype branching random fields. Zbl 0760.60035Gorostiza, Luis G.; Lopez-Mimbela, J. Alfredo 2 1992 Convergence of generalized semimartingales to a continuous process. Zbl 0797.60041Fernández, B.; Gorostiza, L. G. 2 1992 A measure valued process arising from a branching particle system with changes of mass. Zbl 0805.60044Gorostiza, Luis G. 2 1994 An occupation time approach for convergence of measure-valued processes, and the death process of a branching system. Zbl 0808.60075Gorostiza, L. G.; Lopez-Mimbela, J. A. 2 1994 A nuclear space of distributions on Wiener space and application to weak convergence. Zbl 0820.46043Bojdecki, T.; Gorostiza, L. G. 2 1994 Self-intersection local time for \(S'({\mathbb R}^d)\)-Ornstein-Uhlenbeck processes arising from immigration systems. Zbl 0996.60088Bojdecki, Tomasz; Gorostiza, Luis G. 2 2002 Time-localization of random distributions on Wiener space. II: Convergence, fractional Brownian density processes. Zbl 1005.60064Bojdecki, Tomasz; Gorostiza, Luis G. 2 2002 Distributions on Wiener space and fluctuation limits of Poisson systems of Brownian bridges. Zbl 0866.60034Gorostiza, Luis G. 2 1994 Transience and recurrence of random walks on percolation clusters in an ultrametric space. Zbl 1384.05139Dawson, D. A.; Gorostiza, L. G. 2 2018 Invariance principle for branching random motions. Zbl 0496.60085Gorostiza, Luis G.; Kaplan, Norman 2 1980 An invariance principle for a class of d-dimensional polygonal random functions. Zbl 0267.60109Gorostiza, Luis G. 2 1973 Convergence of transport processes with radially symmetric direction changes, and chain molecules. Zbl 0326.60118Gorostiza, Luis G. 2 1975 A note on the limits of branching processes. Zbl 0414.60077Gorostiza, Luis G. 2 1976 Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses. Zbl 1190.60080Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 2 2009 Hydrodynamic and fluctuation limits of branching particle systems with changes of mass. Zbl 0784.76004Fernández, Begoña; Gorostiza, Luis G. 1 1990 Correction to: Gigh density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0541.60085Gorostiza, Luis G. 1 1984 A random field approach to weak convergence of processes. Zbl 0786.60038Gorostiza, Luis G.; Rebolledo, Rolando 1 1993 Trajectorial fluctuations and time-localization of Cox systems of independent motions. Zbl 0999.60036Bojdecki, Tomasz; Gorostiza, Luis G. 1 2001 A note on a divergent series related to the Riemann zeta function. Zbl 1022.40001Gorostiza, Luis G. 1 2002 A nuclear space of distributions on a space of incomplete continuous functions. Zbl 0928.60031Aguilar-Ortiz, Jaime; Gorostiza, Luis G. 1 1998 Fluctuations of a two-level critical branching system. Zbl 0832.60083Gorostiza, Luis G. 1 1995 Self-intersection local time for Gaussian \({\mathcal S}'\)-processes, and application to fluctuation limits of branching particle systems. Zbl 0862.60032Bojdecki, Tomasz; Gorostiza, Luis G. 1 1996 Invariance principle for sums of independent random variables on a binary tree. Zbl 0336.60078Gorostiza, L. G.; Moncayo, A. R. 1 1974 Advances in filtering and optimal stochastic control. Proceedings of the IFIP-WG 7/1 Working Conference, Cocoyoc, Mexico, February 1-6, 1982. Zbl 0488.00026 1 1982 Limites gaussiennes pour les champs aléatoires ramifies supercritiques. Zbl 0519.60084Gorostiza, Luis G. 1 1981 Convergence of branching transport processes to branching Brownian motion. Zbl 0408.60086Gorostiza, Luis G.; Griego, Richard J. 1 1979 Erratum to: Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0438.60048Gorostiza, Luis G. 1 1980 Almost-sure invariance principle for branching Brownian motion. Zbl 0445.60068Gorostiza, L. G.; Moncayo, A. R. 1 1978 A stochastic model for transport of size-structured particulate matter subject to fragmentation. Zbl 1112.76084Gorostiza, L. G.; Porter, R. M.; Rodrigues, E. R. 1 2004 Space scaling limit theorems for infinite particle branching Brownian motions with immigration. Zbl 0562.60061Gorostiza, Luis G. 1 1985 Transience and recurrence of random walks on percolation clusters in an ultrametric space. Zbl 1384.05139Dawson, D. A.; Gorostiza, L. G. 2 2018 From intersection local time to the Rosenblatt process. Zbl 1346.60135Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 5 2015 A strong approximation of subfractional Brownian motion by means of transport processes. Zbl 1285.60039Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A. 6 2013 Percolation in an ultrametric space. Zbl 1282.05196Dawson, Donald A.; Gorostiza, Luis G. 5 2013 Oscillatory fractional Brownian motion. Zbl 1311.60043Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 4 2013 Approximations of fractional stochastic differential equations by means of transport processes. Zbl 1331.60064Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A. 6 2011 Number variance for hierarchical random walks and related fluctuations. Zbl 1244.60047Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 4 2011 Particle systems with quasi-homogeneous initial states and their occupation time fluctuations. Zbl 1226.60048Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 6 2010 A strong uniform approximation of fractional Brownian motion by means of transport processes. Zbl 1205.60063Garzón, J.; Gorostiza, L. G.; León, J. A. 9 2009 Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses. Zbl 1190.60080Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 2 2009 Occupation time limits of inhomogeneous Poisson systems of independent particles. Zbl 1139.60316Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 15 2008 Self-similar stable processes arising from high-density limits of occupation times of particle systems. Zbl 1143.60314Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 12 2008 Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Zbl 1128.60025Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 46 2007 A long range dependence stable process and an infinite variance branching system. Zbl 1121.60028Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 21 2007 Occupation time fluctuations of an infinite-variance branching system in large dimensions. Zbl 1193.60048Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 17 2007 Percolation in a hierarchical random graph. Zbl 1328.60210Dawson, D. A.; Gorostiza, L. G. 6 2007 Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence. Zbl 1082.60024Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 48 2006 Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions. Zbl 1089.60021Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 24 2006 Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 8 2005 Some long-range dependence processes arising from fluctuations of particle systems. Zbl 1067.60013Gorostiza, Luis G.; Navarro, Reyla; Rodrigues, Eliane R. 4 2005 Sub-fractional Brownian motion and its relation to occupation times. Zbl 1076.60027Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna 91 2004 Fractional Brownian density process and its self-intersection local time of order \(k\). Zbl 1074.60047Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A. 24 2004 Hierarchical equilibria of branching populations. Zbl 1076.60073Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 6 2004 Hierarchical random walks. Zbl 1068.60071Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 4 2004 A stochastic model for transport of size-structured particulate matter subject to fragmentation. Zbl 1112.76084Gorostiza, L. G.; Porter, R. M.; Rodrigues, E. R. 1 2004 Nonlocal branching superprocesses and some related models. Zbl 1014.60052Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu 22 2002 Self-intersection local time for \(S'({\mathbb R}^d)\)-Ornstein-Uhlenbeck processes arising from immigration systems. Zbl 0996.60088Bojdecki, Tomasz; Gorostiza, Luis G. 2 2002 Time-localization of random distributions on Wiener space. II: Convergence, fractional Brownian density processes. Zbl 1005.60064Bojdecki, Tomasz; Gorostiza, Luis G. 2 2002 A note on a divergent series related to the Riemann zeta function. Zbl 1022.40001Gorostiza, Luis G. 1 2002 Occupation time fluctuations in branching systems. Zbl 0991.60095Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A. 23 2001 Self-intersection local time for some \({\mathcal S}'(\mathbb{R}^d)\)-Ornstein-Uhlenbeck processes related to inhomogeneous fields. Zbl 0988.60072Bojdecki, Tomasz; Gorostiza, Luis G. 4 2001 Trajectorial fluctuations and time-localization of Cox systems of independent motions. Zbl 0999.60036Bojdecki, Tomasz; Gorostiza, Luis G. 1 2001 High-density fluctuations of immigration branching particle systems. Zbl 0956.60088Gorostiza, Luis G.; Li, Zeng-Hu 4 2000 Self-intersection local time for \(S^1(\mathbb R^d)\)-Wiener processes and related Ornstein-Uhlenbeck processes. Zbl 1043.60508Bojdecki, Tomasz; Gorostiza, Luis G. 7 1999 Fractional Brownian motion via fractional Laplacian. Zbl 0941.60067Bojdecki, Tomasz; Gorostiza, Luis G. 7 1999 A stochastic model for transport of particulate matter in air: an asymptotic analysis. Zbl 0960.60073Gorostiza, Luis G.; Rodrigues, Eliane R. 4 1999 Self-intersection local time on \({\mathcal S}'(\mathbb R^d)\)-valued process involving motions of two types. Zbl 0962.60068Gorostiza, Luis G.; Todorova, Ekaterina 3 1999 Fluctuation limits of measure-valued immigration processes with small branching. Zbl 0967.60090Gorostiza, Luis G.; Li, Zeng-Hu 4 1998 A nuclear space of distributions on a space of incomplete continuous functions. Zbl 0928.60031Aguilar-Ortiz, Jaime; Gorostiza, Luis G. 1 1998 Time-localization of random distributions on Wiener space. Zbl 0874.60042Bojdecki, Tomasz; Gorostiza, Luis G.; Nualart, David 3 1997 Asymptotic fluctuations and critical dimension for a two-level branching system. Zbl 0870.60087Gorostiza, Luis G. 4 1996 Self-intersection local time for Gaussian \({\mathcal S}'\)-processes, and application to fluctuation limits of branching particle systems. Zbl 0862.60032Bojdecki, Tomasz; Gorostiza, Luis G. 1 1996 Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples. Zbl 0853.60035Bojdecki, Tomasz; Gorostiza, Luis G. 7 1995 Persistence of a critical super-2 process. Zbl 0826.60078Gorostiza, Luis G.; Hochberg, Kenneth J.; Wakolbinger, Anton 5 1995 Fluctuations of a two-level critical branching system. Zbl 0832.60083Gorostiza, Luis G. 1 1995 Long time behavior of critical branching particle systems and applications. Zbl 0811.60068Gorostiza, Luis G.; Wakolbinger, Anton 6 1994 Nuclear Gelfand triples on Wiener space and applications to trajectorial fluctuations of particle systems. Zbl 0855.47015Gorostiza, Luis G.; Nualart, David 3 1994 A measure valued process arising from a branching particle system with changes of mass. Zbl 0805.60044Gorostiza, Luis G. 2 1994 An occupation time approach for convergence of measure-valued processes, and the death process of a branching system. Zbl 0808.60075Gorostiza, L. G.; Lopez-Mimbela, J. A. 2 1994 A nuclear space of distributions on Wiener space and application to weak convergence. Zbl 0820.46043Bojdecki, T.; Gorostiza, L. G. 2 1994 Distributions on Wiener space and fluctuation limits of Poisson systems of Brownian bridges. Zbl 0866.60034Gorostiza, Luis G. 2 1994 A random field approach to weak convergence of processes. Zbl 0786.60038Gorostiza, Luis G.; Rebolledo, Rolando 1 1993 Persistence of critical multitype particle and measure branching processes. Zbl 0767.60090Gorostiza, L. G.; Roelly, S.; Wakolbinger, A. 11 1992 Stability of a class of transformations of distribution-valued processes and stochastic evolution equations. Zbl 0762.60053Fernández, Begoña; Gorostiza, Luis G. 4 1992 Convergence to equilibrium of critical branching particle systems and superprocesses, and related nonlinear partial differential equations. Zbl 0768.60041Gorostiza, Luis G.; Wakolbinger, Anton 3 1992 The demographic variation process of multitype branching random fields. Zbl 0760.60035Gorostiza, Luis G.; Lopez-Mimbela, J. Alfredo 2 1992 Convergence of generalized semimartingales to a continuous process. Zbl 0797.60041Fernández, B.; Gorostiza, L. G. 2 1992 Persistence criteria for a class of critical branching particle systems in continuous time. Zbl 0732.60093Gorostiza, Luis G.; Wakolbinger, Anton 25 1991 Gaussian and non-Gaussian distribution-valued Ornstein-Uhlenbeck processes. Zbl 0753.60037Bojdecki, Tomasz; Gorostiza, Luis G. 6 1991 Some properties of the multitype measure branching process. Zbl 0732.60094Gorostiza, Luis G.; Roelly, Sylvie 4 1991 A criterion of convergence of generalized processes and an application to a supercritical branching particle system. Zbl 0757.60021Fernández, Begoña; Gorostiza, Luis G. 3 1991 Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048Dawson, Donald A.; Gorostiza, Luis G. 20 1990 The multitype measure branching process. Zbl 0711.60084Gorostiza, Luis G.; Lopez-Mimbela, José A. 13 1990 Schrödinger processes and large deviations. Zbl 0736.60071Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A. 12 1990 Sur la persistance du processus de Dawson-Watanabe stable. L’interversion de la limite en temps et de la renormalisation. (On the persistence of the stable Dawson-Watanabe process. Interchange of the time limit and of the renormalization). Zbl 0702.60052Gorostiza, L. G.; Roelly-Coppoletta, S.; Wakolbinger, A. 7 1990 Hydrodynamic and fluctuation limits of branching particle systems with changes of mass. Zbl 0784.76004Fernández, Begoña; Gorostiza, Luis G. 1 1990 Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G. 17 1989 Inhomogeneous infinite dimensional Langevin equations. Zbl 0637.60076Bojdecki, Tomasz; Gorostiza, Luis G. 10 1988 The demographic variation process of branching random fields. Zbl 0657.60051Gorostiza, Luis G. 4 1988 Limit theorems for supercritical branching random fields with immigration. Zbl 0637.60097Gorostiza, Luis G. 2 1988 *-solutions of evolution equations in Hilbert space. Zbl 0613.34048Dawson, D. A.; Gorostiza, L. G. 9 1987 Langevin equations for S’-valued Gaussian processes and fluctuation limits of infinite particle systems. Zbl 0595.60096Bojdecki, Tomasz; Gorostiza, Luis G. 28 1986 Convergence of \({\mathcal S}'\)-valued processes and space-time random fields. Zbl 0589.46027Bojdecki, T.; Gorostiza, L. G.; Ramaswamy, S. 26 1986 Space scaling limit theorems for infinite particle branching Brownian motions with immigration. Zbl 0562.60061Gorostiza, Luis G. 1 1985 Limit theorems for supercritical branching random fields. Zbl 0553.60073Dawson, Donald A.; Gorostiza, Luis G. 6 1984 Correction to: Gigh density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0541.60085Gorostiza, Luis G. 1 1984 High density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0519.60085Gorostiza, Luis G. 23 1983 Advances in filtering and optimal stochastic control. Proceedings of the IFIP-WG 7/1 Working Conference, Cocoyoc, Mexico, February 1-6, 1982. Zbl 0488.00026 1 1982 Limites gaussiennes pour les champs aléatoires ramifies supercritiques. Zbl 0519.60084Gorostiza, Luis G. 1 1981 Rate of convergence of uniform transport processes to Brownian motion and application to stochastic integrals. Zbl 0444.60025Gorostiza, Luis G.; Griego, Richard J. 12 1980 Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0428.60071Gorostiza, Luis G. 8 1980 Invariance principle for branching random motions. Zbl 0496.60085Gorostiza, Luis G.; Kaplan, Norman 2 1980 Erratum to: Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0438.60048Gorostiza, Luis G. 1 1980 Strong approximation of diffusion processes by transport processes. Zbl 0408.60075Gorostiza, Luis G.; Griego, Richard J. 6 1979 Convergence of branching transport processes to branching Brownian motion. Zbl 0408.60086Gorostiza, Luis G.; Griego, Richard J. 1 1979 Almost-sure invariance principle for branching Brownian motion. Zbl 0445.60068Gorostiza, L. G.; Moncayo, A. R. 1 1978 A note on the limits of branching processes. Zbl 0414.60077Gorostiza, Luis G. 2 1976 Convergence of transport processes with radially symmetric direction changes, and chain molecules. Zbl 0326.60118Gorostiza, Luis G. 2 1975 Invariance principle for sums of independent random variables on a binary tree. Zbl 0336.60078Gorostiza, L. G.; Moncayo, A. R. 1 1974 The central limit theorem for random motions of d-dimensional Euclidean space. Zbl 0263.60010Gorostiza, Luis G. 12 1973 An invariance principle for a class of d-dimensional polygonal random functions. Zbl 0267.60109Gorostiza, Luis G. 2 1973 all cited Publications top 5 cited Publications all top 5 Cited by 360 Authors 38 Gorostiza, Luis G. 23 Bojdecki, Tomasz 18 Talarczyk, Anna 13 Yan, Litan 10 Shen, Guangjun 9 Dawson, Donald Andrew 9 Tudor, Constantin 7 Hong, Wenming 7 Li, Yuqiang 7 Li, Zenghu 7 Prakasa Rao, B. L. S. 6 Greven, Andreas 6 Wakolbinger, Anton 5 Jakubowski, Jacek 5 León, Jorge A. 5 Liu, Junfeng 5 Ren, Yanxia 4 Bardina, Xavier 4 den Hollander, Frank 4 Fleischmann, Klaus 4 López-Mimbela, José Alfredo 4 Mishura, Yuliya Stepanivna 4 Nualart, David 4 Rovira, Carles 4 Song, Renming 4 Zhang, Mei 3 Athreya, Siva R. 3 Baldi, Paolo 3 Beznea, Lucian 3 Cang, Yuquan 3 Chen, Chao 3 Fernández, Begoña Fernández 3 Fonseca-Mora, Christian A. 3 Gonçalves, Patrícia C. 3 Harnett, Daniel 3 Kotelenez, Peter M. 3 Kuang, Nenghui 3 Kubilius, Kȩstutis 3 Miłoś, Piotr 3 Norvaiša, Rimas 3 Pavon, Michele 3 Pérez-Abreu Carrión, Víctor M. 3 Rodrigues, Eliane Regina 3 Roelly, Sylvie 3 Shang, Yilun 3 Swart, Jan M. 3 Torres, Soledad 3 Treszczotko, Łukasz 2 Aebi, Robert 2 Araya, Héctor 2 Ayache, Antoine 2 Bansaye, Vincent 2 Bernardin, Cédric 2 Birkner, Matthias 2 Bouchentouf, Amina Angelika 2 Chen, Qin 2 Chen, Yongxin 2 Conforti, Giovanni 2 Cox, J. Theodore 2 Dębicki, Krzysztof 2 Delmas, Jean-François 2 Es-Sebaiy, Khalifa 2 Garzón, Johanna 2 Gonçalves, Daniel 2 Grincevičius, A. K. 2 Hernández, Janko 2 Hochberg, Kenneth J. 2 Horváth, Lajos 2 Jara, Milton D. 2 Kallenberg, Olav 2 Klenke, Achim 2 Liu, Bingquan 2 Lu, Hong 2 Lu, Shujuan 2 Lupaşcu, Oana 2 Malukas, Raimondas 2 Mendy, Ibrahima 2 Nguyen, Giang Thu 2 Olivares, Pablo 2 Peng, Zhihang 2 Peralta, Oscar 2 Ralchenko, Kostiantyn V. 2 Rouault, Alain 2 Royer, Danilo 2 Schaumlöffel, Kay-Uwe 2 Sghir, Aissa 2 Sun, Hongyan 2 Sun, Xichao 2 Tang, Donglei 2 Tran, Viet Chi 2 Tudor, Ciprian A. 2 Tudor, Maria 2 Vatutin, Vladimir Alekseevich 2 Vrabie, Cătălin Ioan 2 Wachtel, Vitali I. 2 Wang, Zhi 2 Winter, Anita 2 Xiang, Kai-Nan 2 Xiao, Yimin 2 Zähle, Iljana ...and 260 more Authors all top 5 Cited in 117 Serials 36 Stochastic Processes and their Applications 20 Stochastic Analysis and Applications 19 Statistics & Probability Letters 15 The Annals of Probability 14 Journal of Theoretical Probability 12 Journal of Mathematical Analysis and Applications 11 Probability Theory and Related Fields 11 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Acta Applicandae Mathematicae 6 Journal of Multivariate Analysis 6 Random Operators and Stochastic Equations 5 Lithuanian Mathematical Journal 5 Communications in Statistics. 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Theory and Applications 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Physica A 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Stochastics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. 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Second Series 1 Statistical Inference for Stochastic Processes 1 Methodology and Computing in Applied Probability ...and 17 more Serials all top 5 Cited in 32 Fields 319 Probability theory and stochastic processes (60-XX) 29 Statistics (62-XX) 18 Partial differential equations (35-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Biology and other natural sciences (92-XX) 8 Functional analysis (46-XX) 7 Combinatorics (05-XX) 7 Operator theory (47-XX) 6 Numerical analysis (65-XX) 6 Systems theory; control (93-XX) 5 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year