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Gorostiza, Luis G.

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Author ID: gorostiza.luis-g Recent zbMATH articles by "Gorostiza, Luis G."
Published as: Gorostiza, L.; Gorostiza, L. G.; Gorostiza, Luis; Gorostiza, Luis G.
Documents Indexed: 129 Publications since 1972, including 9 Books
Reviewing Activity: 121 Reviews
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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 Lecture Notes in Control and Information Sciences
1 Aportaciones Matemáticas: Investigación

Publications by Year

Citations contained in zbMATH

92 Publications have been cited 746 times in 313 Documents Cited by Year
Sub-fractional Brownian motion and its relation to occupation times. Zbl 1076.60027
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
82
2004
Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence. Zbl 1082.60024
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
45
2006
Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Zbl 1128.60025
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
42
2007
Langevin equations for S’-valued Gaussian processes and fluctuation limits of infinite particle systems. Zbl 0595.60096
Bojdecki, Tomasz; Gorostiza, Luis G.
28
1986
Convergence of \({\mathcal S}'\)-valued processes and space-time random fields. Zbl 0589.46027
Bojdecki, T.; Gorostiza, L. G.; Ramaswamy, S.
26
1986
Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions. Zbl 1089.60021
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
24
2006
Fractional Brownian density process and its self-intersection local time of order \(k\). Zbl 1074.60047
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
24
2004
Persistence criteria for a class of critical branching particle systems in continuous time. Zbl 0732.60093
Gorostiza, Luis G.; Wakolbinger, Anton
24
1991
High density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0519.60085
Gorostiza, Luis G.
23
1983
Occupation time fluctuations in branching systems. Zbl 0991.60095
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
21
2001
Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048
Dawson, Donald A.; Gorostiza, Luis G.
21
1990
A long range dependence stable process and an infinite variance branching system. Zbl 1121.60028
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
19
2007
Nonlocal branching superprocesses and some related models. Zbl 1014.60052
Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu
17
2002
Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078
Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G.
17
1989
Occupation time fluctuations of an infinite-variance branching system in large dimensions. Zbl 1193.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
16
2007
Occupation time limits of inhomogeneous Poisson systems of independent particles. Zbl 1139.60316
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
15
2008
The multitype measure branching process. Zbl 0711.60084
Gorostiza, Luis G.; Lopez-Mimbela, José A.
13
1990
Self-similar stable processes arising from high-density limits of occupation times of particle systems. Zbl 1143.60314
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
12
2008
The central limit theorem for random motions of d-dimensional Euclidean space. Zbl 0263.60010
Gorostiza, Luis G.
12
1973
Persistence of critical multitype particle and measure branching processes. Zbl 0767.60090
Gorostiza, L. G.; Roelly, S.; Wakolbinger, A.
11
1992
Schrödinger processes and large deviations. Zbl 0736.60071
Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A.
10
1990
Inhomogeneous infinite dimensional Langevin equations. Zbl 0637.60076
Bojdecki, Tomasz; Gorostiza, Luis G.
10
1988
*-solutions of evolution equations in Hilbert space. Zbl 0613.34048
Dawson, D. A.; Gorostiza, L. G.
9
1987
Rate of convergence of uniform transport processes to Brownian motion and application to stochastic integrals. Zbl 0444.60025
Gorostiza, Luis G.; Griego, Richard J.
9
1980
Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
7
2005
Self-intersection local time for \(S^1(\mathbb R^d)\)-Wiener processes and related Ornstein-Uhlenbeck processes. Zbl 1043.60508
Bojdecki, Tomasz; Gorostiza, Luis G.
7
1999
Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples. Zbl 0853.60035
Bojdecki, Tomasz; Gorostiza, Luis G.
7
1995
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 0702.60052
Gorostiza, L. G.; Roelly-Coppoletta, S.; Wakolbinger, A.
7
1990
Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0428.60071
Gorostiza, Luis G.
7
1980
A strong uniform approximation of fractional Brownian motion by means of transport processes. Zbl 1205.60063
Garzón, J.; Gorostiza, L. G.; León, J. A.
6
2009
Percolation in a hierarchical random graph. Zbl 1328.60210
Dawson, D. A.; Gorostiza, L. G.
6
2007
Fractional Brownian motion via fractional Laplacian. Zbl 0941.60067
Bojdecki, Tomasz; Gorostiza, Luis G.
6
1999
Long time behavior of critical branching particle systems and applications. Zbl 0811.60068
Gorostiza, Luis G.; Wakolbinger, Anton
6
1994
Gaussian and non-Gaussian distribution-valued Ornstein-Uhlenbeck processes. Zbl 0753.60037
Bojdecki, Tomasz; Gorostiza, Luis G.
6
1991
Percolation in an ultrametric space. Zbl 1282.05196
Dawson, Donald A.; Gorostiza, Luis G.
5
2013
Particle systems with quasi-homogeneous initial states and their occupation time fluctuations. Zbl 1226.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
5
2010
Hierarchical equilibria of branching populations. Zbl 1076.60073
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
5
2004
Persistence of a critical super-2 process. Zbl 0826.60078
Gorostiza, Luis G.; Hochberg, Kenneth J.; Wakolbinger, Anton
5
1995
Limit theorems for supercritical branching random fields. Zbl 0553.60073
Dawson, Donald A.; Gorostiza, Luis G.
5
1984
Oscillatory fractional Brownian motion. Zbl 1311.60043
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
4
2013
A strong approximation of subfractional Brownian motion by means of transport processes. Zbl 1285.60039
Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A.
4
2013
Approximations of fractional stochastic differential equations by means of transport processes. Zbl 1331.60064
Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A.
4
2011
Number variance for hierarchical random walks and related fluctuations. Zbl 1244.60047
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
4
2011
Some long-range dependence processes arising from fluctuations of particle systems. Zbl 1067.60013
Gorostiza, Luis G.; Navarro, Reyla; Rodrigues, Eliane R.
4
2005
Self-intersection local time for some \({\mathcal S}'(\mathbb{R}^d)\)-Ornstein-Uhlenbeck processes related to inhomogeneous fields. Zbl 0988.60072
Bojdecki, Tomasz; Gorostiza, Luis G.
4
2001
High-density fluctuations of immigration branching particle systems. Zbl 0956.60088
Gorostiza, Luis G.; Li, Zeng-Hu
4
2000
A stochastic model for transport of particulate matter in air: an asymptotic analysis. Zbl 0960.60073
Gorostiza, Luis G.; Rodrigues, Eliane R.
4
1999
Fluctuation limits of measure-valued immigration processes with small branching. Zbl 0967.60090
Gorostiza, Luis G.; Li, Zeng-Hu
4
1998
Asymptotic fluctuations and critical dimension for a two-level branching system. Zbl 0870.60087
Gorostiza, Luis G.
4
1996
Stability of a class of transformations of distribution-valued processes and stochastic evolution equations. Zbl 0762.60053
Fernández, Begoña; Gorostiza, Luis G.
4
1992
Some properties of the multitype measure branching process. Zbl 0732.60094
Gorostiza, Luis G.; Roelly, Sylvie
4
1991
The demographic variation process of branching random fields. Zbl 0657.60051
Gorostiza, Luis G.
4
1988
From intersection local time to the Rosenblatt process. Zbl 1346.60135
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
3
2015
Hierarchical random walks. Zbl 1068.60071
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
3
2004
Time-localization of random distributions on Wiener space. II: Convergence, fractional Brownian density processes. Zbl 1005.60064
Bojdecki, Tomasz; Gorostiza, Luis G.
3
2002
Self-intersection local time on \({\mathcal S}'(\mathbb R^d)\)-valued process involving motions of two types. Zbl 0962.60068
Gorostiza, Luis G.; Todorova, Ekaterina
3
1999
Time-localization of random distributions on Wiener space. Zbl 0874.60042
Bojdecki, Tomasz; Gorostiza, Luis G.; Nualart, David
3
1997
Nuclear Gelfand triples on Wiener space and applications to trajectorial fluctuations of particle systems. Zbl 0855.47015
Gorostiza, Luis G.; Nualart, David
3
1994
Convergence to equilibrium of critical branching particle systems and superprocesses, and related nonlinear partial differential equations. Zbl 0768.60041
Gorostiza, Luis G.; Wakolbinger, Anton
3
1992
A criterion of convergence of generalized processes and an application to a supercritical branching particle system. Zbl 0757.60021
Fernández, Begoña; Gorostiza, Luis G.
3
1991
Space scaling limit theorems for infinite particle branching Brownian motions with immigration. Zbl 0562.60061
Gorostiza, Luis G.
3
1985
Strong approximation of diffusion processes by transport processes. Zbl 0408.60075
Gorostiza, Luis G.; Griego, Richard J.
3
1979
Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses. Zbl 1190.60080
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2
2009
Self-intersection local time for \(S'({\mathbb R}^d)\)-Ornstein-Uhlenbeck processes arising from immigration systems. Zbl 0996.60088
Bojdecki, Tomasz; Gorostiza, Luis G.
2
2002
Distributions on Wiener space and fluctuation limits of Poisson systems of Brownian bridges. Zbl 0866.60034
Gorostiza, Luis G.
2
1994
A nuclear space of distributions on Wiener space and application to weak convergence. Zbl 0820.46043
Bojdecki, T.; Gorostiza, L. G.
2
1994
An occupation time approach for convergence of measure-valued processes, and the death process of a branching system. Zbl 0808.60075
Gorostiza, L. G.; Lopez-Mimbela, J. A.
2
1994
A measure valued process arising from a branching particle system with changes of mass. Zbl 0805.60044
Gorostiza, Luis G.
2
1994
A convergence criterion for measure-valued processes, and application to continuous superprocesses. Zbl 0833.60054
Gorostiza, Luis G.; López-Mimbela, J. Alfredo
2
1993
Convergence of generalized semimartingales to a continuous process. Zbl 0797.60041
Fernández, B.; Gorostiza, L. G.
2
1992
The demographic variation process of multitype branching random fields. Zbl 0760.60035
Gorostiza, Luis G.; Lopez-Mimbela, J. Alfredo
2
1992
Limit theorems for supercritical branching random fields with immigration. Zbl 0637.60097
Gorostiza, Luis G.
2
1988
Invariance principle for branching random motions. Zbl 0496.60085
Gorostiza, Luis G.; Kaplan, Norman
2
1980
A note on the limits of branching processes. Zbl 0414.60077
Gorostiza, Luis G.
2
1976
Convergence of transport processes with radially symmetric direction changes, and chain molecules. Zbl 0326.60118
Gorostiza, Luis G.
2
1975
An invariance principle for a class of d-dimensional polygonal random functions. Zbl 0267.60109
Gorostiza, Luis G.
2
1973
Transience and recurrence of random walks on percolation clusters in an ultrametric space. Zbl 1384.05139
Dawson, D. A.; Gorostiza, L. G.
1
2018
A stochastic model for transport of size-structured particulate matter subject to fragmentation. Zbl 1112.76084
Gorostiza, L. G.; Porter, R. M.; Rodrigues, E. R.
1
2004
A note on a divergent series related to the Riemann zeta function. Zbl 1022.40001
Gorostiza, Luis G.
1
2002
Trajectorial fluctuations and time-localization of Cox systems of independent motions. Zbl 0999.60036
Bojdecki, Tomasz; Gorostiza, Luis G.
1
2001
Species accumulation functions and pure birth processes. Zbl 0991.92038
Gorostiza, L. G.; Díaz-Francés, E.
1
2001
Self-intersection local time for Gaussian \({\mathcal S}'\)-processes, and application to fluctuation limits of branching particle systems. Zbl 0862.60032
Bojdecki, Tomasz; Gorostiza, Luis G.
1
1996
Fluctuations of a two-level critical branching system. Zbl 0832.60083
Gorostiza, Luis G.
1
1995
A random field approach to weak convergence of processes. Zbl 0786.60038
Gorostiza, Luis G.; Rebolledo, Rolando
1
1993
Hydrodynamic and fluctuation limits of branching particle systems with changes of mass. Zbl 0784.76004
Fernández, Begoña; Gorostiza, Luis G.
1
1990
Correction to: Gigh density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0541.60085
Gorostiza, Luis G.
1
1984
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
Fleming, W. H. (ed.); Gorostiza, L. G. (ed.)
1
1982
Limites gaussiennes pour les champs aléatoires ramifies supercritiques. Zbl 0519.60084
Gorostiza, Luis G.
1
1981
Erratum to: Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0438.60048
Gorostiza, Luis G.
1
1980
Convergence of branching transport processes to branching Brownian motion. Zbl 0408.60086
Gorostiza, Luis G.; Griego, Richard J.
1
1979
Almost-sure invariance principle for branching Brownian motion. Zbl 0445.60068
Gorostiza, L. G.; Moncayo, A. R.
1
1978
Invariance principle for sums of independent random variables on a binary tree. Zbl 0336.60078
Gorostiza, L. G.; Moncayo, A. R.
1
1974
Transience and recurrence of random walks on percolation clusters in an ultrametric space. Zbl 1384.05139
Dawson, D. A.; Gorostiza, L. G.
1
2018
From intersection local time to the Rosenblatt process. Zbl 1346.60135
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
3
2015
Percolation in an ultrametric space. Zbl 1282.05196
Dawson, Donald A.; Gorostiza, Luis G.
5
2013
Oscillatory fractional Brownian motion. Zbl 1311.60043
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
4
2013
A strong approximation of subfractional Brownian motion by means of transport processes. Zbl 1285.60039
Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A.
4
2013
Approximations of fractional stochastic differential equations by means of transport processes. Zbl 1331.60064
Garzón, Johanna; Gorostiza, Luis G.; León, Jorge A.
4
2011
Number variance for hierarchical random walks and related fluctuations. Zbl 1244.60047
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
4
2011
Particle systems with quasi-homogeneous initial states and their occupation time fluctuations. Zbl 1226.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
5
2010
A strong uniform approximation of fractional Brownian motion by means of transport processes. Zbl 1205.60063
Garzón, J.; Gorostiza, L. G.; León, J. A.
6
2009
Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses. Zbl 1190.60080
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
2
2009
Occupation time limits of inhomogeneous Poisson systems of independent particles. Zbl 1139.60316
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
15
2008
Self-similar stable processes arising from high-density limits of occupation times of particle systems. Zbl 1143.60314
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
12
2008
Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems. Zbl 1128.60025
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
42
2007
A long range dependence stable process and an infinite variance branching system. Zbl 1121.60028
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
19
2007
Occupation time fluctuations of an infinite-variance branching system in large dimensions. Zbl 1193.60048
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
16
2007
Percolation in a hierarchical random graph. Zbl 1328.60210
Dawson, D. A.; Gorostiza, L. G.
6
2007
Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence. Zbl 1082.60024
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
45
2006
Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions. Zbl 1089.60021
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
24
2006
Degrees of transience and recurrence and hierarchical random walks. Zbl 1075.60043
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
7
2005
Some long-range dependence processes arising from fluctuations of particle systems. Zbl 1067.60013
Gorostiza, Luis G.; Navarro, Reyla; Rodrigues, Eliane R.
4
2005
Sub-fractional Brownian motion and its relation to occupation times. Zbl 1076.60027
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna
82
2004
Fractional Brownian density process and its self-intersection local time of order \(k\). Zbl 1074.60047
Bojdecki, T.; Gorostiza, L. G.; Talarczyk, A.
24
2004
Hierarchical equilibria of branching populations. Zbl 1076.60073
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
5
2004
Hierarchical random walks. Zbl 1068.60071
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
3
2004
A stochastic model for transport of size-structured particulate matter subject to fragmentation. Zbl 1112.76084
Gorostiza, L. G.; Porter, R. M.; Rodrigues, E. R.
1
2004
Nonlocal branching superprocesses and some related models. Zbl 1014.60052
Dawson, Donald A.; Gorostiza, Luis G.; Li, Zenghu
17
2002
Time-localization of random distributions on Wiener space. II: Convergence, fractional Brownian density processes. Zbl 1005.60064
Bojdecki, Tomasz; Gorostiza, Luis G.
3
2002
Self-intersection local time for \(S'({\mathbb R}^d)\)-Ornstein-Uhlenbeck processes arising from immigration systems. Zbl 0996.60088
Bojdecki, Tomasz; Gorostiza, Luis G.
2
2002
A note on a divergent series related to the Riemann zeta function. Zbl 1022.40001
Gorostiza, Luis G.
1
2002
Occupation time fluctuations in branching systems. Zbl 0991.60095
Dawson, D. A.; Gorostiza, L. G.; Wakolbinger, A.
21
2001
Self-intersection local time for some \({\mathcal S}'(\mathbb{R}^d)\)-Ornstein-Uhlenbeck processes related to inhomogeneous fields. Zbl 0988.60072
Bojdecki, Tomasz; Gorostiza, Luis G.
4
2001
Trajectorial fluctuations and time-localization of Cox systems of independent motions. Zbl 0999.60036
Bojdecki, Tomasz; Gorostiza, Luis G.
1
2001
Species accumulation functions and pure birth processes. Zbl 0991.92038
Gorostiza, L. G.; Díaz-Francés, E.
1
2001
High-density fluctuations of immigration branching particle systems. Zbl 0956.60088
Gorostiza, 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 1043.60508
Bojdecki, Tomasz; Gorostiza, Luis G.
7
1999
Fractional Brownian motion via fractional Laplacian. Zbl 0941.60067
Bojdecki, Tomasz; Gorostiza, Luis G.
6
1999
A stochastic model for transport of particulate matter in air: an asymptotic analysis. Zbl 0960.60073
Gorostiza, 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 0962.60068
Gorostiza, Luis G.; Todorova, Ekaterina
3
1999
Fluctuation limits of measure-valued immigration processes with small branching. Zbl 0967.60090
Gorostiza, Luis G.; Li, Zeng-Hu
4
1998
Time-localization of random distributions on Wiener space. Zbl 0874.60042
Bojdecki, Tomasz; Gorostiza, Luis G.; Nualart, David
3
1997
Asymptotic fluctuations and critical dimension for a two-level branching system. Zbl 0870.60087
Gorostiza, Luis G.
4
1996
Self-intersection local time for Gaussian \({\mathcal S}'\)-processes, and application to fluctuation limits of branching particle systems. Zbl 0862.60032
Bojdecki, Tomasz; Gorostiza, Luis G.
1
1996
Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples. Zbl 0853.60035
Bojdecki, Tomasz; Gorostiza, Luis G.
7
1995
Persistence of a critical super-2 process. Zbl 0826.60078
Gorostiza, Luis G.; Hochberg, Kenneth J.; Wakolbinger, Anton
5
1995
Fluctuations of a two-level critical branching system. Zbl 0832.60083
Gorostiza, Luis G.
1
1995
Long time behavior of critical branching particle systems and applications. Zbl 0811.60068
Gorostiza, Luis G.; Wakolbinger, Anton
6
1994
Nuclear Gelfand triples on Wiener space and applications to trajectorial fluctuations of particle systems. Zbl 0855.47015
Gorostiza, Luis G.; Nualart, David
3
1994
Distributions on Wiener space and fluctuation limits of Poisson systems of Brownian bridges. Zbl 0866.60034
Gorostiza, Luis G.
2
1994
A nuclear space of distributions on Wiener space and application to weak convergence. Zbl 0820.46043
Bojdecki, T.; Gorostiza, L. G.
2
1994
An occupation time approach for convergence of measure-valued processes, and the death process of a branching system. Zbl 0808.60075
Gorostiza, L. G.; Lopez-Mimbela, J. A.
2
1994
A measure valued process arising from a branching particle system with changes of mass. Zbl 0805.60044
Gorostiza, Luis G.
2
1994
A convergence criterion for measure-valued processes, and application to continuous superprocesses. Zbl 0833.60054
Gorostiza, Luis G.; López-Mimbela, J. Alfredo
2
1993
A random field approach to weak convergence of processes. Zbl 0786.60038
Gorostiza, Luis G.; Rebolledo, Rolando
1
1993
Persistence of critical multitype particle and measure branching processes. Zbl 0767.60090
Gorostiza, L. G.; Roelly, S.; Wakolbinger, A.
11
1992
Stability of a class of transformations of distribution-valued processes and stochastic evolution equations. Zbl 0762.60053
Fernández, Begoña; Gorostiza, Luis G.
4
1992
Convergence to equilibrium of critical branching particle systems and superprocesses, and related nonlinear partial differential equations. Zbl 0768.60041
Gorostiza, Luis G.; Wakolbinger, Anton
3
1992
Convergence of generalized semimartingales to a continuous process. Zbl 0797.60041
Fernández, B.; Gorostiza, L. G.
2
1992
The demographic variation process of multitype branching random fields. Zbl 0760.60035
Gorostiza, Luis G.; Lopez-Mimbela, J. Alfredo
2
1992
Persistence criteria for a class of critical branching particle systems in continuous time. Zbl 0732.60093
Gorostiza, Luis G.; Wakolbinger, Anton
24
1991
Gaussian and non-Gaussian distribution-valued Ornstein-Uhlenbeck processes. Zbl 0753.60037
Bojdecki, Tomasz; Gorostiza, Luis G.
6
1991
Some properties of the multitype measure branching process. Zbl 0732.60094
Gorostiza, Luis G.; Roelly, Sylvie
4
1991
A criterion of convergence of generalized processes and an application to a supercritical branching particle system. Zbl 0757.60021
Fernández, Begoña; Gorostiza, Luis G.
3
1991
Generalized solutions of a class of nuclear-space-valued stochastic evolution equations. Zbl 0714.60048
Dawson, Donald A.; Gorostiza, Luis G.
21
1990
The multitype measure branching process. Zbl 0711.60084
Gorostiza, Luis G.; Lopez-Mimbela, José A.
13
1990
Schrödinger processes and large deviations. Zbl 0736.60071
Dawson, Donald A.; Gorostiza, L.; Wakolbinger, A.
10
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 0702.60052
Gorostiza, L. G.; Roelly-Coppoletta, S.; Wakolbinger, A.
7
1990
Hydrodynamic and fluctuation limits of branching particle systems with changes of mass. Zbl 0784.76004
Fernández, Begoña; Gorostiza, Luis G.
1
1990
Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Zbl 0694.60078
Dawson, Donald A.; Fleischmann, Klaus; Gorostiza, Luis G.
17
1989
Inhomogeneous infinite dimensional Langevin equations. Zbl 0637.60076
Bojdecki, Tomasz; Gorostiza, Luis G.
10
1988
The demographic variation process of branching random fields. Zbl 0657.60051
Gorostiza, Luis G.
4
1988
Limit theorems for supercritical branching random fields with immigration. Zbl 0637.60097
Gorostiza, Luis G.
2
1988
*-solutions of evolution equations in Hilbert space. Zbl 0613.34048
Dawson, D. A.; Gorostiza, L. G.
9
1987
Langevin equations for S’-valued Gaussian processes and fluctuation limits of infinite particle systems. Zbl 0595.60096
Bojdecki, Tomasz; Gorostiza, Luis G.
28
1986
Convergence of \({\mathcal S}'\)-valued processes and space-time random fields. Zbl 0589.46027
Bojdecki, T.; Gorostiza, L. G.; Ramaswamy, S.
26
1986
Space scaling limit theorems for infinite particle branching Brownian motions with immigration. Zbl 0562.60061
Gorostiza, Luis G.
3
1985
Limit theorems for supercritical branching random fields. Zbl 0553.60073
Dawson, Donald A.; Gorostiza, Luis G.
5
1984
Correction to: Gigh density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0541.60085
Gorostiza, Luis G.
1
1984
High density limit theorems for infinite systems of unscaled branching Brownian motions. Zbl 0519.60085
Gorostiza, 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
Fleming, W. H. (ed.); Gorostiza, L. G. (ed.)
1
1982
Limites gaussiennes pour les champs aléatoires ramifies supercritiques. Zbl 0519.60084
Gorostiza, Luis G.
1
1981
Rate of convergence of uniform transport processes to Brownian motion and application to stochastic integrals. Zbl 0444.60025
Gorostiza, Luis G.; Griego, Richard J.
9
1980
Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0428.60071
Gorostiza, Luis G.
7
1980
Invariance principle for branching random motions. Zbl 0496.60085
Gorostiza, Luis G.; Kaplan, Norman
2
1980
Erratum to: Rate of convergence of an approximate solution of stochastic differential equations. Zbl 0438.60048
Gorostiza, Luis G.
1
1980
Strong approximation of diffusion processes by transport processes. Zbl 0408.60075
Gorostiza, Luis G.; Griego, Richard J.
3
1979
Convergence of branching transport processes to branching Brownian motion. Zbl 0408.60086
Gorostiza, Luis G.; Griego, Richard J.
1
1979
Almost-sure invariance principle for branching Brownian motion. Zbl 0445.60068
Gorostiza, L. G.; Moncayo, A. R.
1
1978
A note on the limits of branching processes. Zbl 0414.60077
Gorostiza, Luis G.
2
1976
Convergence of transport processes with radially symmetric direction changes, and chain molecules. Zbl 0326.60118
Gorostiza, Luis G.
2
1975
Invariance principle for sums of independent random variables on a binary tree. Zbl 0336.60078
Gorostiza, L. G.; Moncayo, A. R.
1
1974
The central limit theorem for random motions of d-dimensional Euclidean space. Zbl 0263.60010
Gorostiza, Luis G.
12
1973
An invariance principle for a class of d-dimensional polygonal random functions. Zbl 0267.60109
Gorostiza, Luis G.
2
1973
all top 5

Cited by 326 Authors

39 Gorostiza, Luis G.
23 Bojdecki, Tomasz
16 Talarczyk, Anna
12 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 Wakolbinger, Anton
5 Greven, Andreas
5 Jakubowski, Jacek
5 León, Jorge A.
5 Liu, Junfeng
4 Fleischmann, Klaus
4 López-Mimbela, José Alfredo
4 Nualart, David
4 Ren, Yanxia
4 Zhang, Mei
3 Athreya, Siva R.
3 Baldi, Paolo
3 Bardina, Xavier
3 Cang, Yuquan
3 Chen, Chao
3 den Hollander, Frank
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 Mishura, Yuliya Stepanivna
3 Norvaiša, Rimas
3 Pérez-Abreu Carrión, Víctor M.
3 Rodrigues, Eliane Regina
3 Roelly, Sylvie
3 Shang, Yilun
3 Song, Renming
3 Swart, Jan M.
3 Torres, Soledad
2 Aebi, Robert
2 Ait Ouahra, Mohamed
2 Araya, Héctor
2 Ayache, Antoine
2 Bansaye, Vincent
2 Bernardin, Cédric
2 Beznea, Lucian
2 Birkner, Matthias
2 Blaquiere, Austin
2 Chen, Qin
2 Conforti, Giovanni
2 Cox, J. Theodore
2 Delmas, Jean-François
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 Olivares, Pablo
2 Pavon, Michele
2 Peng, Zhihang
2 Ralchenko, Kostiantyn V.
2 Rao, Bhagavatula Lakshmi Surya Prakasa
2 Rouault, Alain
2 Rovira, Carles
2 Royer, Danilo
2 Schaumlöffel, Kay-Uwe
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 Wang, Zhi
2 Xiang, Kai-Nan
2 Xiao, Yimin
2 Zähle, Iljana
2 Zhang, Mingji
2 Zhang, Rui
2 Zili, Mounir
2 Zubkov, Andreĭ Mikhaĭlovich
1 Abraham, Romain
1 Aguilar-Ortiz, Jaime
1 Al-Hussein, Abdulrahman
1 Allognissode, Fulbert Kuessi
...and 226 more Authors
all top 5

Cited in 103 Serials

35 Stochastic Processes and their Applications
19 Statistics & Probability Letters
19 Stochastic Analysis and Applications
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
5 Lithuanian Mathematical Journal
5 Communications in Statistics. Theory and Methods
5 Random Operators and Stochastic Equations
5 Stochastics and Dynamics
5 Science China. Mathematics
4 Applied Mathematics and Optimization
4 Journal of Functional Analysis
4 Potential Analysis
4 Stochastics
3 Advances in Applied Probability
3 Journal of Applied Probability
3 Transactions of the American Mathematical Society
3 Science in China. Series A
3 The Annals of Applied Probability
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Abstract and Applied Analysis
3 Acta Mathematica Sinica. English Series
3 Stochastic Models
3 Advances in Difference Equations
3 Journal of the Korean Statistical Society
2 Communications in Mathematical Physics
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Collectanea Mathematica
2 Journal of Differential Equations
2 Journal of Soviet Mathematics
2 Journal of Statistical Planning and Inference
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Electronic Journal of Probability
2 Discrete and Continuous Dynamical Systems
2 Brazilian Journal of Probability and Statistics
2 Miscelánea Matemática
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Frontiers of Mathematics in China
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Stochastics
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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. Series A: Theory and Methods
1 Siberian Mathematical Journal
1 Advances in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Revista Matemática Iberoamericana
1 Mathematical and Computer Modelling
1 Publicacions Matemàtiques
1 Stochastic Hydrology and Hydraulics
1 Dynamics and Control
1 Aequationes Mathematicae
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Stochastics and Stochastics Reports
1 Indagationes Mathematicae. New Series
1 Applied Mathematics. Series B (English Edition)
1 Statistical Papers
1 Annales Mathématiques Blaise Pascal
1 Bernoulli
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of Inequalities and Applications
1 Fractional Calculus & Applied Analysis
1 Extremes
1 Annals of Mathematics. Second Series
1 Statistical Inference for Stochastic Processes
1 Methodology and Computing in Applied Probability
1 Annales Henri Poincaré
1 Nonlinear Analysis. Modelling and Control
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Applications and Applied Mathematics
1 Complex Analysis and Operator Theory
1 Algorithms
1 Advances in Mathematical Physics
1 Probability Surveys
1 Journal of Spectral Theory
1 ISRN Discrete Mathematics
...and 3 more Serials

Citations by Year