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Kersting, Götz-Dietrich

Author ID: kersting.gotz-dietrich Recent zbMATH articles by "Kersting, Götz-Dietrich"
Published as: Kersting, Götz; Kersting, G.; Kersting, Goetz; Kersting, Götz-Dietrich; Kersting, Götz D.

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 667 times in 381 Documents Cited by Year
Criticality for branching processes in random environment. Zbl 1075.60107
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
78
2005
Discrete time branching processes in random environment. Zbl 1406.60005
Kersting, Götz; Vatutin, Vladimir
54
2017
Limit theorems for weakly subcritical branching processes in random environment. Zbl 1262.60083
Afanasyev, V. I.; Böinghoff, C.; Kersting, G.
40
2012
Limit theorems for subcritical branching processes in random environment. Zbl 1038.60083
Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A.
39
2003
Testing symmetry. Zbl 0489.62045
Antille, A.; Kersting, G.; Zucchini, W.
33
1982
The survival probability of a critical branching process in a random environment. Zbl 0994.60095
Geiger, J.; Kersting, G.
31
2000
Conditional limit theorems for intermediately subcritical branching processes in random environment. Zbl 1290.60083
Afanasyev, V. I.; Böinghoff, Ch.; Kersting, G.; Vatutin, V. A.
28
2014
Functional limit theorems for strongly subcritical branching processes in random environment. Zbl 1080.60079
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
25
2005
Branching processes in random environment – a view on critical and subcritical cases. Zbl 1084.60062
Birkner, Matthias; Geiger, Jochen; Kersting, Götz
23
2005
Depth-first search of random trees, and Poisson point processes. Zbl 0867.60061
Geiger, J.; Kersting, G.
22
1997
On recurrence and transience of growth models. Zbl 0611.60084
Kersting, G.
19
1986
On the total external length of the Kingman coalescent. Zbl 1245.60094
Janson, Svante; Kersting, Götz
17
2011
The Galton-Watson tree conditioned on its height. Zbl 1021.60065
Geiger, J.; Kersting, G.
16
1999
Upper large deviations of branching processes in a random environment-offspring distributions with geometrically bounded tails. Zbl 1198.60045
Böinghoff, Christian; Kersting, Götz
15
2010
Tests for symmetry. Zbl 0342.62024
Antille, Andre; Kersting, Götz
14
1977
A random walk approach to Galton-Watson trees. Zbl 0977.60083
Bennies, Jürgen; Kersting, Götz
14
2000
On the asymptotic behaviour of discrete time stochastic growth processes. Zbl 0616.60079
Keller, G.; Kersting, G.; Rösler, U.
13
1987
On the asymptotic behaviour of solutions of stochastic differential equations. Zbl 0535.60050
Keller, G.; Kersting, G.; Rösler, U.
12
1984
Almost sure approximation of the Robbins-Monro process by sums of independent random variables. Zbl 0374.62082
Kersting, Götz
12
1977
The asymptotic distribution of the length of beta-coalescent trees. Zbl 1251.92034
Kersting, Götz
12
2012
The internal branch lengths of the Kingman coalescent. Zbl 1315.60107
Dahmer, Iulia; Kersting, Götz
10
2015
Branching processes in random environment which extinct at a given moment. Zbl 1204.60086
Böinghoff, C.; Dyakonova, E. E.; Kersting, G.; Vatutin, V. A.
10
2010
A unifying approach to branching processes in a varying environment. Zbl 1434.60242
Kersting, Götz
10
2020
Sharp conditions for nonexplosions and explosions in Markov jump processes. Zbl 0834.60084
Kersting, G.; Klebaner, F. C.
9
1995
The total external branch length of beta-coalescents. Zbl 1321.60174
Dahmer, Iulia; Kersting, Götz; Wakolbinger, Anton
9
2014
The evolving beta coalescent. Zbl 1302.60137
Kersting, Götz; Schweinsberg, Jason; Wakolbinger, Anton
9
2014
A weak convergence theorem with application to the Robbins-Monro process. Zbl 0405.60019
Kersting, Götz D.
8
1978
Asymptotic \(\Gamma\)-distribution for stochastic difference equations. Zbl 0747.60024
Kersting, Götz
7
1992
Law of the iterated logarithm for oscillating random walks conditioned to stay non-negative. Zbl 1075.60525
Hambly, B. M.; Kersting, G.; Kyprianou, A. E.
7
2003
Tree lengths for general \(\Lambda \)-coalescents and the asymptotic site frequency spectrum around the Bolthausen-Sznitman coalescent. Zbl 1475.60159
Diehl, Christina S.; Kersting, Götz
7
2019
Branching processes in varying environment with generation-dependent immigration. Zbl 1478.60234
González, M.; Kersting, G.; Minuesa, C.; del Puerto, I.
6
2019
Total internal and external lengths of the Bolthausen-Sznitman coalescent. Zbl 1317.60112
Kersting, Götz; Pardo, Juan Carlos; Siri-Jégousse, Arno
5
2014
Measure and integral. Translated from the German by the authors. Zbl 1318.28001
Brokate, Martin; Kersting, Götz
5
2015
Design problems for the pure birth process. Zbl 0525.62063
Becker, Gerhard; Kersting, Goetz
4
1983
The size of the last merger and time reversal in \(\Lambda\)-coalescents. Zbl 1404.60108
Kersting, Götz; Schweinsberg, Jason; Wakolbinger, Anton
4
2018
The total external length of the evolving Kingman coalescent. Zbl 1373.60154
Dahmer, Iulia; Kersting, Götz
4
2017
External branch lengths of \(\Lambda \)-coalescents without a dust component. Zbl 1427.60180
Diehl, Christina S.; Kersting, Götz
4
2019
On the asymptotic behaviour of first passage times for diffusions. Zbl 0621.60079
Keller, G.; Kersting, G.; Rösler, U.
3
1988
Strong ratio limit property and R-recurrence of reversible Markov chains. Zbl 0283.60071
Kersting, Götz
3
1974
Die Geschwindigkeit der Glivenko-Cantelli Konvergenz, gemessen in der Prohorov-Metrik. Zbl 0373.60004
Kersting, Götz-Dietrich
3
1978
Path decompositions for Markov chains. Zbl 1052.60056
Kersting, Götz; Memişoǧlu, Kaya
3
2004
Site frequency spectrum of the Bolthausen-Sznitman coalescent. Zbl 1472.60147
Kersting, Götz; Siri-Jégousse, Arno; Wences, Alejandro H.
3
2021
Some results on the asymptotic behaviour of the Robbins-Monro procedure. Zbl 0515.62079
Kersting, Goetz
2
1977
Winding numbers for 2-dimensional, positive recurrent diffusions. Zbl 0799.60071
Geiger, J.; Kersting, G.
2
1994
A law of large numbers for stochastic difference equations. Zbl 0747.60029
Kersting, Götz
2
1992
Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment. Zbl 1288.60107
Böinghoff, Christian; Kersting, Götz
2
2013
On the genealogical structure of critical branching processes in a varying environment. Zbl 1511.60126
Kersting, Götz
2
2022
Asymptotic properties of solutions of multidimensional stochastic differential equations. Zbl 0659.60083
Kersting, G.
1
1989
Second-order linearity of the general signed-rank statistic. Zbl 0632.62030
Kersting, G.
1
1987
Harmonic coordinates for diffusions in the plane. Zbl 0868.60063
Kersting, G.
1
1996
Elementary stochastics. 2nd revised ed. (Elementare Stochastik.) Zbl 1201.60003
Kersting, Götz; Wakolbinger, Anton
1
2010
Explosions in Markov processes and submartingale convergence. Zbl 0862.60071
Kersting, G.; Klebaner, F. C.
1
1996
From Parisi to Boltzmann. Gibbs potentials and high temperature expansion in mean field. Zbl 1446.82040
Kersting, Goetz; Kistler, Nicola; Schertzer, Adrien; Schmidt, Marius A.
1
2019
The time to absorption in \(\Lambda\)-coalescents. Zbl 1431.60093
Kersting, Götz; Wakolbinger, Anton
1
2018
On the genealogical structure of critical branching processes in a varying environment. Zbl 1511.60126
Kersting, Götz
2
2022
Site frequency spectrum of the Bolthausen-Sznitman coalescent. Zbl 1472.60147
Kersting, Götz; Siri-Jégousse, Arno; Wences, Alejandro H.
3
2021
A unifying approach to branching processes in a varying environment. Zbl 1434.60242
Kersting, Götz
10
2020
Tree lengths for general \(\Lambda \)-coalescents and the asymptotic site frequency spectrum around the Bolthausen-Sznitman coalescent. Zbl 1475.60159
Diehl, Christina S.; Kersting, Götz
7
2019
Branching processes in varying environment with generation-dependent immigration. Zbl 1478.60234
González, M.; Kersting, G.; Minuesa, C.; del Puerto, I.
6
2019
External branch lengths of \(\Lambda \)-coalescents without a dust component. Zbl 1427.60180
Diehl, Christina S.; Kersting, Götz
4
2019
From Parisi to Boltzmann. Gibbs potentials and high temperature expansion in mean field. Zbl 1446.82040
Kersting, Goetz; Kistler, Nicola; Schertzer, Adrien; Schmidt, Marius A.
1
2019
The size of the last merger and time reversal in \(\Lambda\)-coalescents. Zbl 1404.60108
Kersting, Götz; Schweinsberg, Jason; Wakolbinger, Anton
4
2018
The time to absorption in \(\Lambda\)-coalescents. Zbl 1431.60093
Kersting, Götz; Wakolbinger, Anton
1
2018
Discrete time branching processes in random environment. Zbl 1406.60005
Kersting, Götz; Vatutin, Vladimir
54
2017
The total external length of the evolving Kingman coalescent. Zbl 1373.60154
Dahmer, Iulia; Kersting, Götz
4
2017
The internal branch lengths of the Kingman coalescent. Zbl 1315.60107
Dahmer, Iulia; Kersting, Götz
10
2015
Measure and integral. Translated from the German by the authors. Zbl 1318.28001
Brokate, Martin; Kersting, Götz
5
2015
Conditional limit theorems for intermediately subcritical branching processes in random environment. Zbl 1290.60083
Afanasyev, V. I.; Böinghoff, Ch.; Kersting, G.; Vatutin, V. A.
28
2014
The total external branch length of beta-coalescents. Zbl 1321.60174
Dahmer, Iulia; Kersting, Götz; Wakolbinger, Anton
9
2014
The evolving beta coalescent. Zbl 1302.60137
Kersting, Götz; Schweinsberg, Jason; Wakolbinger, Anton
9
2014
Total internal and external lengths of the Bolthausen-Sznitman coalescent. Zbl 1317.60112
Kersting, Götz; Pardo, Juan Carlos; Siri-Jégousse, Arno
5
2014
Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment. Zbl 1288.60107
Böinghoff, Christian; Kersting, Götz
2
2013
Limit theorems for weakly subcritical branching processes in random environment. Zbl 1262.60083
Afanasyev, V. I.; Böinghoff, C.; Kersting, G.
40
2012
The asymptotic distribution of the length of beta-coalescent trees. Zbl 1251.92034
Kersting, Götz
12
2012
On the total external length of the Kingman coalescent. Zbl 1245.60094
Janson, Svante; Kersting, Götz
17
2011
Upper large deviations of branching processes in a random environment-offspring distributions with geometrically bounded tails. Zbl 1198.60045
Böinghoff, Christian; Kersting, Götz
15
2010
Branching processes in random environment which extinct at a given moment. Zbl 1204.60086
Böinghoff, C.; Dyakonova, E. E.; Kersting, G.; Vatutin, V. A.
10
2010
Elementary stochastics. 2nd revised ed. (Elementare Stochastik.) Zbl 1201.60003
Kersting, Götz; Wakolbinger, Anton
1
2010
Criticality for branching processes in random environment. Zbl 1075.60107
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
78
2005
Functional limit theorems for strongly subcritical branching processes in random environment. Zbl 1080.60079
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A.
25
2005
Branching processes in random environment – a view on critical and subcritical cases. Zbl 1084.60062
Birkner, Matthias; Geiger, Jochen; Kersting, Götz
23
2005
Path decompositions for Markov chains. Zbl 1052.60056
Kersting, Götz; Memişoǧlu, Kaya
3
2004
Limit theorems for subcritical branching processes in random environment. Zbl 1038.60083
Geiger, Jochen; Kersting, Götz; Vatutin, Vladimir A.
39
2003
Law of the iterated logarithm for oscillating random walks conditioned to stay non-negative. Zbl 1075.60525
Hambly, B. M.; Kersting, G.; Kyprianou, A. E.
7
2003
The survival probability of a critical branching process in a random environment. Zbl 0994.60095
Geiger, J.; Kersting, G.
31
2000
A random walk approach to Galton-Watson trees. Zbl 0977.60083
Bennies, Jürgen; Kersting, Götz
14
2000
The Galton-Watson tree conditioned on its height. Zbl 1021.60065
Geiger, J.; Kersting, G.
16
1999
Depth-first search of random trees, and Poisson point processes. Zbl 0867.60061
Geiger, J.; Kersting, G.
22
1997
Harmonic coordinates for diffusions in the plane. Zbl 0868.60063
Kersting, G.
1
1996
Explosions in Markov processes and submartingale convergence. Zbl 0862.60071
Kersting, G.; Klebaner, F. C.
1
1996
Sharp conditions for nonexplosions and explosions in Markov jump processes. Zbl 0834.60084
Kersting, G.; Klebaner, F. C.
9
1995
Winding numbers for 2-dimensional, positive recurrent diffusions. Zbl 0799.60071
Geiger, J.; Kersting, G.
2
1994
Asymptotic \(\Gamma\)-distribution for stochastic difference equations. Zbl 0747.60024
Kersting, Götz
7
1992
A law of large numbers for stochastic difference equations. Zbl 0747.60029
Kersting, Götz
2
1992
Asymptotic properties of solutions of multidimensional stochastic differential equations. Zbl 0659.60083
Kersting, G.
1
1989
On the asymptotic behaviour of first passage times for diffusions. Zbl 0621.60079
Keller, G.; Kersting, G.; Rösler, U.
3
1988
On the asymptotic behaviour of discrete time stochastic growth processes. Zbl 0616.60079
Keller, G.; Kersting, G.; Rösler, U.
13
1987
Second-order linearity of the general signed-rank statistic. Zbl 0632.62030
Kersting, G.
1
1987
On recurrence and transience of growth models. Zbl 0611.60084
Kersting, G.
19
1986
On the asymptotic behaviour of solutions of stochastic differential equations. Zbl 0535.60050
Keller, G.; Kersting, G.; Rösler, U.
12
1984
Design problems for the pure birth process. Zbl 0525.62063
Becker, Gerhard; Kersting, Goetz
4
1983
Testing symmetry. Zbl 0489.62045
Antille, A.; Kersting, G.; Zucchini, W.
33
1982
A weak convergence theorem with application to the Robbins-Monro process. Zbl 0405.60019
Kersting, Götz D.
8
1978
Die Geschwindigkeit der Glivenko-Cantelli Konvergenz, gemessen in der Prohorov-Metrik. Zbl 0373.60004
Kersting, Götz-Dietrich
3
1978
Tests for symmetry. Zbl 0342.62024
Antille, Andre; Kersting, Götz
14
1977
Almost sure approximation of the Robbins-Monro process by sums of independent random variables. Zbl 0374.62082
Kersting, Götz
12
1977
Some results on the asymptotic behaviour of the Robbins-Monro procedure. Zbl 0515.62079
Kersting, Goetz
2
1977
Strong ratio limit property and R-recurrence of reversible Markov chains. Zbl 0283.60071
Kersting, Götz
3
1974
all top 5

Cited by 450 Authors

33 Vatutin, Vladimir Alekseevich
26 Kersting, Götz-Dietrich
21 D’yakonova, Elena Evgen’evna
14 Lambert, Amaury
14 Liu, Quansheng
9 Afanas’ev, Valeriĭ Ivanovich
9 Bansaye, Vincent
9 Siri-Jegousse, Arno
7 Böinghoff, Christian
7 Grama, Ion G.
7 Wachtel, Vitali I.
6 Le Page, Emile
6 Pardo, Juan Carlos
6 Smadi, Charline
5 Gao, Zhiqiang
5 Gonzalez-Velasco, Miguel
5 Iksanov, Aleksander M.
5 Marynych, Alexander V.
5 Palau, Sandra
4 Buraczewski, Dariusz
4 Denisov, Denis E.
4 Geiger, Jochen
4 Möhle, Martin
4 Peigné, Marc
4 Rosenberg, Noah A.
4 Schertzer, Emmanuel
4 Schwabe, Rainer
4 Yuan, Linglong
4 Zhang, Jun
3 Alsmeyer, Gerold
3 Basak, Gopal Krishna
3 Bruss, Franz Thomas
3 Cardona-Tobón, Natalia
3 Casanova, Adrián González
3 Dahmer, Iulia
3 del Puerto, Inés Maria
3 Diehl, Christina S.
3 Disanto, Filippo
3 Dong, Congzao
3 Fribergh, Alexander
3 Gnedin, Alexander V.
3 Gufler, Stephan
3 Huang, Chunmao
3 Huillet, Thierry E.
3 Jagers, Peter
3 Klebaner, Fima C.
3 Kortchemski, Igor
3 Le Gall, Jean-François
3 Li, Yingqiu
3 Li, Zenghu
3 Molina, Manuel
3 Mota, Manuel
3 Nakashima, Makoto
3 Pflug, Georg
3 Pitman, Jim William
3 Richard, Mathieu
3 Sagitov, Serik
3 Xu, Wei
3 Yoshida, Nobuo
3 Zhang, Mei
2 Ademola, Adeleke Timothy
2 Adesina, Olufemi Adeyinka
2 Ben Arous, Gérard
2 Bowditch, Adam M.
2 Champagnat, Nicolas
2 Chen, Mu-Fa
2 Comets, Francis M.
2 Damek, Ewa
2 Dasgupta, Amites
2 Delaporte, Cécile
2 Delgado, Miguel Ángel
2 Devroye, Luc P. J. A.
2 Dyszewski, Piotr
2 Ekström, Magnus
2 Fan, Xiequan
2 Foss, Sergey G.
2 Freund, Fabian
2 Fuchs, Michael
2 Gai, Yujie
2 Gantert, Nina
2 Gröttrup, Sören
2 Hénard, Olivier
2 Henry, Benoît
2 Hobson, David Graham
2 Hong, Wenming
2 Hu, Yueyun
2 Jammalamadaka, Sreenivasa Rao
2 Janson, Svante
2 Khusanbaev, Ya. M.
2 Kolesko, Konrad
2 Koziol, James A.
2 Kudratov, Khamza E.
2 Kyprianou, Andreas E.
2 Lauvergnat, Ronan
2 Li, Doudou
2 Marckert, Jean-François
2 Martínez, Rodrigo
2 Minuesa, Carmen
2 Miqueu, Eric
2 Olaleye, S. J.
...and 350 more Authors
all top 5

Cited in 104 Serials

42 Stochastic Processes and their Applications
19 Journal of Applied Probability
18 Statistics & Probability Letters
17 The Annals of Applied Probability
14 Advances in Applied Probability
14 Proceedings of the Steklov Institute of Mathematics
12 Probability Theory and Related Fields
11 The Annals of Probability
10 Theoretical Population Biology
10 Discrete Mathematics and Applications
10 Electronic Journal of Probability
9 Theory of Probability and its Applications
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Bernoulli
8 ALEA. Latin American Journal of Probability and Mathematical Statistics
7 Journal of Mathematical Biology
7 Journal of Theoretical Probability
7 Communications in Statistics. Theory and Methods
7 Stochastic Models
6 Journal of Multivariate Analysis
4 Communications in Statistics. Simulation and Computation
3 Journal of Statistical Physics
3 Annals of the Institute of Statistical Mathematics
3 Journal of Econometrics
3 Journal of Statistical Planning and Inference
3 Random Structures & Algorithms
3 Computational Statistics and Data Analysis
3 Electronic Communications in Probability
3 Journal of Nonparametric Statistics
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Mathematical Notes
2 Metrika
2 The Annals of Statistics
2 Journal of Computational and Applied Mathematics
2 Journal of Soviet Mathematics
2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
2 Stochastic Analysis and Applications
2 Acta Applicandae Mathematicae
2 Journal of Statistical Computation and Simulation
2 Chinese Science Bulletin
2 Sbornik: Mathematics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Frontiers of Mathematics in China
2 International Journal of Stochastic Analysis
2 Journal of Theoretical Biology
2 Journal of Mathematical Research with Applications
2 Modern Stochastics. Theory and Applications
2 Stochastics and Quality Control
2 Annales Henri Lebesgue
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Computers & Mathematics with Applications
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Biosciences
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Bulletin of Mathematical Biology
1 Biometrics
1 Information Sciences
1 Journal of Mathematical Economics
1 Kybernetika
1 Nagoya Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Journal of the Nigerian Mathematical Society
1 Acta Mathematicae Applicatae Sinica. English Series
1 Statistics
1 Journal of Complexity
1 Algorithmica
1 Econometric Reviews
1 MCSS. Mathematics of Control, Signals, and Systems
1 Science in China. Series A
1 Siberian Advances in Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Cybernetics and Systems Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Optimization and Applications
1 Combinatorics, Probability and Computing
1 The Electronic Journal of Combinatorics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Discrete Dynamics in Nature and Society
1 Journal of Applied Statistics
1 Extremes
1 Optimization and Engineering
1 Quantitative Finance
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Oberwolfach Reports
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Statistical Methodology
1 Proyecciones
1 Acta Mathematica Sinica. Chinese Series
1 Electronic Journal of Statistics
1 Probability Surveys
...and 4 more Serials

Citations by Year