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## Wachtel, Vitali I.

Compute Distance To:
 Author ID: wachtel.vitali-i Published as: Vakhtel’, V. I.; Vakhtel, V.; Vakhtel, V. I.; Wachtel, V.; Wachtel, V. I.; Wachtel, Vitali; Wachtel, Vitali I. Homepage: https://www.math.uni-augsburg.de/prof/stochastik/Mitarbeiter/wachtel/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 52 Publications since 1999, including 1 Book
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#### Co-Authors

 3 single-authored 15 Denisov, Denis E. 10 Fleischmann, Klaus 7 Nagaev, Sergey Victorovich 5 Mytnik, Leonid 5 Vatutin, Vladimir Alekseevich 4 Ioffe, Dmitry 4 Korshunov, Dmitry 3 Mörters, Peter 2 Caputo, Pietro 2 Kolb, Martin 2 Sakhanenko, Aleksandr Ivanovich 2 Velenik, Yvan 1 Duraj, Jetlir 1 Gantert, Nina 1 Heinrich, Lothar 1 Hinrichs, Günter 1 Kugler, Johannes 1 Nedorezov, Lev V. 1 Ott, Sébastien 1 Perfilev, Elena 1 Pukelsheim, Friedrich 1 Shneer, Vsevolod Vladislavovich 1 Sloothaak, Fiona 1 Zwart, Bert P.
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#### Serials

 8 Theory of Probability and its Applications 5 Electronic Journal of Probability 4 The Annals of Probability 4 Probability Theory and Related Fields 4 Stochastic Processes and their Applications 3 Advances in Applied Probability 3 Journal of Applied Probability 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of Theoretical Probability 2 Electronic Communications in Probability 1 Journal of Statistical Physics 1 Metrika 1 Journal of the London Mathematical Society. Second Series 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Transactions of the American Mathematical Society 1 Queueing Systems 1 Discrete Mathematics and Applications 1 Doklady Mathematics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Proceedings of the Steklov Institute of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 SpringerBriefs in Probability and Mathematical Statistics
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#### Fields

 51 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

38 Publications have been cited 223 times in 167 Documents Cited by Year
Random walks in cones. Zbl 1332.60066
Denisov, Denis; Wachtel, Vitali
2015
Local probabilities for random walks conditioned to stay positive. Zbl 1158.60014
2009
Lower deviation probabilities for supercritical Galton-Watson processes. Zbl 1112.60066
Fleischmann, Klaus; Wachtel, Vitali
2007
Conditional limit theorems for ordered random walks. Zbl 1201.60040
Denisov, Denis E.; Wachtel, Vitali
2010
On the left tail asymptotics for the limit law of supercritical Galton-Watson processes in the Böttcher case. Zbl 1175.60075
Fleischmann, Klaus; Wachtel, Vitali
2009
Exit times for integrated random walks. Zbl 1310.60049
Denisov, Denis; Wachtel, Vitali
2015
A unified approach to the heavy-traffic analysis of the maximum of random walks. Zbl 1229.60059
Shneer, S.; Wachtel, V.
2011
Optimal local Hölder index for density states of superprocesses with $$(1+\beta )$$-branching mechanism. Zbl 1207.60055
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
2010
Moderate deviations for a random walk in random scenery. Zbl 1157.60020
Fleischmann, Klaus; Mörters, Peter; Wachtel, Vitali
2008
An exact asymptotics for the moment of crossing a curved boundary by an asymptotically stable random walk. Zbl 1375.60088
Wachtel, Vitali I.; Denisov, Denis E.
2016
Large deviations for sums indexed by the generations of a Galton-Watson process. Zbl 1141.60048
Fleischmann, Klaus; Wachtel, Vitali
2008
The critical Galton-Watson process without further power moments. Zbl 1141.60049
Nagaev, S. V.; Wachtel, V.
2007
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. Zbl 1405.60146
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali
2018
Local asymptotics for the area of random walk excursions. Zbl 1316.60063
Denisov, Denis; Kolb, Martin; Wachtel, Vitali
2015
Potential analysis for positive recurrent Markov chains with asymptotically zero drift: power-type asymptotics. Zbl 1294.60096
Denisov, Denis; Korshunov, Dmitry; Wachtel, Vitali
2013
Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case. Zbl 1290.60087
Wachtel, V. I.; Denisov, D. E.; Korshunov, D. A.
2013
Local limit theorem for the maximum of asymptotically stable random walks. Zbl 1237.60039
Wachtel, Vitali
2012
Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078
Vatutin, V. A.; Wachtel, V.; Fleischmann, K.
2008
Probability inequalities for a critical Galton-Watson process. Zbl 1331.60173
Nagaev, S. V.; Vakhtel, V.
2006
First-passage times for random walks with nonidentically distributed increments. Zbl 1434.60126
Denisov, Denis; Sakhanenko, Alexander; Wachtel, Vitali
2018
Multifractal analysis of superprocesses with stable branching in dimension one. Zbl 1332.60122
Mytnik, Leonid; Wachtel, Vitali
2015
Hölder index at a given point for density states of super-$$\alpha$$-stable motion of index $$1+\beta$$. Zbl 1226.60112
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
2011
Invariance principles for random walks in cones. Zbl 07203576
Duraj, Jetlir; Wachtel, Vitali
2020
Trap models with vanishing drift: scaling limits and ageing regimes. Zbl 1276.60124
Gantert, Nina; Mörters, Peter; Wachtel, Vitali
2010
Limit theorems for probabilities of large deviations of a critical Galton - Watson process having power tails. Zbl 1156.60070
Wachtel, V. I.
2008
On the local limit theorem for a critical Galton-Watson process. Zbl 1116.60047
Nagaev, S. V.; Vakhtel, V. I.
2006
Large scale localization of a spatial version of Neveu’s branching process. Zbl 1107.60052
Fleischmann, Klaus; Wachtel, Vitali
2006
Confinement of Brownian polymers under geometric area tilts. Zbl 07055675
Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali
2019
First-passage times over moving boundaries for asymptotically stable walks. Zbl 1442.60049
Denisov, D.; Sakhanenko, A.; Wachtel, V.
2019
Multi-type subcritical branching processes in a random environment. Zbl 1431.60103
2018
The variance of the discrepancy distribution of rounding procedures, and sums of uniform random variables. Zbl 1360.62057
Heinrich, Lothar; Pukelsheim, Friedrich; Wachtel, Vitali
2017
Local probabilities for random walks with negative drift conditioned to stay nonnegative. Zbl 1307.60050
Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali
2014
Upper bounds for the maximum of a random walk with negative drift. Zbl 1293.60052
Kugler, Johannes; Wachtel, Vitali
2013
Properties of states of super-$$\alpha$$-stable motion with branching of index $$1+\beta$$. Zbl 1248.60099
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
2012
Ordered random walks with heavy tails. Zbl 1246.60069
Denisov, Denis E.; Wachtel, Vitali
2012
Sudden extinction of a critical branching process in a random environment. Zbl 1205.60153
Vatutin, V. A.; Wachtel, V.
2009
On sums of independent random variables without power moments. Zbl 1224.60099
Nagaev, S. V.; Vakhtel’, V. I.
2008
Limit theorems for probabilities of large deviations of a Galton-Watson process. Zbl 1102.60316
Nagaev, S. V.; Vakhtel’, V. I.
2003
Invariance principles for random walks in cones. Zbl 07203576
Duraj, Jetlir; Wachtel, Vitali
2020
Confinement of Brownian polymers under geometric area tilts. Zbl 07055675
Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali
2019
First-passage times over moving boundaries for asymptotically stable walks. Zbl 1442.60049
Denisov, D.; Sakhanenko, A.; Wachtel, V.
2019
Dyson Ferrari-Spohn diffusions and ordered walks under area tilts. Zbl 1405.60146
Ioffe, Dmitry; Velenik, Yvan; Wachtel, Vitali
2018
First-passage times for random walks with nonidentically distributed increments. Zbl 1434.60126
Denisov, Denis; Sakhanenko, Alexander; Wachtel, Vitali
2018
Multi-type subcritical branching processes in a random environment. Zbl 1431.60103
2018
The variance of the discrepancy distribution of rounding procedures, and sums of uniform random variables. Zbl 1360.62057
Heinrich, Lothar; Pukelsheim, Friedrich; Wachtel, Vitali
2017
An exact asymptotics for the moment of crossing a curved boundary by an asymptotically stable random walk. Zbl 1375.60088
Wachtel, Vitali I.; Denisov, Denis E.
2016
Random walks in cones. Zbl 1332.60066
Denisov, Denis; Wachtel, Vitali
2015
Exit times for integrated random walks. Zbl 1310.60049
Denisov, Denis; Wachtel, Vitali
2015
Local asymptotics for the area of random walk excursions. Zbl 1316.60063
Denisov, Denis; Kolb, Martin; Wachtel, Vitali
2015
Multifractal analysis of superprocesses with stable branching in dimension one. Zbl 1332.60122
Mytnik, Leonid; Wachtel, Vitali
2015
Local probabilities for random walks with negative drift conditioned to stay nonnegative. Zbl 1307.60050
Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali
2014
Potential analysis for positive recurrent Markov chains with asymptotically zero drift: power-type asymptotics. Zbl 1294.60096
Denisov, Denis; Korshunov, Dmitry; Wachtel, Vitali
2013
Tail asymptotics for the supercritical Galton-Watson process in the heavy-tailed case. Zbl 1290.60087
Wachtel, V. I.; Denisov, D. E.; Korshunov, D. A.
2013
Upper bounds for the maximum of a random walk with negative drift. Zbl 1293.60052
Kugler, Johannes; Wachtel, Vitali
2013
Local limit theorem for the maximum of asymptotically stable random walks. Zbl 1237.60039
Wachtel, Vitali
2012
Properties of states of super-$$\alpha$$-stable motion with branching of index $$1+\beta$$. Zbl 1248.60099
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
2012
Ordered random walks with heavy tails. Zbl 1246.60069
Denisov, Denis E.; Wachtel, Vitali
2012
A unified approach to the heavy-traffic analysis of the maximum of random walks. Zbl 1229.60059
Shneer, S.; Wachtel, V.
2011
Hölder index at a given point for density states of super-$$\alpha$$-stable motion of index $$1+\beta$$. Zbl 1226.60112
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
2011
Conditional limit theorems for ordered random walks. Zbl 1201.60040
Denisov, Denis E.; Wachtel, Vitali
2010
Optimal local Hölder index for density states of superprocesses with $$(1+\beta )$$-branching mechanism. Zbl 1207.60055
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
2010
Trap models with vanishing drift: scaling limits and ageing regimes. Zbl 1276.60124
Gantert, Nina; Mörters, Peter; Wachtel, Vitali
2010
Local probabilities for random walks conditioned to stay positive. Zbl 1158.60014
2009
On the left tail asymptotics for the limit law of supercritical Galton-Watson processes in the Böttcher case. Zbl 1175.60075
Fleischmann, Klaus; Wachtel, Vitali
2009
Sudden extinction of a critical branching process in a random environment. Zbl 1205.60153
Vatutin, V. A.; Wachtel, V.
2009
Moderate deviations for a random walk in random scenery. Zbl 1157.60020
Fleischmann, Klaus; Mörters, Peter; Wachtel, Vitali
2008
Large deviations for sums indexed by the generations of a Galton-Watson process. Zbl 1141.60048
Fleischmann, Klaus; Wachtel, Vitali
2008
Critical Galton-Watson processes: the maximum of total progenies within a large window. Zbl 1206.60078
Vatutin, V. A.; Wachtel, V.; Fleischmann, K.
2008
Limit theorems for probabilities of large deviations of a critical Galton - Watson process having power tails. Zbl 1156.60070
Wachtel, V. I.
2008
On sums of independent random variables without power moments. Zbl 1224.60099
Nagaev, S. V.; Vakhtel’, V. I.
2008
Lower deviation probabilities for supercritical Galton-Watson processes. Zbl 1112.60066
Fleischmann, Klaus; Wachtel, Vitali
2007
The critical Galton-Watson process without further power moments. Zbl 1141.60049
Nagaev, S. V.; Wachtel, V.
2007
Probability inequalities for a critical Galton-Watson process. Zbl 1331.60173
Nagaev, S. V.; Vakhtel, V.
2006
On the local limit theorem for a critical Galton-Watson process. Zbl 1116.60047
Nagaev, S. V.; Vakhtel, V. I.
2006
Large scale localization of a spatial version of Neveu’s branching process. Zbl 1107.60052
Fleischmann, Klaus; Wachtel, Vitali
2006
Limit theorems for probabilities of large deviations of a Galton-Watson process. Zbl 1102.60316
Nagaev, S. V.; Vakhtel’, V. I.
2003
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#### Cited by 217 Authors

 22 Wachtel, Vitali I. 10 Denisov, Denis E. 8 Raschel, Kilian 7 Vatutin, Vladimir Alekseevich 6 Mishna, Marni 5 D’yakonova, Elena Evgen’evna 5 Grama, Ion G. 5 Ioffe, Dmitry 5 Zwart, Bert P. 4 Fleischmann, Klaus 4 Korshunov, Dmitry 4 Le Page, Emile 4 Uchiyama, Kôhei 3 Aidekon, Elie E. F. 3 Angel, Omer 3 Doney, Ronald Arthur 3 Gao, Zhenlong 3 Lauvergnat, Ronan 3 Li, Wenbo V. 3 Melczer, Stephen 3 Mörters, Peter 3 Mustapha, Sami 3 Mytnik, Leonid 3 Ren, Yanxia 3 Sidorova, Nadia 3 Zhang, Mei 2 Abraham, Romain 2 Aurzada, Frank 2 Balka, Richárd 2 Bansaye, Vincent 2 Barczy, Mátyás 2 Berger, Quentin 2 Blanchet, Jose H. 2 Böinghoff, Christian 2 Bostan, Alin 2 Bousquet-Mélou, Mireille 2 Boxma, Onno Johan 2 Caputo, Pietro 2 Caravenna, Francesco 2 Carmona, Philippe 2 Chu, WeiJuan 2 Courtiel, Julien 2 Curien, Nicolas 2 Deuschel, Jean-Dominique 2 Döring, Leif 2 Duraj, Jetlir 2 Garbit, Rodolphe 2 Gwynne, Ewain 2 He, Hui 2 Holden, Nina 2 Hu, Yueyun 2 Liu, Jingning 2 Löwe, Matthias 2 Mallein, Bastien 2 Peres, Yuval 2 Pétrélis, Nicolas 2 Sakhanenko, Aleksandr Ivanovich 2 Salvy, Bruno 2 Sifi, Mohamed 2 Sun, Xin 2 Trotignon, Amélie 2 Velenik, Yvan 2 Vysotsky, Vladislav V. 2 Wade, Andrew R. 2 Weissmann, Philip 2 Yang, Xu 1 Albert, Michael Henry 1 Amini, Hamed 1 Andreoletti, Pierre 1 Asogwa, Sunday A. 1 Asselah, Amine 1 Bacher, Axel 1 Bahlali, Khaled 1 Barbe, Philippe 1 Barker, Adam 1 Ben Salem, Nejib 1 Berestycki, Nathanaël 1 Bertoin, Jean 1 Bobkov, Sergey Germanovich 1 Bogdan, Krzysztof 1 Bogoşel, Beniamin 1 Bosze, Zsuzsanna 1 Buchholz, Simon 1 Budd, Timothy A. 1 Cabezas, Manuel 1 Chen, Xia 1 Chen, Xinxin 1 Chistyakov, Gennadiy P. 1 Chyzak, Frédéric 1 Cygan, Wojciech 1 Dahne, Joel 1 Debs, Pierre 1 Delmas, Jean-François 1 Diaconis, Persi Warren 1 Diel, Roland 1 Dobrokhotov, Sergei Yurievich 1 Doney, Ron 1 Lodewijk Dorsman, Jan-Pieter 1 Eichelsbacher, Peter 1 Erschler, Anna ...and 117 more Authors
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#### Cited in 52 Serials

 20 Stochastic Processes and their Applications 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Probability Theory and Related Fields 11 The Annals of Probability 9 Theory of Probability and its Applications 8 Journal of Applied Probability 6 Electronic Journal of Probability 5 Journal of Theoretical Probability 5 Queueing Systems 4 Advances in Applied Probability 4 Journal of Combinatorial Theory. Series A 4 Electronic Communications in Probability 3 European Journal of Combinatorics 3 Statistics & Probability Letters 3 The Annals of Applied Probability 3 Bernoulli 3 Acta Mathematica Sinica. English Series 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Journal of Statistical Physics 2 Mathematical Notes 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Algorithmica 2 Brazilian Journal of Probability and Statistics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Science China. Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Theoretical and Mathematical Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Journal of Complexity 1 Revista Matemática Iberoamericana 1 SIAM Journal on Discrete Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 The Electronic Journal of Combinatorics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 Stochastic Models 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Thai Journal of Mathematics 1 Journal of Mathematical Inequalities 1 International Journal of Stochastic Analysis 1 Modern Stochastics. Theory and Applications 1 Journal de l’École Polytechnique – Mathématiques 1 Annales Henri Lebesgue
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#### Cited in 26 Fields

 154 Probability theory and stochastic processes (60-XX) 21 Combinatorics (05-XX) 16 Statistical mechanics, structure of matter (82-XX) 6 Statistics (62-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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