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Publications in Math-Net.Ru |
Citations |
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2022 |
| 1. |
Denis E. Denisov, Günter Hinrichs, Alexander I. Sakhanenko, Vitali I. Wachtel, “Crossing an Asymptotically Square-Root Boundary by the Brownian Motion”, Trudy Mat. Inst. Steklova, 316 (2022), 113–128  ; Proc. Steklov Inst. Math., 316 (2022), 105–120  |
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| 2. |
E. Perfilev, V. Waсhtel, “Local tail asymptotics for the joint distribution of the length and of the maximum of a random walk excursion”, Teor. Veroyatnost. i Primenen., 67:2 (2022), 365–383   ; Theory Probab. Appl., 67:2 (2022), 294–309 |
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2021 |
| 3. |
A. I. Sakhanenko, V. I. Wachtel, E. I. Prokopenko, A. D. Shelepova, “On the asymptotics of the distribution of the exit time beyond a non-increasing boundary for a compound renewal process”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 9–26 |
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2018 |
| 4. |
Vladimir Vatutin, Vitali Wachtel, “Multi-type subcritical branching processes in a random environment”, Adv. in Appl. Probab., 50:1 (2018), 281–289  |
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| 5. |
D. Denisov, A. Sakhanenko, V. Wachtel, “First-passage times over moving boundaries for asymptotically stable walks”, Teor. Veroyatnost. i Primenen., 63:4 (2018), 755–778  ; Theory Probab. Appl., 63:4 (2019), 613–633 |
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2015 |
| 6. |
V. I. Vakhtel', D. È. Denisov, “Exact asymptotics for the instant of crossing a curved boundary by an asymptotically stable random walk”, Teor. Veroyatnost. i Primenen., 60:3 (2015), 459–481 ; Theory Probab. Appl., 60:3 (2016), 481–500 |
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2014 |
| 7. |
D. Denisov, V. Vatutin, V. Wachtel, “Local probabilities for random walks with negative drift conditioned to stay nonnegative”, Electron. J. Probab., 19 (2014), 88–17 |
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2013 |
| 8. |
V. I. Wachtel, D. E. Denisov, D. A. Korshunov, “Tail asymptotics for the supercritical Galton–Watson process in the heavy-tailed case”, Trudy Mat. Inst. Steklova, 282 (2013), 288–314 ; Proc. Steklov Inst. Math., 282 (2013), 273–297 |
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2010 |
| 9. |
V. I. Vakhtel', V. V. Shneer, “General approach to the maximum of a random walk under heavy upload”, Teor. Veroyatnost. i Primenen., 55:2 (2010), 335–344 ; Theory Probab. Appl., 55:2 (2011), 332–341 |
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2009 |
| 10. |
V. A. Vatutin, V. I. Vakhtel', “Sudden extinction of the critical branching process in random environment”, Teor. Veroyatnost. i Primenen., 54:3 (2009), 417–438 ; Theory Probab. Appl., 54:3 (2010), 466–484 |
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2008 |
| 11. |
S. V. Nagaev, V. I. Vakhtel', “On sums of independent random variables without power moments”, Sibirsk. Mat. Zh., 49:6 (2008), 1369–1380 ; Siberian Math. J., 49:6 (2008), 1091–1100 |
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2007 |
| 12. |
V. I. Vakhtel', “Limit Theorems for Probabilities of Large Deviations of a Critical Galton–Watson Process Having Power Tails”, Teor. Veroyatnost. i Primenen., 52:4 (2007), 644–659 ; Theory Probab. Appl., 52:4 (2008), 674–688 |
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| 13. |
V. A. Vatutin, V. I. Vakhtel', K. Fleischmann, “Critical Galton–Watson process: The maximum of total progenies within a large window”, Teor. Veroyatnost. i Primenen., 52:3 (2007), 419–445 ; Theory Probab. Appl., 52:3 (2008), 470–492 |
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2005 |
| 14. |
S. V. Nagaev, V. I. Vakhtel', “On the local limit theorem for critical Galton–Watson process”, Teor. Veroyatnost. i Primenen., 50:3 (2005), 457–479 ; Theory Probab. Appl., 50:3 (2006), 400–419 |
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| 15. |
S. V. Nagaev, V. I. Vakhtel', “Probability inequalities for the Galton–Watson critical process”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 266–291 ; Theory Probab. Appl., 50:2 (2006), 225–247 |
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2003 |
| 16. |
S. V. Nagaev, V. I. Vakhtel', “Limit theorems for probabilities of large deviations of a Galton-Watson process”, Diskr. Mat., 15:1 (2003), 3–27 ; Discrete Math. Appl., 13:1 (2003), 1–26 |
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1999 |
| 17. |
S. V. Nagaev, L. V. Nedorezov, V. I. Vakhtel', “A probabilistic continuous-discrete model of the dynamics of the size of an isolated population”, Sib. Zh. Ind. Mat., 2:2 (1999), 147–152 |
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| Presentations in Math-Net.Ru |
| 1. |
Asymptotic Expansions for First-Passage Times of an Oscillating Random Walk
Vitali Wachtel
Borovkov Meeting
August 25, 2022 17:30
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| 2. |
First-passage times for random walks with nonidentically distributed
increments
V. Wachtel
Seminar on Probability Theory and Mathematical Statistics
December 17, 2021 18:00
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| 3. |
Integrated random walks conditioned to stay positive
Vitalii Vakhtel'
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
November 16, 2021 16:00
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| 4. |
Асимптотическое поведение ветвящихся процессов с миграцией и размножением, зависящим от состояния
V. I. Vakhtel'
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
October 30, 2018 16:00
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| 5. |
Asymptotically homogeneous Markov chains II
Vitali Wachtel
Seminar of Chebyshev Laboratory on Probability Theory
October 3, 2013 15:00
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| 6. |
Asymptotically homogeneous Markov chains I
Vitali Wachtel
Seminar of Chebyshev Laboratory on Probability Theory
October 1, 2013 15:00
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| 7. |
Ordered random walks
Vitalii Vakhtel'
Seminar of Chebyshev Laboratory on Probability Theory
November 21, 2011 15:00
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| 8. |
Ordered random walks
V. Wachtel
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
September 21, 2010 15:00
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| 9. |
Критический процесс Гальтона–Ватсона без дополнительных степенных моментов
V. Wachtel
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
March 17, 2009 16:00
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| 10. |
Малые уклонения для надкритических ветвящихся процессов
V. Wachtel
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
September 5, 2006
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