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Wachtel Vitalii

Publications in Math-Net.Ru

  1. Crossing an Asymptotically Square-Root Boundary by the Brownian Motion

    Trudy Mat. Inst. Steklova, 316 (2022),  113–128
  2. 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
  3. 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
  4. Multi-type subcritical branching processes in a random environment

    Adv. in Appl. Probab., 50:1 (2018),  281–289
  5. First-passage times over moving boundaries for asymptotically stable walks

    Teor. Veroyatnost. i Primenen., 63:4 (2018),  755–778
  6. 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
  7. Local probabilities for random walks with negative drift conditioned to stay nonnegative

    Electron. J. Probab., 19 (2014),  88–17
  8. Tail asymptotics for the supercritical Galton–Watson process in the heavy-tailed case

    Trudy Mat. Inst. Steklova, 282 (2013),  288–314
  9. General approach to the maximum of a random walk under heavy upload

    Teor. Veroyatnost. i Primenen., 55:2 (2010),  335–344
  10. Sudden extinction of the critical branching process in random environment

    Teor. Veroyatnost. i Primenen., 54:3 (2009),  417–438
  11. On sums of independent random variables without power moments

    Sibirsk. Mat. Zh., 49:6 (2008),  1369–1380
  12. 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
  13. Critical Galton–Watson process: The maximum of total progenies within a large window

    Teor. Veroyatnost. i Primenen., 52:3 (2007),  419–445
  14. On the local limit theorem for critical Galton–Watson process

    Teor. Veroyatnost. i Primenen., 50:3 (2005),  457–479
  15. Probability inequalities for the Galton–Watson critical process

    Teor. Veroyatnost. i Primenen., 50:2 (2005),  266–291
  16. Limit theorems for probabilities of large deviations of a Galton-Watson process

    Diskr. Mat., 15:1 (2003),  3–27
  17. 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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