Reseach Interests:

• Branching Processes
• Large Deviations
• Random Walks

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Publications and Preprints:

• S.V. Nagaev, L.V. Nedorezov and V.I. Vakhtel.
  A probabilistic continuous-discrete model of the dynamics of the size of an isolated population. (in Russian)
  Sib. Zh. Ind. Mat. 2(1999), no. 2, 147--152.

• S.V. Nagaev and V.I. Vakhtel.
  Limit theorems for probabilities of large deviations of a Galton-Watson process. (in Russian)
  Diskret. Mat. 15(2003), no. 1, 3--27;
  English translation in Discrete Math. Appl. 13(2003), no. 1, 1--26.

• S.V. Nagaev and V.I. Vakhtel.
  Probability inequalities for critical Galton-Watson processes. (in Russian)
  Teor. Verojatn. i Primenen. 50(2005), no.2, 266-291.
  English translation in Theory Probab. Appl. 50(2006), no.2, 225-247.
  Article.

• S.V. Nagaev and V.I. Vakhtel.
  On the local limit theorem for critical Galton-Watson processes. (in Russian)
  Teor. Verojatn. i Primenen. 50(2005), no.3, 457 - 479.
  English translation in Theory Probab. Appl. 50(2006), no.3, 400-419.
  Article.

• K. Fleischmann and V. Wachtel.
  Large scale localization of a spatial version of Neveu's branching process.
  Stochastic Process. Appl. 116(2006), 983-1011.
  WIAS Preprint no. 951. Article.

• K. Fleischmann, P. Mörters and V. Wachtel.
  Hydrodynamic limit fluctuations of super-Brownian motion with a stable catalyst.
  Electron. J. Probab., 11(2006), 723 - 767.
  WIAS Preprint no. 1052. Article.

• S.V. Nagaev and V.I. Vakhtel.
  On a sum of independent random variables without power moments.
  Doklady Mathematics, 74(2006), 683-685.
  Article.

• K. Fleischmann and V. Wachtel.
  Lower deviation probabilities for supercritical Galton-Watson processes.
  Ann. Inst. H. Poincare Probab. Statist., 43(2007), 233-255.
  WIAS Preprint no. 1025. Article.

• S.V. Nagaev and V. Wachtel.
  The critical Galton-Watson process without further power moments.
  J. Appl. Probab., 44(2007), 753-769.
  WIAS Preprint no. 1062. Article.

• K. Fleischmann, V. Vatutin and V. Wachtel.
  Critical Galton-Watson processes: The maximum of total progenies within a large window. (in Russian)
  Teor. Verojatn. i Primenen. 52(2007), no.3, 419 - 445.
  English translation in Theory Probab. Appl. 52(2008), no.3, 470-492.
  WIAS Preprint no. 1091. Article.

• V. Wachtel.
  Limit theorems for large deviation probabilities for critical Galton-Watson processes with power tails.
  (in Russian)
  Teor. Verojatn. i Primenen. 52(2007), no.4, 644 - 659.
  English translation in Theory Probab. Appl. 52(2008), no.4, 674-688.
  Article.

• K. Fleischmann and V. Wachtel.
  Large deviations for sums indexed by the generations of a Galton-Watson process.
  Probab. Theory Related Fields, 141(2008), 445--470.
  WIAS Preprint no. 1135. Article.

• K. Fleischmann, P. Mörters and V. Wachtel.
  Moderate deviations for random walk in random scenery.
  Stochastic Process. Appl., 118(2008), 1768-1802.
  WIAS Preprint no. 1167. Article.

• S.V. Nagaev and V.I. Vakhtel.
  On sums of independent random variables without power moments.
  Siberian Math. J. 49(2008), 1091-1100.
  Article.

• K. Fleischmann and V. Wachtel.
  On the left tail asymptotics for the limit of supercritical Galton-Watson processes in the Böttcher case.
  Ann. Inst. H. Poincare Probab. Statist., 45(2009), 201-225.
  WIAS Preprint no. 1224. Article.

• V. Vatutin and V. Wachtel.
  Local probabilities for random walks conditioned to stay positive.
  Probab. Theory Related Fields, 143(2009), 177-217.
  ArXiv Preprint. Article.

• V. Wachtel.
  Transition phenomena for ladder epochs of random walks with small negative drift.
  Adv. Appl. Probab., 41(2009), 1189-1214.
  Article.

• V. Vatutin and V. Wachtel.
  Sudden extinction of a critical branching process in random environment.
  Teor. Verojatn. i Primenen. 54(2009), no.3, 418-438.
  English translation in Theory Probab. Appl. 54(2010), no.3, 466-484.
  ArXiv Preprint. Article.

• D. Denisov and V. Wachtel.
  Conditional limit theorems for ordered random walks.
  Electron. J. Probab. 15(2010), 292-322.
  Article.

• K. Fleischmann, L. Mytnik and V. Wachtel.
  Optimal Hölder index for density states of superprocesses with (1+\beta)-branching mechanism.
  Ann. Probab. 38(2010), 1180-1220.
  WIAS Preprint no. 1327. Article.

• S. Shneer and V. Wachtel.
  Heavy-traffic analysis of the maximum of an asymptotically stable random walk.
  Teor. Verojatn. i Primenen. 55(2010), no. 2, 335-344.
  English translation in Theory Probab. Appl. 55(2011), no. 2, 332-341
  ArXiv Preprint. Article.

• N. Gantert, P. Mörters and V. Wachtel.
  Trap models with vanishing drift: Scaling limits and aging regimes.
  ALEA, 7(2010), 477-501.
  Article.

• K. Fleischmann, L. Mytnik and V. Wachtel.
  Hölder index for density states of (\alpha,1,\beta)-superprocesses at a given point.
  J. Theor. Probab. 24(2011), 66-92.
  Article.

• D. Denisov and V. Wachtel.
  Ordered random walks with heavy tails.
  Electron. J. Probab. 17(2012), Article no. 4, 1-21.
  Article.

• D. Denisov and V. Wachtel.
  Martingale approach to subexponential asymptotics for random walks.
  Electron. Commun. Probab. 17(2012), Article no. 6, 1-9.
  Article.

• V. Wachtel.
  Local limit theorem for the maximum of asymptotically stable random walks
  Probab. Theory Related Fields, 152(2012), 407-424.
  Article.

• J. Kugler and V. Wachtel.
  Upper bounds for the maximum of a random walk with negative drift .
  ArXiv Preprint.

• D. Denisov and V. Wachtel.
  Random walks in cones.
  ArXiv Preprint.

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