All Stories

  1. Precise Tail Behaviour of Some Dirichlet Series

    Article • Journal of Theoretical Probability, March 2024, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  2. A law of the iterated logarithm for small counts in Karlin’s occupancy scheme

    Article • Modern Stochastics Theory and Applications, January 2024, VTeX

    Prof Dr Alexander Iksanov

  3. Limit theorems for random Dirichlet series

    Article • Stochastic Processes and their Applications, November 2023, Elsevier

    Prof Dr Alexander Iksanov

  4. A Limit Theorem for a Nested Infinite Occupancy Scheme in Random Environment

    Article • Austrian Journal of Statistics, August 2023, Austrian Statistical Society

    Prof Dr Alexander Iksanov

  5. Functional limit theorems for random walks perturbed by positive alpha-stable jumps

    Article • Bernoulli, May 2023, Bernoulli Society for Mathematical Statistics and Probability

    Prof Dr Alexander Iksanov

  6. Recurrence and transience of random difference equations in the critical case

    Article • Annales de l Institut Henri Poincaré Probabilités et Statistiques, May 2023, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  7. On a skew stable Lévy process

    Article • Stochastic Processes and their Applications, February 2023, Elsevier

    Prof Dr Alexander Iksanov

  8. Limit theorems for discounted convergent perpetuities II

    Article • Electronic Journal of Probability, January 2023, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  9. Critical branching processes in a sparse random environment

    Article • Modern Stochastics Theory and Applications, January 2023, VTeX

    Prof Dr Alexander Iksanov

  10. Small counts in nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions

    Article • Stochastic Processes and their Applications, November 2022, Elsevier

    Prof Dr Alexander Iksanov

  11. Renewal theory for iterated perturbed random walks on a general branching process tree: Early generations

    Article • Journal of Applied Probability, September 2022, Cambridge University Press

    Prof Dr Alexander Iksanov

  12. Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree*

    Article • Lithuanian Mathematical Journal, August 2022, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  13. Asymptotics of Arithmetic Functions of GCD and LCM of Random Integers in Hyperbolic Regions

    Article • Results in Mathematics, June 2022, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  14. Central limit theorem for the least common multiple of a uniformly sampled m-tuple of integers

    Article • Journal of Number Theory, April 2022, Elsevier

    Prof Dr Alexander Iksanov

  15. A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions

    Article • Journal of Mathematical Analysis and Applications, March 2022, Elsevier

    Prof Dr Alexander Iksanov

  16. Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations

    Article • Journal of Applied Probability, February 2022, Cambridge University Press

    Prof Dr Alexander Iksanov

  17. On intermediate levels of a nested occupancy scheme in a random environment generated by stick-breaking II

    Article • Stochastics, January 2022, Taylor & Francis

    Prof Dr Alexander Iksanov

  18. Late levels of nested occupancy scheme in random environment

    Article • Stochastic Models, October 2021, Taylor & Francis

    Prof Dr Alexander Iksanov

  19. Functional limit theorems for discounted exponential functional of random walk and discounted convergent perpetuity

    Article • Statistics & Probability Letters, September 2021, Elsevier

    Prof Dr Alexander Iksanov

  20. On the derivative martingale in a branching random walk

    Article • The Annals of Probability, April 2021, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  21. Функціональна гранична теорема без центрування для загальних процесів дробового ефекту

    Article • Ukrains’kyi Matematychnyi Zhurnal, February 2021, Institute of Mathematics National Academy of Sciences of Ukraine

    Prof Dr Alexander Iksanov

  22. Limit theorems for discounted convergent perpetuities

    Article • Electronic Journal of Probability, January 2021, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  23. Gaussian fluctuations and a law of the iterated logarithm for Nerman’s martingale in the supercritical general branching process

    Article • Electronic Journal of Probability, January 2021, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  24. A functional limit theorem for general shot noise processes

    Article • Journal of Applied Probability, March 2020, Cambridge University Press

    Prof Dr Alexander Iksanov

  25. Weak convergence of random processes with immigration at random times

    Article • Journal of Applied Probability, March 2020, Cambridge University Press

    Prof Dr Alexander Iksanov

  26. On nested infinite occupancy scheme in random environment

    Article • Probability Theory and Related Fields, February 2020, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  27. On L-convergence of the Biggins martingale with complex parameter

    Article • Journal of Mathematical Analysis and Applications, November 2019, Elsevier

    Prof Dr Alexander Iksanov

  28. Stable-like fluctuations of Biggins’ martingales

    Article • Stochastic Processes and their Applications, December 2018, Elsevier

    Prof Dr Alexander Iksanov

  29. On perpetuities with gamma-like tails

    Article • Journal of Applied Probability, June 2018, Cambridge University Press

    Prof Dr Alexander Iksanov

  30. Functional limit theorems for the number of busy servers in a G/G/∞ queue

    Article • Journal of Applied Probability, March 2018, Cambridge University Press

    Pr Fethi Bouzeffour, Prof Dr Alexander Iksanov, Wissem Jedidi

  31. Functional limit theorems for Galton–Watson processes with very active immigration

    Article • Stochastic Processes and their Applications, January 2018, Elsevier

    Prof Dr Alexander Iksanov

  32. A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve

    Article • Statistics & Probability Letters, July 2017, Elsevier

    Prof Dr Alexander Iksanov

  33. Asymptotics of random processes with immigration I: Scaling limits

    Article • Bernoulli, May 2017, Bernoulli Society for Mathematical Statistics and Probability

    Prof Dr Alexander Iksanov

  34. Asymptotics of random processes with immigration II: Convergence to stationarity

    Article • Bernoulli, May 2017, Bernoulli Society for Mathematical Statistics and Probability

    Prof Dr Alexander Iksanov

  35. Functional limit theorems for the number of occupied boxes in the Bernoulli sieve

    Article • Stochastic Processes and their Applications, March 2017, Elsevier

    Prof Dr Alexander Iksanov

  36. Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the M 1-topology

    Article • Extremes, February 2017, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  37. Fractionally integrated inverse stable subordinators

    Article • Stochastic Processes and their Applications, January 2017, Elsevier

    Prof Dr Alexander Iksanov

  38. Moment convergence of first-passage times in renewal theory

    Article • Statistics & Probability Letters, December 2016, Elsevier

    Prof Dr Alexander Iksanov

  39. A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk

    Article • Journal of Applied Probability, December 2016, Cambridge University Press

    Prof Dr Alexander Iksanov

  40. Weak convergence of renewal shot noise processes in the case of slowly varying normalization

    Article • Statistics & Probability Letters, July 2016, Elsevier

    Prof Dr Alexander Iksanov

  41. Local universality for real roots of random trigonometric polynomials

    Article • Electronic Journal of Probability, January 2016, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  42. Renewal Theory for Perturbed Random Walks and Similar Processes

    Article • January 2016, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  43. Rate of convergence in the law of large numbers for supercritical general multi-type branching processes

    Article • Stochastic Processes and their Applications, February 2015, Elsevier

    Prof Dr Alexander Iksanov

  44. Functional limit theorems for divergent perpetuities in the contractive case

    Article • Electronic Communications in Probability, January 2015, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  45. On the maximum of a perturbed random walk

    Article • Statistics & Probability Letters, September 2014, Elsevier

    Prof Dr Alexander Iksanov

  46. A survey on the asymptotic behavior of beta coalescents

    Article • Advances in Applied Probability, June 2014, Cambridge University Press

    Professor Martin Möhle, Prof Dr Alexander Iksanov

  47. Limit theorems for renewal shot noise processes with eventually decreasing response functions

    Article • Stochastic Processes and their Applications, June 2014, Elsevier

    Prof Dr Alexander Iksanov

  48. Functional limit theorems for renewal shot noise processes with increasing response functions

    Article • Stochastic Processes and their Applications, June 2013, Elsevier

    Prof Dr Alexander Iksanov

  49. Power and Exponential Moments of the Number of Visits and Related Quantities for Perturbed Random Walks

    Article • Journal of Theoretical Probability, January 2013, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  50. A Generalization of the Erdős–Turán Law for the Order of Random Permutation

    Article • Combinatorics Probability Computing, July 2012, Cambridge University Press

    Prof Dr Alexander Iksanov

  51. On the number of empty boxes in the Bernoulli sieve II

    Article • Stochastic Processes and their Applications, July 2012, Elsevier

    Prof Dr Alexander Iksanov

  52. Regenerative compositions in the case of slow variation: A renewal theory approach

    Article • Electronic Journal of Probability, January 2012, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  53. Moments of Random Sums and Robbins' Problem of Optimal Stopping

    Article • Journal of Applied Probability, December 2011, Cambridge University Press

    Prof Dr Alexander Iksanov

  54. On Λ-Coalescents with Dust Component

    Article • Journal of Applied Probability, December 2011, Cambridge University Press

    Prof Dr Alexander Iksanov

  55. Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks

    Article • Journal of Applied Probability, June 2010, Cambridge University Press

    Prof Dr Alexander Iksanov

  56. On the number of collisions in beta(2, b )-coalescents

    Article • Bernoulli, August 2009, Bernoulli Society for Mathematical Statistics and Probability

    Professor Martin Möhle, Prof Dr Alexander Iksanov

  57. The Bernoulli sieve revisited

    Article • The Annals of Applied Probability, August 2009, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  58. A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree

    Article • Random Structures and Algorithms, May 2009, Wiley

    Prof Dr Alexander Iksanov, Professor Martin Möhle

  59. A Log-Type Moment Result for Perpetuities and Its Application to Martingales in Supercritical Branching Random Walks

    Article • Electronic Journal of Probability, January 2009, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  60. On asymptotics of exchangeable coalescents with multiple collisions

    Article • Journal of Applied Probability, December 2008, Cambridge University Press

    Professor Martin Möhle, Prof Dr Alexander Iksanov

  61. A note on non-regular martingales

    Article • Statistics & Probability Letters, December 2008, Elsevier

    Prof Dr Alexander Iksanov

  62. On Distributional Properties of Perpetuities

    Article • Journal of Theoretical Probability, April 2008, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  63. On the number of jumps of random walks with a barrier

    Article • Advances in Applied Probability, March 2008, Cambridge University Press

    Prof Dr Alexander Iksanov, Professor Martin Möhle

  64. Asymptotic results concerning the total branch length of the Bolthausen–Sznitman coalescent

    Article • Stochastic Processes and their Applications, October 2007, Elsevier

    Prof Dr Alexander Iksanov, Professor Martin Möhle

  65. A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree

    Article • Electronic Communications in Probability, February 2007, Institute of Mathematical Statistics

    Professor Martin Möhle, Prof Dr Alexander Iksanov

  66. Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities

    Article • Ukrainian Mathematical Journal, April 2006, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  67. On the rate of convergence of a regular martingale related to a branching random walk

    Article • Ukrainian Mathematical Journal, March 2006, Springer Science + Business Media

    Prof Dr Alexander Iksanov

  68. THE HURWITZ ZETA DISTRIBUTION

    Article • Australian & New Zealand Journal of Statistics, March 2006, Wiley

    Prof Dr Alexander Iksanov

  69. Infinite divisibility of infinite sums of lower records: a simple proof

    Article • Journal of Applied Probability, December 2004, Cambridge University Press

    Prof Dr Alexander Iksanov

  70. Elementary fixed points of the BRW smoothing transforms with infinite number of summands

    Article • Stochastic Processes and their Applications, November 2004, Elsevier

    Prof Dr Alexander Iksanov

  71. On a Pitman–Yor problem

    Article • Statistics & Probability Letters, June 2004, Elsevier

    Prof Dr Alexander Iksanov

  72. A new factorization property of the selfdecomposable probability measures

    Article • The Annals of Probability, April 2004, Institute of Mathematical Statistics

    Prof Dr Alexander Iksanov

  73. The Generalized CCR: Representations and Enveloping C*-Algebra

    Article • Reviews in Mathematical Physics, June 2003, World Scientific Pub Co Pte Lt

    Prof Dr Alexander Iksanov

  74. Shot Noise Distributions and Selfdecomposability

    Article • Stochastic Analysis and Applications, January 2003, Taylor & Francis

    Prof Dr Alexander Iksanov

  75. On fixed points of Poisson shot noise transforms

    Article • Advances in Applied Probability, December 2002, Cambridge University Press

    Prof Dr Alexander Iksanov