All Stories

  1. Isotropic evolution process with Gauss-distributed particle position in ℝd

    Article • Journal of Mathematical Sciences, February 2024, Springer Science + Business Media

    Anatoliy Pogorui

  2. Cox-Based and Elliptical Telegraph Processes and Their Applications

    Article • Risks, July 2023, MDPI AG

    Anatoliy Pogorui

  3. Telegraph Process on a Hyperbola

    Article • Journal of Statistical Physics, July 2023, Springer Science + Business Media

    Anatoliy Pogorui

  4. Asymptotic Estimation of Two Telegraph Particle Collisions and Spread Options Valuations

    Article • Mathematics, June 2022, MDPI AG

    Anatoliy Pogorui

  5. Stationary density function for a random evolution driven by a Markov-switching Ornstein–Uhlenbeck process with finite velocity

    Article • Random Operators and Stochastic Equations, April 2022, De Gruyter

    Anatoliy Pogorui

  6. Transformations of Telegraph Processes and Their Financial Applications

    Article • Risks, August 2021, MDPI AG

    Anatoliy Pogorui

  7. Distribution of random motion at renewal instants in three-dimensional space

    Article • Journal of Mathematical Sciences, March 2021, Springer Science + Business Media

    Anatoliy Pogorui

  8. Random Motions in Markov and Semi‐Markov Random Environments 1

    Article • January 2021, Wiley

    Anatoliy Pogorui

  9. Random Motions in Markov and Semi‐Markov Random Environments 2

    Article • January 2021, Wiley

    Anatoliy Pogorui

  10. Differential and integral equations for jump random motions

    Article • Theory of Probability and Mathematical Statistics, January 2021, American Mathematical Society (AMS)

    Anatoliy Pogorui

  11. Series expansions for monogenic functions in Clifford algebras and their application

    Article • Journal of Mathematical Sciences, January 2021, Springer Science + Business Media

    Anatoliy Pogorui

  12. Distribution of random motion at renewal instants in three-dimensional space

    Article • Ukrainian Mathematical Bulletin, December 2020, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

    Anatoliy Pogorui

  13. Series expansions for monogenic functions in Clifford algebras and their application

    Article • Ukrainian Mathematical Bulletin, September 2020, Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

    Anatoliy Pogorui

  14. On Quaternionic Measures

    Article • Advances in Applied Clifford Algebras, August 2020, Springer Science + Business Media

    Anatoliy Pogorui

  15. Goldstein-Kac telegraph equations and random flights in higher dimensions

    Article • Applied Mathematics and Computation, November 2019, Elsevier

    Anatoliy Pogorui

  16. Some systems of PDEs are studied by using the properties of differentiable functions on algebras.

    Article • Journal of Mathematical Sciences, April 2019, Springer Science + Business Media

    Anatoliy Pogorui

  17. Interaction of particles governed by generalized integrated telegraph processes

    Article • Random Operators and Stochastic Equations, December 2018, De Gruyter

    Anatoliy Pogorui

  18. The distribution of random motion at non-constant velocity in semi-Markov media

    Article • Random Operators and Stochastic Equations, January 2017, De Gruyter

    Anatoliy Pogorui

  19. Solutions of some partial differential equations with variable coefficients by properties of monogenic functions

    Article • Journal of Mathematical Sciences, December 2016, Springer Science + Business Media

    Anatoliy Pogorui

  20. The First Passage Time and Estimation of the Number of Level-Crossings for a Telegraph Process

    Article • Ukrainian Mathematical Journal, December 2015, Springer Science + Business Media

    Anatoliy Pogorui

  21. The distribution of random motion with Erlang-3 sojourn times

    Article • Random Operators and Stochastic Equations, January 2015, De Gruyter

    Mrs Tamila Yu Kolomiiets, Anatoliy Pogorui

  22. Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras

    Article • Mathematical Methods in the Applied Sciences, November 2013, Wiley

    Anatoliy Pogorui

  23. Random motion with gamma steps in higher dimensions

    Article • Statistics & Probability Letters, July 2013, Elsevier

    Anatoliy Pogorui

  24. An algebraic method for solving the multiwave Helmholtz equation

    Article • Complex Variables and Elliptic Equations, July 2012, Taylor & Francis

    Anatoliy Pogorui

  25. Random Motion with Uniformly Distributed Directions and Random Velocity

    Article • Journal of Statistical Physics, June 2012, Springer Science + Business Media

    Anatoliy Pogorui

  26. Evolution in multidimensional spaces

    Article • Random Operators and Stochastic Equations, January 2012, De Gruyter

    Anatoliy Pogorui

  27. Isotropic Random Motion at Finite Speed with K-Erlang Distributed Direction Alternations

    Article • Journal of Statistical Physics, September 2011, Springer Science + Business Media

    Anatoliy Pogorui

  28. Multidimensional random motion with uniformly distributed changes of direction and erlang steps

    Article • Ukrainian Mathematical Journal, September 2011, Springer Science + Business Media

    Anatoliy Pogorui

  29. Fading evolutions in multidimensional spaces

    Article • Ukrainian Mathematical Journal, April 2011, Springer Science + Business Media

    Anatoliy Pogorui

  30. Asymptotic expansion for transport processes in semi-Markov media

    Article • Theory of Probability and Mathematical Statistics, January 2011, American Mathematical Society (AMS)

    Anatoliy Pogorui

  31. Asymptotic analysis of phase averaging of a transport process

    Article • Ukrainian Mathematical Journal, September 2010, Springer Science + Business Media

    Anatoliy Pogorui

  32. Stationary Distribution of Random Motion with Delay in Reflecting Boundaries

    Article • Applied Mathematics, January 2010, Scientific Research Publishing, Inc,

    Anatoliy Pogorui

  33. Limiting distribution of fading evolution in some semi-Markov media

    Article • Ukrainian Mathematical Journal, December 2009, Springer Science + Business Media

    Anatoliy Pogorui

  34. Stationary distributions of fading evolutions

    Article • Ukrainian Mathematical Journal, March 2009, Springer Science + Business Media

    Anatoliy Pogorui

  35. Asymptotic expansion for the distribution of a Markovian random motion

    Article • Random Operators and Stochastic Equations, January 2009, De Gruyter

    Anatoliy Pogorui

  36. Evolution process as an alternative to diffusion process and Black–Scholes Formula

    Article • Random Operators and Stochastic Equations, January 2009, De Gruyter

    Anatoliy Pogorui

  37. T-Convolution and its applications to n-dimensional distributions

    Article • Random Operators and Stochastic Equations, January 2009, De Gruyter

    Anatoliy Pogorui

  38. Some Algebraic and Analytical Properties of Coquaternion Algebra

    Article • Advances in Applied Clifford Algebras, November 2008, Springer Science + Business Media

    Anatoliy Pogorui

  39. Stationary Effectiveness of an Information Server with a Single Buffer and Bursty Demands of Two Different Customers

    Article • Stochastic Models, November 2008, Taylor & Francis

    Anatoliy Pogorui

  40. On the set of zeros of bihyperbolic polynomials

    Article • Complex Variables and Elliptic Equations, July 2008, Taylor & Francis

    Anatoliy Pogorui

  41. Hyperholomorphic functions on commutative algebras

    Article • Complex Variables and Elliptic Equations, December 2007, Taylor & Francis

    Anatoliy Pogorui

  42. Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer

    Article • Random Operators and Stochastic Equations, January 2007, De Gruyter

    Anatoliy Pogorui

  43. Limiting distribution of random motion in a n-dimensional parallelepiped

    Article • Random Operators and Stochastic Equations, December 2006, De Gruyter

    Anatoliy Pogorui

  44. On the set of zeros of bicomplex polynomials

    Article • Complex Variables and Elliptic Equations, July 2006, Taylor & Francis

    Anatoliy Pogorui

  45. Stationary distribution of a process of random semi-Markov evolution with delaying screens in the case of balance

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

    Anatoliy Pogorui

  46. Limiting distribution of random motion in a n-dimensional parallelepiped

    Article • Random Operators and Stochastic Equations, January 2006, De Gruyter

    Anatoliy Pogorui

  47. One-dimensional semi-Markov evolutions with general Erlang sojourn times

    Article • Random Operators and Stochastic Equations, December 2005, De Gruyter

    Anatoliy Pogorui

  48. One-dimensional semi-Markov evolutions with general Erlang sojourn times

    Article • Random Operators and Stochastic Equations, January 2005, De Gruyter

    Anatoliy Pogorui

  49. Estimation of the Efficiency of a Data Transmission Line with the Feedback

    Article • Journal of Automation and Information Sciences, January 2004, Begell House

    Anatoliy Pogorui

  50. Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states

    Article • Ukrainian Mathematical Journal, November 1994, Springer Science + Business Media

    Anatoliy Pogorui

  51. Limit-ill-posed equations in a Hilbert space

    Article • Ukrainian Mathematical Journal, February 1991, Springer Science + Business Media

    Anatoliy Pogorui

  52. The stationary measure of the stochastic transport process with reflecting barriers in a semi-Markov environment

    Article • Theory of Probability and Mathematical Statistics, American Mathematical Society (AMS)

    Anatoliy Pogorui