Publications

Journal Articles

  1. & Fock representations of Q-deformed commutation relations. Journal of Mathematical Physics 58(7), 073501
  2. & Wick Calculus for Noncommutative White Noise Corresponding to q-Deformed Commutation Relations. Complex Analysis and Operator Theory
  3. Gauge-Invariant Quasi-Free States on the Algebra of the Anyon Commutation Relations. Communications in Mathematical Physics
  4. & Equilibrium Diffusion on the Cone of Discrete Radon Measures. Potential Analysis 44(1), 71-90.
  5. & Laplace operators on the cone of Radon measures. Journal of Functional Analysis 269(9), 2947-2976.
  6. The projection spectral theorem and Jacobi fields. Methods of Functional Analysis and Topology 21
  7. & An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions. Russian Mathematical Surveys 70
  8. & A moment problem for random discrete measures. Stochastic Processes and their Applications 125(9), 3541-3569.
  9. & A chaotic decomposition for generalized stochastic processes with independent values. Probability and Mathematical Statistics 33(2), 201-212.
  10. & Equilibrium Kawasaki dynamics and determinantal point process. Journal of Mathematical Sciences 190(3), 451-458.
  11. Determinantal point processes with $J$-Hermitian correlation kernels. The Annals of Probability 41(4), 2513-2543.
  12. & Equilibrium Kawasaki dynamics and determinantal point processes. Journal of Mathematical Sciences (New York)
  13. & Noncommutative Lévy Processes for Generalized (Particularly Anyon) Statistics. Communications in Mathematical Physics 313(2), 535-569.
  14. & Binary jumps in continuum. I. Equilibrium processes and their scaling limits. Journal of Mathematical Physics 52(6)
  15. & Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit. Journal of Mathematical Physics
  16. & A note on equilibrium Glauber and Kawasaki dynamics for permanental point processes. Methods Funct. Anal. Topology 17, 29-46.
  17. & Meixner Class of Non-commutative Generalized Stochastic Processes with Freely Independent Values II. The Generating Function. Communications in Mathematical Physics 302(2), 425-451.
  18. & Meixner Class of Non-Commutative Generalized Stochastic Processes with Freely Independent Values I. A Characterization. Communications in Mathematical Physics 292(1), 99-129.
  19. & LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS. Infinite Dimensional Analysis, Quantum Probability and Related Topics 12(03), 387
  20. & Diffusion approximation for equilibrium Kawasaki dynamics in continuum. Stochastic Processes and their Applications 118(7), 1278-1299.
  21. & A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes. Methods Funct. Anal. Topol. 14(1), 67-80.
  22. & Glauber dynamics of continuous particle systems. Annales de l'Institut Henri Poincare (B) Probability and Statistics 41(4), 685-702.
  23. ORTHOGONAL DECOMPOSITIONS FOR LÉVY PROCESSES WITH AN APPLICATION TO THE GAMMA, PASCAL, AND MEIXNER PROCESSES. Infinite Dimensional Analysis, Quantum Probability and Related Topics 06(01), 73-102.
  24. Polynomials of Meixner's type in infinite dimensions—Jacobi fields and orthogonality measures. Journal of Functional Analysis 200(1), 118
  25. & Scaling limit of stochastic dynamics in classical continuous systems. The Annals of Probability 31(3), 1494-1532.

Book Chapters

  1. & Laplace Operators in Gamma Analysis. In Stochastic and Infinite Dimensional Analysis. -147).