My research interests.

    Geometry of Banach Spaces.

    1. T. Komorowski, J. Wosko, A Remark on Retracting of a Ball Onto a Sphere in an Infinite Dimensional Hilbert Space, Math. Scand. Vol. 67 , 1990, pp. 223-227
    2. K. Goebel, T. Komorowski, Retracting Balls Onto Spheres and Minimal Displacement Problems, (1991) in Fixed Point Theory and Applications, M.A. Thera,J.B.Baillon (editors), Pitman Research Notes in Math. Series 252 pp. 155-172.

    Ergodic Theory.

    1. T. Komorowski, J. Tyrcha, Asymptotic Properties of Some Markov Operators, (1989) Bull. of the Pol. Acad. of Sci. Math. Vol. 37 , pp. 221-228
    2. T. Komorowski, Piecewise Convex Transformations Without Finite Invariant Measure, Ann. Polon. Math. Vol 54 , 1991, pp. 59-68
    3. T. Komorowski, Asymptotic Periodicity of Some Stochastically Perturbed Dynamical Systems , A.I.H.P. Prob. and Stat. Vol. 28 , 1992, pp. 165-179

    Turbulent Transport.

      Homogenization Theory.

      1. T. Komorowski, Application Of The Parametrix Method To Diffusions In A Turbulent Gaussian Enviroment, Stoch. Proc. and their Appl. Vol. 74 (1998), pp. 165-193.
      2. A. Fannjiang, T. Komorowski, A Martingale Approach to Homogenization of Unbounded Random Flows, Annals Of Prob. 25 (1997) 1872-1894.
      3. A. Fannjiang, T. Komorowski, An invariance principle for diffusions in turbulence, Annals of Prob. 27 (1999) 751-781. (This version of the manuscript is longer than the AP paper)
      4. A. Fannjiang, T. Komorowski, Turbulent Diffusion in Markovian Flows, Annals of Appl. Prob. 9 (1999) 591-610. (This version of the manuscript is longer than the AAP paper)
      5. T. Komorowski, An Abstract Lagrangian Process Related to Convection-Diffusion of a Passive Tracer in a Markovian Flow. (2000) Bull. Acad. Sci. 48 (4) 413-427.
      6. A. Fannjiang, T. Komorowski, Invariance Principle for a Diffusion in a Markov Field. (2001) Bull. Pol. Acad. Sci. 49 (1) 45-65.
      7. T. Komorowski, S. Olla, On Homogenization of Time Dependent Random Flows. Prob. Theory and Rel. Fields (2001) 121 98-116.
      8. T. Komorowski, Diffusion Approximation for the Convection - Diffusion Equation with Random Drift. Prob. Theory and Rel. Fields (2001) 121 525-550.
      9. A. Fannjiang, T. Komorowski, Homogenization of Diffusions in Gaussian, Markovian Flows. SIAM Journ. Appl. Math. 62, 909-923, (2002).
      10. A. Fannjiang, T. Komorowski, Diffusions in Long-Range Correlated Ornstein-Uhlenbeck Flows. Elect. Journ. of Prob. 7, article # 20, 1-22, (2002).
      11. T. Komorowski, S. Olla, On the Sector Condition and Homogenization of Diffusions with a Gaussian Drift. Journ. of Funct. Anal. 197, 179-211, (2003).
      12. T. Komorowski, Transport in random media. Proceedings of the conference on Probabilistic Problems in Atmospheric and Weather Sciences, Będlewo 2002.
      13. T. Komorowski, Widelski, P., The existence of the effective diffusivity tensor for diffusions with incompressible mixing drifts. Prob. and Math. Stat. 23, 337-355, (2003).
      14. T. Komorowski, Widelski, P., Computation of the effective diffusivity tensor for transport of a passive scalar in a turbulent incompressible flow. SIAM Journ. Appl. Math. 65 , 93-112, (2004)

      Motions in Random Fields.

      1. T. Komorowski, Diffusion Approximation For The Advection Of Particles In A Strongly Turbulent Random Enviroment, Ann. of Prob. Vol. 24 (1996), pp. 346-376.
      2. T. Komorowski, G. Papanicolaou, Motion In A Gaussian, Incompressible Flow, (1997) Ann. of Appl. Prob. 7 229-264.
      3. T. Komorowski, Brownian Motion in a Poisson Obstacle Field, Seminaire Bourbaki, 853 Asterisque 266, 91-111, (2000).
      4. A. Fannjiang, T. Komorowski, Limit Theorems for Motions in a Flow with a Nonzero Drift. Bull. Pol. Acad. Sci. Vol 47 (1999) 393-413.
      5. A. Fannjiang, T. Komorowski, Diffusion Approximation for Particle Convection in Markovian Flows. Bull. Pol. Acad. Sci. Vol 48 (2000) pp. 253-275.
      6. A. Fannjiang, T. Komorowski, Sz. Peszat, Lagrangian Dynamics for a Passive Tracer in a Markovian Flow. Stoch. Proc. and their Appl 97, 171-198 (2002).
      7. T. Komorowski, Sz. Peszat, Transport of a passive tracer by an irregular velocity field. Journ. Stat. Phys. 115, 1361-1388 (2004).

      Anomalous Diffusion Limit.

      1. A.Fannjiang, T. Komorowski, Fractional Brownian Motions and Enhanced Diffusion in a Unidirectional Wave-like Turbulence (2000) Journ. Stat. Phys. 100 , 1071-1095.
      2. A. Fannjiang, T. Komorowski, The Fractional Brownian Motion Limit for Motions in Turbulence. Ann. of Appl. Prob. (2000) 10 , 1100-1120.
      3. T. Komorowski, S. Olla, On the Superdiffusive Behavior of Passive Tracer with a Gaussian Drift. Journ. Stat. Phys. (2002) 108 , 647-668.
      4. A. Fannjiang, T. Komorowski, Frozen Path Approximation for Turbulent Diffusion and Fractional Brownian Motion in Random Flows. SIAM J. Appl. Math. (2003) 63 , 2042-2062.

      Invariant Measures for Turbulent Flows.

      1. T. Komorowski, G. Krupa, On the Existence of Invariant Measures for Lagrangian Velocities in Compressible Environments. Journ. of Stat. Phys. 106, pp. 635-651 (2002).
      2. T. Komorowski, Stationarity of Lagrangian Velocity in Compressible Environments. Comm. Math. Phys. 228, 417-434 (2002).
      3. T. Komorowski, S. Olla, Invariant Measures for Passive Tracer Dynamics in Ornstein-Uhlenbeck Flows. Stoch. Proc. Appl. (2003) 105, 139-173.
      4. T. Komorowski, G. Krupa, On Stationarity of Lagrangian Observations of Passive Tracer Velocity in a Compressible Environment. Ann. Appl. Prob. (corrected) (2004) 14, 1666-1697.
      5. T. Komorowski, G. Krupa, A Note on an Application of the Lasota-York Fixed Point Theorem in the Turbulent Transport Problem. to appear in Bull. Pol. Acad. Sci.
      6. T. Komorowski, G. Krupa, The existence of a steady state for a perturbed symmetric random walk on a random lattice Prob. and Math. Stat. 24, 121-144, (2004)
      7. T. Komorowski, G. Krupa, On the asymptotic behavior of an Ornstein-Uhlenbeck process with random forcing Comm. in Math. Physics (corrected), 261, 517-543, (2006)

    Random Walks in Random Environments.

    1. T. Komorowski, G. Krupa, Random Walk in a Random Environment with Correlated Sites Journ. of Appl. Prob. 38, 1018-1032 (2001).
    2. T. Komorowski, G. Krupa, The Law of Large Numbers for Ballistic, Multi-dimensional Random Walks on Random Lattices with Correlated Sites. Ann. Inst. H. Poincare Prob. & Stat. 39, 263-285, (2003).
    3. T. Komorowski, S. Olla, A Note on Central Limit Theorem for Two-fold Stochastic Random Walks in Random Environment. Bull. Pol. Acad. Sci. 51, 217-232 (2003).
    4. T. Komorowski, S. Olla, Einstein relation for random walks on a lattice with random bonds. preprint.

    Articles on Wave Propagation

    1. Bal, G., Komorowski, T., Ryzhik, L., Weak self-averaging of the Wigner transform in random media. Comm. Math. Phys. 242, 81-135 (2003).
    2. Komorowski, T., Ryzhik, L., Diffusion approximation for waves in random media. preprint
    Articles on Infinite Particle Systems
    1. Komorowski, T., Olla, S., On mobility and Einstein relation for tracers in time-mixing random environments. to appear in Journ. Stat. Phys.