Geometry and Topology in Physical Models


International PhD Programme in Mathematics, Mathematical Physics and Computer Science
Home Description of PhD Projects Foreign Partners Publications Seminar Contact
List of publications:

  1. A.Czechowski, R.Vandervorst, "Symplectomorphisms and discrete braid invariants", to appear in Fixed Point Theory Appl.
    Download

  2. N.Nikolov, M.Trybuła, "Estimates of the Bergman distance on Dini-smooth bounded planar domains", to appear in Collect. Math.
    Download

  3. D.Gu, "Counterpart of the AubinĐYau functional for real Riemannian manifolds", Universitatis Iagellonicae Acta Mathematica, Vol. 52 (2015), pp. 15-21.
    Download

  4. I.K.Djire, J.Wiegerinck, "Characterizations of boundry pluripolar hulls", preprint.
    Download

  5. P.Jaworski, M.Pitera, "The 20-60-20 Rule", Discrete Cont Dyn-B, Vol. 21 (2016), Issue 4, pp. 1149-1166.
    Download

  6. M. Eckstein, A.Zając, "Asymptotic and exact expansions of heat traces", to appear in Mathematical Physics, Analysis and Geometry.
    Download

  7. I.K.Djire, "A disc formula for plurisubharmonic subextension and a characterization of the thinness of subsets of C^n", preprint.
    Download

  8. K.Mischaikow, M.Mrozek, F.Weilandt, "Discretization strategies for computing Conley indices and Morse decompositions of flows", preprint.
    Download

  9. A.Czechowski, P.Zgliczyński, "Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing", Schedae Informaticae, Vol. 24 (2015), pp. 143-158.
    Download

  10. M.Mrozek, R.Srzednicki, F.Weilandt, "A Topological Approach to the Algorithmic Computation of the Conley Index for Poincare Maps", SIAM Journal on Applied Dynamical Systems, Vol. 14 (2015), Issue 3.
    Download

  11. N.C.Nguyen, "The complex Monge-Ampere type equation on compact Hermitian manifolds and Applications", to appear in Advances in Mathematics.
    Download

  12. P.Biernat, "Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions", Nonlinearity, Vol. 28 (2015), Issue 167.
    Download

  13. T.R.Bielecki, I.Cialenco, M.Pitera, "A survey of time consistency of dynamic risk measures and dynamic performance measures in discrete time: LM-measure perspective", Probability, Uncertainty and Quantitative Risk, Vol. 2 (2017), pp. 1-52.
    Download

  14. A.Czechowski, P. Zgliczyński, "Existence of periodic solutions of the FitzHugh-Nagumo equations for an explicit range of the small parameter", in print in SIAM Journal on Applied Dynamical Systems.
    Download

  15. Quang Sang Phan, "Spectral monodromy in classical completely integrable or quasi-integrable cases", preprint.
    Download

  16. P.Kamieński, "A finite information KAM theorem", preprint.
    Download

  17. M.Klimek, M.Pitera, "The least squares method for option pricing revisited", Applicationes Mathematicae, Vol. 54 (2018), No 1, pp. 5-29.
    Download

  18. N.Nikolov, P.J.Thomas, M. Trybuła, "Gromov (non)hyperbolicity of certain domains in C^2", Forum Math., Vol. 28 (2016), No 4, pp. 783Đ794.
    Download

  19. N.Nikolov, M.Trybuła, "The Kobayashi balls of (C-)convex domains", Monatsh. Math., Vol. 177 (2015), No 4, pp. 627-635.
    Download

  20. H.Wagner, P.Dłotko "Towards topological analysis of high-dimensional feature spaces", Computer Vision and Image Understanding (CVIU)Vol. 121 (2014), pp. 21-26.
    Download

  21. P.Dłotko, H.Wagner, "Simplification of complexes for persistent homology computations", Homology, Homotopy and Applications (HHA),Vol. 16 (2014), No 1, pp. 49-63.
    Download

  22. S.Kołodziej, N.C.Nguyen, "Weak solutions to the complex Monge-Ampere equation on Hermitian manifolds", Contem. Math., Vol. 644 (2015), pp. 141-158, Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong.
    Download

  23. M.Trybuła, "Note on Costara's paper 'On the spectral Nevanlinna-Pick problem'", Cr. Acad. Bulg. Sci., Vol. 67 (2014), Issue 2, pp. 161-167.
    Download

  24. M.Trybuła, "Invariant metrics on the symmetrized bidisc", Complex Variables Elip. Eq., Vol. 60 (2015), No 4, pp. 559-565.
    Download

  25. M.Eckstein, "Degenerating Black Saturn", JHEP, Vol. 11 (2013), Issue 078.
    Download

  26. M.Eckstein, B.Iochum, A.Sitarz, "Heat trace and spectral action on the standard Podles sphere", Communications in Mathematical Physics, Vol. 332 (2014), Issue 2, pp. 627-668.
    Download

  27. P.Bizoń, J.Jałmużna, "Globally Regular Instability of 3-Dimensional AntiĐDe Sitter Spacetime.", Physical review letters, Vol. 111.4 (2013), 041102.
    Download

  28. J.Jałmużna, "Three-dimensional gravity and instability of AdS_3", Acta Physica Polonica B, Vol. 44 (2013), No 12, pp. 2603-2620.
    Download

  29. T.R.Bielecki, I.Cialenco, M.Pitera, "Dynamic Limit Growth Indices in Discrete Time", Stoch Models, Vol. 31 (2015), Issue 3, pp. 494-523.
    Download

  30. N.C.Nguyen, "Subsolution theorem for the complex Hessian equation", Univ. Iagiell. Acta Math., Vol. 50 (2012), pp. 69-88.
    Download

  31. N.C.Nguyen, "Hölder continuous solutions to complex Hessian equations", Potential Anal., Vol. 41 (2014),no. 3, pp. 887-902.
    Download

  32. M.Trybuła, "Proper holomorphic mappings, Bell's formula and the Lu Qi-Keng problem on the tetrablock", Arch Math., Vol. 101 (2013), No 6, pp. 549-558.
    Download

  33. A.Lewandowski, "A new Hartogs type extension theorem for the cross-like objects", to appear in Kyushu J. Math.
    Download

  34. A.Lewandowski, "A generalization of the annulus formula for the relative extremal function", Math. Scand., Vol. 115 (2014), pp. 69-84.
    Download

  35. P.Dłotko, H.Wagner, "Optimal persistent homology preprocessing using iterated Morse decomposition", preprint.
    Download

  36. P.Dłotko, H.Wagner, "Computing homology and persistent homology using iterated Morse decomposition ", preprint.
    Download

  37. A.Czarnecki, "Alexander-Spanier cohomology and boundary of a domain", preprint.
    Download

  38. A.Czarnecki, "Cutting description of trivial 1-cohomology ", Ann. Polon. Math., Vol. 112 (2014), pp. 181-184.
    Download

  39. R.Kudłacik, A.Roman, H.Wagner, "Effective synchronizing algorithms", Expert Systems With Applications, 2012.
    Download

  40. H.Wagner, P.Dłotko, M.Mrozek, "Computational topology in text mining", Computational Topology in Image Context, 2012.
    Download

  41. D.Gunther, J.Reininghaus, H.Wagner, I.Hotz, "Efficient computation of 3D Morse-Smale complexes and persistent homology using discrete Morse theory", The Visual Computer, Vol. 28 (2012).
    Download

  42. L.Bąk, A.Czarnecki, "A remark on the Brylinski conjecture for orbifolds", Journal of the Australian Mathematical Society, Vol. 91, Issue 01, pp. 1 - 12.
    Download

  43. P.Jaworski, M.Pitera, "On Spatial Contagion and multivariate GARCH models", Appl Stoch Model Bus Ind, Vol. 30 (2014), no. 5, pp. 303-327.
    Download

  44. A.Lewandowski, "An extension theorem with analytic singularities for generalized (N,k)-crosses", Ann. Polon. Math., Vol. 103 (2012), pp. 193-208.
    Download

  45. D.Gunther, J.Reininghaus, H.Wagner, I.Hotz "Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory", Proc. Sibgrpi - Conference on Graphics, Patterns and Images, 2011.
    Download

  46. J.Jałmużna, A.Rostworowski, P.Bizoń, "AdS collapse of a scalar field in higher dimensions", Phys. Rev. D , Vol. 84 (2011), Issue 085021.
    Download

  47. A.Sitarz, A.Zając, "Spectral action for scalar perturbations of Dirac operators", Letters in Mathematical Physics, Vol. 98 (2011), Issue 3, pp. 333-348.
    Download

  48. P.Biernat, P.Bizoń, "Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres", Nonlinearity, Vol. 24 (2011), no. 8.
    Download

  49. Xu Wang, "Bergman completeness is not a quasi-conformal invariant", Proc. Amer. Math. Soc., Vol. 141 (2013), pp. 543-548.
    Download

  50. M.Eckstein, "On projections in the noncommutative 2-torus algebra", SIGMA, Vol. 10 (2014), Issue 029.
    Download

  51. P.Dłotko, W.G.Kropatsch, H.Wagner, "Characterizing obstacle-avoiding paths using cohomology theory", Lecture Notes in Computer Science, Vol. 6854 (2011), pp. 310-317.
    Download

  52. H.Wagner, C.Chen, E.Vucini, "Efficient Computation of Persistent Homology for Cubical Data", Topological Methods in Data Analysis and Visualization II, Springer, Book Section, 2012, pp. 91-106.
    Download