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Thomas Simon

Professeur des universités CNU : SECTION 26 - MATHEMATIQUES APPLIQUEES ET APPLICATIONS DES MATHEMATIQUES Laboratoire / équipe
  • UMR 8524 - LABORATOIRE PAUL PAINLEVE

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thomas.simon[chez]univ-lille[point].fr
  • +33 3 20 43 67 65
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    Publications

    Publications et prépublications

    64. R. A. C. Ferreira et T. Simon. Mittag-Leffler functions and convex ordering. arXiv:2512.04940

    63. H. Guérin, L. Laulin, K. Raschel et T. Simon. On the limit law of the superdiffusive elephant random walk. Electron. J. Probab. 30 (102), 1-25, 2025.

    62. R. Garrappa, S. Gerhold, M. Popolizio et T. Simon. On some inequalities for the two-parameter Mittag-Leffler function in the complex plane. J. Math. Anal. Appl. 551 (1), Article ID 129588, 2025.

    61. M. Alimohammadi, N. Balakrishnan et T. Simon. An inequality for log-concave functions and its use in the study of failure rates. Probab. Engrg. Inform. Sci. 38, 695-704, 2024.

    60. R. A. C. Ferreira et T. Simon. On the log-concavity of the Wright function. Constr. Approx. 60, 309-338, 2024.

    59. G. Dulac et T. Simon. On Tsallis cumulative entropies. Acta. Appl. Math. 188, 1-33, 2023.

    58. T. Simon. A note on the α-Sun distribution. Electron. Commun. Probab. 28, 1-13, 2023.

    57. G. Alsmeyer, A. Bostan, K. Raschel et T. Simon. Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. Adv. Appl. Math. 150, Article ID 102555, 1-52, 2023.

    56. S. Gerhold et T. Simon. A converse to the neo-classical inequality with an application to the Mittag-Leffler function. Monats. Math. 200, 627-645, 2023.

    55. R. A. C. Ferreira et T. Simon. Convolution of beta prime distribution. Trans. Amer. Math. Soc. 376 (2), 855-890, 2023.

    54. M. Kwaśnicki et T. Simon. Characterisation of the class of bell-shaped functions. Math. Z. 301, 2659-2683, 2022.

    53. T. Simon. Remark on a Mittag-Leffler function of Le Roy type. Integ. Trans. Spec. Functions. 33 (2), 108-114, 2022.

    52. T. Simon. On the Green function of the killed fractional Laplacian on the periodic domain. Frac. Calc. Appl. Anal. 24 (5), 1629-1635, 2021.

    51. L. Boudabsa et T. Simon. Some properties of the Kilbas-Saigo functions. Dans : Special Functions with Applications to Mathematical Physics II, Mathematics 9 (3), 1-24, 2021.

    50. L. Boudabsa, T. Simon et P. Vallois. Fractional extreme distributions. Electron. J. Probab. 25 (115), 1-20, 2020.

    49. T. Simon. Moment problems related to Bernstein functions. Ann. Fac. Sci. Toulouse 29 (3), 577-594, 2020.

    48. T. Kadankova, T. Simon et M. Wang. On some new moments of Gamma type. Stat. Probab. Letters 165, Article ID 108854, 2020.

    47. T. Hasebe, T. Simon et M. Wang. Some properties of the free stable distributions. Ann. Inst. H. Poincaré Probab. Stat. 56 (1), 296-325, 2020.

    46. J. Letemplier et T. Simon. On the law of stable homogeneous functionals. ESAIM Probab. Stat. 23, 82-111, 2019.

    45. C. Profeta et T. Simon. Cramér’s estimate for stable processes with drift. Electron. J. Probab. 24 (17), 1-21, 2019.

    44. W. Jedidi, T. Simon et M. Wang. Density solutions to a class of integro-differential equations. J. Math. Anal. Appl. 458 (1), 134-152, 2018.

    43. L. Bondesson et T. Simon. Stieltjes functions of finite order and hyperbolic monotonicity. Trans. Amer. Math. Soc. 370, 4201-4222, 2018.

    42. J. Letemplier et T. Simon. The area of a spectrally positive stable process stopped at zero. Probab. Math. Stat. 38 (1), 27-37, 2018.

    41. C. Profeta et T. Simon. On the harmonic measure of stable processes. Séminaire de Probabilités XLVIII, 325-345, 2016.

    40. T. Simon. Total positivity in stable semigroups. Constr. Approx. 44, 103-120, 2016.

    39. P. Bosch et T. Simon. A proof of Bondesson's conjecture on stable densities. Ark. Mat. 54, 31-38, 2016.

    38. F. Aurzada et T. Simon. Persistence probabilities and exponents. Dans: Lévy Matters V. Functionals of Lévy processes, Lecture Notes in Math. 2149, Springer-Verlag, 2015.

    37. W. Jedidi et T. Simon. Diffusion hitting times and the bell-shape. Stat. Probab. Letters 102, 38-41, 2015.

    36. C. Profeta et T. Simon. Windings of the stable Kolmogorov process. ALEA Lat. Am. J. Probab. Math. Stat. 12 (1), 115-127, 2015.

    35. P. Bosch et T. Simon. On the infinite divisibility of inverse Beta distributions. Bernoulli  21 (4), 2552-2568, 2015.

    34. C. Profeta et T. Simon. Persistence of integrated stable processes. Probab. Theory Relat. Fields 162, 463-485, 2015.

    33. T. Simon. Mittag-Leffler functions and complete monotonicity. Integ. Trans. Spec. Functions. 26 (1), 36-50, 2015.

    32. T. Simon. Positive stable densities and the bell-shape. Proc. Amer. Math. Soc. 143 (2), 885-895, 2015.

    31. J. Letemplier et T. Simon. Unimodality of hitting times for stable processes. Séminaire de Probabilités XLVI, 345-357, 2014.

    30. T. Simon. Produit Beta-Gamma et régularité du signe. Studia Sci. Math. Hung. 51 (4), 429-453, 2014.

    29. T. Simon. Comparing Fréchet and positive stable densities. Electron. J. Probab. 19 (16), 1-25, 2014.

    28. T. Simon. Total positivity of a Cauchy kernel. J. Approx. Theory 234, 238-258, 2014.

    27. P. Bosch et T. Simon. On the self-decomposability of the Fréchet distribution. Indag. Math. 24, 626-636, 2013.

    26. W. Jedidi et T. Simon. Further examples of GGC and HCM densities. Bernoulli 36 (5), 1818-1838, 2013.

    25. P. Patie et T. Simon. Intertwining certain fractional derivatives. Potential Anal. 36, 569-587, 2012.

    24. T. Simon. On the unimodality of power transformations of positive stable densities. Math. Nachr. 285 (4), 497-506, 2012.

    23. T. Simon. A multiplicative short proof for the unimodality of stable densities. Elec. Comm. Probab. 16, 623-629, 2011.

    22. T. Simon. Multiplicative strong unimodality for positive stable laws. Proc. Amer. Math. Soc. 139 (7), 2587–2595, 2011.

    21. T. Simon. Hitting densities for spectrally positive stable processes. Stochastics 83 (2), 203-214, 2011.

    20. T. Simon. On the absolute continuity of multidimensional Ornstein-Uhlenbeck processes. Probab. Theory Relat. Fields 151, 173-190, 2011.

    19. T. Simon. Fonctions de Mittag-Leffler et processus de Lévy stables sans sauts négatifs. Expo. Math. 28 (3), 290-298, 2010.

    18. A. Lachal et T. Simon. Chung's law for homogeneous Brownian functionals. Rocky Mt. J. Math. 40 (2), 561-579, 2010.

    17. T. Simon. On the Hausdorff dimension of regular points of inviscid Burgers equation with stable initial data. J. Stat. Phys. 131 (4), 733-747, 2008.

    16. T. Simon. Mалые уклонения негауссовских процессов. Theory Stoch. Process. 13 (1-2), 272-280, 2007.

    15. T. Simon. The lower tail problem for homogeneous functionals of stable processes with no negative jumps. ALEA Lat. Am. J. Probab. Math. Stat. 3, 165-179, 2007.

    14. I. Nourdin et T. Simon. Correcting Newton-Côtes integrals by Lévy areas. Bernoulli 13 (3),695-711, 2007.

    13. F. Aurzada et T. Simon. Small ball probabilities for stable convolutions. ESAIM Probab. Stat. 11, 327-343, 2007.

    12. I. Nourdin et T. Simon. On the absolute continuity of one-dimensional SDE's driven by a fractional Brownian motion. Stat. Probab. Letters 76 (9), 907-912, 2006.

    11. I. Nourdin et T. Simon. On the absolute continuity of Lévy processes with drift. Ann. Probab. 34 (3), 1035-1051, 2006.

    10. M. Arnaudon et T. Simon. Concentration of the Brownian bridge on Cartan-Hadamard manifolds with pinched negative sectional curvature. Ann. Inst. Fourier 55 (3), 891-930, 2005.

    9. M. A. Lifshits et T. Simon. Small deviations for fractional stable processes. Ann. Inst. H. Poincaré Probab. Statist. 41 (4), 725-752, 2005.

    8. T. Simon. Small ball estimates in p-variation for stable processes. J. Theoret. Probab. 17 (4), 1013-1036, 2004.

    7. T. Simon. Small deviations in p-variation norm for multidimensional Lévy processes. J. Math. Kyoto Univ. 43 (3), 943-986, 2003.

    6. T. Simon. Support d'une équation d'Itô avec sauts en dimension 1. Séminaire de Probabilités 36, 314-330, 2002.

    5. T. Simon. Concentration of the Brownian bridge on the hyperbolic plane. Ann. Probab. 30 (4), 1977-1989, 2002.

    4. T. Simon. Sur les petites déviations d'un processus de Lévy. Potential Anal. 14 (2), 155-173, 2001.

    3. T. Simon. Support of a Marcus equation in dimension 1. Electron. Comm. Probab. 5, 149-157, 2000.

    2. T. Simon. Support theorem for jump processes. Stoch. Proc. Appl. 89 (1), 1-30, 2000.

    1. T. Simon. Subordination in the wide sense for Lévy processes. Probab. Theory Relat. Fields 115 (4), 445-477, 1999.


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