Prof. MERTZ Laurent

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Research Output

  1. 2025
  2. Published

    An elementary approach based on variational inequalities for modeling a friction-based locomotion problem

    Chen, P., Mateos González, Á. & Mertz, L., Feb 2025, In: Applied Mathematics Letters. 160, 109305.

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  3. 2024
  4. Published

    Exponential Mixing of Constrained Random Dynamical Systems via Controllability Conditions

    MERTZ, L., NERSESYAN, V. & RISSEL, M., Dec 2024, In: SIAM Journal on Control and Optimization. 62, 6, p. 3266-3287

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  5. Published

    Sensitivity analysis of colored-noise-driven interacting particle systems

    Garnier, J., Ip, H. L. F. & Mertz, L., Oct 2024, In: Physical Review E. 110, 4, 044119.

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  6. 2023
  7. Published

    Computing the diffusivity of a particle subject to dry friction with colored noise

    Garnier, J. & Mertz, L., Oct 2023, In: Physical Review E. 108, 4, 045309.

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  8. Published

    Mortensen Observer for a class of variational inequalities - Lost equivalence with stochastic filtering approaches

    Chaintron, L.-P., Mateos González, Á., Mertz, L. & Moireau, P., Sept 2023, In: ESAIM: Proceedings and Surveys. 73, p. 130-157

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  9. Published

    A piecewise deterministic Markov process approach modeling a dry friction problem with noise

    Garnier, J., Lu, Z. & Mertz, L., 31 Aug 2023, In: SIAM Journal on Applied Mathematics. 83, 4, p. 1392-1421

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 1
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  10. 2022

  11. A Control Variate Method Driven by Diffusion Approximation

    Garnier, J. & Mertz, L., Mar 2022, In: Communications on Pure and Applied Mathematics. 75, 3, p. 455-492

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 2
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  12. 2021

  13. Probing quantum effects with classical stochastic analogs

    Goerlich, R., Manfredi, G., Hervieux, P.-A., Mertz, L. & Genet, C., Sept 2021, In: Physical Review Research. 3, 3, 033203.

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 1
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  14. Published

    Mathematical formulation of a dynamical system with dry friction subjected to external forces

    Bensoussan, A., Brouste, A., Cartiaux, F. B., Mathey, C. & Mertz, L., Jul 2021, In: Physica D: Nonlinear Phenomena. 421, 132859.

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 3
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  15. 2020

  16. Optimal protocols and universal time-energy bound in Brownian thermodynamics

    Rosales-Cabara, Y., Manfredi, G., Schnoering, G., Hervieux, P.-A., Mertz, L. & Genet, C., Jan 2020, In: Physical Review Research. 2, 1, 012012(R).

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 14
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  17. 2019

  18. Numerical analysis of degenerate Kolmogorov equations of constrained stochastic Hamiltonian systems

    Mertz, L. & Pironneau, O., 15 Oct 2019, In: Computers and Mathematics with Applications. 78, 8, p. 2719-2733

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 2
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  19. Published

    A Feynman–Kac formula approach for computing expectations and threshold crossing probabilities of non-smooth stochastic dynamical systems

    Mertz, L., Stadler, G. & Wylie, J., Oct 2019, In: Physica D: Nonlinear Phenomena. 397, p. 25-38

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 2
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  20. Published

    Free Boundary Value Problems and HJB Equations for the Stochastic Optimal Control of Elasto-Plastic Oscillators

    LAURIERE, M., LI, Z., MERTZ, L., WYLIE, J. & ZUO, S., Feb 2019, In: ESAIM: Proceedings and Surveys. 65, p. 425-444

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  21. Penalization of nonsmooth dynamical systems with noise: Ergodicity and asymptotic formulae for threshold crossings probabilities

    Laurière, M. & Mertz, L., 2019, In: SIAM Journal on Applied Dynamical Systems. 18, 2, p. 853-880

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 3
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  22. 2018

  23. Stochastic dynamics of fluid-structure interaction in turbulent thermal convection

    Huang, J. M., Zhong, J.-Q., Zhang, J. & Mertz, L., 10 Nov 2018, In: Journal of Fluid Mechanics. 854

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 15
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  24. 2017

  25. Asymptotic formulae for the risk of failure related to an elasto-plastic problem withnoise

    Feau, C., Laurière, M. & Mertz, L., 2017, In: Asymptotic Analysis. 106, 1, p. 47-60

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 4
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  26. 2016
  27. Published

    Nonlocal boundary value problems of a stochastic variational inequality modeling an elasto-plastic oscillator excited by a filtered noise

    BENSOUSSAN, A., MERTZ, L. & YAM, S. C. P., 2016, In: SIAM Journal on Mathematical Analysis. 48, 4, p. 2783-2805

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 4
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  28. 2015

  29. Degenerate Dirichlet problems related to the ergodic property of an elasto-plastic oscillator excited by a filtered white noise

    MERTZ, L. & BENSOUSSAN, A., Oct 2015, In: IMA Journal of Applied Mathematics. 80, 5, p. 1387-1408

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 3
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  30. Penalization of a stochastic variational inequality modeling an elasto-plastic problem with noise

    LAURIÈRE, M. & MERTZ, L., Jan 2015, In: ESAIM: Proceedings and Surveys. 48, p. 226-247

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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  31. Published

    An analytical approach for the growth rate of the variance of the deformation related to an elasto-plastic oscillator excited by a white noise

    Bensoussan, A., Feau, C., Mertz, L. & Yam, S. C. P., 2015, In: Applied Mathematics Research eXpress. 2015, 1, p. 99-128

    Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

    Scopus citations: 5
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