Thomas Michelitsch

Publications

Article dans une revue (26)

Random walks with stochastic resetting in complex networks: a discrete time approach Thomas M. Michelitsch,Giuseppe D’onofrio,Federico Polito,Alejandro Riascos Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025, Anomalous Diffusion and Fluctuations in Complex Systems and Network, 35 (013119), https://doi.org/10.1063/5.0238517. ⟨10.1063/5.0238517⟩ Article dans une revue hal-04698128v1
Periodic solutions and chaotic attractors of a modified epidemiological SCIS model Michael Bestehorn,Thomas M. Michelitsch Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025, 35 (2), pp.023104. ⟨10.1063/5.0241314⟩ Article dans une revue hal-04699933v1
Evanescent random walker on networks: Hitting times, budget renewal, and survival dynamics Thomas M. Michelitsch,Alejandro P. Riascos Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025, 35 (12), ⟨10.1063/5.0299615⟩ Article dans une revue hal-05229703v1
Three-dimensional Green tensor of one-dimensional hexagonal quasicrystals Markus Lazar,Thomas M. Michelitsch,Eleni Agiasofitou Crystals, 2024, 14 (12), pp.1034. ⟨10.3390/cryst14121034⟩ Article dans une revue hal-04798496v2
Oscillating behavior of a compartmental model with retarded noisy dynamic infection rate Michael Bestehorn,Thomas M. Michelitsch International journal of bifurcation and chaos in applied sciences and engineering , 2023, 33 (05), pp.2350056. ⟨10.1142/S0218127423500566⟩ Article dans une revue hal-03961657v1
Semi-Markovian discrete-time telegraph process with generalized Sibuya waiting times Thomas M Michelitsch,Federico Polito,Alejandro P Riascos Mathematics , 2023, 11 (2), pp.471. ⟨10.3390/math11020471⟩ Article dans une revue hal-03874495v1
Asymmetric random walks with bias generated by discrete-time counting processes Thomas M Michelitsch,Federico Polito,Alejandro P Riascos Communications in Nonlinear Science and Numerical Simulation, 2022, 109 (106121), ⟨10.1016/j.cnsns.2021.106121⟩ Article dans une revue hal-03280274v2
ON DISCRETE TIME GENERALIZED FRACTIONAL POISSON PROCESSES AND RELATED STOCHASTIC DYNAMICS Thomas Michelitsch,Federico Polito,Alejandro Perez Riascos Physica A: Statistical Mechanics and its Applications, 2021, ⟨10.1016/j.physa.2020.125541⟩ Article dans une revue hal-02589793v1
Non-local biased random walks and fractional transport on directed networks Alejandro Pérez Riascos,T.M. Michelitsch,A. Pizarro-Medina Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2020, ⟨10.1103/PhysRevE.102.022142⟩ Article dans une revue hal-02540672v1
GENERALIZED FRACTIONAL POISSON PROCESS AND RELATED STOCHASTIC DYNAMICS Thomas Michelitsch,Alejandro Pérez Riascos Fractional Calculus and Applied Analysis, 2020, 23, ⟨10.1515/fca-2020-0034⟩ Article dans une revue hal-02888237v1
Continuous time random walk and diffusion with generalized fractional Poisson process Thomas Michelitsch,Alejandro Perez Riascos Physica A: Statistical Mechanics and its Applications, 2020, ⟨10.1016/j.physa.2019.123294⟩ Article dans une revue hal-02336450v1
Random walks with long-range steps generated by functions of Laplacian matrices Alejandro Pérez Riascos,Thomas Michelitsch,Bernard Collet,Andrzej Nowakowski,Franck Nicolleau Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018 (4), pp.043404. ⟨10.1088/1742-5468/aab04c⟩ Article dans une revue hal-02315587v1
Recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices Thomas Michelitsch,Bernard Collet,Alejandro Pérez Riascos,Andrzej Nowakowski,Franck Nicolleau Journal of Physics: Conference Series, 2017, ⟨10.1088/1751-8121/aa9008⟩ Article dans une revue hal-01543330v1
Fractional random walk lattice dynamics Thomas M. Michelitsch,Bernard Collet,Alejandro Perez Riascos,Andrzeij Nowakowski,Franck C.G.A Nicolleau Journal of Physics A: Mathematical and Theoretical, 2017, J. Phys. A: Math. Theor. 50, pp.055003 ⟨10.1088/1751-8121/aa5173⟩ Article dans une revue hal-01357909v1
Acoustic emission during the solvent mediated cooling crystallization of citric acid Xingjun Wang,Gilles Févotte,Ying Huang,Thomas Michelitsch Powder Technology, 2016, 301, pp.70 à 77. ⟨10.1016/j.powtec.2016.05.057⟩ Article dans une revue hal-01393432v1
A fractional generalization of the classical lattice dynamics approach T.M. Michelitsch,B.A. Collet,A.P. Riascos,A.F. Nowakowski,F.C.G.A. Nicolleau Chaos, Solitons & Fractals, 2016, 92, pp.43-50. ⟨10.1016/j.chaos.2016.09.009⟩ Article dans une revue hal-01378769v1
On Nonlocal Computation of Eigenfrequencies of Beams Using Finite Difference and Finite Element Methods Noël Challamel,Vincent Picandet,Issac Elishakoff,Chien Ming Wang,Bernard Colletet al. International Journal of Structural Stability and Dynamics, 2015, 15 (7), ⟨10.1142/S0219455415400088⟩ Article dans une revue hal-01115607v1
Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit Thomas Michelitsch,Bernard Collet,Andrzej F. Nowakowski,Franck C.G.A Nicolleau Journal of Physics A: Mathematical and Theoretical, 2015, 48 (29), 295202 (27pp). ⟨10.1088/1751-8113/48/29/295202⟩ Article dans une revue hal-01096676v1
Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua Noël Challamel,Vincent Picandet,Bernard Collet,Thomas Michelitsch,Isaac Elishakoffet al. European Journal of Mechanics - A/Solids, 2015, 53, pp.107-120. ⟨10.1016/j.euromechsol.2015.03.003⟩ Article dans une revue hal-01459729v1
Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain Thomas Michelitsch,Bernard Collet,Andrzej F. Nowakowski,Franck C.G.A Nicolleau Chaos, Solitons & Fractals, 2015, ⟨10.1016/j.chaos.2015.10.035⟩ Article dans une revue hal-01223911v1
A regularized representation of the fractional Laplacian in n dimensions and its relation to Weierstrass-Mandelbrot type fractal functions Thomas Michelitsch,Gérard Maugin,Shahram Derogar,Rahman Mujibur IMA Journal of Applied Mathematics, 2014, SOURCE IMA Journal of Applied Mathematics, 79 (5), pp.753 - 777. ⟨10.1093/imamat/hxu018⟩ Article dans une revue hal-01101502v1
On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach Noël Challamel,Zhen Zhang,C. M. Wang,J. N. Reddy,Qiang Wanget al. Archive of Applied Mechanics, 2014, 84 (9-11), pp.1275-1292. ⟨10.1007/s00419-014-0862-x⟩ Article dans une revue hal-01459736v1
A nonlocal constitutive model generated by matrix functions for polyatomic periodic linear chains Thomas Michelitsch,Bernard Collet Archive of Applied Mechanics, 2014, 84 (9-11, SI), pp.1477-1500. ⟨10.1007/s00419-014-0905-3⟩ Article dans une revue hal-01459734v1
Nonlocal constitutive laws generated by matrix functions: Lattice Dynamics Models and their Continuum Limits Thomas Michelitsch,Bernard Collet,Xingjun Wang International Journal of Engineering Science, 2014, 80, pp.106-123. ⟨10.1016/j.ijengsci.2014.02.029⟩ Article dans une revue hal-00848924v1
DISPERSION RELATIONS AND WAVE OPERATORS IN SELF-SIMILAR QUASI-CONTINUOUS LINEAR CHAINS Thomas Michelitsch,Gérard A. Maugin,Franck C.G.A Nicolleau,Andrzej. F. Nowakowski,Shahram Derogar Physical Review E : Statistical, Nonlinear, and Soft Matter Physics [2001-2015], 2009, 80, pp.011135. ⟨10.1103/PhysRevE.80.011135⟩ Article dans une revue hal-00371945v2
ANALYSIS OF THE VIBRATIONAL MODE SPECTRUM OF A LINEAR CHAIN WITH SPATIALLY EXPONENTIAL PROPERTIES Thomas Michelitsch,Gérard A. Maugin,Andrzej. F. Nowakowski,Franck C.G.A Nicolleau International Journal of Engineering Science, 2009, 47 (2), pp.209-220. ⟨10.1016/j.ijengsci.2008.08.011⟩ Article dans une revue hal-00374799v1

Pré-publication, Document de travail (11)

Phase Turbulence in Population Models with Memory and Delay Michael Bestehorn,Thomas M. Michelitsch,Elena Grigorieva 2025 Pré-publication, Document de travail hal-05293308v1
From random walks to epidemic spreading: Compartment model with mortality for vector transmitted diseases Téo Granger,Thomas M. Michelitsch,Bernard A. Collet,Michael Bestehorn,Alejandro P. Riascos 2025 Pré-publication, Document de travail hal-04945871v2
Traditional aging theories: which ones are useful? Jicun Wang-Michelitsch,Thomas Michelitsch 2017 Pré-publication, Document de travail hal-01134912v3
Aging as a process of accumulation of Misrepairs Jicun Wang-Michelitsch,Thomas Michelitsch 2015 Pré-publication, Document de travail hal-01135021v3
Development of aging changes: self-accelerating and inhomogeneous Jicun Wang-Michelitsch,Thomas Michelitsch 2015 Pré-publication, Document de travail hal-01135315v2
THE FRACTIONAL LAPLACIAN AS A LIMITING CASE OF A SELF-SIMILAR SPRING MODEL AND APPLICATIONS TO n-DIMENSIONAL ANOMALOUS DIFFUSION Thomas Michelitsch,Gérard A. Maugin,Andrzej F. Nowakowski,Franck C.G.A Nicolleau,Mujibur Rahmanet al. 2013 Pré-publication, Document de travail hal-00839196v1
An approach to anomalous diffusion in the n-dimensional space generated by a self-similar Laplacian Thomas Michelitsch,Gérard Maugin,Andrzej F. Nowakowski,Franck C.G.A Nicolleau,Mujibur Rahman 2012 Pré-publication, Document de travail hal-00721688v2
AGING AS A CONSEQUENCE OF MISREPAIR -- A NOVEL THEORY OF AGING Jicun Wang,Thomas Michelitsch,Arne Wunderlin,Ravi Mahadeva 2011 Pré-publication, Document de travail hal-00373085v3
A self-similar field theory for 1D linear elastic continua and self-similar diffusion problem Thomas Michelitsch,Gérard A. Maugin,Rahman Mujibur,Shahram Derogar,Andrzej F. Nowakowskiet al. 2011 Pré-publication, Document de travail hal-00595771v1
Sur une généralisation de l'opérateur fractionnaire Thomas Michelitsch,Gérard A. Maugin,Shahram Derogar,Andrzeij Nowakowski,Franck Nicolleau 2010 Pré-publication, Document de travail hal-00639109v1
Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires Thomas Michelitsch,Gérard A. Maugin,Franck C.G.A Nicolleau,Andrzej F. Nowakowski,Shahram Derogar 2009 Pré-publication, Document de travail hal-00420287v1

Chapitre d'ouvrage (1)

On the Dynamic Green's Function of the Three-Dimensional Infinite Anisotropic Medium Thomas M. Michelitsch Editors: Holm Altenbach, Victor A. Eremeyev. Dynamics of Discrete and Continuum Structures and Media https://link.springer.com/book/9783031756252, 221, Springer; Springer Nature Switzerland, pp.435-464, 2025, Advanced Structured Materials, 978-3-031-75628-3. ⟨10.1007/978-3-031-75626-9_19⟩ Chapitre d'ouvrage hal-04680392v1

Communication dans un congrès (5)

Stochastic compartment model of epidemic spreading in complex networks with mortality and resetting Thomas M. Michelitsch,Bernard A. Collet,Michael Bestehorn,Alejandro Perez P. Riascos,Andrzej. F. Nowakowski PANDEMICS ANALYTICS 2025 : International Conference on Pandemics Analytics - 2025, IARIA, Oct 2025, Barecelone, Spain Communication dans un congrès hal-05097459v2
Epidemiological Model with Fluctuations Michael Bestehorn,Thomas M. Michelitsch OttoChaos: From the nonlinear dynamical systems theory to observational chaos, Christophe Letellier Sylvain-Mangiarotti, Denisse Sciamarella, Oct 2023, Toulouse, France Communication dans un congrès hal-04194275v1
Compartment model with retarded transition rates Téo Granger,Thomas M. Michelitsch,Bernard A Collet,Michael Bestehorn,Alejandro Perez P. Riascos OttoChaos: From the nonlinear dynamical systems theory to observational chaos, Sylvain Mangiarotti, Christophe Letellier, Denisse Sciamarella, Oct 2023, Toulouse, France Communication dans un congrès hal-04193140v1
Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels Thomas Michelitsch,Bernard Collet,Alejandro Perez Riascos,Andrzej F Nowakowski,Franck C G A Nicolleau Advanced Problems in Mechanics http://www.apm-conf.spb.ru/, IPME RAS, Peter the Great St. Petersburg Polytechnic University, Jun 2016, St. Petersburg, Russia Communication dans un congrès hal-01298786v2
Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires Thomas M. Michelitsch,Gérard A. Maugin,Franck C.G.A Nicolleau,Andrzej F. Nowakowski,Shahram Derogar 10ème Congrès Français d'Acoustique, Apr 2010, Lyon, France. http://cfa.sfa.asso.fr/cd1/data/articles/000001.pdf Communication dans un congrès hal-00530290v1

Cours (1)

Mathematics for Dynamicists - Lecture Notes Thomas Michelitsch Doctoral. Mathematics for Dynamicists, France. 2006 Cours cel-01128826v1