Thomas Michelitsch

44
Documents

Publications

Publications

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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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On Nonlocal Computation of Eigenfrequencies of Beams Using Finite Difference and Finite Element Methods

Noël Challamel , Vincent Picandet , Issac Elishakoff , Chien Ming Wang , Bernard Collet et al.

International Journal of Structural Stability and Dynamics, 2015, 15 (7), ⟨10.1142/S0219455415400088⟩

Article dans une revue hal-01115607v1
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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
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Revisiting finite difference and finite element methods applied to structural mechanics within enriched continua

Noël Challamel , Vincent Picandet , Bernard Collet , Thomas Michelitsch , Isaac Elishakoff et 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
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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
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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
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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 Wang et 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
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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
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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
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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
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Phase Turbulence in Population Models with Memory and Delay

Michael Bestehorn , Thomas M. Michelitsch , Elena Grigorieva

2025

Pré-publication, Document de travail hal-05293308v1
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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
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Traditional aging theories: which ones are useful?

Jicun Wang-Michelitsch , Thomas Michelitsch

2017

Pré-publication, Document de travail hal-01134912v3
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Aging as a process of accumulation of Misrepairs

Jicun Wang-Michelitsch , Thomas Michelitsch

2015

Pré-publication, Document de travail hal-01135021v3
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Development of aging changes: self-accelerating and inhomogeneous

Jicun Wang-Michelitsch , Thomas Michelitsch

2015

Pré-publication, Document de travail hal-01135315v2
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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 Rahman et al.

2013

Pré-publication, Document de travail hal-00839196v1
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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
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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
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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. Nowakowski et al.

2011

Pré-publication, Document de travail hal-00595771v1
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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
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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
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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
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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
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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
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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
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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
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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
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Mathematics for Dynamicists - Lecture Notes

Thomas Michelitsch

Doctoral. Mathematics for Dynamicists, France. 2006

Cours cel-01128826v1