Nicholas Georgiou, Mikhail Menshikov, Dimitri Petritis, Andrew Wade, Markov chains with heavy-tailed increments and asymptotically zero drift, Electron. J. Probab. 24, 1--28 (2019).
Mikhail Menshikov, Dimitri Petritis, Andrew Wade, Heavy-tailed random walks on complexes of half-lines, J. Theor. Probab., 1--41 (2017). Preprint available at hal-01376077.
Dimitri Petritis, On the pertinence to Physics of random walks induced by random dynamical systems: a survey, Proceedings of the 5th International Conference on Mathematical Modeling in Physical Sciences, Athens (2016), Journal of Physics: Conferences series, 738(1):012003.
Vladimir Belitsky, Mikhail Menshikov, Dimitri Petritis, Marina Vachkovskaya, Random dynamical systems with systematic drift competing with heavy-tailed randomness, Markov Proc. Rel. Fields, 22, 629--652 (2016).
Massimo Campanino, Dimitri Petritis, Type transition of simple random walks on randomly directed regular lattices, Journal of Applied Probability 51, 1065-1080 (2014). Available as pdf file.
Mikhail Menshikov, Dimitri Petritis, Explosion, implosion, and moments of passage times for continuous-time Markov chains: a semi-martingale approach, Stochastic Processes and their Applications 124, 2388-2414 (2014). doi:10.1016/j.spa.2014.03.001. Also available as pdf file.
Ahmad-Khoureich Ka, Dimitri Petritis, Automated localisation and classification of abnormal beats in electrocardiograms using parsimonious wavelet analysis, doi:10.1145/2093698.2093811 ISABEL '11: Proceedings of the 4th International Symposium on Applied Sciences in Biomedical and Communication Technologies, Barcelona (2011).
Fabio Benatti, Mark Fannes, Roberto Floreanini, Dimitri Petritis (eds.), Quantum information, computation, and cryptography, Lecture Notes in Physics 808, Springer, Berlin (2010). doi: 10.1007/978-3-642-11914-9.
Thomas Sierocinski, Dimitri Petritis, Nathalie Théret, Fuzzy and quantum methods of information retrieval to analyse genomic data from patients at different stages of fibrosis, Applied sciences on biomedical and communication technologies, ISABEL '08. HAL-00397979
Dimitri Petritis, An approach to genome statistics inspired by stochastic or quantum models of computing: a survey, Studies in computational intelligence, 129:285--297 (2008). Available at HAL-00288072
I MacPhee, M Menshikov, D Petritis, and S Popov, Polling systems with parameter regeneration: the general case, Annals of Applied Probability 18:2131--2151 (2008). Available here and also at HAL-00260810
Antony Le Béchec, Pierre Zindy, Thomas Sierocinski, Dimitri Petritis, Audrey Bihouée, Nolwenn Le Meur, Jean Léger and Nathalie Théret, M@IA: A modular open-source application for microarray workflow and integrative datamining, In Silico Biology, 8, 2007
Th Sierocinski, A Le Béchec, N Théret, D Petritis, Semantic distillation: a method for clustering objects by their contextual specificity. Accepted for publication in "Studies in computational intelligence, Springer-Verlag". Available at HAL-00177059
M Menshikov, D Petritis, and S Volkov, Random environment on coloured trees, Bernoulli, 13:966--980 (2007) . Available also at HAL-00161372 or as a pdf file here.
I MacPhee, M Menshikov, D Petritis, and S Popov, A Markov chain model of a polling system with parameter regeneration Polling systems with random scenery, Annals of Applied Probability, 17:1447-1473 (2007) Also available at HAL-00124019 or as pdf file here.
D Petritis, Th Sierocinski, Quantum information retrieval and gene networks, in "Bio-inspired models of Network, Informationa and Computing Systems" (2006), Digital Object Identifier:10.1109/BIMNICS.2006.361791
D Petritis, Sequential and asynchronous processes driven by stochastic or quantum grammars and their application to genomics: a survey. Presented at European Conference on Mathematical and Theoretical Biology. Available at HAL-00013863
M Menshikov, D Petritis, S Popov, Matrix multiplicative chaos and bindweeds, Markov Processes and Related Fields 11:37--54 (2005). Fichier postscript Fichier pdf
M Menshikov, D Petritis, S Popov, Bindweeds or random walks in random environments on multiplexed trees and their asympotics, Discrete Math. Theor. Computer Science, AC 205--216 (2003), Fichier postscript Fichier pdf
M Campanino, D Petritis, On the physical relevance of random walks: an example of random walks on randomly oriented lattices, in "Random walks and geometry", V. Kaimanovich (ed.), Walter de Gruyter, 393--411 (2004). Available at HAL-00121156
M Campanino, D Petrtiis, Random walks in randomly oriented lattices, Markov Processes and Related Fields 9:391--412 (2003) Available at HAL-00121151
M Menshikov, D Petritis, On random walks in random environment on trees and their relationship with multiplicative chaos, Mathematics and Computer Science II:415--422 (2002). Fichier postscript Fichier pdf
M Menshikov, D Petritis, Random walk in random environment on trees and multiplicative chaos, preprint IRMAR (2002). Fichier postscript Fichier pdf
M Menshikov, D Petritis, Markov chains in a wedge with excitable boundaries, Trans. A.M.S, 207:141--164 (2002) Fichier postscript Fichier pdf
S Martinez, D Petritis, Thermodynamics of a Brownian bridge polymer model in random environment, Journal of Physics A: Mathematical and General {\bf A29}, 1267--1279 (1996). Fichier postscript Fichier pdf
D Petritis, Equilibrium statistical mechanics of frustrated spin glasses}, Annales de l'Insitut Henri Poincaré, {\bf 64}, 255--288 (1996) Fichier postscript Fichier pdf
D Petritis, Thermodynamic formalism of neural computing, in Dynamics of complex interacting systems, 81--146, E Goles and S Martinez eds, Kluwer Academic Publishers, Dodrecht (1996). Fichier postscript Fichier pdf
D Petritis, Stereoscopic vision and Gibbsian fields, dans Phase transitions, Mathematics, Physics, and Biology, 159--163, World Scientific, Singapore (1993).
F Koukiou, D Petritis, M Zahradnik, Pirogov-Sinai theory on quasi-lattices, Cellular automata and cooperative systems, 375--386, Kluwer Publishers, Amsterdam (1993).
D Petritis, The zero-level set of the Brownian bridge as a model of disordered physical systems, Probability theory and Mathematical statistics, (Vilnius 1989), Mosklas, Vilnius (1990).
D Petritis, Thermodynamics for the zero-level set of the Brownian bridge, Communications in Mathematical Physics, {\bf 125}, 579--595 (1989). Fichier pdf
F Koukiou, J Pasche, D Petritis, The Hausdorff dimension of the two-dimensional Edwards' random walk}, Journal of Physics A~: Mathematical and General, {\bf 22}, 1385--1391 (1989). Fichier pdf
Ph de Forcrand, J Pasche, D Petritis, Critical behaviour of the Edwards' random walk in two dimensions: a case where the fractal and Hausdorff dimensions are not equal, Journal of Physics A: Mathematical and General {\bf 21}, 3771--3782 (1988). Fichier pdf
F Koukiou, D Petritis, M Zahradnik, Extension of the Pirogov-Sinai theory to a class of quasiperiodic intractions, Communications in Mathematical Physics {\bf 118}, 365--383 (1988). Fichier pdf
F Koukiou, D Petritis, M Zahradnik, Low temperature phase diagram for models with small quasiperiodic interactions}, Journal of Physics A: Mathematical and General, {\bf 21} L37--L41 (1988). Fichier pdf
Ph de Forcrand, F Koukiou, D Petritis, Random walks, random surfaces, and complexity, Lecture Notes in Physics {\bf 314}, 69--82, L.\ Peliti, A.\ Vulpiani (eds.), Springer-Verlag (1988).
J Ambjorn, Ph de Forcrand, F Koukiou, D Petritis, Monte Carlo simulation of regularized bosonic strings, Physics Letters {\bf B197}, 548--552 (1987).
Ph de Forcrand, F Koukiou, D Petritis, Critical exponents for the self-avoiding random walk in three dimensions, Journal of Statistical Physics {\bf 49}, 223--234 (1987).
Ph de Forcrand, F Koukiou, D Petritis, Testing the hyperscaling relation for self-avoiding walk in three dimensions, Physics Letters {\bf B189}, 341--342 (1987)
Ph de Forcrand, F Koukiou, D Petritis, Self-avoiding walks on the hexagonal lattice}, Journal of Statistical Physics {\bf 45}, 459--470 (1986).
F Delyon, D Petritis, Absence of localization in a class of Schrödinger operators with quasi-periodic potential}, Communications in Mathematical Physics {\bf 103}, 441--444 (1986). Fichier pdf
J M Luck, D Petritis, Phonon spectra in one-dimensional quasi-crystals, Journal of Statistical Physics {\bf 42}, 289--301 (1986).
C de Calan, D Petritis, V Rivasseau, Local existence of the Borel transform in Euclidean massless $\Phi^4_4$ theory, Communications in Mathematical Physics {\bf 101}, 559--577 (1985). Fichier pdf
C de Calan, J M Luck T M Niewenhuizen, D Petritis, On the distribution of a random variable occuring in one dimensional disordered systems, Journal of Physics A: Mathematical and General {\bf 18}, 501--523 (1985). Fichier pdf
D Petritis, M Kanehisa, M Balkanski, Acceptor-bound phonons in cubic semiconductors}, Physical Review {\bf B31}, 6469--6482 (1985). Fichier pdf
D Petritis, G Martinez, O Gorochov, Resonant enhancement of the Raman linewidth of phonon modes induced by hydrostatic pressure.} Proc. of the International Conference on Phonon Physics, Journal de Physique Colloques {\bf 42 (C-6)}, 688--690 (1981).
D Petritis, G Martinez, C Lévy-Clément, O Gorochov, Investigations of the vibronic properties of $Cu_3VS_4$, $Cu_3NbS_4$, and $Cu_3TaS_4$ compounds. Physical Review {\bf B23}, 6773--6786 (1980). Fichier pdf
D Petritis, G Martinez, C Lévy-Clément, O Gorochov, Pressure induced resonance of the Raman linewidth of the $A_1$ mode of $Cu_3VS_4$, Solid State Communications {\bf 35}, 273--275 (1980).