Pocket book of mathematical functions, 1984. ,
Small random perturbations of peano phenomena, Stochastics, vol.14, issue.3-4, pp.279-29282, 1981. ,
DOI : 10.1080/17442508208833208
Diffusions hypercontractives, Séminaire de probabilités, pp.177-206, 1983. ,
DOI : 10.1007/BFb0075847
URL : http://archive.numdam.org/article/SPS_1985__19__177_0.pdf
Solutions de viscosité des équations de Hamilton-Jacobi, of Mathématiques & Applications (Berlin) [Mathematics & Applications, 1994. ,
Nonlinear self-stabilizing processes ??? I Existence, invariant probability, propagation of chaos, Stochastic Processes and their Applications, vol.75, issue.2, pp.173-201, 1998. ,
DOI : 10.1016/S0304-4149(98)00018-0
Nonlinear self-stabilizing processes. II. Convergence to invariant probability. Stochastic Process, Appl, vol.75, issue.2, pp.203-224, 1998. ,
Self-interacting diffusions. Probab. Theory Related Fields, pp.1-41, 2002. ,
Self-interacting diffusions II: convergenceBinBlaw, Annales de l?Institut Henri Poincare (B) Probability and Statistics, vol.39, issue.6, pp.1043-1055, 2003. ,
DOI : 10.1016/S0246-0203(03)00028-1
Self-interacting diffusions. III. Symmetric interactions, The Annals of Probability, vol.33, issue.5, pp.1717-1759, 2005. ,
DOI : 10.1214/009117905000000251
The mechanism of stochastic resonance, Journal of Physics A: Mathematical and General, vol.14, issue.11, pp.453-457, 1981. ,
DOI : 10.1088/0305-4470/14/11/006
Stochastic resonance in climatic changes, Tellus, vol.34, pp.10-16, 1982. ,
A Theory of Stochastic Resonance in Climatic Change, SIAM Journal on Applied Mathematics, vol.43, issue.3, pp.563-578, 1983. ,
DOI : 10.1137/0143037
A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential, The Annals of Applied Probability, vol.12, issue.4, pp.1419-1470, 2002. ,
DOI : 10.1214/aoap/1037125869
URL : https://hal.archives-ouvertes.fr/hal-00003010
Geometric singular perturbation theory for stochastic differential equations, Journal of Differential Equations, vol.191, issue.1, pp.1-54, 2003. ,
DOI : 10.1016/S0022-0396(03)00020-2
URL : https://hal.archives-ouvertes.fr/hal-00003006
Noise-induced phenomena in slow-fast dynamical systems. Probability and its Applications, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00010168
Quantitative concentration inequalities for empirical measures on non-compact spaces. Probab. Theory Related Fields, pp.3-4541, 2007. ,
DOI : 10.1007/s00440-006-0004-7
URL : https://hal.archives-ouvertes.fr/hal-00453883
Metastability in Reversible Diffusion Processes I: Sharp Asymptotics for Capacities and Exit Times, Journal of the European Mathematical Society, vol.6, issue.4, pp.399-424, 2004. ,
DOI : 10.4171/JEMS/14
Metastability in reversible diffusion processes II: precise asymptotics for small eigenvalues, Journal of the European Mathematical Society, vol.7, issue.1, pp.69-99, 2005. ,
DOI : 10.4171/JEMS/22
ON LOGARITHMIC ASYMPTOTICS OF STOCHASTIC RESONANCE FREQUENCIES, Stochastics and Dynamics, vol.03, issue.01, pp.55-71, 2003. ,
DOI : 10.1142/S0219493703000607
Floquet Theory for Parabolic Differential Equations, Journal of Differential Equations, vol.109, issue.1, pp.147-200, 1994. ,
DOI : 10.1006/jdeq.1994.1047
Self attracting diffusions: Two case studies, Mathematische Annalen, vol.74, issue.1, pp.87-93, 1995. ,
DOI : 10.1007/BF01460980
Large deviations from the mckean-vlasov limit for weakly interacting diffusions, Stochastics, vol.31, issue.4, pp.247-308, 1987. ,
DOI : 10.1214/aop/1176994984
On the exponential exit law in the small parameter exit problem, Stochastics, vol.17, issue.4, pp.297-323, 1983. ,
DOI : 10.1080/17442508308833244
Large deviations techniques and applications, Applications of Mathematics, vol.38, 1998. ,
Large deviations, Pure and Applied Mathematics, vol.137, 1989. ,
DOI : 10.1090/chel/342
Penalization of the Wiener Measure and Principal Values, Séminaire de Probabilités, XXXVI, pp.251-269, 2003. ,
DOI : 10.1007/978-3-540-36107-7_9
Asymptotic behavior of Brownian polymers. Probab. Theory Related Fields, pp.337-349, 1992. ,
Random perturbations of dynamical systems, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1984. ,
Quasi-deterministic approximation, metastability and stochastic resonance, Physica D: Nonlinear Phenomena, vol.137, issue.3-4, pp.333-352, 2000. ,
DOI : 10.1016/S0167-2789(99)00191-8
A certain class of diffusion processes associated with nonlinear parabolic equations, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.61, issue.3, pp.331-348, 1984. ,
DOI : 10.1007/BF00535008
Stochastic resonance, Reviews of Modern Physics, vol.70, issue.1, pp.223-287, 1998. ,
DOI : 10.1103/RevModPhys.70.223
ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION, The Quarterly Journal of Mechanics and Applied Mathematics, vol.4, issue.2, pp.129-156, 1951. ,
DOI : 10.1093/qjmam/4.2.129
A singular large deviations phenomenon, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.37, issue.5, pp.555-580, 2001. ,
DOI : 10.1016/S0246-0203(01)01075-5
URL : https://hal.archives-ouvertes.fr/hal-00091327
Etude de processus de diffusion, Thèse université Henri Poincaré Nancy I, 2001. ,
Ph??nom??ne de Peano et grandes d??viations, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.332, issue.11, pp.1019-1024, 2001. ,
DOI : 10.1016/S0764-4442(01)01983-8
Syst??me de processus auto-stabilisants, Dissertationes Mathematicae, vol.414, p.49, 2003. ,
DOI : 10.4064/dm414-0-1
BARRIER CROSSINGS CHARACTERIZE STOCHASTIC RESONANCE, Stochastics and Dynamics, vol.02, issue.03, pp.413-436, 2002. ,
DOI : 10.1142/S0219493702000509
The exit problem for diffusions with time-periodic drift and stochastic resonance, The Annals of Applied Probability, vol.15, issue.1A, pp.39-68, 2005. ,
DOI : 10.1214/105051604000000530
URL : https://hal.archives-ouvertes.fr/hal-00139455
Stochastic resonance, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00140404
Two Mathematical Approaches to Stochastic Resonance, Interacting stochastic systems, pp.327-351, 2005. ,
DOI : 10.1007/3-540-27110-4_15
URL : https://hal.archives-ouvertes.fr/hal-00140418
Transition times and stochastic resonance for multidimensional diffusions with time periodic drift: A large deviations approach, The Annals of Applied Probability, vol.16, issue.4, pp.1851-1892, 2006. ,
DOI : 10.1214/105051606000000385
URL : https://hal.archives-ouvertes.fr/hal-00139972
Large deviations and a Kramers??? type law for self-stabilizing diffusions, The Annals of Applied Probability, vol.18, issue.4, pp.1379-1423, 2008. ,
DOI : 10.1214/07-AAP489
URL : https://hal.archives-ouvertes.fr/hal-00139965
Boundedness and convergence of some self-attracting diffusions, Mathematische Annalen, vol.325, issue.1, pp.81-96, 2003. ,
DOI : 10.1007/s00208-002-0370-0
Rate of convergence of some self-attracting diffusions. Stochastic Process, Appl, vol.111, issue.1, pp.41-55, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00146083
Non uniqueness of stationary measures for self-stabilizing processes. Prépublications de l'Institut Elie Cartan, p.12, 2009. ,
From persistent random walk to the telegraph noise. Prépublications de l'Institut Elie Cartan, p.46, 2008. ,
Stochastic resonance in two-state Markov chains, Archiv der Mathematik, vol.77, issue.1, pp.107-115, 2001. ,
DOI : 10.1007/PL00000461
MODEL REDUCTION AND STOCHASTIC RESONANCE, Stochastics and Dynamics, vol.02, issue.04, pp.463-506, 2002. ,
DOI : 10.1142/S0219493702000583
The Reduction of Potential Diffusions to Finite State Markov Chains and Stochastic Resonance, IUTAM Symposium on Nonlinear Stochastic Dynamics, pp.57-69, 2003. ,
DOI : 10.1007/978-94-010-0179-3_5
Stochastic Resonance: A Comparative Study of Two-State Models, Seminar on Stochastic Analysis, Random Fields and Applications IV, pp.141-154, 2004. ,
DOI : 10.1007/978-3-0348-7943-9_10
Periodically driven stochastic systems, Physics Reports, vol.234, issue.4-5, pp.175-295, 1993. ,
DOI : 10.1016/0370-1573(93)90022-6
Brownian motion in a field of force and the diffusion model of chemical reactions, Physica, vol.7, issue.4, pp.284-304, 1940. ,
DOI : 10.1016/S0031-8914(40)90098-2
Floquet theory for partial differential equations, volume 60 of Operator Theory : Advances and Applications, 1993. ,
Comportement asymptotique de diffusions renforcées sur R d, 2007. ,
Logarithmic Sobolev inequalities for some nonlinear PDE's. Stochastic Process, Appl, vol.95, issue.1, pp.109-132, 2001. ,
A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS, Proc. Nat. Acad. Sci. U.S.A, pp.1907-1911, 1966. ,
DOI : 10.1073/pnas.56.6.1907
Propagation of chaos for a class of non-linear parabolic equations, Stochastic Differential Equations (Lecture Series in Differential Equations, Session 7, pp.41-57, 1967. ,
Stochastic aspects of climatic transitions ? responses to periodic forcing, Tellus, vol.34, pp.1-9, 1982. ,
Self-avoiding random walk : a Brownian motion model with local time drift. Probab. Theory Related Fields, pp.271-287, 1987. ,
A law of large numbers for moderately interacting diffusion processes, Zeitschrift f??r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.52, issue.2, pp.279-322, 1985. ,
DOI : 10.1007/BF02450284
Time-fractional telegraph equations and telegraph processes with Brownian time. Probab. Theory Related Fields, pp.141-160, 2004. ,
Vertex-Reinforced Random Walk on Z Has Finite Range, The Annals of Probability, vol.27, issue.3, pp.1368-1388, 1999. ,
DOI : 10.1214/aop/1022677452
Comparison theorem and estimates for transition probability densities of diffusion processes. Probab. Theory Related Fields, pp.388-406, 2003. ,
Sharp bounds for transition probability densities of a class of diffusions, Comptes Rendus Mathematique, vol.335, issue.11, pp.953-957, 2002. ,
DOI : 10.1016/S1631-073X(02)02579-7
A representation formula for transition probability densities of diffusions and applications. Stochastic Process, Appl, vol.111, issue.1, pp.57-76, 2004. ,
Self-attracting diffusions : case of the constant interaction. Probab. Theory Related Fields, pp.177-196, 1997. ,
The correlated random walk, Journal of Applied Probability, vol.177, issue.02, pp.403-414, 1981. ,
DOI : 10.1093/biomet/42.3-4.486
On a class of Markov processes, Transactions of the American Mathematical Society, vol.71, issue.1, pp.120-135, 1951. ,
DOI : 10.1090/S0002-9947-1951-0043406-9
Some penalisations of the Wiener measure, Japanese Journal of Mathematics, vol.79, issue.1, pp.263-290, 2006. ,
DOI : 10.1007/s11537-006-0507-0
URL : https://hal.archives-ouvertes.fr/hal-00128461
Multidimensional diffusion processes, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1979. ,
DOI : 10.1007/3-540-28999-2
Topics in propagation of chaos, Lecture Notes in Math, vol.22, issue.1, pp.165-251, 1989. ,
DOI : 10.1070/SM1974v022n01ABEH001689
On asymptotic behaviors of the solution of a nonlinear diffusion equation, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.31, issue.1, pp.195-221, 1984. ,
Free energy and the convergence of distributions of diffusion processes of McKean type, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.34, issue.2, pp.443-484, 1987. ,
Diffusion by Continuous Movements, Proceedings of the London Mathematical Society, pp.196-21222, 1921. ,
DOI : 10.1112/plms/s2-20.1.196
Memory-based persistence in a counting random walk process, Physica A: Statistical Mechanics and its Applications, vol.386, issue.1, pp.303-317, 2007. ,
DOI : 10.1016/j.physa.2007.08.027
URL : https://hal.archives-ouvertes.fr/hal-00602039
Aspects and applications of the random walk, Random Materials and Processes, 1994. ,
Some applications of persistent random walks and the telegrapher's equation, Physica A: Statistical Mechanics and its Applications, vol.311, issue.3-4, pp.381-410, 2002. ,
DOI : 10.1016/S0378-4371(02)00805-1
On the Linear Fractional Self-attracting Diffusion, Journal of Theoretical Probability, vol.28, issue.825, pp.502-516, 2008. ,
DOI : 10.1007/s10959-007-0113-y