A Unitary Extension of Virtual Permutations, International Mathematics Research Notices, 2011. ,
DOI : 10.1093/imrn/rns167
Construction of an Edwards' probability measure on C, pp.2295-2321, 2010. ,
On penalisation results related with a remarkable class of submartingales, p.4365, 2009. ,
On Some Properties of Universal Sigma-Finite Measures Associated with a Remarkable Class of Submartingales, Publications of the Research Institute for Mathematical Sciences, 2009. ,
DOI : 10.2977/PRIMS/56
On some universal ?-finite measures and some extensions of Doob's optional stopping theorem, 2009. ,
Sur la distribution des valeurs propres de matrices de permutation randomis??es, Annales de l???institut Fourier, vol.63, issue.3, 2010. ,
DOI : 10.5802/aif.2777
A new construction of the ??-finite measures associated with submartingales of class (??), Comptes Rendus Mathematique, vol.348, issue.5-6, pp.311-316, 2010. ,
DOI : 10.1016/j.crma.2010.01.021
On a Flow of Operators Associated to Virtual Permutations, 2010. ,
DOI : 10.1007/978-3-319-11970-0_21
A remarkable ?-finite measure associated with last passage times and penalisation problems, Contemporary Quantitative Finance, Essays in Honour of Eckhard Platen, pp.77-98, 2010. ,
A new kind of augmentation of filtrations, ESAIM: Probability and Statistics, vol.15, pp.39-57, 2011. ,
DOI : 10.1051/ps/2010026
Scaled Limit and Rate of Convergence for the Largest Eigenvalue from the Generalized Cauchy Random Matrix Ensemble, Journal of Statistical Physics, vol.13, issue.1, pp.373-406, 2009. ,
DOI : 10.1007/s10955-009-9854-6
A Global View of Brownian Penalisations References [1] S. Albeverio and X.-Y. Zhou, On the equality of two polymer measures in three dimensions, MSJ Memoirs Jour. Math. Sci. Univ. Tokyo, vol.19, issue.5 3, pp.561-596, 1998. ,
An Introduction to Random Matrices, 2010. ,
DOI : 10.1017/CBO9780511801334
Martingales relatives, Lecture Notes in Math, vol.721, pp.307-321, 1992. ,
DOI : 10.1214/aop/1176994899
Mod-discrete expansions, Probability Theory and Related Fields, vol.18, issue.3-4, 2009. ,
DOI : 10.1007/s00440-013-0498-8
URL : http://arxiv.org/abs/0912.1886
On Walsh's Brownian motions, Lecture Notes in Math, vol.2, issue.53, pp.275-293, 1989. ,
DOI : 10.1080/17442507908833125
Change of Time and Change of Measure, Advanced Series on Statistical Science and Applied Probability, vol.13, 2010. ,
From Black-Scholes and Dupire formulae to last passage times of local martingales. Part A: The infinite time horizon, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00284122
Stochastic integration and stochastic differential equations, Encyclopedia of Mathematics and its Applications, 2002. ,
On the construction of the three dimensional polymer measure, Probability Theory and Related Fields, vol.91, issue.1-2, pp.81-101, 1993. ,
DOI : 10.1007/BF01199313
Infinite Random Matrices and Ergodic Measures, Communications in Mathematical Physics, vol.223, issue.1, pp.87-123, 2001. ,
DOI : 10.1007/s002200100529
URL : http://arxiv.org/abs/math-ph/0010015
A Unitary Extension of Virtual Permutations, International Mathematics Research Notices, 2011. ,
DOI : 10.1093/imrn/rns167
Ewens Measures on Compact Groups and Hypergeometric Kernels, Lecture Notes in Math, pp.351-377, 2006. ,
DOI : 10.1007/978-3-642-15217-7_15
URL : https://hal.archives-ouvertes.fr/hal-00690322
Processes of the class sigma, last zero and drawdown processes, 2009. ,
Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, Selecta Mathematica, vol.5, issue.1, pp.29-106, 1999. ,
DOI : 10.1007/s000290050042
The statistical mechanics of polymers with excluded volume, Proceedings of the Physical Society, vol.85, issue.4, pp.613-624, 1965. ,
DOI : 10.1088/0370-1328/85/4/301
Abstract, Nagoya Mathematical Journal, vol.326, pp.174-203, 2002. ,
DOI : 10.1002/1097-0312(200102)54:2<153::AID-CPA2>3.0.CO;2-5
Asymptotic studies of Brownian functionals, Random walks, Bolyai Soc. Math. Stud, vol.9, pp.187-217, 1999. ,
Harmonic analysis of functions of several complex variables in the classical domains, Transl. Math. Monographs, vol.6, 1963. ,
Mod-Gaussian convergence: new limit theorems in probability and number theory, Forum Mathematicum, vol.23, issue.4, 2008. ,
DOI : 10.1515/form.2011.030
Density matrix of an impenetrable Bose gas and the fifth Painlev?? transcendent, Physica D: Nonlinear Phenomena, vol.1, issue.1, pp.80-158, 1980. ,
DOI : 10.1016/0167-2789(80)90006-8
Zeroes of zeta functions and symmetry, Bulletin of the American Mathematical Society, vol.36, issue.01, pp.1-26, 1999. ,
DOI : 10.1090/S0273-0979-99-00766-1
Harmonic analysis on the infinite symmetric group, Inventiones mathematicae, vol.55, issue.3, pp.773-778, 1993. ,
DOI : 10.1007/s00222-004-0381-4
Random discrete distribution, J. Roy. Stat. Soc. B, vol.37, pp.1-22, 1975. ,
Essentials of Brownian Motion and Diffusion, Math. Surveys and Monographs, vol.18, 1981. ,
DOI : 10.1090/surv/018
Mod-Gaussian convergence and the value distribution of ?(1/2+ it) and related quantities, 2009. ,
Feynman-Kac-Type Theorems and Gibbs Measures on Path Space, De Gruyter Studies in Mathematics, vol.34, 2011. ,
DOI : 10.1515/9783110203738
From Black-Scholes formula, to local times and last passage times for certain submartingales, Prépublication IECN, 2008. ,
Random matrices, Pure and Applied Mathematics Series, vol.142, 2004. ,
The pair correlation of zeros of the zeta function, Proc. of Symposia in Pure Math, pp.24-181, 1973. ,
DOI : 10.1090/pspum/024/9944
Construction of an Edwards' probability measure on C, pp.2295-2321, 2010. ,
On penalisation results related with a remarkable class of submartingales, p.4365, 2009. ,
Scaled Limit and Rate of Convergence for the Largest Eigenvalue from the Generalized Cauchy Random Matrix Ensemble, Journal of Statistical Physics, vol.13, issue.1, pp.373-406, 2009. ,
DOI : 10.1007/s10955-009-9854-6
A Global View of Brownian Penalisations, MSJ Memoirs, vol.19, 2009. ,
DOI : 10.1142/e017
URL : https://hal.archives-ouvertes.fr/hal-00257600
Hua type integrals over unitary groups and over projective limits of unitary groups, Duke Math, Jour, vol.114, pp.239-266, 2002. ,
A class of remarkable submartingales, Stochastic Process, Appl, vol.116, issue.6, pp.917-938, 2006. ,
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices, Amer, Math. Soc. Trans, pp.175-137, 1996. ,
Probability measures on metric spaces, 1967. ,
Beta ensembles, stochastic Airy spectrum, and a diffusion, Journal of the American Mathematical Society, vol.24, issue.4, p.607331, 2006. ,
DOI : 10.1090/S0894-0347-2011-00703-0
A local time approach to the self-intersections of Brownian paths in space, Communications in Mathematical Physics, vol.30, issue.3, pp.327-338, 1983. ,
DOI : 10.1007/BF01213212
Limiting laws for long Brownian bridges perturbed by their one-sided maximum, III, Periodica Mathematica Hungarica, vol.50, issue.1-2, pp.247-280, 2005. ,
DOI : 10.1007/s10998-005-0015-7
URL : https://hal.archives-ouvertes.fr/hal-00013183
Penalising Brownian Paths, Lecture Notes in Math, vol.1969, 2009. ,
DOI : 10.1007/978-3-540-89699-9
URL : https://hal.archives-ouvertes.fr/hal-00373863
On the excursion theory for linear diffusions, Japanese Journal of Mathematics, vol.42, issue.3, pp.91-127, 2007. ,
DOI : 10.1007/s11537-007-0662-y
URL : https://hal.archives-ouvertes.fr/hal-00121803
Distribution of cycle lengths of infinite permutations, Journal of Mathematical Sciences, vol.361, issue.6, pp.4072-4081, 1997. ,
DOI : 10.1007/BF02355803
Central limit theorem for the Edwards model, The Annals of Probability, vol.25, issue.2, pp.573-597, 1997. ,
DOI : 10.1214/aop/1024404412
Appendix to: Euclidian quantum field theory, 1969. ,
A diffusion with a discontinuous local time, Temps locaux, pp.52-53, 1978. ,
Numbers of solutions of equations in finite fields, Bulletin of the American Mathematical Society, vol.55, issue.5, pp.497-508, 1952. ,
DOI : 10.1090/S0002-9904-1949-09219-4
On Edwards' model for long polymer chains, Communications in Mathematical Physics, vol.9, issue.2, pp.131-174, 1980. ,
DOI : 10.1007/BF01197632
On the statistical distribution of the widths and spacings of nuclear resonance levels, Proc. Cambridge Phil. Soc, pp.47-790, 1951. ,
DOI : 10.1017/S0305004100027237
The generalized product moment distribution in samples from a normal multivariate population, Biometrika A, vol.20, pp.32-43, 1928. ,
Gap probabilities in the finite and scaled Cauchy random matrix ensembles, Nonlinearity, vol.13, issue.6, pp.1965-1986, 2000. ,
DOI : 10.1088/0951-7715/13/6/305
Les inegalites de sous-martingales, comme consequences de la relation de domination, Stochastics, vol.465, issue.1-4, pp.1-15, 1979. ,
DOI : 10.1007/BF02394573
The intersection local time of the Westwater process, Probability Theory and Related Fields, vol.8, issue.3-4, pp.375-397, 1992. ,
DOI : 10.1007/BF01192063