P. Billingsley, Convergence of Probability Measures, 1968.
DOI : 10.1002/9780470316962

]. P. Bil78 and . Billingsley, Probability and Measure, 1978.

E. [. Biess, D. Korkotian, and . Holcman, Diffusion in a dendritic spine: The role of geometry, Physical Review E, vol.76, issue.2, 2007.
DOI : 10.1103/PhysRevE.76.021922

C. [. Comtet, M. Monthus, and . Yor, Exponential functionals of Brownian motion and disordered systems, Journal of Applied Probability, vol.30, issue.02, pp.255-271, 1998.
DOI : 10.1080/17442509408833883
URL : https://hal.archives-ouvertes.fr/hal-00003990

[. Donati-martin, H. Matsumoto, and M. Yor, On positive and negative moments of the integral of geometric Brownian motions, Statistics & Probability Letters, vol.49, issue.1, pp.45-52, 2000.
DOI : 10.1016/S0167-7152(00)00029-8

M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, 1994.

]. D. Duf00 and . Dufresne, Laguerre Series for Asian and Other Options, Mathematical Finance, vol.10, issue.4, pp.407-428, 2000.

S. [. Holcman, M. Vakeroudis, and . Yor, A Central Limit Theorem for a sequence of Brownian motions in the unit sphere in R n, Preparation, 2011.

]. I. Kash88, S. E. Karatzas, and . Shreve, Brownian Motion and Stochastic Calculus, 1988.

J. F. Le and . Gall, Some properties of planar Brownian motion . Ecole d'été de Saint-Flour XX, Lect. Notes in Mathematics, vol.1527, pp.112-234, 1990.

]. J. Legy87, L. Gall, and M. Yor, Etude asymptotique des enlacements du mouvement brownien autour des droites de l'espace, Prob. Th. Rel. Fields, vol.74, pp.617-635, 1987.

]. Y. Ochi85 and . Ochi, Limit theorems for a class of diffusion processes, Stochastics, vol.15, issue.4, pp.251-269, 1985.
DOI : 10.1080/17442508508833359

]. J. Piy86, M. Pitman, and . Yor, Asymptotic Laws of planar Brownian Motion, Ann. Prob, vol.14, pp.733-779, 1986.

]. J. Piy03, M. Pitman, and . Yor, Infinitely divisible laws associated with hyperbolic functions. Canad, J. Math, vol.55, pp.292-330, 2003.

M. [. Pillay, A. Ward, R. Pierce, T. Straube, and . Kolokolnikov, Analysis of the mean first passage time for narrow escape problems, 2009.

R. [. Pastor, A. Zwanzig, and . Szabo, Diffusion limited first contact of the ends of a polymer: Comparison of theory with simulation, The Journal of Chemical Physics, vol.105, issue.9, p.3878, 1996.
DOI : 10.1063/1.472208

D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, 1999.

]. P. Rou53 and . Rouse, A Theory of the Linear Viscoelastic Properties of Dilute Solutions of Coiling Polymers, J. Chem. Phys, vol.21, p.1272, 1953.

]. F. Spi58 and . Spitzer, Some theorems concerning two-dimensional Brownian Motion, Trans. Amer. Math. Soc, vol.87, pp.187-197, 1958.

. A. Sshe06, Z. Singer, D. Schuss, B. Holcman, and . Eisenberg, Narrow Escape I, J. Stat. Phys, vol.122, issue.3, pp.437-463, 2006.

]. A. Ssh06a, Z. Singer, D. Schuss, and . Holcman, Narrow Escape II, J. Stat. Phys, vol.122, issue.3, pp.465-489, 2006.

]. A. Ssh06b, Z. Singer, D. Schuss, and . Holcman, Narrow Escape III, J. Stat. Phys, vol.122, issue.3, pp.491-509, 2006.

A. [. Schuss, D. Singer, and . Holcman, Narrow Escape: Theory and Applications to Cellular Microdomains, Proc. Nat. Acad. Sci., 41, pp.16098-16103, 2007.
DOI : 10.1073/pnas.0706599104
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1994903

. A. Ssh08, Z. Singer, D. Schuss, and . Holcman, Narrow escape and leakage of Brownian particles, Physical Review E, vol.78, p.51111, 2008.

. A. Sss80, K. Szabo, Z. Schulten, and . Schulten, First passage time approach to diffusion controlled reactions, J. Chem. Phys, vol.72, pp.4350-4357, 1980.

]. S. Vak11 and . Vakeroudis, Nombres de tours de certains processus stochastiques plans et applications à la rotation d'un polymère. (Windings of some planar Stochastic Processes and applications to the rotation of a polymer) PhD Dissertation, 2011.

]. S. Vay11, M. Vakeroudis, and . Yor, Integrability properties and Limit Theorems for the first exit times from a cone for planar Brownian motion, Preparation, 2011.

]. M. Wak93, J. B. Ward, and . Keller, Strong Localized Perturbations of Eigenvalue Problems, SIAM J. Appl. Math, vol.53, pp.770-798, 1993.

M. J. Ward, W. D. Henshaw, and J. B. Keller, Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems, SIAM Journal on Applied Mathematics, vol.53, issue.3, pp.799-828, 1993.
DOI : 10.1137/0153039

G. Wilemski and M. J. Fixman, Diffusion???controlled intrachain reactions of polymers. I Theory, The Journal of Chemical Physics, vol.60, issue.3, p.866, 1974.
DOI : 10.1063/1.1681162

M. Yor, Exponential Functionals of Brownian Motion and Related Processes, 2001.
DOI : 10.1007/978-3-642-56634-9