S. Bazazi, P. Romanczuk, S. Thomas, L. Schimansky-geier, J. J. Hale et al., Nutritional state and collective motion: from individuals to mass migration, Proceedings of the Royal Society B: Biological Sciences, vol.252, issue.1333, p.356, 2010.
DOI : 10.1098/rspb.1993.0044

D. Callan, A combinatorial survey of identities for the double factorial, 2009.

S. Challa and Y. Bar-shalom, Nonlinear filter design using Fokker-Planck-Kolmogorov probability density evolutions, IEEE Transactions on Aerospace and Electronic Systems, vol.36, issue.1, 2000.
DOI : 10.1109/7.826335

I. D. Couzin, Collective Memory and Spatial Sorting in Animal Groups, Journal of Theoretical Biology, vol.218, issue.1, p.1, 2002.
DOI : 10.1006/jtbi.2002.3065

F. E. Daum, New nonlinear filters and exact solutions of the Fokker-Planck equation, Proceedings of IEEE American Control Conference, pp.884-888, 1986.

F. E. Daum, Solution of the Zakai equation by separation of variables, IEEE Transactions on Automatic Control, vol.32, issue.10, pp.941-943, 1987.
DOI : 10.1109/TAC.1987.1104460

F. E. Daum, Nonlinear filters: beyond the Kalman filter Aerospace and Electronic Systems Magazine, p.20, 2005.

R. Dreyfus, J. Baudry, M. L. Roper, M. Fermigier, H. A. Stone et al., Microscopic artificial swimmers, Nature, vol.437, issue.7060, 2005.
DOI : 10.1038/nature04090
URL : https://hal.archives-ouvertes.fr/hal-00015847

F. Mark and H. Wenqing, On Diffusion in Narrow Random Channels, J Stat Phys, vol.152, pp.136-158, 2013.

H. Peter and M. Fabio, Artificial Brownian motors: Controlling transport on the nanoscale, Reviews of Modern Physics, vol.81, issue.1, p.387, 2009.

J. C. Latombe, Robot motion planning, 1991.
DOI : 10.1007/978-1-4615-4022-9

E. Lauga and T. R. Powers, The hydrodynamics of swimming microorganisms, Reports on Progress in Physics, vol.72, issue.9, 2009.
DOI : 10.1088/0034-4885/72/9/096601

M. Leoni, J. Kotar, B. Bassetti, P. Cicuta, and M. C. Lagomarsino, A basic swimmer at low Reynolds number, Soft Matter, vol.103, issue.4 Pt 1, 2009.
DOI : 10.1039/B812393D

A. W. Long, K. C. Wolfe, M. J. Mashner, and G. S. Chirikjian, The Banana Distribution is Gaussian: A Localization Study with Exponential Coordinates, Robotics: Science and Systems VIII, 2012.
DOI : 10.15607/RSS.2012.VIII.034

A. Martinelli, The odometry error of a mobile robot with a synchronous drive system, IEEE Transactions on Robotics and Automation, vol.18, issue.3, pp.399-405, 2002.
DOI : 10.1109/TRA.2002.1019477
URL : https://hal.archives-ouvertes.fr/inria-00359947

A. Martinelli, The accuracy on the parameter estimation of an odometry system of a mobile robot, ICRA '02, IEEE International Conference on Robotics and Automation, vol.2, pp.1378-1383, 2002.

H. Niwa, Self-organizing Dynamic Model of Fish Schooling, Journal of Theoretical Biology, vol.171, issue.2, p.123, 1994.
DOI : 10.1006/jtbi.1994.1218

W. Park, J. S. Kim, Y. Zhou, N. J. Cowan, A. M. Okamura et al., Diffusion-based motion planning for a nonholonomic flexible needle model, ICRA, 2005.

W. Park, Y. Liu, Y. Zhou, M. Moses, and G. S. Chirikjian, Kinematic state estimation and motion planning for stochastic nonholonomic systems using the exponential map, Robotica, vol.20, issue.34, pp.419-434, 2008.
DOI : 10.2514/2.4404

W. Park, K. B. Reed, A. M. Okamura, and G. S. Chirikjian, Estimation of model parameters for steerable needles, 2010 IEEE International Conference on Robotics and Automation, 2010.
DOI : 10.1109/ROBOT.2010.5509380

R. Peter, Brownian motors: noisy transport far from equilibrium, Physics Reports, vol.361, pp.57-265, 2002.

H. Risken, The Fokker-Planck Equation: Methods of Solution and Application, 2nd ed., Journal of Applied Mechanics, vol.58, issue.3, 1989.
DOI : 10.1115/1.2897281

A. Sokolov, I. S. Aranson, J. O. Kessler, and R. E. Goldstein, Concentration Dependence of the Collective Dynamics of Swimming Bacteria, Physical Review Letters, vol.98, issue.15, p.158102
DOI : 10.1103/PhysRevLett.98.158102

P. Tierno, R. Golestanian, I. Pagonabarraga, and F. Sagues, Magnetically Actuated Colloidal Microswimmers, The Journal of Physical Chemistry B, vol.112, issue.51, 2008.
DOI : 10.1021/jp808354n

P. Tierno, . Golestanian, F. Pagonabarraga, and . Sagués, Controlled Swimming in Confined Fluids of Magnetically Actuated Colloidal Rotors, Physical Review Letters, vol.101, issue.21, p.218304, 2008.
DOI : 10.1103/PhysRevLett.101.218304

R. Trouilloud, T. S. Yu, A. E. Hosoi, and E. Lauga, Soft Swimming: Exploiting Deformable Interfaces for Low Reynolds Number Locomotion, Physical Review Letters, vol.101, issue.4, p.48102, 2008.
DOI : 10.1103/PhysRevLett.101.048102

T. Jonathan, Brownian Motion Applied to Human Intersections, thesis at Texas State University, Mathematics, p.2012

Y. Zhou and G. S. Chirikjian, Probabilistic models of dead-reckoning error in nonholonomic mobile robots, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422), 2003.
DOI : 10.1109/ROBOT.2003.1241822

Y. Zhou and G. S. Chirikjian, Planning for noise-induced trajectory bias in nonholonomic robots with uncertainty, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004, pp.4596-4601, 2004.
DOI : 10.1109/ROBOT.2004.1302442