Fetching the paper…
Reading the bibliography…
Motivated by some numerical observations on molecular dynamics simulations, we analyze metastable trajectories in a very simplecsetting, namely paths generated by a one-dimensional overdamped Langevin equation for a double well potential.
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables , National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964
1964
Earlier work this paper cites.
L. Breiman, First exit times from a square root boundary , Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66), Vol. II: Contributions to Probability Theory, Part 2, Univ. California Press, Berkeley, Calif., 1967, pp. 9–16
1967
Earlier work this paper cites.
M. I. Freidlin and A. D. Wentzell, Random perturbations of dynamical systems , second ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 260, Springer-Verlag, New York, 1998, Translated from the 1979 Russian original by Joseph Szücs
1979
Earlier work this paper cites.
M. V. Day, Some phenomena of the characteristic boundary exit problem , Diffusion processes and related problems in analysis, Vol. I (Evanston, IL, 1989), Progr. Probab., vol. 22, Birkhäuser Boston, Boston, MA, 1990, pp. 55–71
1990
Earlier work this paper cites.
I. Karatzas and S. E. Shreve, Brownian motion and stochastic calculus , second ed., Graduate Texts in Mathematics, vol. 113, Springer-Verlag, New York, 1991
1991
Earlier work this paper cites.
D. Revuz and M. Yor, Continuous martingales and Brownian motion , Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 293, Springer-Verlag, Berlin, 1991
1991
Earlier work this paper cites.
by same author, Conditional exits for small noise diffusions with characteristic boundary , Ann. Probab. 20
1992
Cited alongside, same era.
by same author, On the exit law from saddle points , Stochastic Process. Appl. 60
1995
Cited alongside, same era.
R. S. Maier and D. L. Stein, Limiting exit location distributions in the stochastic exit problem , SIAM J. Appl. Math. 57
1997
Cited alongside, same era.
A. N. Borodin and P. Salminen, Handbook of Brownian motion—facts and formulae , second ed., Probability and its Applications, Birkhäuser Verlag, Basel, 2002
2002
Cited alongside, same era.
A. Bovier, M. Eckhoff, V. Gayrard, and M. Klein, Metastability in reversible diffusion processes. I. Sharp asymptotics for capacities and exit times , J. Eur. Math. Soc. (JEMS) 6
2004
Cited alongside, same era.
G. Hummer, From transition paths to transition states and rate coefficients , J. Chem. Phys. 120
2004
Later among the works it cites.
S. Luccioli, A. Imparato, S. Mitternacht, A. Irbck, and A. Torcini, Unfolding times for proteins in a force clamp , Phys Rev E Stat Nonlin Soft Matter Phys 81
2010
Later among the works it cites.
2011
Later among the works it cites.
F. Cérou, A. Guyader, T. Lelièvre, and D. Pommier, A multiple replica approach to simulate reactive trajectories , J. Chem. Phys. 134
2011
Later among the works it cites.
2011
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
W. E and E. Vanden-Eijnden, Metastability, conformation dynamics, and transition pathways in complex systems , Multiscale modelling and simulation, Lect. Notes Comput. Sci. Eng., vol. 39, Springer, Berlin, 2004, pp. 35–68
2004
Cited alongside, same era.
Later among the works it cites.