PR ] 7 M ar 2 01 3 REACTIVE TRAJECTORIES AND THE TRANSITION PATH
暂无分享,去创建一个
[1] A. Bovier,et al. Metastability in Reversible Diffusion Processes I: Sharp Asymptotics for Capacities and Exit Times , 2004 .
[2] Uniqueness for diffusions degenerating at the boundary of a smooth bounded set , 2004, math/0503590.
[3] C. Dellago,et al. Transition Path Sampling , 2005 .
[4] Martin Held,et al. Efficient Computation, Sensitivity, and Error Analysis of Committor Probabilities for Complex Dynamical Processes , 2011, Multiscale Model. Simul..
[5] Paul Dupuis,et al. The design and analysis of a generalized RESTART/DPR algorithm for rare event simulation , 2011, Ann. Oper. Res..
[6] T. Lelièvre,et al. On the length of one-dimensional reactive paths , 2012, 1206.0949.
[7] P. Bauman. Positive solutions of elliptic equations in nondivergence form and their adjoints , 1984 .
[8] Philipp Metzner,et al. Illustration of transition path theory on a collection of simple examples. , 2006, The Journal of chemical physics.
[9] Richard L. Tweedie,et al. Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.
[10] Ioannis Karatzas,et al. Brownian Motion and Stochastic Calculus , 1987 .
[11] M. Yor,et al. Continuous martingales and Brownian motion , 1990 .
[12] Yuri Bakhtin. Gumbel distribution in exit problems , 2013, 1307.7060.
[13] L. Stoica,et al. POSITIVE HARMONIC FUNCTIONS AND DIFFUSION (Cambridge Studies in Advanced Mathematics 45) , 1996 .
[14] L. Caffarelli,et al. A theorem of real analysis and its application to free boundary problems , 1985 .
[15] Kenneth A. Berman,et al. Random Paths and Cuts, Electrical Networks, and Reversible Markov Chains , 1990, SIAM J. Discret. Math..
[16] A. Sznitman. Brownian motion, obstacles, and random media , 1998 .
[17] David Chandler,et al. Transition path sampling: throwing ropes over rough mountain passes, in the dark. , 2002, Annual review of physical chemistry.
[18] L. Caffarelli,et al. A Geometric Approach to Free Boundary Problems , 2005 .
[19] D. Gilbarg,et al. Elliptic Partial Differential Equa-tions of Second Order , 1977 .
[20] K. Athreya,et al. A New Approach to the Limit Theory of Recurrent Markov Chains , 1978 .
[21] A. Bovier,et al. Metastability in reversible diffusion processes II. Precise asymptotics for small eigenvalues , 2005 .
[22] R. Bass,et al. Degenerate stochastic differential equations and super-Markov chains , 2002 .
[23] R. Pinsky. Positive Harmonic Functions and Diffusion: References , 1995 .
[24] Eric Vanden-Eijnden,et al. Transition path theory. , 2014, Advances in experimental medicine and biology.
[25] Eric Vanden-Eijnden,et al. Transition-path theory and path-finding algorithms for the study of rare events. , 2010, Annual review of physical chemistry.
[26] U. Haussmann,et al. TIME REVERSAL OF DIFFUSIONS , 1986 .
[27] Eric Vanden-Eijnden,et al. Invariant measures of stochastic partial differential equations and conditioned diffusions , 2005 .
[28] E. Vanden-Eijnden,et al. Rare Event Simulation of Small Noise Diffusions , 2012 .
[29] M. Freidlin,et al. Random Perturbations of Dynamical Systems , 1984 .
[30] J. Voss,et al. Analysis of SPDEs arising in path sampling. Part I: The Gaussian case , 2005 .
[31] G. Hummer. From transition paths to transition states and rate coefficients. , 2004, The Journal of chemical physics.
[32] A. Stuart,et al. ANALYSIS OF SPDES ARISING IN PATH SAMPLING PART II: THE NONLINEAR CASE , 2006, math/0601092.
[33] A. Veretennikov,et al. On polynomial mixing bounds for stochastic differential equations , 1997 .
[34] W. E,et al. Towards a Theory of Transition Paths , 2006 .
[35] Ron Elber,et al. On the assumptions underlying milestoning. , 2008, The Journal of chemical physics.