@phdthesis{Eckhoff2000,
  author    = {Eckhoff, Michael},
  title     = {Capacity and the low lying spectrum in attractive markov chains},
  pages     = {111 S.},
  year      = {2000},
  language  = {en}
}
@book{EckhoffKlein2000,
  author    = {Eckhoff, Michael and Klein, Markus},
  title     = {Long time behavior of one-dimensional stochastic dynamics},
  series = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  volume    = {455},
  journal   = {Preprint / SFB 288, Differentialgeometrie und Quantenphysik},
  publisher = {TU Berlin, Mathematik Sonderforschungsbereich 288},
  address   = {Berlin},
  pages     = {33 S.},
  year      = {2000},
  language  = {en}
}
@article{BovierEckhoffGayrardetal.2002,
  author    = {Bovier, Anton and Eckhoff, Michael and Gayrard, Veronique and Klein, Markus},
  title     = {Metastability and low-Lying spectra in reversible Markov chains},
  year      = {2002},
  language  = {en}
}
@article{KleinBovierEckhoffetal.2000,
  author    = {Klein, Markus and Bovier, Anton and Eckhoff, Michael and Gayrard, V{\´e}ronique},
  title     = {Metastability and small eigenvalues in Markov chains},
  year      = {2000},
  language  = {en}
}
@article{BovierEckhoffGayrardetal.2004,
  author    = {Bovier, Anton and Eckhoff, Michael and Gayrard, Veronique and Klein, Markus},
  title     = {Metastability in reversible diffusion processes : I. Sharp asymptotics for capacities and exit times},
  issn      = {1435-9855},
  year      = {2004},
  abstract  = {We develop a potential theoretic approach to the problem of metastability for reversible diffusion processes with generators of the form -epsilonDelta+ delF(.) del on R-d or subsets of R-d, where F is a smooth function with finitely many local minima. In analogy to previous work on discrete Markov chains, we show that metastable exit times from the attractive domains of the minima of F can be related, up to multiplicative errors that tend to one as epsilon down arrow 0, to the capacities of suitably constructed sets. We show that these capacities can be computed, again up to multiplicative errors that tend to one, in terms of local characteristics of F at the starting minimum and the relevant saddle points. As a result, we are able to give the first rigorous proof of the classical Eyring - Kramers formula in dimension larger than 1. The estimates on capacities make use of their variational representation and monotonicity properties of Dirichlet forms. The methods developed here are extensions of our earlier work on discrete Markov chains to continuous diffusion processes},
  language  = {en}
}
@article{BovierEckhoffGayrardetal.2001,
  author    = {Bovier, Anton and Eckhoff, Michael and Gayrard, Veronique and Klein, Markus},
  title     = {Metastability in stochastic dynamics of disordered mean-field models},
  issn      = {0178-8051},
  year      = {2001},
  language  = {en}
}