34 citations · 104 across the 5 of their papers we have counts for
5 papers
Brownian motion on R trees
Siva Athreya, Michael Eckhoff, Anita Winter
The real trees form a class of metric spaces that extends the class of trees with edge lengths by allowing behavior such as infinite total edge length and vertices with infinite br…
Precise asymptotics of small eigenvalues of reversible diffusions in the metastable regime
Michael Eckhoff
We investigate the close connection between metastability of the reversible diffusion process X defined by the stochastic differential equation dX_t=-\nabla F(X_t) dt+\sqrt2εdW_t,\…
Metastability and low lying spectra in reversible Markov chains
A. Bovier, M. Eckhoff, V. Gayrard +1
We study a large class of reversible Markov chains with discrete state space and transition matrix . We define the notion of a set of {\it metastable points} as a subset of th…
Metastability and small eigenvalues in Markov chains
A. Bovier, M. Eckhoff, V. Gayrard +1
In this letter we announce rigorous results that elucidate the relation between metastable states and low-lying eigenvalues in Markov chains in a much more general setting and with…
Metastability in stochastic dynamics of disordered mean-field models
A. Bovier, M. Eckhoff, V. Gayrard +1
We study a class of Markov chains that describe reversible stochastic dynamics of a large class of disordered mean field models at low temperatures. Our main purpose is to give a p…