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Motivated by a recent use of Glauber dynamics for Monte-Carlo simulations of path integral representation of quantum spin models [Krzakala, Rosso, Semerjian, and Zamponi, Phys.
Linear operators leaving invariant a cone in a Banach space
M. G. Kreĭn and M. A. Rutman · 1950
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Lectures on Glauber dynamics for discrete spin models
Fabio Martinelli · 1999
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Glauber dynamics on trees: boundary conditions and mixing time
Fabio Martinelli, Alistair Sinclair, and Dror Weitz · 2004
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Mixing for Markov chains and spin systems
Yuval Peres · 2005
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Path-integral representation for quantum spin models: Application to the quantum cavity method and Monte Carlo simulations
F. Krzakala, A. Rosso, G. Semerjian, and F. Zamponi · 2008
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Stochastic geometry of classical and quantum Ising models
Dmitry Ioffe · 2009
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Markov chains and mixing times
David A. Levin, Yuval Peres, and Elizabeth L. Wilmer · 2009
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Decay of correlations for quantum spin systems with a transverse field: A dynamic approach
Alessandra Cipriani and Paolo Dai Pra · 2010
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