'Authors': 'Caprice Stanley, Tobias Windisch',
 'Summary': 'Graphs on lattice points are studied whose edges come from a finite set of\nallowed moves of arbitrary length. We show that the diameter of these graphs on\nfibers of a fixed integer matrix can be bounded from above by a constant. We\nthen study the mixing behaviour of heat-bath random walks on these graphs. We\nalso state explicit conditions on the set of moves so that the heat-bath random\nwalk, a generalization of the Glauber dynamics, is an expander in fixed\ndimension.'}
docs[0].page_content[:400]  # all pages of the Document content
'arXiv:1605.08386v1  [math.CO]  26 May 2016\nHEAT-BATH RANDOM WALKS WITH MARKOV BASES\nCAPRICE STANLEY AND TOBIAS WINDISCH\nAbstract. Graphs on lattice points are studied whose edges come from a ﬁnite set of\nallowed moves of arbitrary length. We show that the diameter of these graphs on ﬁbers of a\nﬁxed integer matrix can be bounded from above by a constant. We then study the mixing\nbehaviour of heat-b'
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