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math.PR2013
Comparison of quenched and annealed invariance principles for random conductance model
Martin Barlow, Krzysztof Burdzy, Adam Timar
We show that there exists an ergodic conductance environment such that the weak (annealed) invariance principle holds for the corresponding continuous time random walk but the quen…
math.PR2013
Forward Brownian Motion
Krzysztof Burdzy, Michael Scheutzow
We consider processes which have the distribution of standard Brownian motion (in the forward direction of time) starting from random points on the trajectory which accumulate at $…