Asaf Nachmias' list of publications

• Unlacing the lace expansion: a survey to hypercube percolation
  (with Remco van der Hofstad),
  submitted.
  
  
• Rate of Convergence for Cardy's Formula
  (with Dana Mendelson and Sam Watson),
  submitted.
  
  
• Non-amenable Cayley graphs of high girth have p_c < p_u and mean-field exponents,
  (with Yuval Peres),
  Electronic Communications in Probability, 17, no. 57, 1--8, 2012.
  
  
• Recurrence of planar graph limits,
  (with Ori Gurel-Gurevich),
  Annals of Mathematics, 177 no. 2, 761-781, 2013.
  
  
• Hypercube Percolation,
  (with Remco van der Hofstad),
  submitted.
  
  
• A power law of order 1/4 for critical mean-field Swendsen-Wang dynamics,
  (with Yun Long, Weiyang Ning and Yuval Peres),
  Memoirs of the AMS, to appear.
  
  
• Non-concentration of return times,
  (with Ori Gurel-Gurevich),
  Annals of Probability, 41, no. 2, 848-870, 2013.
  
  
• The evolution of the cover time
  (with Martin Barlow , Jian Ding and Yuval Peres),
  Combinatorics, Probability and Computing, 20, 331-345, 2011.
  
  
• Arm exponents in high dimensional percolation
  (with Gady Kozma ),
  Journal of the American Mathematical Society, 24, 375-409, 2011.
  
  
• A note about critical percolation on finite graphs
  (with Gady Kozma ),
  Journal of Theoretical Probability, 24, no. 4, 1087-1096, 2011.
  
  
• Is the critical percolation probability local?
  (with Itai Benjamini and Yuval Peres),
  Probability Theory and Related Fields, 149, no. 1-2, 261-269, 2011.
  
  
• The Alexander-Orbach conjecture holds in high dimensions
  (with Gady Kozma ),
  Inventiones Mathematicae, 178, no. 3, 635--654, 2009.
  
  
• Testing the expansion of a graph
  (with Asaf Shapira),
  Information and Computation, 208, no. 4, 309-314, 2010.
  
  
• Mean-field conditions for percolation on finite graphs ,
  Geometric and Functional Analysis (GAFA), 19, 1171-1194, 2009.
  
  
• Mixing time power laws at criticality ,
  (with Yun Long and Yuval Peres ),
  Proc. of the 48th IEEE FOCS, 2007.
  
  
• Critical percolation on random regular graphs
  (with Yuval Peres ),
  Random Structures and Algorithms, 36, no. 2, 111-148, 2010.
  
  
• Critical random graphs: diameter and mixing time
  (with Yuval Peres ),
  Annals of Probability, 36, no. 4, 1267-1286, 2008.
  
  
• Component sizes of the random graph outside the scaling window
  (with Yuval Peres ),
  Latin American Journal of Probability and Mathematical Statistics (ALEA), 3, 133-142, 2007.
  
  
• The critical random graph, with martingales.
  (with Yuval Peres ),
  Israel Journal of Math, 176, 29-43, 2010.
  
  
• Colouring complete bipartite graphs from random lists
  (with Michael Krivelevich ),
  Random Structures and Algorithms 29, no. 4, 436-449, 2006.
  
  
• Colouring powers of cycles from random lists
  (with Michael Krivelevich ),
  European J. of Combinatorics 25, 961-968, 2004.