Asaf Nachmias' list of publications
- Indistinguishability of Trees in Uniform Spanning Forests
(with Tom Hutchcroft)
submitted.
- Recurrence of multiply-ended planar triangulations
(with Ori Gurel-Gurevich, Juan Souto)
submitted.
- Unimodular Hyperbolic Triangulations: Circle Packing and Random Walk
(with Omer Angel, Gourab Ray, Tom Hutchcroft)
submitted.
- Random walks on stochastic hyperbolic half planar triangulations
(with Omer Angel, Gourab Ray), Random Structures and Algorithms,
to appear.
- Boundaries of planar graphs, via circle packings
(with Omer Angel, Martin Barlow, Ori Gurel-Gurevich),
Annals of Probability, to appear.
- Electrical resistance of the low dimensional critical branching random walk
(with Antal Jarai),
Communications in Mathematical Physics, 331, 67-109, 2014.
- Unlacing the lace expansion: a survey to hypercube percolation
(with Remco van der Hofstad),
Metrika, 77 no. 1, 23-50, 2014.
- Rate of Convergence for Cardy's Formula
(with Dana Mendelson and Sam Watson),
Communications in Mathematical Physics, 329, 29-56, 2014.
- 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),
Journal of the European Mathematical Society, to appear.
- 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, 2014.
- 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.