Akira Sakai
Akira Sakai
Professor in Mathematics, Hokkaido University
Verified email at math.sci.hokudai.ac.jp - Homepage
Title
Cited by
Cited by
Year
Lace expansion for the Ising model
A Sakai
Communications in Mathematical Physics 272 (2), 283-344, 2007
572007
Mean-field behavior for long-and finite range Ising model, percolation and self-avoiding walk
M Heydenreich, R van der Hofstad, A Sakai
Journal of Statistical Physics 132 (6), 1001-1049, 2008
552008
Mean-field critical behavior for the contact process
A Sakai
Journal of Statistical Physics 104 (1-2), 111-143, 2001
452001
Gaussian scaling for the critical spread-out contact process above the upper critical dimension
R van der Hofstad, A Sakai
Electronic Journal of Probability 9, 710-769, 2004
302004
Critical behavior and the limit distribution for long-range oriented percolation. I
LC Chen, A Sakai
Probability theory and related fields 142 (1-2), 151-188, 2008
262008
Critical two-point functions for long-range statistical-mechanical models in high dimensions
A Sakai, LC Chen
The Annals of Probability 43 (2), 639-681, 2015
222015
Application of the lace expansion to the φ^4 model
A Sakai
Communications in Mathematical Physics 336 (2), 619-648, 2015
21*2015
Critical points for spread-out self-avoiding walk, percolation and the contact process above the upper critical dimensions
R van der Hofstad, A Sakai
Probability Theory and Related Fields 132 (3), 438-470, 2005
192005
Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation
LC Chen, A Sakai
The Annals of Probability 39 (2), 507-548, 2011
182011
Critical behavior and the limit distribution for long-range oriented percolation. II: Spatial correlation
LC Chen, A Sakai
Probability Theory and Related Fields 145 (3-4), 435-458, 2009
172009
Hyperscaling inequalities for the contact process and oriented percolation
A Sakai
Journal of Statistical Physics 106 (1-2), 201-211, 2002
172002
Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension: the higher-point functions
R van der Hofstad, A Sakai
Electronic Journal of Probability 15, 801-894, 2010
162010
Convergence of the critical finite-range contact process to super-Brownian motion above the upper critical dimension: the higher-point functions
R van der Hofstad, A Sakai
Electronic Journal of Probability 15, 801-894, 2010
152010
Senile reinforced random walks
M Holmes, A Sakai
Stochastic processes and their applications 117 (10), 1519-1539, 2007
122007
High-dimensional graphical networks of self-avoiding walks
M Holmes, AA Járai, A Sakai, G Slade
Canadian Journal of Mathematics 56 (1), 77-114, 2004
112004
Mean-field behavior for the survival probability and the percolation point-to-surface connectivity
A Sakai
Journal of Statistical Physics 117 (1-2), 111-130, 2004
92004
Co-ordinated regulations of mRNA synthesis and decay during cold acclimation in arabidopsis cells
YC T. Arae, S. Isai, A. Sakai, K. Mineta, M. Yokota-Hirai, Y. Suzuki, S ...
Plant & Cell Physiology 58 (6), 1090-1102, 2017
62017
The quenched critical point for self-avoiding walk on random conductors
AS Yuki Chino
Journal of Statistical Physics 163 (4), 754--764, 2016
52016
Applications of the lace expansion to statistical-mechanical models
A Sakai
Analysis and Stochastics of Growth Processes and Interface Models, 2008
42008
Mixing time and simulated annealing for the stochastic cellular automata
BH Fukushima-Kimura, S Handa, K Kamakura, Y Kamijima, A Sakai
arXiv preprint arXiv:2007.11287, 2020
32020
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