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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
682007
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
622008
Mean-field critical behavior for the contact process
A Sakai
Journal of Statistical Physics 104 (1), 111-143, 2001
482001
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
312004
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
292005
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
282015
Critical behavior and the limit distribution for long-range oriented percolation. I
LC Chen, A Sakai
Probability theory and related fields 142 (1), 151-188, 2008
282008
Application of the lace expansion to the φ^4 model
A Sakai
Communications in Mathematical Physics 336 (2), 619-648, 2015
232015
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
192011
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
192010
STATICA: A 512-spin 0.25 M-weight annealing processor with an all-spin-updates-at-once architecture for combinatorial optimization with complete spin–spin interactions
K Yamamoto, K Kawamura, K Ando, N Mertig, T Takemoto, M Yamaoka, ...
IEEE Journal of Solid-State Circuits 56 (1), 165-178, 2020
182020
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
182010
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
182009
7.3 STATICA: A 512-spin 0.25 M-weight full-digital annealing processor with a near-memory all-spin-updates-at-once architecture for combinatorial optimization with complete …
K Yamamoto, K Ando, N Mertig, T Takemoto, M Yamaoka, H Teramoto, ...
2020 IEEE International Solid-State Circuits Conference-(ISSCC), 138-140, 2020
162020
Hyperscaling inequalities for the contact process and oriented percolation
A Sakai
Journal of Statistical Physics 106 (1-2), 201-211, 2002
162002
Senile reinforced random walks
M Holmes, A Sakai
Stochastic processes and their applications 117 (10), 1519-1539, 2007
142007
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
132004
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
102017
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
102004
Mixing time and simulated annealing for the stochastic cellular automata
BH Fukushima-Kimura, S Handa, K Kamakura, Y Kamijima, K Kawamura, ...
arXiv preprint arXiv:2007.11287, 2020
62020
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