Akira Sakaiiβδ@Nj
(ResearchGate, researchmap, Visionary Scientists)
Professor in Mathematics
Contents
IV. Organizing scientific meetings
Last updated on April 20, 2024.
I.
Research interestiϊ{κΕΝ±Ώηj
To rigorously prove various important statistical-physics
phenomena. They include phase
transitions and critical behavior, associated limit
theorems, and convergence to equilibrium measures and its application to
combinatorial optimization. The
mathematical models I have been interested in are
· the Ising model (for magnets) and the stochastic cellular automata,
· the Σ4 model (in lattice scalar-field theory),
· self-avoiding walk (for linear polymers),
· lattice trees and lattice animals (for branched polymers),
· percolation (for random media),
· oriented percolation and the contact process (for the spread of an infectious disease),
· random walk with reinforcement.
1.
Akira Sakai.
Hugo
Duminil-CopinΜΖΡ (Work of Hugo
Duminil-Copin). w (Sugaku) 76 (2024):48–60.
2.
N. Kawamoto and A. Sakai. Spread-out limit of the critical points
for lattice trees and lattice animals in dimensions d ˃ 8. Comb. Probab. Comput., 33 (2024): 238–269. arXiv:2205.09451.
3.
B.H. Fukushima-Kimura, N. Kawamoto, E. Noda and A.
Sakai. Mathematical aspects of the
digital annealerfs simulated annealing algorithm. J.
Stat. Phys., 190
(2023): Article 190.
arXiv:2303.08392.
4.
Y. Kamijima and A. Sakai. Stability of the phase transition and
critical behavior of the Ising model against quantum
perturbation. RIMS
Kokyuroku, 2246 (2023): Article 2.
5.
B.H. Fukushima-Kimura, S. Handa, K. Kamakura, Y. Kamijima, K. Kawamura and A. Sakai. Mixing time and simulated annealing for
the stochastic cellular automata. J.
Stat. Phys., 190
(2023): Article 79. arXiv:2007.11287.
6.
B.H. Fukushima-Kimura, Y. Kamijima,
K. Kawamura and A. Sakai. Stochastic
optimization: Glauber dynamics versus stochastic cellular automata. Transactions
of the Institute of Systems, Control and Information Engineers 36 (2023): 9–16. arXiv:2211.06809.
7.
Akira Sakai.
p[R[VΜ 2020 (Percolation 2020). w (Sugaku) 74
(2022): 253–279.
8.
Akira Sakai.
Correct bounds on the Ising lace-expansion coefficients. Commun. Math. Phys., 392 (2022):
783–823 (the full-text view-only version). arXiv:2003.09856.
9.
B.H. Fukushima-Kimura, Y. Kamijima,
K. Kawamura and A. Sakai. Stochastic
optimization via parallel dynamics: rigorous results and simulations. Proceedings
of the ISCIE International Symposium on Stochastic Systems Theory and its
Applications 2022 (2022): 65–71.
10.
B.H. Fukushima-Kimura, A. Sakai, H. Toyokawa and Y.
Ueda. Stability of energy landscape
for Ising models. Physica A, 583 (2021): 126208. arXiv:2105.00449.
11.
K. Yamamoto, K. Kawamura, K. Ando, N. Mertig, T. Takemoto, M. Yamaoka, H. Teramoto, A. Sakai, S. Takamaeda-Yamazaki and M. Motomura. STATICA: a 512-spin 0.25M-weight annealing
processor with an all-spin-updates-at-once architecture for combinatorial optimization
with complete spin-spin interactions.
IEEE
Journal of Solid-State Circuits, 56 (2021): 165–178.
12.
K. Yamamoto, K. Ando, N. Mertig,
T. Takemoto, M. Yamaoka, H. Teramoto, A. Sakai, S. Takamaeda-Yamazaki
and M. Motomura.
7.3 STATICA: a 512-spin 0.25M-weight full-digital annealing processor
with a near-memory all-spin-updates-at-once architecture for combinatorial
optimization with complete spin-spin interactions. 2020 IEEE International
Solid-State Circuits Conference.
13.
Akira Sakai.
Crossover phenomena in the critical behavior
for long-range models with power-law couplings. RIMS Kokyuroku
Bessatsu, B79
(2020): 51–62. arXiv:1812.10275.
14.
S. Handa, Y. Kamijima and
A. Sakai. A survey on the lace expansion
for the nearest-neighbor models on the BCC lattice. Taiwanese J. Math., 24 (2020):
723–784. arXiv:1712.05573.
15.
S. Handa, K. Kamakura, Y. Kamijima
and A. Sakai. Finding optimal
solutions by stochastic cellular automata. arXiv:1906.06645.
16.
L.-C. Chen and A. Sakai. Critical two-point function for
long-range models with power-law couplings: The marginal case for d ³ dc. Commun.
Math. Phys., 372 (2019): 543–572 (the
full-text view-only version). arXiv:1808.06789.
17.
S. Handa, M. Heydenreich and A. Sakai. Mean-field bound on the 1-arm
exponent for Ising ferromagnets in high dimensions. A chapter in Sojourns in Probability
and Statistical Physics - I (V. Sidoravicius
ed., Springer, 2019). arXiv:1612.08809.
18.
A. Sakai and G. Slade. Spatial moments for high-dimensional
critical contact process, oriented percolation and lattice trees. Electron. J. Probab., 24 (2019):
no. 65, 1–18. arXiv:1810.04011.
19.
Akira Sakai.
Hyperscaling for oriented percolation in 1+1
space-time dimensions. J. Stat. Phys., 171
(2018): 462–469 (the full-text
view-only version). arXiv:1709.08291.
20.
T. Arae, S. Isai, A. Sakai, K. Mineta, M. Yokota-Hirai, Y. Suzuki, S. Kanaya, J.
Yamaguchi, S. Naito and Y. Chiba. Coordinated regulations of
mRNA synthesis and decay during cold acclimation in arabidopsis
cells. Plant
Cell Physiol., 58 (2017): 1090–1102.
21.
Y. Chino and A. Sakai. The quenched critical point for
self-avoiding walk on random conductors. J.
Stat. Phys., 163 (2016): 754–764. arXiv:1508.01262.
22.
Akira Sakai.
Application of the lace expansion to the Σ4 model. Commun. Math.
Phys., 336 (2015): 619–648. arXiv:1403.5714.
23.
L.-C. Chen and A. Sakai. Critical two-point functions for long-range
statistical-mechanical models in high dimensions. Ann.
Probab., 43 (2015): 639–681.
arXiv:1204.1180.
24.
L.-C. Chen and A. Sakai. Asymptotic behavior
of the gyration radius for long-range self-avoiding walk and long-range
oriented percolation. Ann. Probab., 39
(2011): 507–548. arXiv:1002.0875.
25.
Akira Sakai.
Large-time asymptotics of the gyration radius
for long-range statistical-mechanical models. RIMS
Kokyuroku Bessatsu, B21 (2011): 53–62. arXiv:0912.5117.
26. R. van der Hofstad and A.
Sakai. Convergence of the critical finite-range
contact process to super-Brownian motion above the upper critical dimension: The
higher-point functions. Electron. J. Probab., 15 (2010): no. 27, 801–894. arXiv:0809.1712.
27.
L.-C. Chen and A. Sakai. Critical behavior
and the limit distribution for long-range oriented percolation. II: Spatial
correlation. Probab.
Theory Relat. Fields, 145 (2009): 435–458. arXiv:0804.2039.
28.
Akira Sakai.
Applications of the lace expansion to statistical-mechanical models. A chapter in Analysis and
Stochastics of Growth Processes and Interface Models (P. Mörters et al. eds., Oxford University Press, 2008).
29.
M. Heydenreich, R. van der Hofstad and A. Sakai. Mean-field behavior
for long- and finite range Ising model, percolation and self-avoiding walk. J. Stat. Phys., 132 (2008): 1001–1049. arXiv:0712.0312.
30.
L.-C. Chen and A. Sakai. Critical behavior
and the limit distribution for long-range oriented percolation. I. Probab. Theory
Relat. Fields, 142 (2008): 151–188. arXiv:0703455.
31.
Akira Sakai.
Diagrammatic bounds on the lace-expansion coefficients for oriented
percolation. arXiv:0708.2897.
32.
M. Holmes and A. Sakai. Senile reinforced random walks. Stoch.
Proc. Appl., 117 (2007): 1519–1539.
33.
Akira Sakai. Lace expansion for the Ising model. Commun.
Math. Phys., 272
(2007): 283–344. arXiv:math-ph/0510093.
34. R. van der Hofstad and A.
Sakai. Critical points for spread-out
self-avoiding walk, percolation and the contact process above the upper
critical dimensions. Probab. Theory
Relat. Fields, 132 (2005): 438–470. arXiv:math/0402050.
35. Akira
Sakai. Mean-field behavior for the survival probability and the percolation
point-to-surface connectivity. J.
Stat. Phys., 117 (2004): 111–130.
36. R. van der Hofstad and A. Sakai. Gaussian scaling for the critical
spread-out contact process above the upper critical dimension. Electron. J. Probab., 9 (2004): no. 24, 710–769. arXiv:math/0402049.
37. M. Holmes, A.A. Járai, A. Sakai and G.
Slade. High-dimensional
graphical networks of self-avoiding walks. Canad.
J. Math., 56 (2004): 77–114.
38. Akira
Sakai. Hyperscaling
inequalities for the contact process and oriented percolation. J. Stat. Phys.,
106 (2002): 201–211.
39. Akira
Sakai. Mean-field critical behavior for the contact process. J. Stat. Phys.,
104 (2001): 111–143.
Year 2024
1. Mathematical foundation of ground-state
search MCMC methods.
·
Taiwan
Probability Workshop 2024 (June 3–7). Institute of Mathematics, Academia Sinica, Taiwan.
·
Forest
Workshop 2024 (March 29–31). TKP Garden City Premium Sapporo Odori, Japan.
2. Mathematical foundation of
various MCMC methods.
·
French
Japanese Conference on Probability & Interactions (March 6–8). IHES,
France.
Year 2023
1.
Mathematical
foundation of various MCMC methods.
·
Mathematics
of Random Systems Summer School 2023 (September 11–15). RIMS, Kyoto
University, Japan.
2.
Stability
of the critical behavior of the Ising model against
quantum perturbation.
·
Workshop
on Probabilistic Methods in Statistical Mechanics of Random Media and Random
Fields 2023 (January 9–13). Kyushu University, Japan.
Year 2022
1. Stability of the critical behavior of the Ising model against quantum perturbation.
·
Tokyo
Probability Seminar (December 26). Keio University, Japan.
2. Stability of the phase transition and
critical behavior of the Ising model against quantum
perturbation.
·
Probability
Symposium (December 19–22). RIMS, Kyoto University, Japan.
3. Spread-out
limit of the critical points for various statistical-mechanics models.
·
Probability
and Analysis on Random Structures and Related Topics (August 8–10). RIMS,
Kyoto University, Japan.
4. Mixing
time and simulated annealing for the stochastic cellular automata, and beyond.
·
Workshop
on Probabilistic Methods in Statistical Mechanics of Random Media and Random
Fields 2022 (January 11–14). Kyushu University, Japan.
Year 2021
1. Mixing time and simulated annealing for the
stochastic cellular automata, and beyond.
·
The
Annual Probability Symposium (December 14–17). Kyoto University, Japan.
2. Stochastic optimization via parallel
dynamics: rigorous results and
simulations.
·
The
53rd ISCIE International Symposium on Stochastic Systems Theory and
Its Applications (October 30–31). Ritsumeikan
University, Japan.
IV.
Organizing scientific meetings
Year 2024
·
The
RIMS Workshop gRigorous Statistical Mechanics and Related Topics Vh (November 11–14, 2024). RIMS, Kyoto University,
Japan.
·
2024 Open
Japanese-German Conference on Stochastic Analysis (September 9–13, 2024). Hokkaido University, Japan.
·
Hokkaido Math-Sci
Seminar (February 14, 2024). Hokkaido University, Japan.
Year 2023 & before
·
The IMS
Program gRandom
Interacting Systems, Scaling Limits, and Universalityh (December 4–22, 2023). IMS, National University
of Singapore, Singapore.
·
The 16th
HU-SNU Joint Symposium on Mathematics (November 11, 2023). Hokkaido
University, Japan.
·
One-day
Workshop on Mathematical Analysis (July 11, 2023). Hokkaido University, Japan.
·
AgiΊCxguΠοΕv£·ιwv (December 2,
2022). Hokkaido University, Japan.
·
The
RIMS Workshop gRigorous
Statistical Mechanics and Related Topics IVh (November 15–18, 2022). RIMS, Kyoto University,
Japan.
·
Pacific Workshop
on Probability and Statistical Physics (December 9–11, 2021). PIMS, University of British Columbia, Canada.
·
The
RIMS Workshop gRigorous
Statistical Mechanics and Related Topics IIIh (November 16–19, 2021). RIMS, Kyoto University,
Japan.
·
The 10th World Congress in Probability and
Statistics (July 19–23, 2021).
Seoul National University, South Korea.
·
The
RIMS Workshop gRigorous
Statistical Mechanics and Related Topics IIh (November 24–27, 2020). RIMS, Kyoto University, Japan.
·
The
RIMS Workshop gRigorous
Statistical Mechanics and Related Topicsh (November 18–21, 2019). RIMS, Kyoto University, Japan.
·
The
1-day workshop gRecent Progress
in Probability Theory and Its Applicationsh (July 28, 2017). Hokkaido
University, Japan.
·
2017
Spring Probability Workshop (March 6–8, 2017). Academia Sinica, Taiwan.
·
The 2nd
workshop on Universality and Scaling Limits in Probability and Statistical
Mechanics (August 5–9, 2013).
Hokkaido University, Japan.
·
International
Workshop on Potential Theory (February 4, 2013). Hokkaido University, Japan.
·
The
RIMS workshop gApplications
of Renormalization Group Methods in Mathematical Sciencesh (September 12–14, 2011). Kyoto University, Japan.
·
The
SPA Satellite workshop gUniversality
and Scaling Limits in Probability and Statistical Mechanicsh (August 30–September 3, 2010). Hokkaido
University, Japan.
V.
Teaching (April 2024 – February 2025)
1st semester |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
8:45 – 12:00 |
N.A. |
N.A. |
N.A. |
F.M. |
N.A. |
13:00 – 14:50 |
N.A. |
N.A. |
N.A. |
F.M. |
N.A. |
15:00 – 16:00 |
Ή |
N.A. |
N.A. |
F.M. |
‘δ |
16:10 – 17:10 |
ίA |
Q-Ising |
SCA/DA |
F.M. |
|ΰ |
17:20 – 18:20 |
© |
Q-Ising |
SCA/DA |
F.M. |
μΰV |
(Lectures; Group Seminars; Faculty Meetings; Office
Hour; Not
Available )
1. Group Seminars @ Science
Bldg 4-506.
·
M1 seminar (‘δ) on Cutoff phenomenon and sharp threshold.
·
M1 seminar (|ΰ) on Intersection probabilities of random walks.
·
M1 seminar (ίA) on The Ising 1-arm exponent in high dimensions.
·
M1 seminar (©) on Phase transition & critical behavior of oriented percolation.
·
M2 seminar (Ή) on The random conductance model.
·
M2 seminar (μΰV) on Continuity of the percolation probability.
·
SCA/DA meeting @ Science Bldg
3-513.
·
Q-Ising meeting @ zoom.
· February
2020 – present
Professor in Mathematics, Faculty of
Science, Hokkaido University, Japan.
Ø
Head
of the Department (April 2024 –
present)
Ø
Vice
head of the Department (April 2023 –
March 2024)
Ø
Department
head of the Academic Affairs Committee (April 2022 – March 2023)
· March
2020 – present
Associate editor of Mathematical Physics, Analysis
and Geometry.
· Excellent
Teachers 2022,
2021,
2018,
2015,
2012,
2011
The Hokkaido University Presidentfs Award for Teaching Excellence in 2013 and in 2012.
· August
2020 – October 2023
Associate editor of Taiwanese
Journal of Mathematics.
· September
2015 – August 2019
Councilor of the
Bernoulli Society.
· April
2011 – January 2020
Associate professor in Mathematics, Faculty of
Science, Hokkaido University, Japan.
· March
2008 – March 2011
Tenure-track assistant professor of L-Station,
Hokkaido University, Japan.
· April
2006 – February 2008
Lecturer in Probability of the
Department of Mathematical Sciences, the University of Bath, UK.
· April
2004 – March 2006
Postdoctoral researcher of Wiskunde
en Informatica, Technische Universiteit Eindhoven
(TU/e), the Netherlands.
· January
2003 – March 2004
Postdoctoral researcher of the Interacting Stochastic Systems
(ISS) group, EURANDOM, the
Netherlands.
· January
2001 – December 2002
Postdoctoral researcher of the Department of Mathematics, the University
of British Columbia, Canada.
· April
1996 – December 2000
Ph.D. study in Applied Physics, Tokyo Institute of
Technology, Japan.
Awarded Ph.D. for the thesis gAnalyses of the
Critical Behavior for the Contact Process based on a
Percolation Structureh supervised by Takashi Hara.
· April
1994 – March 1996
Master study in Applied Physics, Tokyo Institute of
Technology, Japan.
Awarded M.Sc. for the thesis gApproach to Fractal
Growth Phenomenah supervised by Takashi Hara.
· April
1990 – March 1994
Undergraduate study in Applied Physics, Tokyo
Institute of Technology, Japan.
Awarded B.Sc. for the thesis gRecurrent in the
Plane, Transient in Spaceh supervised by Kohei Uchiyama.