Butsuri
Online ISSN : 2423-8872
Print ISSN : 0029-0181
ISSN-L : 0029-0181
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Volume 76, Issue 9
Displaying 1-19 of 19 articles from this issue
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Preface
Contents
Overview Articles
Researches
  • From Multiple SLE/GFF-Coupling to Dynamical Random Matrix Theory
    Shinji Koshida
    Article type: Researches
    2021 Volume 76 Issue 9 Pages 584-588
    Published: September 05, 2021
    Released on J-STAGE: September 05, 2021
    DOIhttps://doi.org/10.11316/butsuri.76.9_584
    JOURNAL FREE ACCESS
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    In this article, we describe our recent works on multiple Schramm–Loewner evolution (SLE). After recalling that the family of SLEs are characterized by the domain Markov property and the conformal invariance, we formulate our problem of choosing driving processes for a multiple SLE. We present our solution to this problem relying on the theory of coupling between SLE and Gaussian free field (GFF). Specifically, we discover that a multiple SLE is correctly coupled with a certain GFF if and only if the driving processes are given by the Dyson model.

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  • Anatomy of Deep Neural Networks―A Statistical Mechanics Approach
    Hajime Yoshino
    Article type: Researches
    2021 Volume 76 Issue 9 Pages 589-594
    Published: September 05, 2021
    Released on J-STAGE: September 05, 2021
    DOIhttps://doi.org/10.11316/butsuri.76.9_589
    JOURNAL FREE ACCESS
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    Statistical mechanics of a deep neural network, feedforward network of perceptrons, is studied using the replica method. We considered two scenarios 1) random scenario 2) teacher-student scenario in a Bayes optimal setting. The analysis performed in the thermodynamics limit revealed characteristic wetting transitions in the solution space.

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  • Active Gel and Control of Positioning Symmetry
    Ryota Sakamoto, Yusuke T. Maeda, Makito Miyazaki
    Article type: Researches
    2021 Volume 76 Issue 9 Pages 595-600
    Published: September 05, 2021
    Released on J-STAGE: September 05, 2021
    DOIhttps://doi.org/10.11316/butsuri.76.9_595
    JOURNAL FREE ACCESS
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    Symmetry and symmetry breaking underpin wide range of biological phenomena. We studied positioning mechanism of a nucleus-like cluster driven by actomyosin confined in a water-in-oil droplet capsule as a simplified cell model. We found that periodic actomyosin waves move cluster to the center, while actomyosin bridges contract cluster to the droplet interface. Combining active gel theory and percolation theory, we showed that the positioning symmetry is controlled by the tug-of-war between the two distinct actomyosin structures.

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