Why it is sufficient to consider only the case where the seed of linear cellular automata is $1$

Authors: Kawaharada, Akane

Subject Terms: Mathematics - Dynamical Systems, Nonlinear Sciences - Cellular Automata and Lattice Gases, 37B15, 68Q80, 05E18, 28A80

Access URL: http://arxiv.org/abs/2310.07167

$D$-dimensional cellular automata provide Salem's singular function $L_{\alpha}$ with $\alpha=1/(2D+1)$ and $1/(2^D+1)$

Authors: Kawaharada, Akane

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/2207.13557

Cellular automata that generate symmetrical patterns give singular functions

Authors: Kawaharada, Akane

Subject Terms: Nonlinear Sciences - Cellular Automata and Lattice Gases, Mathematics - Dynamical Systems, 26A30, 28A80, 37B15, 68Q80

Access URL: http://arxiv.org/abs/2203.05236

Discontinuous Riemann integrable functions emerging from cellular automata

Authors: Kawaharada, Akane

Subject Terms: Mathematics - Dynamical Systems, 26A30, 28A80, 37B15, 68Q80

Access URL: http://arxiv.org/abs/2103.02256

Singular function emerging from one-dimensional elementary cellular automaton Rule 150

Authors: Kawaharada, Akane

Subject Terms: Mathematics - Dynamical Systems, Nonlinear Sciences - Cellular Automata and Lattice Gases

Access URL: http://arxiv.org/abs/2008.13217

Why it is sufficient to consider only the case where the seed of linear cellular automata is 1

Authors: Kawaharada, Akane

Source: In Physica D: Nonlinear Phenomena March 2024 459

Fractal Structure of a Class of Two-Dimensional Two-State Cellular Automata

Authors: Kawaharada, Akane, Namiki, Takao

Source: 2017 Fifth International Symposium on Computing and Networking (CANDAR) CANDAR Computing and Networking (CANDAR), 2017 Fifth International Symposium on. :205-208 Nov, 2017

Relation: 2017 Fifth International Symposium on Computing and Networking (CANDAR)

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Proper Choice of Spatio-Temporal Scale and Dataset Subsampling for Empirical CA Construction

Authors: Kawaharada, Akane, Miyaji, Tomoyuki, Nakano, Naoto

Source: 2015 Third International Symposium on Computing and Networking (CANDAR) Computing and Networking (CANDAR), 2015 Third International Symposium on. :424-429 Dec, 2015

Relation: 2015 Third International Symposium on Computing and Networking (CANDAR)

An Analyzable Method for Constructing a Cellular Automaton from a Continuous System

Authors: Kawaharada, Akane, Miyaji, Tomoyuki, Nakano, Naoto

Source: 2015 Third International Symposium on Computing and Networking (CANDAR) Computing and Networking (CANDAR), 2015 Third International Symposium on. :418-423 Dec, 2015

Relation: 2015 Third International Symposium on Computing and Networking (CANDAR)

Constructing Cellular Automaton Models from Observation Data

Authors: Kawaharada, Akane, Iima, Makoto

Source: 2013 First International Symposium on Computing and Networking Computing and Networking (CANDAR), 2013 First International Symposium on. :559-562 Dec, 2013

Relation: 2013 First International Symposium on Computing and Networking (CANDAR)

Fractal Patterns Created by Ulam's Cellular Automaton

Authors: Kawaharada, Akane

Source: 2014 Second International Symposium on Computing and Networking Computing and Networking (CANDAR), 2014 Second International Symposium on. :484-486 Dec, 2014

Relation: 2014 Second International Symposium on Computing and Networking (CANDAR)

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Number of nonzero states in prefractal sets generated by cellular automata

Authors: Kawaharada, Akane, Namiki, Takao

Source: Journal of mathematical physics. 61(9)

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCvdc_100107581011.0x000001&indx=1&recIds=ETOCvdc_100107581011.0x000001

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Cellular Automata Automatically Constructed from a Bioconvection Pattern.

Authors: Kawaharada, Akane, Shoji, Erika, Nishimori, Hiraku, Awazu, Akinori, Izumi, Shunsuke, Iima, Makoto

Source: Recent Advances in Natural Computing: Selected Results from the IWNC 8 Symposium; 2016, p15-25, 11p

Toward Understanding Global Flow Structure.

Authors: Iima, Makoto, Yamaguchi, Takayuki, Watanabe, Takeshi, Kawaharada, Akane, Tasaka, Yuji, Shoji, Erika

Source: Mathematical Fluid Dynamics, Present & Future; 2016, p139-158, 20p