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Goto, Shin-itiro, Umeno, Ken (2018) Maps on statistical manifolds exactly reduced from the Perron-Frobenius equations for solvable chaotic maps. Journal of Mathematical Physics, 59. 32701pp. doi:10.1063/1.5001841

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Reference TypeJournal (article/letter/editorial)
TitleMaps on statistical manifolds exactly reduced from the Perron-Frobenius equations for solvable chaotic maps
JournalJournal of Mathematical Physics
AuthorsGoto, Shin-itiroAuthor
Umeno, KenAuthor
Year2018 (March)Volume59
PublisherAIP Publishing
DOIdoi:10.1063/1.5001841Search in ResearchGate
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Mindat Ref. ID5771776Long-form Identifiermindat:1:5:5771776:4
GUID0
Full ReferenceGoto, Shin-itiro, Umeno, Ken (2018) Maps on statistical manifolds exactly reduced from the Perron-Frobenius equations for solvable chaotic maps. Journal of Mathematical Physics, 59. 32701pp. doi:10.1063/1.5001841
Plain TextGoto, Shin-itiro, Umeno, Ken (2018) Maps on statistical manifolds exactly reduced from the Perron-Frobenius equations for solvable chaotic maps. Journal of Mathematical Physics, 59. 32701pp. doi:10.1063/1.5001841
In(n.d.) Journal of Mathematical Physics Vol. 59. AIP Publishing

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Goto, Shin-itiro, Hino, Hideitsu (2020) Diffusion equations from master equations—A discrete geometric approach. Journal of Mathematical Physics, 61 (11) 113301pp. doi:10.1063/5.0003656
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Pingel, D., Schmelcher, P., Diakonos, F. K. (1999) Theory and examples of the inverse Frobenius–Perron problem for complete chaotic maps. Chaos: An Interdisciplinary Journal of Nonlinear Science, 9. 357-366 doi:10.1063/1.166413
Shigematsu, H. (1990) Statistical-thermodynamic approach to a chaotic dynamical system: Exactly solvable examples. Journal of Statistical Physics, 59. 257-297 doi:10.1007/bf01015570
Luévano, José-Rubén (2011) The method of separation of variables for the Frobenius-Perron operator associated to a class of two dimensional chaotic maps. Journal of Physics: Conference Series, 285. 12028pp. doi:10.1088/1742-6596/285/1/012028
Goto, Shin-itiro, Hino, Hideitsu (2020) Information and contact geometric description of expectation variables exactly derived from master equations. Physica Scripta, 95 (1). 15207pp. doi:10.1088/1402-4896/ab4295
Goto, Shin-itiro (2023) Affine geometric description of thermodynamics. Journal of Mathematical Physics, 64 (1) 13301 doi:10.1063/5.0124768
Goto, Shin‐itiro, Uchida, Ryoma, Igarashi, Kiyoshi, Chen, Chia‐Hung, Kao, Minghui, Umeno, Ken (2019) Preseismic Ionospheric Anomalies Detected Before the 2016 Taiwan Earthquake. Journal of Geophysical Research: Space Physics, 124 (11). 9239-9252 doi:10.1029/2019ja026640
Goto, Shin-itiro, Nozaki, Kazuhiro (2001) Regularized Renormalization Group Reduction of Symplectic Maps. Journal of the Physical Society of Japan, 70 (1). 49-54 doi:10.1143/jpsj.70.49
Goto, Shin-itiro (2016) Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics. Journal of Mathematical Physics, 57. 102702pp. doi:10.1063/1.4964751
Yang, Di (2025) Gaussian unitary ensemble via Frobenius manifolds. II. Loop equations. Journal of Mathematical Physics, 66 (3). doi:10.1063/5.0160125
 
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