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Introduction:
理學院於民國八十三年自原文理學院改制成立，設有應用數學系、心理學系、資訊科學系、神經科學研究所及應用物理研究所等五個系所，和校級「心智、大腦與學習研究中心」、「財務工程碩士學程」(八十八年應數系與金融系共同設立)、「數位內容碩士學位學程」(九十八年與傳播學院共同設立)、「專利學分學程」(九十九年與法學院共同設立)、「輔導與諮商碩士學位學程」(一百年與教育學院共同設立)、「數位內容與科技學士學位學程」(一百年再與傳播學院共同設立)、「數理財務學分學程」(一百年與商學院共同設立)，「語言、認知與大腦學分學程」(一○一年與外語學院設立)、「社群網路與人智計算國際研究生博士學位學程」(一○三年資訊科學系與中央研究院及國立清華大學共同成立)、「巨量資料分析學程」(一○三年資科系、應數系、統計系和資管系共同設立)、「電子物理學分學程」(一○三年應數系與應物所共同設立)、「大腦科學學分學程」(一○八年心理系、資科系與神科所共同設立)。110學年度起因應資訊學院成立，本院資科系、數位內容碩士學位學程及社群網路與人智計算國際研究生博士學位學程等，改隸資訊學院。
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Items for Author "班榮超"
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[應用數學系] 專書/專書篇章 2019-02
Measures of the full Hausdorff dimension for sofic affine-invariant sets on T^2 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Chen, Ting-Ju
[應用數學系] 專書/專書篇章 2014-11
Tracking Mean Field Dynamics by Synchronous Computations of Recurrent Multilayer Perceptrons 班榮超 ; Ban, Jung-Chao ; Wu, Jiann-Ming ; Wu, Chun-Chang
[應用數學系] 專書/專書篇章 2013-01
On the Structure of Two-Layer Cellular Neural Networks 班榮超 ; Ban, Jung-Chao ; Lin, Song-Sun
[應用數學系] 會議論文 2011-04
Complexity of two dimensional multi-layer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Hu, Wen-Guei ; Lin, Song-Sun
[應用數學系] 期刊論文 2024-05
Hausdorff dimension of multidimensional multiplicative subshifts 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lai, Guan-Yu
[應用數學系] 期刊論文 2024-04
On mixing properties of Markov tree-shifts 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Huang, Nai-Zhu ; Lai, Guan-Yu
[應用數學系] 期刊論文 2024-03
Large deviation principle of multiplicative Ising models on Markov-Cayley trees 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Zhang, Zongfan
[應用數學系] 期刊論文 2024-02
Topological entropy and sequence entropy for hom tree-shifts on unexpandable trees 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Hu, Wen-Guei ; Lai, Guan-Yu ; Wu, Yu-Liang
[應用數學系] 期刊論文 2023-12
On the escape rate of subshifts of finite type and 2-multiplicative integer systems on N^d 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lai, Guan-Yu
[應用數學系] 期刊論文 2023-08
An analogue of topological sequence entropy for Markov hom tree-shifts 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Hu, Wen-Guei ; Lai, Guan-Yu ; Wu, Yu-Liang
[應用數學系] 期刊論文 2023-06
Boundary complexity and surface entropy of 2-multiplicative integer systems on N^d 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lai, Guan-Yu
[應用數學系] 期刊論文 2023-06
Topological and random spread models with frozen symbols 班榮超 ; 洪芷漪 ; Ban, Jung-Chao ; Hong, Jyy-I ; Tsai, Cheng-Yu ; Wu, Yu-Liang
[應用數學系] 期刊論文 2023-05
Decidability of CPC-irreducibility of subshifts of finite type over free groups 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Wu, Yu-Liang
[應用數學系] 期刊論文 2023-04
The entropy of multiplicative subshifts on trees 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Zhang, Zongfan
[應用數學系] 期刊論文 2023-02
Mathematical analysis of topological and random m-order spread models 洪芷漪 ; 班榮超 ; Hong, Jyy-I ; Ban, Jung-Chao ; Wu, Yu-Liang
[應用數學系] 期刊論文 2023-01
Commutativity of entropy for nonautonomous systems on trees 班榮超 ; Ban, Jung-Chao ; Huang, Nai-Zhu
[應用數學系] 期刊論文 2023-01
Large deviation principle of nonconventional ergodic averages 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lai, Guan-Yu
[應用數學系] 期刊論文 2022-10
Spread rates of spread models with frozen symbols 洪芷漪 ; 班榮超 ; Hong, Jyy-I ; Ban, Jung-Chao ; Wu, Yu-Liang
[應用數學系] 期刊論文 2022-09
Topological entropy for shifts of finite type over Z and trees 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Hu, Wen-Guei ; Wu, Yu-Liang
[應用數學系] 期刊論文 2021-12
Stem and topological entropy on Cayley trees 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Wu, Yu-Liang ; Wu, Yu-Ying
[應用數學系] 期刊論文 2021-10
Characterization and Topological Behavior of Homomorphism Tree-Shifts 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Hu, Wen-Guei ; Lai, Guan-Yu
[應用數學系] 期刊論文 2021-09
Mathematical analysis of spread models: From the viewpoints of deterministic and random cases 班榮超 ; 洪芷漪 ; Ban, Jung-Chao ; Hong, Jyy-I ; Chang, Chih-Hung ; Wu, Yu-Liang
[應用數學系] 期刊論文 2021-09
Large deviation principle of multidimensional multiple averages on Nd 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lai, Guan-Yu
[應用數學系] 期刊論文 2021-08
On structure of topological entropy for tree-shifts of finite type 班榮超 ; Ban, Jung-Chao ; Chih-HungChang ; Wen-GueiHu ; Yu-LiangWu
[應用數學系] 期刊論文 2021-06
On the topological entropy of subshifts of finite type on free semigroups 班榮超 ; Ban, Jung-Chao ; Chan, Chih-Hung
[應用數學系] 期刊論文 2021-06
Verification of mixing properties in two-dimensional shifts of finite type 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lin, Song-Sun ; Lin, Yin-Heng
[應用數學系] 期刊論文 2021-02
On the entropy of multidimensional multiplicative integer subshifts 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lai , Guan-Yu
[應用數學系] 期刊論文 2020-07
Characterization for entropy of shifts of finite type on Cayley trees 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2020-07
Entropy Dimension of Shift Spaces on Monoids 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Huang, Nai-Zhu
[應用數學系] 期刊論文 2020-06
Characterization for entropy of shifts of finite type on Cayley trees 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2020-06
Entropy Dimension of Shift Spaces on Monoids 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Huang, Nai-Zhu
[應用數學系] 期刊論文 2020-06
Entropy Dimension of Shifts of Finite Type on Free Groups 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2020-04
Complexity of Shift Spaces on Semigroups 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Huang, Yu-Hsiung
[應用數學系] 期刊論文 2019-11
Topologically Mixing Properties of Multiplicative Integer System 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Hu, Wen-Guei ; Lai, Guan-Yu ; Wu, Yu-Liang
[應用數學系] 期刊論文 2019-10
Decidability of Irreducible tree shifts of finite type 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Huang, Nai-Zhu ; Wu, Yu-Liang
[應用數學系] 期刊論文 2019-06
Entropy bifurcation of neural networks on Cayley trees 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Huang, Nai-Zhu
[應用數學系] 期刊論文 2019-05
Complexity of neural networks on Fibonacci-Cayley tree 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2019-05
Pattern generation problems arising in multiplicative integer systems 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lin, Song-Sun
[應用數學系] 期刊論文 2018-05
Measure of the full Hausdorff dimension for sofic affine-invariant sets on T^2 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Chen, Ting-Ju
[應用數學系] 期刊論文 2017-11
Mixing properties of tree-shifts 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2017-06
Tree-shifts: The entropy of tree-shifts of finite type 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2017-06
簡單通往複雜之路 班榮超 ; Ban, Jung-Chao
[應用數學系] 期刊論文 2017-05
Tree-shifts: Irreducibility, mixing, and the chaos of tree-shifts 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2016-07
When are two multi-layer cellular neural networks the same? 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2016-06
淺談動力系統中的禍福相倚 班榮超 ; Ban, Jung-Chao
[應用數學系] 期刊論文 2016-03
Solution Structure of Multi-layer Neural Networks with Initial Condition 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2016-02
The spatial complexity of inhomogeneous multi-layer neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2015-08
Neural network equations and symbolic dynamics 班榮超 ; Ban, Jung-Chao
[應用數學系] 期刊論文 2015-07
On the structure of multi-layer cellular neural networks: complexity between two layers 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2015-01
Realization problem of multi-layer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2014-12
The multifractal spectra for the recurrence rates of beta-transformations 班榮超 ; Ban, Jung-Chao ; Li, Bing
[應用數學系] 期刊論文 2014-05
Dimension spectrum for sofic systems 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Lin, Mei-Shao ; Chen, Ting-Ju
[應用數學系] 期刊論文 2013-12
Inhomogeneous lattice dynamical systems and the boundary effect 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2013-11
Hausdorff Dimension of Multi-Layer Neural Networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2013-07
The layer effect on multi-layer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2013-01
Diamond in multi-layer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2013-01
On the Quantitative Behavior of the Linear Cellular Automata. 班榮超 ; Ban, Jung-Chao ; Akin, Hassan ; Chang, Chih-Hung
[應用數學系] 期刊論文 2013-01
The learning problem of multi-layer neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2013-01
Zeta functions for two-dimensional shifts of finite type 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lin, Song-Sun ; Lin, Yin-Heng
[應用數學系] 期刊論文 2012-04
On the structure of multi-layer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Lin, Song-Sun
[應用數學系] 期刊論文 2011-05
Factor map, diamond and density of pressure functions 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2011-01
The Complexity of Permutive Cellular Automata 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Chen, Ting-Ju ; Lin, Mei-Shao
[應用數學系] 期刊論文 2010-03
Zeta function for two-dimensional subshift of finite type 班榮超 ; Ban, Jung-Chao ; Hu, Wen-Guei ; Lin, Song-Sun ; Lin, Yin-Heng
[應用數學系] 期刊論文 2010-01
The dimensions of a non-conformal repeller and an average conformal repeller 班榮超 ; Ban, Jung-Chao ; Cao, Yong-Luo ; Hu, Hu-Yi
[應用數學系] 期刊論文 2009-11
On the monotonicity of entropy for multilayer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2009-09
Mixing property and entropy conjugacy of Z2 subshift of finite type: a case study 班榮超 ; Ban, Jung-Chao ; Lin, Szu-Yu ; Lin, Yin-Heng
[應用數學系] 期刊論文 2009-09
The Hausdorff dimension of average conformal repellers under random perturbation 班榮超 ; Ban, Jung-Chao ; Cao, Yong-Luo ; Zhao, Yun
[應用數學系] 期刊論文 2009-06
Pullback and forward attractors for dissipative lattice dynamical systems with additive noises 班榮超 ; Ban, Jung-Chao ; Hsu, Cheng-Hsiung ; Lin, Yin-Heng ; Yang, Tzi-Sheng
[應用數學系] 期刊論文 2009-05
The topological pressure of linear cellular automata 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2009-01
Spatial complexity in multi-layer cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung ; Lin, Song-Sun ; Lin, Yin-Heng
[應用數學系] 期刊論文 2008-11
On the dense entropy of two-dimensional inhomogeneous cellular neural networks 班榮超 ; Ban, Jung-Chao ; Chang, Chih-Hung
[應用數學系] 期刊論文 2007-09
Patterns generation and spatial entropy in two-dimensional lattice models 班榮超 ; Ban, Jung-Chao ; Lin, Song-Sun ; Lin, Yin-Heng
[應用數學系] 期刊論文 2005-08
Patterns generation and transition matrices in multi-dimensional lattice models 班榮超 ; Ban, Jung-Chao ; Lin, Song-Sun
[應用數學系] 期刊論文 2004-07
The devil’s staircase dimensions and measure-theoretical entropy of maps with horizontal gap 班榮超 ; Ban, Jung-Chao ; Lin, Song-Sun
[應用數學系] 期刊論文 2003-01
Devil`s staircase of gap maps 班榮超 ; Ban, Jung-Chao ; Hsu, Cheng-Hsiung ; Lin, Song-Sun
[應用數學系] 期刊論文 2002-03
Spatial disorder of cellular neural networks—with biased term 班榮超 ; Ban, Jung-Chao ; Lin, Song-Sun ; Hsu, Cheng-Hsiung
[應用數學系] 期刊論文 2001-08
Spatial disorder of CNN—with asymmetric output function 班榮超 ; Ban, Jung-Chao ; Chien, Kai-Ping ; Lin, Song-Sun ; Hsu, Cheng-Hsiung
[應用數學系] 期刊論文 2001-06
Exact number of mosaic patterns in cellular neural networks 班榮超 ; Ban, Jung-Chao ; Lin, Song-Sun ; Shih, Chih-Wen
