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1

Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2020

Language:

english

File:

PDF, 627 KB

english, 2020

2

Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2020

File:

PDF, 627 KB

2020

3

Improved lower bounds on the ground-state entropy of the antiferromagnetic Potts model

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physical Review E

Year:

2015

Language:

english

File:

PDF, 359 KB

english, 2015

4

Spanning trees on lattices and integral identities

Chang, Shu-Chiuan, Wang, Wenya

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 192 KB

english, 2006

5

Zeros of the Potts model partition function on Sierpinski graphs

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physics Letters A

Year:

2013

Language:

english

File:

PDF, 237 KB

english, 2013

6

Partition function zeros of a restricted Potts model on lattice strips and effects of boundary conditions

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2006

Language:

english

File:

PDF, 291 KB

english, 2006

7

Study of Exponential Growth Constants of Directed Heteropolygonal Archimedean Lattices

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Journal of Statistical Physics

Year:

2019

Language:

english

File:

PDF, 461 KB

english, 2019

8

Ground-state entropy of the Potts antiferromagnet with next-nearest-neighbor spin-spin couplings on strips of the square lattice

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physical Review E

Year:

2000

Language:

english

File:

PDF, 203 KB

english, 2000

9

Exact chromatic polynomials for toroidal chains of complete graphs

Shu-Chiuan Chang

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2002

Language:

english

File:

PDF, 569 KB

english, 2002

10

Weighted Graph Colorings

Shu-Chiuan Chang, Robert Shrock

Journal:

Journal of Statistical Physics

Year:

2010

Language:

english

File:

PDF, 1.13 MB

english, 2010

11

The ice model and the eight-vertex model on the two-dimensional Sierpinski gasket

Chang, Shu-Chiuan, Chen, Lung-Chi, Lee, Hsin-Yun

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2013

Language:

english

File:

PDF, 564 KB

english, 2013

12

Structural properties of Potts model partition functions and chromatic polynomials for lattice strips

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2001

Language:

english

File:

PDF, 336 KB

english, 2001

13

EXACT PARTITION FUNCTION FOR THE POTTS MODEL WITH NEXT-NEAREST NEIGHBOR COUPLINGS ON ARBITRARY-LENGTH LADDERS

CHANG, SHU-CHIUAN, SHROCK, ROBERT

Journal:

International Journal of Modern Physics B

Year:

2001

Language:

english

File:

PDF, 1.25 MB

english, 2001

14

PARTITION FUNCTION ZEROS OF A RESTRICTED POTTS MODEL ON SELF-DUAL STRIPS OF THE SQUARE LATTICE

CHANG, SHU-CHIUAN, SHROCK, ROBERT

Journal:

International Journal of Modern Physics B

Year:

2007

Language:

english

File:

PDF, 294 KB

english, 2007

15

Asymptotic behavior for a version of directed percolation on the honeycomb lattice

Chang, Shu-Chiuan, Chen, Lung-Chi

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2015

Language:

english

File:

PDF, 536 KB

english, 2015

16

Transfer matrices for the partition function of the Potts model on lattice strips with toroidal and Klein-bottle boundary conditions

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2006

Language:

english

File:

PDF, 454 KB

english, 2006

17

Hamiltonian walks on the Sierpinski gasket

Chang, Shu-Chiuan, Chen, Lung-Chi

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 1.38 MB

english, 2011

18

SOME EXACT FORMULAE ON LONG-RANGE CORRELATION FUNCTIONS OF THE RECTANGULAR ISING LATTICE

CHANG, SHU-CHIUAN, SUZUKI, MASUO

Journal:

International Journal of Modern Physics B

Year:

2004

Language:

english

File:

PDF, 175 KB

english, 2004

19

Dimer coverings on the Tower of Hanoi graph

Li, Wei-Bang, Chang, Shu-Chiuan

Journal:

International Journal of Modern Physics B

Year:

2019

Language:

english

File:

PDF, 432 KB

english, 2019

20

Tutte polynomials and related asymptotic limiting functions for recursive families of graphs

Shu-Chiuan Chang, Robert Shrock

Journal:

Advances in Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 415 KB

english, 2004

21

Dimer-monomer model on the Sierpinski gasket

Shu-Chiuan Chang, Lung-Chi Chen

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2008

Language:

english

File:

PDF, 894 KB

english, 2008

22

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics - Halkidiki, (Greece) (19–25 September 2011)] - Acyclic Orientations on the Generalized Two-Dimensional Sierpinski Gasket

Chang, Shu-Chiuan, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch., Anastassi, Zacharias

Year:

2011

Language:

english

File:

PDF, 202 KB

english, 2011

23

Chromatic polynomials for lattice strips with cyclic boundary conditions

Shu-Chiuan Chang

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2001

Language:

english

File:

PDF, 301 KB

english, 2001

24

q -plane zeros of the Potts partition function on diamond hierarchical graphs

Chang, Shu-Chiuan, Roeder, Roland K. W., Shrock, Robert

Journal:

Journal of Mathematical Physics

Year:

2020

File:

PDF, 7.28 MB

2020

25

Ground State Entropy of the Potts Antiferromagnet on Triangular Lattice Strips

Shu-Chiuan Chang, Robert Shrock

Journal:

Annals of Physics

Year:

2001

Language:

english

File:

PDF, 227 KB

english, 2001

26

Ground state entropy of the Potts antiferromagnet on strips of the square lattice

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2001

Language:

english

File:

PDF, 235 KB

english, 2001

27

Potts model partition functions for self-dual families of strip graphs

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2001

Language:

english

File:

PDF, 214 KB

english, 2001

28

Exact Potts Model Partition Functions for Strips of the Honeycomb Lattice

Shu-Chiuan Chang, Robert Shrock

Journal:

Journal of Statistical Physics

Year:

2008

Language:

english

File:

PDF, 1008 KB

english, 2008

29

Study of dimerâmonomer on the generalized Hanoi graph

Li, Wei-Bang, Chang, Shu-Chiuan

Journal:

Computational & Applied Mathematics

Year:

2020

File:

PDF, 645 KB

2020

30

Structure of the Partition Function and Transfer Matrices for the Potts Model in a Magnetic Field on

Shu-Chiuan Chang, Robert Shrock

Journal:

Journal of Statistical Physics

Year:

2009

Language:

english

File:

PDF, 717 KB

english, 2009

31

Exact Potts Model Partition Functions for Strips of the Square Lattice

Shu-Chiuan Chang, Jesús Salas, Robert Shrock

Journal:

Journal of Statistical Physics

Year:

2002

Language:

english

File:

PDF, 968 KB

english, 2002

32

ACYCLIC ORIENTATIONS ON THE SIERPINSKI GASKET

CHANG, SHU-CHIUAN

Journal:

International Journal of Modern Physics B

Year:

2012

Language:

english

File:

PDF, 225 KB

english, 2012

33

Transfer matrices for the zero-temperature Potts antiferromagnet on cyclic and Möbius lattice strips

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2005

Language:

english

File:

PDF, 626 KB

english, 2005

34

Exact Potts model partition function on strips of the triangular lattice

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2000

Language:

english

File:

PDF, 542 KB

english, 2000

35

General structural results for Potts model partition functions on lattice strips

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2002

Language:

english

File:

PDF, 650 KB

english, 2002

36

Exact Potts Model Partition Functions for Strips of the Triangular Lattice

Shu-Chiuan Chang, Jesper Lykke Jacobsen, Jesús Salas, Robert Shrock

Journal:

Journal of Statistical Physics

Year:

2004

Language:

english

File:

PDF, 1.92 MB

english, 2004

37

Asymptotic Behavior for a Version of Directed Percolation on the Triangular Lattice

Chang, Shu-Chiuan, Chen, Lung-Chi

Journal:

Journal of Statistical Physics

Year:

2014

Language:

english

File:

PDF, 523 KB

english, 2014

38

limit

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physical Review E

Year:

2001

Language:

english

File:

PDF, 262 KB

english, 2001

39

Exact results for average cluster numbers in bond percolation on lattice strips

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Physical Review E

Year:

2004

Language:

english

File:

PDF, 158 KB

english, 2004

40

Spanning Trees on the Sierpinski Gasket

Shu-Chiuan Chang, Lung-Chi Chen, Wei-Shih Yang

Journal:

Journal of Statistical Physics

Year:

2007

Language:

english

File:

PDF, 359 KB

english, 2007

41

Dimer Coverings on the Sierpinski Gasket

Shu-Chiuan Chang, Lung-Chi Chen

Journal:

Journal of Statistical Physics

Year:

2008

Language:

english

File:

PDF, 711 KB

english, 2008

42

Some Exact Results on Bond Percolation

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Journal of Statistical Physics

Year:

2012

Language:

english

File:

PDF, 801 KB

english, 2012

43

Study on boundary–boundary correlation functions of the two-dimensional Ising model using topological interaction method

Suzuki, Masuo, Suzuki, Hidenori, Chang, Shu-Chiuan

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 399 KB

english, 2005

44

Transfer matrices for the partition function of the Potts model on cyclic and Möbius lattice strips

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2005

Language:

english

File:

PDF, 439 KB

english, 2005

45

Magnetic responses in the presence of a partial magnetic field on the rectangular Ising lattice

Shu-Chiuan Chang, Masuo Suzuki

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2004

Language:

english

File:

PDF, 407 KB

english, 2004

46

Asymptotic behavior for a generalized Domany–Kinzel model

Chang, Shu-Chiuan, Chen, Lung-Chi, Huang, Chien-Hao

Journal:

Journal of Statistical Mechanics Theory and Experiment

Year:

2017

Language:

english

File:

PDF, 1.37 MB

english, 2017

47

Asymptotic behavior for a long-range Domany–Kinzel model

Chang, Shu-Chiuan, Chen, Lung-Chi

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2018

Language:

english

File:

PDF, 421 KB

english, 2018

48

ZEROS OF THE POTTS MODEL PARTITION FUNCTION IN THE LARGE-q LIMIT

CHANG, SHU-CHIUAN, SHROCK, ROBERT

Journal:

International Journal of Modern Physics B

Year:

2007

Language:

english

File:

PDF, 342 KB

english, 2007

49

Some exact results on the Potts model partition function in a magnetic field

Chang, Shu-Chiuan, Shrock, Robert

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2009

Language:

english

File:

PDF, 103 KB

english, 2009

50

Exact Potts model partition functions on wider arbitrary-length strips of the square lattice

Shu-Chiuan Chang, Robert Shrock

Journal:

Physica A: Statistical Mechanics and its Applications

Year:

2001

Language:

english

File:

PDF, 402 KB

english, 2001

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