Shu-Chiuan Chang

Professor

  • 741 Citations
  • 18 h-Index
20002019
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Research Output 2000 2019

  • 741 Citations
  • 18 h-Index
  • 59 Article
  • 1 Conference contribution
2019

Dimer coverings on the Tower of Hanoi graph

Li, W. B. & Chang, S-C., 2019 Mar 20, In : International Journal of Modern Physics B. 33, 7, 1950043.

Research output: Contribution to journalArticle

towers
apexes
coverings
dimers
digits

Study of Exponential Growth Constants of Directed Heteropolygonal Archimedean Lattices

Chang, S-C. & Shrock, R., 2019 Mar 30, In : Journal of Statistical Physics. 174, 6, p. 1288-1315 28 p.

Research output: Contribution to journalArticle

Exponential Growth
Acyclic Orientation
Upper and Lower Bounds
apexes
Increasing Functions
2018

Asymptotic behavior for a long-range Domany–Kinzel model

Chang, S-C. & Chen, L. C., 2018 Sep 15, In : Physica A: Statistical Mechanics and its Applications. 506, p. 112-127 16 p.

Research output: Contribution to journalArticle

Asymptotic Behavior
Aspect Ratio
aspect ratio
Range of data
integers
2017
1 Citation (Scopus)

Asymptotic behavior for a generalized Domany-Kinzel model

Chang, S-C., Chen, L. C. & Huang, C. H., 2017 Feb 27, In : Journal of Statistical Mechanics: Theory and Experiment. 2017, 2, 023212.

Research output: Contribution to journalArticle

Asymptotic Behavior
Square Lattice
Honeycomb
Critical value
Vertical
2015
2 Citations (Scopus)

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

Chang, S-C. & Chen, L. C., 2015 Jun 4, In : Physica A: Statistical Mechanics and its Applications. 436, p. 547-557 11 p.

Research output: Contribution to journalArticle

Directed Percolation
Honeycomb
Asymptotic Behavior
bricks
Aspect Ratio
2 Citations (Scopus)

Exact Partition Functions for the q-State Potts Model with a Generalized Magnetic Field on Lattice Strip Graphs

Chang, S-C. & Shrock, R., 2015 Sep 10, In : Journal of Statistical Physics. 161, 4, p. 915-932 18 p.

Research output: Contribution to journalArticle

Antiferromagnet
Frustration
Triangular Lattice
Permutation group
Potts Model
1 Citation (Scopus)
Potts Model
Ground State
Entropy
entropy
Lower bound
2014
3 Citations (Scopus)

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

Chang, S-C. & Chen, L. C., 2014 Jan 1, In : Journal of Statistical Physics. 155, 3, p. 500-522 23 p.

Research output: Contribution to journalArticle

Directed Percolation
Triangular Lattice
Asymptotic Behavior
Aspect Ratio
Alternate
2013
1 Citation (Scopus)

Asymptotic enumeration of independent sets on the Sierpinski gasket

Chang, S-C., Chen, L. C. & Yan, W., 2013 Jul 19, In : Filomat. 27, 1, p. 23-40 18 p.

Research output: Contribution to journalArticle

Asymptotic Enumeration
Sierpinski Gasket
Independent Set
Upper and Lower Bounds
Most or least significant digit
2 Citations (Scopus)

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

Chang, S-C., Chen, L. C. & Lee, H. Y., 2013 Apr 15, In : Physica A: Statistical Mechanics and its Applications. 392, 8, p. 1776-1787 12 p.

Research output: Contribution to journalArticle

Sierpinski Gasket
Vertex Model
ice
apexes
Entropy
8 Citations (Scopus)

Zeros of the Potts model partition function on Sierpinski graphs

Chang, S-C. & Shrock, R., 2013 Mar 15, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 377, 9, p. 671-675 5 p.

Research output: Contribution to journalArticle

partitions
asymptotic properties
loci
fractals
thermodynamic properties
2012
3 Citations (Scopus)

Acyclic orientations on the sierpinski gasket

Chang, S-C., 2012 Sep 30, In : International Journal of Modern Physics B. 26, 24, 1250128.

Research output: Contribution to journalArticle

Some Exact Results on Bond Percolation

Chang, S-C. & Shrock, R., 2012 Nov 1, In : Journal of Statistical Physics. 149, 4, p. 676-700 25 p.

Research output: Contribution to journalArticle

Exact Results
apexes
Percolation Threshold
Vacancy
Correlation Length
2011

Acyclic orientations on the generalized two-dimensional Sierpinski gasket

Chang, S-C., 2011 Nov 28, Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. p. 515-518 4 p. (AIP Conference Proceedings; vol. 1389).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Hamiltonian walks on the Sierpinski gasket

Chang, S-C. & Chen, L. C., 2011 Feb 3, In : Journal of Mathematical Physics. 52, 2, 023301.

Research output: Contribution to journalArticle

Sierpinski Gasket
Walk
apexes
Vertex of a graph
Asymptotic Behavior
2010
4 Citations (Scopus)

Structure of spanning trees on the two-dimensional Sierpinski gasket

Chang, S-C. & Chen, L. C., 2010 Dec 6, In : Discrete Mathematics and Theoretical Computer Science. 12, 3, p. 151-176 26 p.

Research output: Contribution to journalArticle

Sierpinski Gasket
Spanning tree
Probability distributions
Probability Distribution
Vertex of a graph
5 Citations (Scopus)

Weighted graph colorings

Chang, S-C. & Shrock, R., 2010 Feb 1, In : Journal of Statistical Physics. 138, 1, p. 496-542 47 p.

Research output: Contribution to journalArticle

Chromatic Polynomial
Graph Coloring
Weighted Graph
polynomials
apexes
2009
7 Citations (Scopus)

Number of connected spanning subgraphs on the Sierpinski gasket

Chang, S-C. & Chen, L. C., 2009, In : Discrete Mathematics and Theoretical Computer Science. 11, 1, p. 55-78 24 p.

Research output: Contribution to journalArticle

Sierpinski Gasket
Spanning Subgraph
Upper and Lower Bounds
8 Citations (Scopus)

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

Chang, S-C. & Shrock, R., 2009 Nov 20, In : Journal of Physics A: Mathematical and Theoretical. 42, 38, 385004.

Research output: Contribution to journalArticle

Potts model
Potts Model
Exact Results
Partition Function
partitions
2 Citations (Scopus)
Spanning tree
apexes
Entropy
entropy
Vertex of a graph
8 Citations (Scopus)

Structure of the partition function and transfer matrices for the potts model in a magnetic field on lattice strips

Chang, S-C. & Shrock, R., 2009 Nov 1, In : Journal of Statistical Physics. 137, 4, p. 667-699 33 p.

Research output: Contribution to journalArticle

Potts Model
Transfer Matrix
Partition Function
Strip
partitions
2008
18 Citations (Scopus)

Dimer coverings on the sierpinski gasket

Chang, S-C. & Chen, L. C., 2008 May 1, In : Journal of Statistical Physics. 131, 4, p. 631-650 20 p.

Research output: Contribution to journalArticle

Sierpinski Gasket
Dimer
coverings
Covering
dimers
18 Citations (Scopus)

Dimer-monomer model on the Sierpinski gasket

Chang, S-C. & Chen, L. C., 2008 Mar 1, In : Physica A: Statistical Mechanics and its Applications. 387, 7, p. 1551-1566 16 p.

Research output: Contribution to journalArticle

Sierpinski Gasket
Dimer
monomers
dimers
Upper and Lower Bounds
3 Citations (Scopus)

Exact potts model partition functions for strips of the honeycomb lattice

Chang, S-C. & Shrock, R., 2008 Mar 1, In : Journal of Statistical Physics. 130, 5, p. 1011-1024 14 p.

Research output: Contribution to journalArticle

Honeycomb
Potts Model
Partition Function
Strip
partitions
4 Citations (Scopus)

Photon-exposure-dependent photon-stimulated desorption for obtaining photolysis cross section of molecules adsorbed on surface by monochromatic soft x-ray photons

Chou, L. C., Jang, C. Y., Wu, Y. H., Tsai, W. C., Wang, S. K., Chen, J., Chang, S-C., Liu, C. C., Shai, Y. & Wen, C. R., 2008 Dec 12, In : Journal of Chemical Physics. 129, 21, 214104.

Research output: Contribution to journalArticle

Photolysis
photolysis
Desorption
Photons
desorption
9 Citations (Scopus)

Spanning forests on the Sierpinski gasket

Chang, S-C. & Chen, L. C., 2008, In : Discrete Mathematics and Theoretical Computer Science. 10, 2, p. 55-76 22 p.

Research output: Contribution to journalArticle

Spanning Forest
Sierpinski Gasket
Asymptotic Behavior
Upper bound
2007
2 Citations (Scopus)

Partition function zeros of a restricted Potts model on self-dual strips of the square lattice

Chang, S-C. & Shrock, R., 2007 Apr 20, In : International Journal of Modern Physics B. 21, 10, p. 1755-1773 19 p.

Research output: Contribution to journalArticle

loci
partitions
strip
6 Citations (Scopus)

Soft x-ray photoreactions of C F3 Cl adsorbed on Si (111) -7×7 studied by continuous-time photon-stimulated desorption spectroscopy near F (1s) edge

Wen, C. R., Jang, C. Y., Chou, L. C., Chen, J., Wu, Y. H., Chang, S-C., Tsai, W. C., Liu, C. C., Wang, S. K. & Shai, Y., 2007 Sep 28, In : Journal of Chemical Physics. 127, 11, 114704.

Research output: Contribution to journalArticle

Desorption
Photons
desorption
Spectroscopy
X rays
66 Citations (Scopus)

Spanning trees on the Sierpinski gasket

Chang, S-C., Chen, L. C. & Yang, W. S., 2007 Feb 1, In : Journal of Statistical Physics. 126, 3, p. 649-667 19 p.

Research output: Contribution to journalArticle

Sierpinski Gasket
Spanning tree
Arbitrary
3 Citations (Scopus)

Zeros of the Potts model partition function in the large-q limit

Chang, S-C. & Shrock, R., 2007 Mar 20, In : International Journal of Modern Physics B. 21, 7, p. 979-994 16 p.

Research output: Contribution to journalArticle

Potts model
Potts Model
Partition Function
partitions
Boundary conditions
2006
2 Citations (Scopus)

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

Chang, S-C. & Shrock, R., 2006 Aug 18, In : Journal of Physics A: Mathematical and General. 39, 33, p. 10277-10295 19 p., 002.

Research output: Contribution to journalArticle

Potts model
Potts Model
Partition Function
Strip
Locus
21 Citations (Scopus)

Some exact results for spanning trees on lattices

Chang, S-C. & Shrock, R., 2006 May 19, In : Journal of Physics A: Mathematical and General. 39, 20, p. 5653-5658 6 p.

Research output: Contribution to journalArticle

Exact Results
Spanning tree
Thermodynamics
body centered cubic lattices
face centered cubic lattices
16 Citations (Scopus)

Spanning trees on lattices and integral identities

Chang, S-C. & Wang, W., 2006 Aug 18, In : Journal of Physics A: Mathematical and General. 39, 33, p. 10263-10275 13 p., 001.

Research output: Contribution to journalArticle

Spanning tree
Thermodynamics
apexes
Thermodynamic Limit
Homeomorphic
10 Citations (Scopus)
Klein bottle
bottles
Honeycomb
Potts Model
Transfer Matrix
2005
4 Citations (Scopus)

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

Suzuki, M., Suzuki, H. & Chang, S-C., 2005 Mar 1, In : Journal of Mathematical Physics. 46, 3, 033301.

Research output: Contribution to journalArticle

Ising model
Ising Model
Correlation Function
Interaction
interactions
10 Citations (Scopus)
Potts Model
Transfer Matrix
Partition Function
Strip
partitions
5 Citations (Scopus)

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

Chang, S-C. & Shrock, R., 2005 Feb 15, In : Physica A: Statistical Mechanics and its Applications. 346, 3-4, p. 400-450 51 p.

Research output: Contribution to journalArticle

Antiferromagnet
Transfer Matrix
Strip
strip
Honeycomb
2004
27 Citations (Scopus)

Exact Potts model partition functions for strips of the triangular lattice

Chang, S-C., Jacobsen, J. L., Salas, J. & Shrock, R., 2004 Feb, In : Journal of Statistical Physics. 114, 3-4, p. 763-823 61 p.

Research output: Contribution to journalArticle

Triangular Lattice
Potts Model
Partition Function
Strip
partitions
3 Citations (Scopus)

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

Chang, S-C. & Suzuki, M., 2004 Oct 1, In : Physica A: Statistical Mechanics and its Applications. 341, 1-4, p. 299-332 34 p.

Research output: Contribution to journalArticle

Ising
Magnetic Field
Partial
series expansion
Series Expansion
1 Citation (Scopus)

Some exact formulae on long-range correlation functions of the rectangular Ising lattice

Chang, S-C. & Suzuki, M., 2004 Jan 20, In : International Journal of Modern Physics B. 18, 2, p. 275-287 13 p.

Research output: Contribution to journalArticle

series expansion
spin-spin coupling
free boundaries
boundary conditions
magnetization
15 Citations (Scopus)

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

Chang, S-C. & Shrock, R., 2004 Jan 1, In : Advances in Applied Mathematics. 32, 1-2, p. 44-87 44 p.

Research output: Contribution to journalArticle

Tutte Polynomial
Acyclic Orientation
Limiting
Polynomials
Linkage
2003
8 Citations (Scopus)

Flow Polynomials and their Asymptotic Limits for Lattice Strip Graphs

Chang, S-C. & Shrock, R., 2003 Aug 1, In : Journal of Statistical Physics. 112, 3-4, p. 815-879 65 p.

Research output: Contribution to journalArticle

Asymptotic Limit
Strip
strip
polynomials
Polynomial
14 Citations (Scopus)

Reliability Polynomials and Their Asymptotic Limits for Families of Graphs

Chang, S-C. & Shrock, R., 2003 Sep 1, In : Journal of Statistical Physics. 112, 5-6, p. 1019-1077 59 p.

Research output: Contribution to journalArticle

Asymptotic Limit
polynomials
apexes
Denote
Polynomial
2002
5 Citations (Scopus)

Exact chromatic polynomials for toroidal chains of complete graphs

Chang, S-C., 2002 Oct 15, In : Physica A: Statistical Mechanics and its Applications. 313, 3-4, p. 397-426 30 p.

Research output: Contribution to journalArticle

Chromatic Polynomial
Complete Graph
polynomials
eigenvalues
Maximal Points
37 Citations (Scopus)

Exact Potts model partition functions for strips of the square lattice

Chang, S-C., Salas, J. & Shrock, R., 2002 Dec 1, In : Journal of Statistical Physics. 107, 5-6, p. 1207-1253 47 p.

Research output: Contribution to journalArticle

Potts Model
Square Lattice
Partition Function
Strip
partitions
12 Citations (Scopus)

General structural results for Potts model partition functions on lattice strips

Chang, S-C. & Shrock, R., 2002 Dec 15, In : Physica A: Statistical Mechanics and its Applications. 316, 1-4, p. 335-379 45 p.

Research output: Contribution to journalArticle

Potts Model
Partition Function
Strip
partitions
strip
2001
9 Citations (Scopus)

Chromatic polynomials for lattice strips with cyclic boundary conditions

Chang, S-C., 2001 Jul 15, In : Physica A: Statistical Mechanics and its Applications. 296, 3-4, p. 495-522 28 p.

Research output: Contribution to journalArticle

Chromatic Polynomial
Strip
strip
polynomials
boundary conditions
Potts Model
Phase Diagram
phase diagrams
Graph in graph theory
temperature
22 Citations (Scopus)
Potts Model
Phase Diagram
phase diagrams
loci
Graph in graph theory
23 Citations (Scopus)

Exact partition function for the Potts model with next-nearest neighbor couplings on arbitrary-length ladders

Chang, S-C. & Shrock, R., 2001 Feb 20, In : International Journal of Modern Physics B. 15, 5, p. 443-478 36 p.

Research output: Contribution to journalArticle

ladders
partitions
spin-spin coupling
loci
strip