Journal of Physics A: Mathematical and General
Volume 38
Number 46
Create an alert
RSS this journal
Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 L769 doi:10.1088/0305-4470/38/46/L01
Perimeter generating functions for the mean-squared radius of gyration of convex polygons
FREE ARTICLEIwan Jensen
Show affiliations- [1]
-
Madras N and Slade G 1993 The Self-avoiding Walk (Boston: Birkhäuser)
- [2]
-
Hughes B D 1995 Random Walks and Random Environments, vol I: Random Walks (Oxford: Clarendon)
- [3]
-
Janse van Renburg E J 2000 The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles (Oxford: Oxford University Press)
- [4]
-
Bousquet-Mélou M 1996 A method for the enumeration of various classes of column-convex polygons Disc. Math. 154 1-25
CrossRef
- [5]
-
Nienhuis B 1982 Exact critical point and critical exponents of O(n) models in two dimensions Phys. Rev. Lett. 49 1062-5
CrossRef
- [6]
-
Guttmann A J and Enting I G 1988 The number of convex polygons on the square and honeycomb lattices J. Phys. A: Math. Gen. 21 L467-74
IOPscience
- [7]
-
Enting I G 1980 Generating functions for enumerating self-avoiding rings on the square lattice J. Phys. A: Math. Gen. 13 3713-22
IOPscience
- [8]
-
Jensen I and Guttmann A J 1999 Self-avoiding polygons on the square lattice J. Phys. A: Math. Gen. 32 4867-76
IOPscience
- [9]
-
Jensen I 2000 Size and area of square lattice polygons J. Phys. A: Math. Gen. 33 3533-43
IOPscience
- [10]
-
Delest M P and Viennot G 1984 Algebraic languages and polyominoes enumeration Theor. Comput. Sci. 34 169-206
CrossRef
- [11]
-
Lin K Y and Chang S J 1988 Rigorous results for the number of convex polygons on the square and honeycomb lattices J. Phys. A: Math. Gen. 21 2635-42
IOPscience
- [12]
-
Kim D 1988 The number of convex polyominoes with given perimeter Discrete Math. 70 47-51
CrossRef
- [13]
-
Guttmann A J 1989 Asymptotic analysis of power-series expansions Phase Transitions and Critical Phenomena vol 13 ed C Domb and J L Lebowitz (New York: Academic) pp 1-234
- [14]
-
Pólya G 1969 On the number of certain lattice polygons J. Comb. Theory 6 102-5
CrossRef
-
Perimeter generating functions for the mean-squared radius of gyration of convex polygons
Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 L769
-
Electrokinetic microchannel battery by means of electrokinetic and microfluidic phenomena
Jun Yang et al 2003 J. Micromech. Microeng. 13 963
-
On the Nature of the Central Source in η Carinae
D. John Hillier et al. 2001 ApJ 553 837
-
Ten More New Sightlines for the Study of Intergalactic Helium, and Hundreds of Far-Ultraviolet-Bright Quasars, from the Sloan Digital Sky Survey, Galaxy Evolution Explorer, and Hubble Space Telescope
David Syphers et al. 2009 ApJS 185 20
-
High Spatial Resolution Imaging of Arp 220 from 3 to 25 Microns
B. T. Soifer et al. 1999 ApJ 513 207
-
Stability of Reference Masses III: Mechanism and Long-term Effects of Mercury Contamination on Platinum-Iridium Mass Standards
P J Cumpson and M P Seah 1995 Metrologia 31 375
-
Optical properties of porcine skin dermis between 900 nm and 1500 nm
Y Du et al 2001 Phys. Med. Biol. 46 167
-
ASCA Observations of the Young Rotation-powered Pulsars PSR B1046–58 and PSR B1610–50
M. J. Pivovaroff et al. 2000 ApJ 528 436
-
Small-Scale Anisotropy of Cosmic Rays above 1019 eV Observed with the Akeno Giant Air Shower Array
M. Takeda et al. 1999 ApJ 522 225
-
Chandra X-Ray Observations of G11.2–0.3: Implications for Pulsar Ages
V. M. Kaspi et al. 2001 ApJ 560 371
Users also read
What's this?This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.
- Novel phase-space orbits and quantization
-
Reflectionless potentials and
symmetry
- Periodic multiwave solutions to the Toda-type cellular automaton
Related review articles
What's this? View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.
- The Erdős-Hajnal problem of hypergraph colouring, its generalizations, and related problems
- A random minimax
- Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions