The length of self-avoiding walks on the complete graph
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Youjin Deng | Timothy M Garoni | Jens Grimm | Abrahim Nasrawi | Zongzheng Zhou | Youjin Deng | T. Garoni | Jens Grimm | Abrahim Nasrawi | Zongzheng Zhou
[1] Michael E. Fisher,et al. Scaling, universality and renormalization group theory , 1983 .
[2] É. Brézin. An Investigation of Finite Size Scaling , 1982 .
[3] Youjin Deng,et al. Random-length Random Walks and Finite-size Scaling on high-dimensional hypercubic lattices I: Periodic Boundary Conditions , 2020, 2008.00913.
[4] K. Binder,et al. A finite size scaling study of the five-dimensional Ising model , 1994 .
[5] Hyperscaling above the upper critical dimension , 2012, 1402.1657.
[6] F. G. Tricomi,et al. Asymptotische Eigenschaften der unvollständigen Gammafunktion , 1950 .
[7] P. H. Lundow,et al. Non-vanishing boundary effects and quasi-first-order phase transitions in high dimensional Ising models , 2010, 1010.5958.
[8] A. Young,et al. Finite-size scaling above the upper critical dimension. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[9] K. Binder. Critical properties and finite-size effects of the five-dimensional Ising model , 1985 .
[10] Nico M. Temme,et al. Asymptotic Methods For Integrals , 2014 .
[11] Finite size scaling of the 5D Ising model with free boundary conditions , 2014, 1408.5509.
[12] N. Temme. The asymptotic expansion of the incomplete gamma functions : (preprint) , 1977 .
[13] N. Temme. Special Functions: An Introduction to the Classical Functions of Mathematical Physics , 1996 .
[14] Youjin Deng,et al. Random-Length Random Walks and Finite-Size Scaling in High Dimensions. , 2018, Physical review letters.
[15] Yvan Alain Velenik,et al. Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction , 2017 .
[16] Takashi Hara,et al. Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals. , 2005, math-ph/0504021.
[17] A. Sakai. Lace Expansion for the Ising Model , 2005, math-ph/0510093.
[18] Béla Bollobás,et al. Random Graphs , 1985 .
[19] Gordon Slade,et al. Self-avoiding walk in five or more dimensions I. The critical behaviour , 1992 .
[20] Svante Janson,et al. Random graphs , 2000, Wiley-Interscience series in discrete mathematics and optimization.
[21] N. Madras,et al. THE SELF-AVOIDING WALK , 2006 .
[22] R. Kenna,et al. Role of Fourier Modes in Finite-Size Scaling above the Upper Critical Dimension. , 2015, Physical review letters.
[23] Young,et al. Finite-size tests of hyperscaling. , 1985, Physical review. B, Condensed matter.
[24] K. Binder,et al. Finite-Size Tests of Hyperscaling , 1985 .
[25] Self-avoiding walks on finite graphs of large girth , 2014, 1402.6553.
[26] The scaling window of the 5D Ising model with free boundary conditions , 2016, 1601.04053.
[27] V. Papathanakos. Finite-Size E ects in High-Dimensional Statistical Mechanical Systems: The Ising Model With Periodic Boundary Conditions , 2006 .
[28] Youjin Deng,et al. Geometric Explanation of Anomalous Finite-Size Scaling in High Dimensions. , 2016, Physical review letters.
[29] G. Slade. Self-avoiding walk on the complete graph , 2019, 1904.11149.
[30] R. Kenna,et al. Fisher's scaling relation above the upper critical dimension , 2014, 1412.6926.