Random graph embeddings with general edge potentials. arXiv:2205.09049
Preprint, arXiv:2205.09049 [cond-mat.stat-mech] (2022).
Found 58 Documents (Results 1–58)
Topological sum rules in the knotting probabilities of DNA. (English) Zbl 1444.57002
Flapan, Erica (ed.) et al., Topology and geometry of biopolymers. AMS special session on topology of biopolymers, Northeastern University, Boston, MA, USA, April 21–22, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 746, 57-83 (2020).
Reviewer: Jonathan Hodgson (Swarthmore)
Radius of Gyration, Contraction Factors, and Subdivisions of Topological Polymers. arXiv:2004.06199
Preprint, arXiv:2004.06199 [cond-mat.stat-mech] (2020).
Gaussian Random Embeddings of Multigraphs. arXiv:2001.11709
Preprint, arXiv:2001.11709 [cond-mat.stat-mech] (2020).
Exact regimes of collapsed and extra two-string solutions in the two down-spin sector of the spin-\(1/2\) massive XXZ spin chain. (English) Zbl 1422.82007
Exact quantum numbers of collapsed and non-collapsed two-string solutions in the spin-1/2 Heisenberg spin chain. (English) Zbl 1342.82024
Non self-conjugate strings, singular strings and rigged configurations in the Heisenberg model. (English) Zbl 1456.82350
MSC:
82B26
Exponents of intrachain correlation for self-avoiding walks and knotted self-avoiding polygons. (English) Zbl 1276.82069
Reduction formula of form factors for the integrable spin-s XXZ chains and application to correlation functions. (English) Zbl 1456.82242
Erratum to: Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. (English) Zbl 1321.82010
Quantum group \(U_{q}(sl(2))\) symmetry and explicit evaluation of the one-point functions of the integrable spin-1 XXZ chain. (English) Zbl 1242.82014
MSC:
82B23
Algebraic aspects of the correlation functions of the integrable higher-spin XXZ spin chains with arbitrary entries. (English) Zbl 1221.82024
Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 11-33 (2011).
Correlation functions of the integrable higher-spin XXX and XXZ spin chains through the fusion method. (English) Zbl 1204.82008
Form factors of integrable higher-spin XXZ chains and the affine quantum-group symmetry. (English) Zbl 1194.82016
Nucl. Phys., B 814, No. 3, 405-438 (2009); erratum ibid. 851, No. 1, 238-243 (2011).
Linking probabilities of off-lattice self-avoiding polygons and the effects of excluded volume. (English) Zbl 1157.82053
MSC:
82D60
An algebraic derivation of the eigenspaces associated with an Ising-like spectrum of the superintegrable chiral Potts model. (English) Zbl 1161.82006
Diffusion of a ring polymer in good solution via the Brownian dynamics with no bond crossing. (English) Zbl 1151.82443
MSC:
82D60
Irreducibility criterion for a finite-dimensional highest weight representation of the \(sl_2\) loop algebra and the dimensions of reducible representations. (English) Zbl 1456.82241
Scattering functions and correlation functions of random knots. (English) Zbl 1216.82062
Kawauchi, Akio (ed.), Knot theory for scientific objects. Proceedings of the international workshop on knot theory for scientific objects, Osaka, Japan, March 8–10, 2006. Osaka: Osaka Municipal Universities Press (ISBN 978-4-901409-29-2/hbk). OCAMI Studies 1, 165-177 (2007).
MSC:
82D60
57M25
Regular \(XXZ\) Bethe states at roots of unity as highest weight vectors of the \(\mathrm{sl}_{2}\) loop algebra. (English) Zbl 1115.82006
The six-vertex model at roots of unity and some highest weight representations of the \(\text{sl}_2\) loop algebra. (English) Zbl 1144.17007
On the degenerate multiplicity of the \(sl_2\) loop algebra for the 6V transfer matrix at roots of unity. (English) Zbl 1098.81049
Reviewer: Volodymyr Mazorchuk (Uppsala)
On the mean gyration radius and the radial distribution function of ring polymers with excluded volume under a topological constraint. (English) Zbl 1092.82055
Calvo, Jorge A. (ed.) et al., Physical and numerical models in knot theory. Including applications to the life sciences. Hackensack, NJ: World Scientific (ISBN 981-256-187-0/hbk). Series on Knots and Everything 36, 399-419 (2005).
Topological entropic force between a pair of random knots forming a fixed link. (English) Zbl 1105.82009
Calvo, Jorge A. (ed.) et al., Physical and numerical models in knot theory. Including applications to the life sciences. Hackensack, NJ: World Scientific (ISBN 981-256-187-0/hbk). Series on Knots and Everything 36, 343-362 (2005).
Completeness of Bethe ansatz for 1D Hubbard model with ab-flux through combinatorial formulas and exact enumeration of eigenstates. (English) Zbl 1149.82310
The \(sl_ 2\) loop algebra symmetry of the twisted transfer matrix of the six-vertex model at roots of unity. (English) Zbl 1088.81057
Branches in the spectral flow of the inhomogeneous transfer matrix for the \(XXZ\) spin chain. (English) Zbl 1140.82302
MSC:
82B20
The 8V CSOS model and the \(\text{sl}_2\) loop algebra symmetry of the six-vertex model at roots of unity. (English) Zbl 1073.82535
Anomalous finite-size effects for the mean-squared gyration radius of Gaussian random knots. (English) Zbl 1053.82507
MSC:
82B41
Topological effects on the average size of random knots. (English) Zbl 1010.82042
Calvo, Jorge Alberto (ed.) et al., Physical knots: knotting, linking, and folding geometric objects in \(\mathbb R^3\). Proceedings of the AMS special session on physical knotting and unknotting, Las Vegas, NV, USA, April 21-22, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 304, 93-114 (2002).
Construction of some missing eigenvectors of the \(XYZ\) spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix. (English) Zbl 0993.82018
Spin chains from super-models. (English) Zbl 1091.82500
MSC:
82B20
Non-regular eigenstate of the \(XXX\) model as some limit of the Bethe state. (English) Zbl 0993.82012
The \(sl_2\) loop algebra symmetry of the six-vertex model at roots of unity. (English) Zbl 0990.82008
A gapless charge mode induced by the boundary states in the half-filled Hubbard open chain. (English) Zbl 0953.82011
MSC:
82B20
Numerical application of knot invariants and universality of random knotting. (English) Zbl 0901.57013
Jones, Vaughan F. R. (ed.) et al., Knot theory. Proceedings of the mini-semester, Warsaw, Poland, July 13–August 17, 1995. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 42, 77-85 (1998).
MSC:
57M25
82B41
Analytic Bethe ansatz for 1D Hubbard model and twisted coupled \(XY\) model. (English) Zbl 0992.82009
Magnetic susceptibility and low-temperature specific heat of the integrable one-dimensional Hubbard model under open-boundary conditions. (English) Zbl 0932.82012
MSC:
82B20
Random knots and links and applications to polymer physics. (English) Zbl 0913.57010
Suzuki, S. (ed.), Lectures at Knots ’96. Proceedings of the international conference on knot theory, Tokyo, Japan, July 22–31, 1996. Singapore: World Scientific. Ser. Knots Everything. 15, 95-122 (1997).
MSC:
57M25
82D60
Solvable models, link invariants and their applications to physics. (English) Zbl 0845.57005
Yang, Chen Ning (ed.) et al., Braid group, knot theory and statistical mechanics II. London: World Scientific. Adv. Ser. Math. Phys. 17, 20-69 (1994).
MSC:
57M25
82B23
Colored vertex models, colored IRF models and invariants of trivalent colored graphs. (English) Zbl 0972.82522
Yang-Baxter relation, exactly solvable models and link polynomials. (English) Zbl 0745.57004
Quantum groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad/USSR 1990, Lect. Notes Math. 1510, 373-388 (1992).
Colored braid matrices from infinite-dimensional representations of \(U_q(g)\). (English) Zbl 1021.81567
IRF models associated with representations of the Lie superalgebras \(\text{gl}(m|n)\) and \(\text{sl}(m|n)\). (English) Zbl 1020.82547
Link polynomials and exactly solvable models. (English) Zbl 0728.57007
Nonlinear physics, Proc. Int. Conf., Shanghai/China 1989, 111-135 (1990).
Link polynomials and solvable models. (English) Zbl 0727.57004
Physics, geometry, and topology, Proc. NATO ASI, Summer Sch. Theor. Phys., Banff/Can. 1989, NATO ASI Ser., Ser. B 238, 583-603 (1990).
MSC:
57M25
82B23
The Yang-Baxter relation: A new tool for knot theory. (English) Zbl 0717.57003
Braid group, knot theory and statistical mechanics, Adv. Ser. Math. Phys. 9, 151-200 (1989).
Knot theory based on solvable models at criticality. (English) Zbl 0847.57007
Integrable systems in quantum field theory and statistical mechanics, Proc. Symp., Kyoto/Jap. and Kyuzeso/Jap. 1988, Adv. Stud. Pure Math. 19, 193-285 (1989).
Reviewer: Lu-Yu Wang (MR 91g:57003)
MSC:
57M25
82B23
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