Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Roger E. Behrend"'
Publikováno v:
Scopus-Elsevier
We study the enumeration of diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order by introducing a case of the six-vertex model whose configurations are in bijection with such matrices. The model involves a gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::948c41f3a6d7bd0bf6915ac3c05bbe86
https://doi.org/10.46298/dmtcs.6346
https://doi.org/10.46298/dmtcs.6346
Publikováno v:
Advances in Mathematics. 367:107125
For each $\alpha \in \{0,1,-1 \}$, we count diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order with a maximal number of $\alpha$'s along the diagonal and the antidiagonal, as well as DASASMs of fixed odd or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ea3e7e4bc6ba59c18631b8b6146a7c9
https://doi.org/10.1016/j.aim.2020.107125
https://doi.org/10.1016/j.aim.2020.107125
Autor:
Roger E. Behrend, Arvind Ayyer
We show that, for a certain class of partitions and an even number of variables of which half are reciprocals of the other half, Schur polynomials can be factorized into products of odd and even orthogonal characters. We also obtain related factoriza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9fc37724b1bf2804f34648201b7b491
http://arxiv.org/abs/1804.04514
http://arxiv.org/abs/1804.04514
Publikováno v:
Journal of Combinatorial Theory, Series A
It was shown recently by the authors that, for any n, there is equality between the distributions of certain triplets of statistics on nxn alternating sign matrices (ASMs) and descending plane partitions (DPPs) with each part at most n. The statistic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50f3cb62133f30aac451cd71acec0472
https://doi.org/10.1016/j.jcta.2012.09.004
https://doi.org/10.1016/j.jcta.2012.09.004
Publikováno v:
Journal of Combinatorial Theory, Series A
We prove a conjecture of Mills, Robbins and Rumsey [Alternating sign matrices and descending plane partitions, J. Combin. Theory Ser. A 34 (1983), 340-359] that, for any n, k, m and p, the number of nxn alternating sign matrices (ASMs) for which the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce16826635fc62f2f8d8df121e3213df
https://doi.org/10.1016/j.jcta.2011.09.004
https://doi.org/10.1016/j.jcta.2011.09.004
A fractional matching of a graph G is a function f from E ( G ) to the interval 0 , 1 ] such that ? e ? ? ( v ) f ( e ) ? 1 for each v ? V ( G ) , where ? ( v ) is the set of edges incident to v . The fractional matching number of G , written α ? '
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7635249be897067157414002815c13b4
https://orca.cardiff.ac.uk/id/eprint/70728/1/SharpLowerBoundsOnTheFractionalMatchingNumber-January2015.pdf
https://orca.cardiff.ac.uk/id/eprint/70728/1/SharpLowerBoundsOnTheFractionalMatchingNumber-January2015.pdf
Autor:
Paul A. Pearce, Roger E. Behrend
Publikováno v:
Journal of Statistical Physics. 102:577-640
Integrable boundary conditions are studied for critical A-D-E and general graph-based lattice models of statistical mechanics. In particular, using techniques associated with the Temperley-Lieb algebra and fusion, a set of boundary Boltzmann weights
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71e2b28c567d5789f061ee894e6f2c51
https://doi.org/10.1023/a:1004890600991
https://doi.org/10.1023/a:1004890600991
Publikováno v:
Physics Letters B. 444:163-166
The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on a cylinder is equivalent to finding integer valued representations of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b84ee7486d8696c799a0562e9410ef2
https://doi.org/10.1016/s0370-2693(98)01374-4
https://doi.org/10.1016/s0370-2693(98)01374-4
Autor:
Roger E. Behrend, Paul A. Pearce
Publikováno v:
International Journal of Modern Physics B. 11:2833-2847
We present the general diagonal and, in some cases, non-diagonal solutions of the boundary Yang-Baxter equation for a number of related interaction-round-a-face models, including the standard and dilute A_L, D_L and E_{6,7,8} models.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bf607a51ff5553e01748502af5f9052
https://doi.org/10.1142/s0217979297001386
https://doi.org/10.1142/s0217979297001386
Publikováno v:
Journal of Physics A: Mathematical and General. 30:2353-2366
In a previous paper, we introduced reflection equations for interaction-round-a-face (IRF) models and used these to construct commuting double-row transfer matrices for solvable lattice spin models with fixed boundary conditions. In particular, for t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::370cc083ec8357be97c0323d528c1463
https://doi.org/10.1088/0305-4470/30/7/017
https://doi.org/10.1088/0305-4470/30/7/017