"Razumov-Stroganov Conjecture"의 두 판 사이의 차이

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==introduction==
 
* The Razumov-Stroganov correspondence, an important link between statistical physics and combinatorics proved in 2011 by L. Cantini and A. Sportiello
 
** the ground-state coefficients in the even-length dense O(1) loop model
 
** the enumeration of fully-packed loop configuration on the square, with alternating boundary conditions, refined according to the link pattern for the boundary points
 
* relates the ground state eigenvector of the O(1) dense loop model on a semi-infinite cylinder to a refined enumeration of fully-packed loops, which are in bijection with alternating sign matrices.
 
* http://www.msri.org/web/msri/scientific/workshops/show?p_p_id=event_WAR_eventportlet&p_p_lifecycle=2&p_p_state=normal&p_p_mode=view&p_p_resource_id=viewAttach&p_p_cacheability=cacheLevelPage&p_p_col_id=column-2&p_p_col_pos=2&p_p_col_count=3&_event_WAR_eventportlet_attachmentid=403&_event_WAR_eventportlet_eventid=Wm578
 
  
 
 
 
 
==related items==
 
 
* [[alternating sign matrix theorem|Alternating sign matrix theorem]]
 
* [[Temperley-Lieb algebra]]
 
 
 
 
 
==articles==
 
* Striker, Jessica. ‘The Toggle Group, Homomesy, and the Razumov-Stroganov Correspondence’. arXiv:1503.08898 [cond-Mat, Physics:math-Ph], 30 March 2015. http://arxiv.org/abs/1503.08898.
 
* Cantini, Luigi, and Andrea Sportiello. ‘Proof of the Razumov-Stroganov Conjecture’. arXiv:1003.3376 [cond-Mat, Physics:math-Ph], 17 March 2010. http://arxiv.org/abs/1003.3376.
 
* [http://www.combinatorics.org/Volume_12/PDF/v12i1r6.pdf Around the Razumov–Stroganov conjecture: proof of a multi-parameter sum rule]
 
 
[[분류:개인노트]]
 
[[분류:math and physics]]
 
[[분류:math]]
 

2020년 11월 13일 (금) 02:28 판