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The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models

   
@article{EJP2580,
	author = {Wei-Kuo Chen},
	title = {The Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {},
	abstract = {The Parisi formula for the free energy in the spherical models with mixed even p-spin interactions was proven in Michel Talagrand. In this paper we study the general mixed p-spin spherical models including p-spin interactions for odd p. We establish the Aizenman Sims-Starr scheme and from this together with many well-known results and Dmitry Panchenko's recent proof on the Parisi ultrametricity conjecture, we prove the Parisi formula.},
	pages = {no. 94, 1-14},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2580},    
        url = {http://ejp.ejpecp.org/article/view/2580}}