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pro vyhledávání: '"Xuan, Nguyen Tong"'
We prove the equivalence between the integral central limit theorem and the local central limit theorem for two-body potentials with long-range interactions on the lattice $\mathbb{Z}^d$ for $d\ge 1$. The spin space can be an arbitrary, possibly unbo
Externí odkaz:
http://arxiv.org/abs/2408.04542
Autor:
Xuan, Nguyen Tong, Fernandez, Roberto
We develop a novel cluster expansion for finite-spin lattice systems subject to multi-body quantum -- and, in particular, classical -- interactions. Our approach is based on the use of ``decoupling parameters", advocated by Park [34], which relates p
Externí odkaz:
http://arxiv.org/abs/2307.10742
Autor:
Fernández, Roberto, Xuan, Nguyen Tong
We study the convergence of cluster and virial expansions for systems of particles subject to positive two-body interactions. Our results strengthen and generalize existing lower bounds on the radii of convergence and on the value of the pressure. Ou
Externí odkaz:
http://arxiv.org/abs/1909.13257
Autor:
Fern��ndez, Roberto, Xuan, Nguyen Tong
We study the convergence of cluster and virial expansions for systems of particles subject to positive two-body interactions. Our results strengthen and generalize existing lower bounds on the radii of convergence and on the value of the pressure. Ou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f73982ce86cad31661acb3201e99e548
http://arxiv.org/abs/1909.13257
http://arxiv.org/abs/1909.13257