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008			140928s2005 riua ob 000 0 eng
020			_a9781470404406 (online)
040			_aDLC _cDLC _dDLC _dRPAM
050	0	0	_aQA3 _b.A57 no. 839 _aQA166.8
082	0	0	_a510 s _a537/.2 _222
100	1		_aCiucu, Mihai, _d1968-
245	1	2	_aA random tiling model for two dimensional electrostatics / _h[electronic resource] _cMihai Ciucu.
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _c2005.
300			_a1 online resource (ix, 144 p. : ill.)
490	0		_aMemoirs of the American Mathematical Society, _x0065-9266 (print); _x1947-6221 (online); _vv. 839
500			_a"Volume 178, number 839 (third of 5 numbers)."
504			_aIncludes bibliographical references (p. 144).
505	0	0	_tA random tiling model for two dimensional electrostatics _t1. Introduction _t2. Definitions, statement of results and physical interpretation _t3. Reduction to boundary-influenced correlations _t4. A simple product formula for correlations along the boundary _t5. A $(2m + 2n)$-fold sum for $\omega _b$ _t6. Separation of the $(2m + 2n)$-fold sum for $\omega _b$ in terms of $4mn$-fold integrals _t7. The asymptotics of the $T^{(n)}$'s and $T'^{(n)}$'s _t8. Replacement of the $T^{(k)}$'s and $T'^{(k)}$'s by their asymptotics _t9. Proof of Proposition 7.2 _t10. The asymptotics of a multidimensional Laplace integral _t11. The asymptotics of $\omega _b$. Proof of Theorem 2.2 _t12. Another simple product formula for correlations along the boundary _t13. The asymptotics of $\bar {\omega }_b$. Proof of Theorem 2.1 _t14. A conjectured general two dimensional superposition principle _t15. Three dimensions and concluding remarks _tB. Plane partitions I: A generalization of MacMahon's formula _t1. Introduction _t2. Two families of regions _t3. Reduction to simply-connected regions _t4. Recurrences for $\mathrm {M}(R_{\mathbf {l}, \mathbf {q}}(x))$ and $\mathrm {M}(\bar {R}_{\mathbf {l}, \mathbf {q}}(x))$ _t5. Proof of Proposition 2.1 _t6. The guessing of $\mathrm {M}(R_{\mathbf {l}, \mathbf {q}}(x))$ and $\mathrm {M}(\bar {R}_{\mathbf {l}, \mathbf {q}}(x))$
506	1		_aAccess is restricted to licensed institutions
533			_aElectronic reproduction. _bProvidence, Rhode Island : _cAmerican Mathematical Society. _d2012
538			_aMode of access : World Wide Web
588			_aDescription based on print version record.
650		0	_aTiling (Mathematics)
650		0	_aElectrostatics.
650		0	_aStatistical mechanics.
776	0		_iPrint version: _aCiucu, Mihai, 1968- _trandom tiling model for two dimensional electrostatics / _w(DLC) 2005050800 _x0065-9266 _z9780821837948
786			_dAmerican mathematical Society
856	4		_3Contents _uhttp://www.ams.org/memo/0839
856	4		_3Contents _uhttp://dx.doi.org/10.1090/memo/0839
942			_2EBK13292 _cEBK
999			_c42586 _d42586