Bibliography. [1] ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇, ▇▇▇▇▇ ▇▇▇▇▇▇▇, and ▇▇▇▇▇▇▇ ▇▇▇- ▇▇▇▇▇▇▇, Decimation limits of principal algebraic Zd - actions, Preprint (2021). [2] ▇▇▇ ▇▇▇▇▇▇▇▇ and ▇▇▇▇▇▇▇ ▇▇▇▇▇▇, Local limit theorems for par- tial sums of stationary sequences generated by ▇▇▇▇▇–Markov maps, Stochastics and Dynamics 1 (2001), no. 02, 193–237. [3] ▇▇▇▇ ▇▇▇▇▇▇▇, The complex analytic structure of the space of closed Rie- ▇▇▇▇ surfaces, Princeton University Press, 2015. [4] ▇▇▇▇ ▇▇▇▇▇ and ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇▇, A proof of the transfer-current theorem in absence of reversibility, Statistics & Probability Letters 142 (2018), 17–22. [5] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇ ▇▇▇▇▇▇ and ▇▇▇ ▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, Introduction to commutative algebra, CRC Press, 2018. [6] ▇▇▇▇▇▇ ▇▇▇▇, A natural topology for upper semicontinuous functions and a Baire category dual for convergence in measure, Pacific J. Math. 96 (1981), no. 2, 251–263. 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[26] ▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, Limit theorems for partially hyperbolic systems, Transactions of the American Mathematical Society 356 (2004), no. 4, 1637–1689. [27] ▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ surfaces, Oxford University Press, 2011. [28] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇ and ▇▇▇▇▇▇ ▇. ▇▇▇▇▇, Sequences, discrepancies and ap- plications, Springer, 2006. [29] ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇, Absolute factorization of polynomials: a geo- metric approach, SIAM J. Comput. 20 (1991), no. 1, 1–21, DOI 10.1137/0220001. MR1082133 [30] ▇▇▇▇▇▇▇ ▇. ▇▇▇▇▇, Statistical theory of the energy levels of complex sys- tems. I, Journal of Mathematical Physics 3 (1962), no. 1, 140–156. [31] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇▇, and ▇▇▇▇▇▇ ▇▇▇▇, Expansive subdynamics for algebraic Zd-actions, Er- godic Theory Dynam. Systems 21 (2001), no. 6, 1695–1729, DOI 10.1017/S014338570100181X. 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[38] ▇▇▇▇ ▇▇▇▇▇▇▇, Statistical ensembles of complex, quaternion, and real matrices, Journal of Mathematical Physics 6 (1965), no. 3, 440–449. [39] ▇▇▇▇▇ ▇▇▇▇▇, Lectures on random lozenge tilings, Cambridge Univ. Press, to appear. [40] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇, The central limit theorem for stationary processes, Doklady Akademii Nauk, 1969, pp. 739–741. [41] , A homoclinic version of the central limit theorem, Journal of Mathematical Sciences 68 (1994), no. 4, 451–458.
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Bibliography. [1] ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇, ▇▇▇▇▇ ▇▇▇▇▇▇▇, and ▇▇▇▇▇▇▇ ▇▇▇- ▇▇▇▇▇▇▇, Decimation limits of principal algebraic Zd - actions, Preprint (2021). [2] ▇▇▇ ▇▇▇▇▇▇▇▇ and ▇▇▇▇▇▇▇ ▇▇▇▇▇▇, Local limit theorems for par- tial sums of stationary sequences generated by ▇▇▇▇▇–Markov maps, Stochastics and Dynamics 1 (2001), no. 02, 193–237. [3] ▇▇▇▇ ▇▇▇▇▇▇▇, The complex analytic structure of the space of closed Rie- ▇▇▇▇ surfaces, Princeton University Press, 2015. [4] ▇▇▇▇ ▇▇▇▇▇ and ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇▇, A proof of the transfer-current theorem in absence of reversibility, Statistics & Probability Letters 142 (2018), 17–22. [5] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇ ▇▇▇▇▇▇ and ▇▇▇ ▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, Introduction to commutative algebra, CRC Press, 2018. [6] ▇▇▇▇▇▇ ▇▇▇▇, A natural topology for upper semicontinuous functions and a Baire category dual for convergence in measure, Pacific J. Math. 96 (1981), no. 2, 251–263. MR637972 [7] ▇▇▇▇ ▇▇▇▇▇▇▇ and ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇, Deux propriétés décidables des suites récurrentes linéaires, Bull. Soc. Math. France 104 (1976), no. 2, 175–184 (French). MR414475 [8] ▇▇▇▇▇▇ ▇▇▇▇, Spaces of Riemann surfaces as bounded domains, Bul- letin of the American Mathematical Society 66 (1960), no. 2, 98–103. [9] ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇, Introduction to compact Riemann surfaces, Springer, 2011. [10] ▇▇▇▇▇▇▇▇ ▇▇ ▇▇▇▇▇▇, Limit theorems for non-hyperbolic automor- phisms of the torus, Israel Journal of Mathematics 109 (1999), no. 1, 61–73. [11] ▇▇▇▇▇ ▇. ▇▇▇▇, Uniform approximation to ▇▇▇▇▇▇’▇ measure in sev- eral variables, Canad. Math. Bull. 41 (1998), no. 1, 125–128, DOI 10.4153/CMB-1998-019-6. MR1618904 [12] ▇▇▇▇ ▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇▇, ▇▇▇▇▇ ▇▇▇▇▇, and ▇▇▇▇ ▇▇▇▇▇▇▇, Spe- cial invited paper: uniform spanning forests, Annals of probability (2001), 1–65. [13] ▇▇▇▇ ▇▇▇▇▇ and ▇▇▇▇▇▇▇ ▇▇▇▇, Expansive subdynamics, Trans. Amer. Math. Soc. 349 (1997), no. 1, 55–102, DOI 10.1090/S0002-9947-97- 01634-6. MR1355295 [14] ▇▇▇▇▇ ▇▇▇▇▇, Equilibrium states and the ergodic theory of Anosov dif- feomorphisms, Springer Lecture Notes in Math 470 (1975), 78–104. [15] ▇▇▇▇▇▇▇▇ ▇▇ ▇▇▇▇▇▇ and ▇▇▇▇▇▇▇▇▇ ▇▇▇▇, Vitesse dans le théorème limite central pour certains systèmes dynamiques quasi-hyperboliques, Bulletin de la Société Mathématique de France 133 (2005), no. 3, 395– 417. [16] ▇▇▇▇▇▇ ▇▇▇▇▇▇ and ▇▇▇▇▇ ▇▇▇▇▇▇▇▇, Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer- impedances, The Annals of Probability (1993), 1329–1371. [17] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇, and ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇▇▇, A transfer principle: from periods to isoperiodic foliations, arXiv preprint arXiv:1511.07635 (2015). [18] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇▇ and ▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇, Isoperiodic meromorphic forms: two simple poles, arXiv:2109.01796 (2021). [19] ▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇, Limite d’ensembles et géométrie des nombres, Bull. Soc. Math. France 78 (1950), 143–151 (French). MR38983 [20] ▇▇▇▇▇ ▇▇▇▇▇▇, Galois descent, ▇▇▇▇▇://▇▇▇▇▇▇▇.▇▇▇▇.▇▇▇▇▇.▇▇▇/ blurbs/galoistheory/galoisdescent.pdf. [21] ▇▇▇▇ ▇▇▇▇▇▇▇▇▇, On the Chabauty space of locally compact abelian groups, Algebr. Geom. Topol. 11 (2011), no. 4, 2007–2035, DOI 10.2140/agt.2011.11.2007. MR2826931 [22] ▇▇▇▇▇ ▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇▇▇, and ▇▇▇▇▇ ▇▇▇▇▇, A variational princi- ple for domino tilings, ▇. ▇▇▇▇. Math. Soc. 14 (2001), no. 2, 297–346. [23] ▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, and ▇▇▇▇▇▇▇▇▇ ▇▇▇▇, Rates in the strong invariance principle for ergodic automorphisms of the torus, Stochastics and Dynamics 14 (2014), no. 02, 1350021. [24] ▇▇▇▇▇▇ ▇▇▇▇, Theoretical studies of self-organized criticality, Physica A: Statistical Mechanics and its Applications 369 (2006), no. 1, 29–70. [25] ▇▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇, Convergence to the ▇▇▇▇▇▇ measure and the dis- tribution of periodic points for algebraic Noetherian Zd-actions, arXiv 1611.04664 (2016). [26] ▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, Limit theorems for partially hyperbolic systems, Transactions of the American Mathematical Society 356 (2004), no. 4, 1637–1689. [27] ▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ surfaces, Oxford University Press, 2011. [28] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇ and ▇▇▇▇▇▇ ▇. ▇▇▇▇▇, Sequences, discrepancies and ap- plications, Springer, 2006. [29] ▇▇▇▇▇▇▇▇▇ ▇▇▇▇▇, Absolute factorization of polynomials: a geo- metric approach, SIAM J. ▇▇▇▇ ▇. Comput. 20 (1991), no. 1, 1–21, DOI 10.1137/0220001. MR1082133 [30] ▇▇▇▇▇▇▇ ▇. ▇▇▇▇▇, Statistical theory of the energy levels of complex sys- tems. I, Journal of Mathematical Physics 3 (1962), no. 1, 140–156. [31] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇, ▇▇▇▇▇▇▇ ▇▇▇▇▇, and ▇▇▇▇▇▇ ▇▇▇▇, Expansive subdynamics for algebraic Zd-actions, Er- godic Theory Dynam. Systems 21 (2001), no. 6, 1695–1729, DOI 10.1017/S014338570100181X. MR1869066 [32] ▇▇▇▇▇▇ ▇▇▇▇▇▇▇, ▇▇▇ ▇▇▇ ▇▇▇ ▇▇▇▇▇▇▇, ▇▇▇▇ ▇▇▇▇▇▇▇▇▇▇▇, and ▇▇▇▇▇▇ ▇▇▇▇, Recurrence sequences, Mathematical Surveys and Monographs, vol. 104, American Mathematical Society, Providence, RI, 2003. MR1990179 [33] ▇▇▇▇▇ ▇▇▇▇ and ▇▇▇▇▇ ▇▇▇▇▇▇, On roughly transitive amenable graphs and harmonic Dirichlet functions, Proceedings of the American Math- ematical Society (2000), 2479–2485. [34] ▇▇▇▇ ▇▇▇▇▇▇▇▇ and ▇▇▇▇▇▇▇ ▇▇▇▇▇▇▇▇▇, Geometry in the tropical limit, Math. Semesterber. 59 (2012), no. 1, 57–73. [35] ▇▇▇▇▇▇▇ ▇▇▇, Absolute irreducibility of polynomials via New- ton polytopes, ▇. ▇▇▇▇▇▇▇ J. Algebra 237 (2001), no. 2, 501–520, DOI 10.1006/jabr.2000.8586. MR1816701 [36] ▇▇▇▇▇▇ ▇. ▇▇▇▇▇▇▇, ▇▇▇▇▇▇▇ ▇. ▇▇▇▇▇▇▇▇, and ▇▇▇▇▇▇ ▇. ▇▇▇▇▇▇▇▇▇▇, Dis- criminants, resultants, and multidimensional determinants, ▇▇▇▇▇- ▇▇▇▇▇▇: Theory & Applications, Birkhäuser Boston, Inc., Boston, MA, 1994. MR1264417 [37] ▇▇▇▇▇▇▇▇▇ ▇. ▇▇▇▇▇▇▇, Transcendental and algebraic numbers, Dover, New York, 1960. [38] ▇▇▇▇ ▇▇▇▇▇▇▇, Statistical ensembles of complex, quaternion, and real matrices, Journal of Mathematical Physics 6 (1965), no. 3, 440–449. [39] ▇▇▇▇▇ ▇▇▇▇▇, Lectures on random lozenge tilings, Cambridge Univ. Press, to appear. [40] ▇▇▇▇▇▇▇ ▇▇▇▇▇▇, The central limit theorem for stationary processes, Doklady Akademii Nauk, 1969, pp. 739–741. [41] , A homoclinic version of the central limit theorem, Journal of Mathematical Sciences 68 (1994), no. 4, 451–458.
Appears in 1 contract