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On the uniqueness of the equilibrium state for Ising spin systems
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Outgoing claims: the papers this work cites, builds on, or argues with.
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inferred← citeshttps://doi.org/10.1002/cpa.21467openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/cpa.21884openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/rsa.20924openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/3-540-08853-9_36openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/3-540-08853-9_4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/3-540-08853-9_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/3-540-11956-6_118openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4612-1512-7_38openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4612-2920-9_12openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4615-8924-2_1openalex-snapshot
An Introduction to Some Topics in Constructive Quantum Field Theory
inferred← citeshttps://doi.org/10.1007/978-1-4899-6762-6_3openalex-snapshot
Interface and Surface Tension in Ising Model
inferred← citeshttps://doi.org/10.1007/978-3-030-32011-9_2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-23811-6_20openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-662-02866-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-7091-8473-8_13openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-015-8326-8_15openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00538795openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01014602openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01020782openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01040105openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01049960openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01084281openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01118157openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01152284openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01197743openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01238808openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01238859openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01240220openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01247839openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01256495openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01608543openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01608634openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01609399openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01609401openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01611505openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01614213openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01614239openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01614240openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01646196openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01646265openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01646351openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01646430openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01646687openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01940772openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02179648openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02179875openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02559597openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02737692openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02745916openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02746976openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02747567openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02747778openalex-snapshot
Instabilities and phase transitions in the ising model. A review
inferred← citeshttps://doi.org/10.1007/bfb0013358openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0032338openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0034509openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0080182openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0092620openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0112759openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00220-012-1571-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00220-014-2093-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00220-015-2299-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00220-019-03633-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00220-023-04925-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s002200050204openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s004400050023openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10955-006-9135-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10955-006-9214-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10955-006-9274-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10955-009-9788-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10955-010-9961-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10955-017-1947-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-247x(79)90147-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0196-8858(81)90010-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0304-4149(81)90001-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0304-4149(94)90132-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0304-8853(83)90965-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0375-9601(81)90356-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(76)90027-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(81)90003-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0378-4371(92)90142-dopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2005.06.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physa.2012.01.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.physrep.2024.05.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.spa.2019.02.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0079-8169(08)60062-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0304-4149(98)00086-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0378-4371(97)00245-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s1062-7901(01)80008-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/9781316882603openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/jpr.2021.70openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1019983427289openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1021690414168openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/b:joss.0000026727.43077.49openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.523341openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.526080openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.529192openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/5.0068115openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/5.0077229openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0264-9381/12/2/023openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/12/5/010openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/14/10/024openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/15/3/030openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/15/3/031openalex-snapshot
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inferred← citeshttps://doi.org/10.1088/0305-4470/21/8/010openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/mmono/104openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9904-1978-14445-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.33.377openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/physrevlett.35.549openalex-snapshot
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inferred← citeshttps://doi.org/10.1103/revmodphys.71.s346openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0129055x11004527openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0217979209053291openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/aop/1019160324openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/aop/1176987791openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/aop/1176996347openalex-snapshot
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inferred← citeshttps://doi.org/10.1214/ejp.v6-79openalex-snapshot
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inferred← citeshttps://doi.org/10.1216/rmj-1974-4-3-479openalex-snapshot
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inferred← citeshttps://doi.org/10.13140/rg.2.2.30387.35368openalex-snapshot
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inferred← citeshttps://doi.org/10.17863/cam.16208openalex-snapshot
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inferred← citeshttps://doi.org/10.2307/1403035openalex-snapshot
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inferred← citeshttps://doi.org/10.2307/1970921openalex-snapshot
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inferred← citeshttps://doi.org/10.2977/prims/1195189280openalex-snapshot
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inferred← citeshttps://doi.org/10.3929/ethz-b-000384647openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.1011.2683openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.math-ph/0509036openalex-snapshot
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inferred← citeshttps://doi.org/10.5282/edoc.14534openalex-snapshot
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