Publication Information

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1151, 1190, 1217, 1246, 1313, 1343, 1413, 1441, 1465, 1494, 1517, 1568, 1597, 1670, 1691, 1722, 1767, 1791, 1815, 1841, 1860, 1999, 2024, 2054, 2083, 2175], 'Theoretical': [423, 453, 594, 665, 757, 784, 924, 986, 1218, 1247, 1314, 1344, 1414, 1569, 1671, 1816, 1842], 'Mathematical': [425, 455, 510, 541, 596, 621, 641, 667, 759, 786, 814, 842, 926, 988, 1123, 1220, 1249, 1316, 1346, 1416, 1495, 1520, 1571, 1673, 1768, 1792, 1818, 1844, 1920, 1978, 2086, 2156, 2179, 2202, 2227, 2250], '210,': [428, 458], '2': [430, 546, 601, 672, 856, 931, 1678, 1730, 1748, 1800, 1849, 1887, 2091, 2118], 'Periodic': [433, 521, 743, 795, 1106], 'Potts': [438, 775, 1233, 1331, 1402, 1907, 2043, 2069], 'translation-invariant': [441, 2215], 'external': [444, 1209], 'tree27': [449], 'January': [450, 476, 1072, 2081, 2173], '1': [460, 573, 764, 791, 822, 847, 897, 1351, 1374, 1503, 1576, 1623, 1925, 1942, 1961, 1983, 2161, 2232, 2255], 'Phase': [463, 878, 996, 1424, 1626], 'diagrams': [464], 'chandelier': [472], 'network:': [473], 'review1': [475], 'Condensed': [479, 567], 'Matter': [480, 568], '25,': [483, 1523], 'Condition': [489], 'Uniqueness': [491, 604, 649, 1476], 'Measure': [494, 1479, 1582], 'Models': [496, 1481, 1584, 1752, 2125, 2149], 'Uncountable': [498, 1483, 1586, 1754], 'Set': [499, 1484, 1587, 1707, 1755, 2073], 'Spin': [501, 614, 1486, 1589, 1757, 2075], 'Values': [502, 615, 1487, 1590, 1758, 2076], 'Tree20': [506], 'September': [507, 951, 1439], '2021': [508, 565, 592], 'Analysis': [512, 816, 1497, 1770, 1794], 'Geometry,': [514, 818, 1499, 1772, 1796], '24,': [516, 571], '4': [518, 740, 1079, 1102, 1605, 1868], 'weakly': [523, 654, 1133, 1178, 1558, 1828], 'ground': [525, 1327, 1398], 'index': [531], 'three': [532, 1807, 2041], 'ising': [535, 2247], 'cayley': [538, 1811, 1837], 'treeReports': [539, 840], '88,': [544], 'Determination': [549], 'paramagnetic': [551], 'ferromagnetic': [553], 'phases': [554], 'third-order': [561], 'tree1': [563, 982], 'March': [564, 862, 1149, 1689], 'Weakly': [576, 794, 1105, 1199, 1393], '$$k=2$$21': [590], 'June': [591, 1215, 1244, 1668, 2295], '206,': [599], 'Measures': [607, 631, 745, 772, 797, 1108, 1711, 2102, 2123], 'Continuous': [613], 'TreeReports': [619, 639], '86,': [624, 644], 'Non-Translation-Invariant': [629], 'SOS': [634, 1968, 2016], 'nonuniqueness': [651], 'hard-core': [660, 1564], 'model13': [661], 'August': [662, 781, 1341, 1492, 1839, 2052], '2020': [663], '204,': [670], 'Positive': [675, 1063], 'Fixed': [676], 'Points': [677], 'Cubic': [679], 'Operators': [680], 'R²': [682], 'Measures1': [685], 'November': [686, 887, 1566, 1858, 2022], '2019': [687, 728, 755], 'Siberian': [691], 'Federal': [692], 'University.': [693], 'Mathematics': [694, 1937, 2323], 'Physics': [696, 869, 1018], 'Possible': [699], 'spectra': [701], 'systems': [703], 'constructed': [704], 'from': [705], 'finite': [706], 'bethe': [707], 'latticesPhysica': [708], 'A:': [709], 'Mechanics': [711], 'Applications,': [714], '527': [716], 'Hard-core': [719], 'soft-core': [721], 'Widom–Rowlinson': [722], 'trees9': [726], 'April': [727], 'Mechanics:': [733, 957, 1044, 1695, 2003, 2058], 'Experiment,': [736, 960, 1047, 1698, 2006, 2061], '2019,': [738], 'Potts-SOS': [748], 'Tree14': [753], 'May': [754, 1038, 1119, 1595], '199,': [762], 'Extremality': [767], 'Translation-Invariant': [770], 'Tree3': [780], '2018': [782, 863], '196,': [789], 'Tree': [805], 'Order': [807], 'Five': [808], 'Six18': [810], 'December': [811, 921, 1720], '2017': [812, 888, 922, 952, 984, 1012, 1039], '21,': [820], 'Nontranslation': [825], 'invariant': [826], 'uncountable': [832, 974, 1430, 2238], 'set': [833, 917, 975, 1431], 'values': [836, 978, 1434], '81,': [845], 'memory': [853], 'length': [855], 'arbitrary-order': [859], 'tree19': [861], 'Modern': [868, 1017], 'C,': [870], '29,': [872], '02': [874], 'Non-robust': [877], 'Transitions': [879], 'Generalized': [882], 'Clock': [883], 'Trees21': [886], '170,': [895], 'third': [907], 'inhomogeneous': [910, 2192, 2246], 'interactions': [911, 969, 1174, 1336, 1406, 1911, 2047], 'Construction': [914, 2235], 'p-adic': [919], 'distributions5': [920], '193,': [929], 'trees:': [938], 'class': [941], 'their': [946], 'comparison': [947], 'known': [949], 'ones18': [950], '2017,': [962, 1049], '9': [964], 'Four': [967, 1783], 'competing': [968, 1335, 1405, 1644, 1910, 2046], 'July': [983, 1765, 2298], '191,': [991], 'transition': [997], 'Vannimenus': [1002, 1090, 1687], 'semi-infinite': [1005], 'three15': [1010], 'B,': [1019], '31,': [1021], 'energies': [1030], 'Ising–Vannimenus': [1032], 'tree17': [1037], 'Physics:': [1056, 1154], 'Conference': [1057, 1155], 'Series,': [1058, 1156], '819': [1060], 'fixed': [1064], 'points': [1065], 'quadratic': [1067], 'operators': [1068], 'measures12': [1071], '2016': [1073, 1120, 1150], 'Positivity,': [1075], '20,': [1077, 1940], 'Using': [1082], 'approaches': [1084], 'obtain': [1086], 'treeChinese': [1095], '54,': [1100], 'HC-Model': [1111], 'Normal': [1114], 'Divisor': [1115], 'Index': [1117], 'Four6': [1118], 'Ukrainian': [1122], 'Journal,': [1124], '67,': [1126], '10': [1128, 2010], '≤': [1147], '524': [1148], '697': [1158], 'second': [1168], 'left': [1171], 'right': [1173], 'tree15': [1187], 'October': [1188, 1311, 1411, 1813, 1997], '2015': [1189, 1216, 1245], 'Russian': [1191], '59,': [1194], '11': [1196], 'tree26': [1214, 1243], '183,': [1223, 1252, 1274, 1296], 'generalized': [1232], 'interaction': [1237], 'radius': [1238], 'two': [1239], 'Меры': [1257], 'Гиббса': [1258, 1283, 1379, 1531, 1612, 1735, 1875], 'для': [1259, 1358, 1380, 1535, 1613, 1736], 'обобщенной': [1260], 'модели': [1261, 1284, 1359, 1382, 1536, 1614, 1738, 1876], 'Поттса': [1262, 1360, 1537, 1946], 'с': [1263, 1286, 1361, 1538, 1892, 1947], 'радиусом': [1264], 'взаимодействия': [1265], 'два': [1266], 'на': [1267, 1289, 1365, 1541, 1739, 1878, 1895, 1950], 'дереве': [1268, 1290, 1366, 1542, 1740, 1879, 1896, 1951], 'КэлиТеоретическая': [1269, 1291, 1367, 1543, 1741, 1880, 1897], 'и': [1270, 1292, 1368, 1384, 1532, 1544, 1617, 1742, 1881, 1898, 1955], 'математическая': [1271, 1293, 1369, 1385, 1545, 1618, 1743, 1882, 1899, 1956], 'физика,': [1272, 1294, 1370, 1386, 1546, 1619, 1744, 1883, 1900, 1957], 'О': [1279], 'слабо': [1280, 1872], 'периодических': [1281, 1873], 'мерах': [1282], 'Изинга': [1285, 1877], 'внешним': [1287], 'полем': [1288], 'Nonuniqueness': [1301, 1656], 'measure': [1305, 1561, 1660], 'ball': [1309], 'model9': [1310], '2014': [1312, 1342], '180,': [1319, 1349, 1372, 1388], 'classes': [1325], 'tree7': [1340, 1812], 'Новые': [1354], 'классы': [1355], 'основных': [1356], 'состояний': [1357], 'рассеянными': [1362], 'конкурирующими': [1363, 1539, 1948], 'взаимодействиями': [1364, 1540, 1949], 'Неединственность': [1377, 1733], 'меры': [1378, 1530, 1611, 1734], 'шаровой': [1381], 'ИзингаТеоретическая': [1383], 'tree13': [1410], '2013': [1412, 1440, 1464, 1516, 2174], '176,': [1419, 1548], 'transitions': [1425], 'tree4': [1438], 'Lobachevskii': [1442], '34,': [1447], 'Free': [1453], 'Energies': [1454], 'Tree16': [1462, 1719], '150,': [1471], '6': [1473], 'Tree11': [1491], '2012': [1493, 1567, 1596], '16,': [1501], 'GIBBS': [1506, 2013], 'MEASURES': [1507, 2014], 'ON': [1508, 2018], 'CAYLEY': [1509, 2020], 'TREES:': [1510], 'RESULTS': [1511], 'AND': [1512], 'OPEN': [1513], 'PROBLEMS6': [1514], 'Reviews': [1518], '01': [1525], 'Cлабо': [1528], 'периодические': [1529], 'основные': [1533], 'состояния': [1534], 'The': [1553, 1916, 2068, 2187], 'uniqueness': [1554], 'condition': [1555], 'model7': [1565], '173,': [1574, 1621], 'Non-uniqueness': [1579], 'Tree17': [1594], '147,': [1603], 'Условие': [1608], 'единственности': [1609], 'слабопериодической': [1610], 'жесткой': [1615], 'сердцевиныТеоретическая': [1616], 'diagram': [1627], 'extreme': [1629, 1682], 'presence': [1642], 'binary': [1645], 'ternary': [1647], 'interactionsPhase': [1648], 'Transitions,': [1649], '84,': [1651], '11-12': [1653], 'tree9': [1667], '2011': [1669, 1690, 2023], '167,': [1676, 1746], 'model28': [1688], '2011,': [1700], '03': [1702, 2036], 'Limiting': [1709], '2010': [1721, 1766], '142,': [1728], 'одной': [1737], 'Tree:': [1762, 2152], 'Integral': [1763], 'Equations27': [1764], '13,': [1774], 'Competing': [1784, 2127], 'Interactions': [1785, 2108, 2131], 'Tree10': [1788], '2009': [1790], '12,': [1798, 2182], 'Fertile': [1803], 'HC': [1804], '2008': [1814, 1840], '156,': [1821, 1847, 1885, 1902], 'isingmodel': [1834], 'tree30': [1838], 'Contour': [1853, 2153], 'Method': [1854], 'Trees14': [1857], '2007': [1859], '130,': [1866], 'Описание': [1871], 'мер': [1874], 'Плодородные': [1890], 'HC-модели': [1891], 'тремя': [1893], 'состояниями': [1894], 'tree:': [1915, 1993], 'contour': [1917], 'methodTheoretical': [1918], '153,': [1923, 1959], 'recursive': [1930], 'equation': [1931], 'over': [1932], 'p': [1934], '-adic': [1935], 'fieldApplied': [1936], 'Letters,': [1938], 'Модель': [1945], 'Кэли:': [1952], 'контурный': [1953], 'методТеоретическая': [1954], 'four': [1971], 'treeTheoretical': [1976, 2200], '149,': [1981], 'q': [1987], '-component': [1988], 'general': [1995], 'case13': [1996], '2006': [1998, 2053, 2082, 2299], '2006,': [2008, 2063], 'FOR': [2015], 'MODELS': [2017], 'TREE20': [2021], 'Infinite': [2025], 'Dimensional': [2026], 'Analysis,': [2027], 'Quantum': [2028], 'Probability': [2029, 2289], 'Related': [2031], 'Topics,': [2032], '09,': [2034], 'state': [2042, 2265], 'lattice18': [2051], '08': [2065], 'Countable': [2072], 'Tree6': [2080], 'Letters': [2084], '75,': [2089], 'Constructive': [2095], 'Ground': [2098], 'States': [2099], 'Two-Step': [2107], 'TreeJournal': [2111], '122,': [2116], 'Ternary': [2128], 'Binary': [2130], 'Corresponding': [2133], 'Von': [2134, 2210], 'Neumann': [2135, 2211], 'Algebras': [2136], 'IIJournal': [2137], '119,': [2142], '1-2': [2144, 2280], 'q-Component': [2148], 'MethodLetters': [2154], '71,': [2159], 'Three': [2165], 'State': [2166], 'Hard-Core': [2167], 'Tree21': [2172], 'Nonlinear': [2178], 'disordered': [2188], 'potts': [2193], 'is': [2195], 'extremal': [2196], '124,': [2205], 'algebras': [2212], 'generated': [2213], 'latticeTheoretical': [2225], '123,': [2230], 'number': [2239], 'modelTheoretical': [2248], '118,': [2253], 'purity': [2260], 'gibbs': [2264], 'latticeJournal': [2273], '79,': [2278], 'Volume': [2283], '35,': [2284], 'Issue': [2285], '2|': [2286], '1991Theory': [2287], 'Its': [2291], 'Applications': [2292], 'History': [2293], 'Submitted:01': [2294], '1989Published': [2296], 'online:17': [2297], 'InformationCopyright': [2300], '©': [2301], 'Society': [2302], 'Industrial': [2304, 2320], 'Applied': [2306, 2322], 'MathematicsPDF': [2307], 'Download': [2308], 'Article': [2309], 'Publication': [2311], 'DataArticle': [2312], 'DOI:10.1137/1135031Article': [2313], 'page': [2314], 'range:pp.': [2315], '216-227ISSN': [2316], '(print):0040-585XISSN': [2317], '(online):1095-7219Publisher:Society': [2318]}, 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