Karyon expansions of Pisot numbers in multidimensional continued fractions
V. G. Zhuravlev

This publication is cited in the following articles:

1. V. G. Zhuravlev, “Mnogomernye neodnorodnye priblizheniya”, Algebra i teoriya chisel. 7, Zap. nauchn. sem. POMI, 538, POMI, SPb., 2024, 45–84  
2. V. G. Zhuravlev, “Combinatoric of the karyon tilings”, J. Math. Sci. (N. Y.), 286:6 (2024), 855–885    
3. V. G. Zhuravlev, “Drobno-matrichnaya invariantnost sistem lineinykh form”, Algebra i teoriya chisel. 4, Zap. nauchn. sem. POMI, 502, POMI, SPb., 2021, 5–31  
4. V. G. Zhuravlev, “Lokalnaya struktura yadernykh razbienii”, Algebra i teoriya chisel. 4, Zap. nauchn. sem. POMI, 502, POMI, SPb., 2021, 32–73  
5. V. G. Zhuravlev, “Simmetrii yadernykh razbienii”, Algebra i teoriya chisel. 4, Zap. nauchn. sem. POMI, 502, POMI, SPb., 2021, 74–121  
6. V. G. Zhuravlev, “$\mathcal{L}$-algoritm approksimatsii diofantovykh sistem lineinykh form”, Algebra i teoriya chisel. 3, Zap. nauchn. sem. POMI, 490, POMI, SPb., 2020, 25–48  
7. V. G. Zhuravlev, “Diofantovy priblizheniya lineinykh form”, Algebra i teoriya chisel. 3, Zap. nauchn. sem. POMI, 490, POMI, SPb., 2020, 5–24  
8. V. G. Zhuravlev, “Dvoistvennye diofantovy sistemy lineinykh neravenstv”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 23–51  
9. V. G. Zhuravlev, “Nailuchshie priblizheniya algebraicheskikh chisel mnogomernymi tsepnymi drobyami”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 52–84  
10. V. G. Zhuravlev, “Lokalnyi algoritm postroeniya proizvodnykh razbienii dvumernogo tora”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 85–120  
11. V. G. Zhuravlev, “The karyon algorithm for decomposition into multidimensional continued fractions”, J. Math. Sci. (N. Y.), 242:4 (2019), 487–508      
12. V. G. Zhuravlev, “The unimodularity of the induced toric tilings”, J. Math. Sci. (N. Y.), 242:4 (2019), 509–530      
13. V. G. Zhuravlev, “Fractional-linear invariance of multidimensional continued fractions”, J. Math. Sci. (N. Y.), 234:5 (2018), 616–639    
14. V. G. Zhuravlev, “Fractional-linear invariance of the symplex-module algorithm for decomposition in multidimensional continued fractions”, J. Math. Sci. (N. Y.), 234:5 (2018), 640–658    
15. V. G. Zhuravlev, “Local Pisot matricies and mutual approximations of algebraic numbers”, J. Math. Sci. (N. Y.), 234:5 (2018), 659–679    
16. V. G. Zhuravlev, “Simplex-module algorithm for expansion of algebraic numbers in multidimensional continued fractions”, J. Math. Sci. (N. Y.), 225:6 (2017), 924–949