Yuri Kondratiev (1953–2023)
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https://doi.org/10.3842/umzh.v77i4.9074Keywords:
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References
1. S. Albeverio, Yu. Kondratiev, Yu. Kozitsky, M. Röckner, The statistical mechanics of quantum lattice systems: a path integral approach, Tracts in Mathematics, vol. 8, Eur. Math. Soc., Zürich (2009). DOI: https://doi.org/10.4171/070
2. S. Albeverio, Yu. Kondratiev, R. Nikiforov, G. Torbin, On fractal properties of non-normal numbers with respect to R'enyi $f$!-expansions generated by piecewise linear functions, Bull. Sci. Math., 138, № 3, 440–455 (2014). DOI: https://doi.org/10.1016/j.bulsci.2013.10.005
3. S. Albeverio, Yu. Kondratiev, R. Nikiforov, G. Torbin, On new fractal phenomena connected with infinite linear IFS, Math. Nachr., 290, № 8-9, 1163–1176 (2017). DOI: https://doi.org/10.1002/mana.201500471
4. S. Albeverio, Yu. Kondratiev, T. Pasurek, M. Röckner, Euclidean Gibbs measures on loop lattices: existence and a priori estimates, Ann. Probab., 32, № 1A, 153–190 (2004). DOI: https://doi.org/10.1214/aop/1078415832
5. S. Albeverio, Yu. G. Kondratiev, M. Röckner, Analysis and geometry on configuration spaces, J. Funct. Anal., 154, № 2, 444–500 (1998). DOI: https://doi.org/10.1006/jfan.1997.3183
6. S. Albeverio, Yu. G. Kondratiev, M. Röckner, Analysis and geometry on configuration spaces: the Gibbsian case, J. Funct. Anal., 157, № 1, 242–291 (1998). DOI: https://doi.org/10.1006/jfan.1997.3215
7. S. Albeverio, Yu. G. Kondratiev, M. Röckner, T. V. Tsikalenko, Uniqueness of Gibbs states for quantum lattice systems, Probab. Theory and Related Fields, 108, № 2, 193–218 (1997). DOI: https://doi.org/10.1007/s004400050107
8. Yu. M. Berezans'kii, I. M. Gali, Yu. G. Kondratiev, Stone's theorem for the additive group of a Hilbert space, Funktsional. Anal. i Prilozhen., 11, № 4, 68–69 (1977). DOI: https://doi.org/10.1007/BF01077145
9. Yu. M. Berezansky, Yu. G. Kondratiev, Spectral methods in infinite-dimensional analysis, vol. 1, Mathematical Physics and Applied Mathematics, vol. 12/1, Kluwer Academic Publ., Dordrecht (1995); Translated from the 1988 Russian original by P. V. Malyshev and D. V. Malyshev and revised by the authors.
10. Yu. M. Berezansky, Yu. G. Kondratiev, Spectral methods in infinite-dimensional analysis, vol. 2, Mathematical Physics and Applied Mathematics, vol. 12/2, Kluwer Academic Publ., Dordrecht (1995); Translated from the 1988 Russian original by P. V. Malyshev and D. V. Malyshev and revised by the authors. DOI: https://doi.org/10.1007/978-94-011-0509-5
11. A. Daletskii, Yu. Kondratiev, Yu. Kozitsky, T. Pasurek, Gibbs states on random configurations, J. Math. Phys., 55, № 8, Article 083513 (2014). DOI: https://doi.org/10.1063/1.4891992
12. D. Finkelshtein, Yu. Kondratiev, Yu. Kozitsky, O. Kutoviy, The statistical dynamics of a spatial logistic model and the related kinetic equation, Math. Models and Methods Appl. Sci., 25, № 2, 343–370 (2015). DOI: https://doi.org/10.1142/S0218202515500128
13. D. Finkelshtein, Yu. Kondratiev, O. Kutoviy, Semigroup approach to birth-and-death stochastic dynamics in continuum, J. Funct. Anal., 262, № 3, 1274–1308 (2012). DOI: https://doi.org/10.1016/j.jfa.2011.11.005
14. D. Finkelshtein, Yu. Kondratiev, O. Kutoviy, E. Zhizhina, On an aggregation in birth-and-death stochastic dynamics, Nonlinearity, 27, № 6, 1105–1133 (2014). DOI: https://doi.org/10.1088/0951-7715/27/6/1105
15. D. Finkelshtein, Yu. Kondratiev, E. Lytvynov, M. J. Oliveira, An infinite dimensional umbral calculus, J. Funct. Anal., 276, № 12, 3714–3766 (2019). DOI: https://doi.org/10.1016/j.jfa.2019.03.006
16. D. Finkelshtein, Yu. Kondratiev, E. Lytvynov, M. J. Oliveira, Stirling operators in spatial combinatorics, J. Funct. Anal., 282, № 2, Article 109285 (2022). DOI: https://doi.org/10.1016/j.jfa.2021.109285
17. A. N. Kochubei, Yu. Kondratiev, Representations of the infinite-dimensional $p$-adic affine group, Infin. Dimens. Anal. Quantum Probab. and Relat. Top., 23, № 1, Article 2050002 (2020). DOI: https://doi.org/10.1142/S0219025720500022
18. A. N. Kochubei, Yu. Kondratiev, J. L. da Silva, On fractional heat equation, Fract. Calc. and Appl. Anal., 24, № 1, 73–87 (2021). DOI: https://doi.org/10.1515/fca-2021-0004
19. Yu. G. Kondrat'ev, Positive definite functions on certain sequence spaces, Ukr. Mat. Zh., 28, № 1, 27–35 (1976). DOI: https://doi.org/10.1007/BF01559223
20. Yu. G. Kondrat'ev, Yu. S. Samoilenko, Integral representation of generalized positive definite kernels of an infinite number of variables, Dokl. Akad. Nauk SSSR, 227, № 4, 800–803 (1976).
21. Yu. G. Kondrat'ev, Perturbation of operators of second quantization, Funktsional. Anal. i Prilozhen., 16, № 4, 76–77 (1982).
22. Yu. G. Kondrat'ev, Construction of the dynamics of quantum lattice systems, Dokl. Akad. Nauk SSSR, 283, № 1, 82–85 (1985).
23. Yu. G. Kondrat'ev, V. D. Koshmanenko, The scattering problem for operators associated with Dirichlet forms, Dokl. Akad. Nauk SSSR, 267, № 2, 285–288 (1982).
24. Yu. G. Kondrat'ev, Yu. S. Samoylenko, The spaces of trial and generalized functions of infinite number of variables, Rep. Math. Phys., 14, № 3, 325–350 (1978). DOI: https://doi.org/10.1016/0034-4877(78)90005-8
25. Yu. G. Kondrat'ev, T. V. Tsikalenko, Infinite-dimensional hyperbolic equations corresponding to {D}irichlet operators, Dokl. Akad. Nauk SSSR, 288, № 4, 814–817 (1986).
26. Yu. Kondratiev, O. Kutoviy, R. Minlos, Ergodicity of non-equilibrium Glauber dynamics in continuum, J. Funct. Anal., 258, № 9, 3097–3116 (2010). DOI: https://doi.org/10.1016/j.jfa.2009.09.005
27. Yu. Kondratiev, Yu. Mishura, J. L. da Silva, Perpetual integral functionals of multidimensional stochastic processes, Stochastics, 93, № 8, 1249–1260 (2021). DOI: https://doi.org/10.1080/17442508.2021.1900185
28. Yu. Kondratiev, Yu. Mishura, R. L. Schilling, Asymptotic behaviour and functional limit theorems for a time changed Wiener process, Statist. Probab. Lett., 170, Article 108997 (2021). DOI: https://doi.org/10.1016/j.spl.2020.108997
29. Yu. Kondratiev, Yu. Mishura, G. Shevchenko, Limit theorems for additive functionals of continuous time random walks, Proc. Roy. Soc. Edinburgh Sect. A, 151, № 2, 799–820 (2021). DOI: https://doi.org/10.1017/prm.2020.33
30. Yu. Kondratiev, S. Molchanov, A. Piatnitski, E. Zhizhina, Resolvent bounds for jump generators, Appl. Anal., 97, № 3, 323–336 (2018). DOI: https://doi.org/10.1080/00036811.2016.1263838
31. Yu. Kondratiev, S. Molchanov, B. Vainberg, Spectral analysis of non-local Schrödinger operators, J. Funct. Anal., 273, № 3, 1020–1048 (2017). DOI: https://doi.org/10.1016/j.jfa.2017.04.006
32. Yu. G. Kondratiev, J. L. da Silva, L. Streit, G. F. Us, Analysis on Poisson and gamma spaces, Infin. Dimens. Anal. Quantum Probab. and Relat. Top., 1, № 1, 91–117 (1998). DOI: https://doi.org/10.1142/S0219025798000089
33. Yu. G. Kondratiev, T. Kuna, Harmonic analysis on configuration space. I. General theory, Infin. Dimens. Anal. Quantum Probab. and Relat. Top., 5, № 2, 201–233 (2002). DOI: https://doi.org/10.1142/S0219025702000833
34. Yu. G. Kondratiev, T. Kuna, M. J. Oliveira, On the relations between Poissonian white noise analysis and harmonic analysis on configuration spaces, J. Funct. Anal., 213, № 1, 1–30 (2004). DOI: https://doi.org/10.1016/j.jfa.2004.04.010
35. Yu. G. Kondratiev, T. Kuna, M. J. Oliveira, Holomorphic Bogoliubov functionals for interacting particle systems in continuum, J. Funct. Anal., 238, № 2, 375–404 (2006). DOI: https://doi.org/10.1016/j.jfa.2006.06.001
36. Yu. G. Kondratiev, E. W. Lytvynov, Operators of gamma white noise calculus, Infin. Dimens. Anal. Quantum Probab. and Relat. Top., 3, № 3, 303–335 (2000). DOI: https://doi.org/10.1142/S0219025700000236
37. Yu. G. Kondratiev, L. Streit, W. Westerkamp, J.-A. Yan, Generalized functions in infinite-dimensional analysis, Hiroshima Math. J., 28, № 2, 213–260 (1998). DOI: https://doi.org/10.32917/hmj/1206126760
38. Ю. М. Березанский, Ю. Г. Кондратьев, Спектральные методы в бесконечномерном анализе, Наукова думка, Киев (1988).
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