Publications

Matching entries: 0
settings...
Finkelshtein D, Kondratiev Y, Lytvynov E and Oliveira MJ (2019), "An infinite dimensional umbral calculus", Journal of Functional Analysis., June, 2019. Vol. 276(12), pp. 3714-3766. Elsevier BV.
BibTeX:
@article{FKLO2019,
  author = {Finkelshtein, Dmitri and Kondratiev,Yuri and Lytvynov,Eugene and Oliveira, Maria João},
  title = {An infinite dimensional umbral calculus},
  journal = {Journal of Functional Analysis},
  publisher = {Elsevier BV},
  year = {2019},
  volume = {276},
  number = {12},
  pages = {3714-3766},
  url = {https://doi.org/10.1016/j.jfa.2019.03.006},
  doi = {10.1016/j.jfa.2019.03.006}
}
Finkelshtein D, Kondratiev Y and Tkachov P (2019), "Existence and properties of traveling waves for doubly nonlocal Fisher--KPP equations", Electronic Journal of Differential Equations. Vol. 2019(10), pp. 1-27.
BibTeX:
@article{FKT100-1,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Tkachov, Pasha},
  title = {Existence and properties of traveling waves for doubly nonlocal Fisher--KPP equations},
  journal = {Electronic Journal of Differential Equations},
  year = {2019},
  volume = {2019},
  number = {10},
  pages = {1--27},
  url = {https://ejde.math.txstate.edu/Volumes/2019/10/abstr.html}
}
Finkelshtein D, Kondratiev Y and Tkachov P (2019), "Doubly nonlocal Fisher--KPP equation: Speeds and uniqueness of traveling waves", Journal of Mathematical Analysis and Applications. Vol. 475(1), pp. 94-122.
BibTeX:
@article{FKT100-2,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Tkachov, Pasha},
  title = {Doubly nonlocal Fisher--KPP equation: Speeds and uniqueness of traveling waves},
  journal = {Journal of Mathematical Analysis and Applications},
  year = {2019},
  volume = {475},
  number = {1},
  pages = {94--122},
  url = {https://doi.org/10.1016/j.jmaa.2019.02.010},
  doi = {10.1016/j.jmaa.2019.02.010}
}
Finkelshtein D, Kondratiev Y and Tkachov P (2019), "Doubly nonlocal Fisher--KPP equation: Front propagation", Applicable Analysis.
BibTeX:
@article{FKT100-3,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Tkachov, Pasha},
  title = {Doubly nonlocal Fisher--KPP equation: Front propagation},
  journal = {Applicable Analysis},
  year = {2019},
  note = {(accepted)}
}
Finkelshtein D and Tkachov P (2019), "An Ikehara-type theorem for functions convergent to zero", Comptes Rendus Mathematique., April, 2019. Vol. 357(4), pp. 333-338.
BibTeX:
@article{FKT100-4,
  author = {Finkelshtein, Dmitri and Tkachov, Pasha},
  title = {An Ikehara-type theorem for functions convergent to zero},
  journal = {Comptes Rendus Mathematique},
  year = {2019},
  volume = {357},
  number = {4},
  pages = {333--338},
  url = {https://doi.org/10.1016/j.crma.2019.04.007},
  doi = {10.1016/j.crma.2019.04.007}
}
Finkelshtein D and Tkachov P (2019), "Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line", Applicable Analysis. Vol. 98(4), pp. 756-780.
BibTeX:
@article{FT2017c,
  author = {Finkelshtein, Dmitri and Tkachov, Pasha},
  title = {Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line},
  journal = {Applicable Analysis},
  year = {2019},
  volume = {98},
  number = {4},
  pages = {756--780},
  url = {http://dx.doi.org/10.1080/00036811.2017.1400537},
  doi = {10.1080/00036811.2017.1400537}
}
Daletskii A and Finkelshtein D (2018), "Non-equilibrium Particle Dynamics with Unbounded Number of Interacting Neighbors", J. Statistical Physics. Vol. 173(6), pp. 1639-1659.
BibTeX:
@article{DF2018,
  author = {Daletskii, Alexei and Finkelshtein, Dmitri},
  title = {Non-equilibrium Particle Dynamics with Unbounded Number of Interacting Neighbors},
  journal = {J. Statistical Physics},
  year = {2018},
  volume = {173},
  number = {6},
  pages = {1639--1659},
  url = {https://doi.org/10.1007/s10955-018-2159-x},
  doi = {10.1007/s10955-018-2159-x}
}
Finkelshtein D, Kondratiev Y, Molchanov S and Tkachov P (2018), "Global stability in a nonlocal reaction-diffusion equation", Stochastic and Dynamics. Vol. 18(5), pp. 1850037 (15 pages).
BibTeX:
@article{FKMT2017,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Molchanov, Stanislav and Tkachov, Pasha},
  title = {Global stability in a nonlocal reaction-diffusion equation},
  journal = {Stochastic and Dynamics},
  year = {2018},
  volume = {18},
  number = {5},
  pages = {1850037 (15 pages)},
  url = {https://doi.org/10.1142/S0219493718500375},
  doi = {10.1142/S0219493718500375}
}
Finkelshtein D and Tkachov P (2018), "The hair-trigger effect for a class of nonlocal nonlinear equations", Nonlinearity., April, 2018. Vol. 31(6), pp. 2442-2479. IOP Publishing.
BibTeX:
@article{FT2017a,
  author = {Finkelshtein, Dmitri and Tkachov, Pasha},
  title = {The hair-trigger effect for a class of nonlocal nonlinear equations},
  journal = {Nonlinearity},
  publisher = {IOP Publishing},
  year = {2018},
  volume = {31},
  number = {6},
  pages = {2442--2479},
  url = {http://iopscience.iop.org/article/10.1088/1361-6544/aab1cb/meta},
  doi = {10.1088/1361-6544/aab1cb}
}
Finkelshtein D and Tkachov P (2018), "Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues", Advances in Applied Probability. Vol. 50(2), pp. 373-395.
BibTeX:
@article{FT2017b,
  author = {Finkelshtein, Dmitri and Tkachov, Pasha},
  title = {Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues},
  journal = {Advances in Applied Probability},
  year = {2018},
  volume = {50},
  number = {2},
  pages = {373-395},
  url = {https://doi.org/10.1017/apr.2018.18},
  doi = {10.1017/apr.2018.18}
}
Finkelshtein D, Friesen M, Hatzikirou H, Kondratiev Y, Krueger T and Kutoviy O (2015), "Stochastic models of tumour development and related mesoscopic equations", Interdisciplinary Studies of Complex Systems. Vol. 7, pp. 5-85.
BibTeX:
@article{FFHetc2016,
  author = {Finkelshtein, D. and Friesen, M. and Hatzikirou, H. and Kondratiev, Yu. and Krueger, T. and Kutoviy O.},
  title = {Stochastic models of tumour development and related mesoscopic equations},
  journal = {Interdisciplinary Studies of Complex Systems},
  year = {2015},
  volume = {7},
  pages = {5--85}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2015), "Statistical dynamics of continuous systems: perturbative and approximative approaches", Arab. J. Math.. Vol. 4(4), pp. 255-300.
BibTeX:
@article{FKK2014,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Ole},
  title = {Statistical dynamics of continuous systems: perturbative and approximative approaches},
  journal = {Arab. J. Math.},
  year = {2015},
  volume = {4},
  number = {4},
  pages = {255--300},
  doi = {10.1007/s40065-014-0111-8}
}
Finkelshtein D, Kondratiev Y, Kutoviy O and Oliveira MJ (2015), "Dynamical Widom--Rowlinson model and its mesoscopic limit", J. Stat. Phys.. Vol. 158(1), pp. 57-86.
BibTeX:
@article{FKKO2014,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr and Oliveira, Maria Joao},
  title = {Dynamical Widom--Rowlinson model and its mesoscopic limit},
  journal = {J. Stat. Phys.},
  year = {2015},
  volume = {158},
  number = {1},
  pages = {57--86},
  doi = {10.1007/s10955-014-1124-6}
}
Finkelshtein D, Kondratiev Y, Kozitsky Y and Kutoviy O (2015), "The statistical dynamics of a spatial logistic model and the related kinetic equation", Math. Models Methods Appl. Sci.. Vol. 25(2), pp. 343-370.
BibTeX:
@article{FKKozK2014,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kozitsky, Yuri and Kutoviy, Oleksandr},
  title = {The statistical dynamics of a spatial logistic model and the related kinetic equation},
  journal = {Math. Models Methods Appl. Sci.},
  year = {2015},
  volume = {25},
  number = {2},
  pages = {343--370},
  doi = {10.1142/S0218202515500128}
}
Finkelshtein D, Kondratiev Y, Kutoviy O, Molchanov S and Zhizhina E (2014), "Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates", Russ. J. Math. Phys.. Vol. 21(4), pp. 450-459.
BibTeX:
@article{FKKMZ2013,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr and Molchanov, Stas and Zhizhina, Elena},
  title = {Density behavior of spatial birth-and-death stochastic evolution of mutating genotypes under selection rates},
  journal = {Russ. J. Math. Phys.},
  year = {2014},
  volume = {21},
  number = {4},
  pages = {450--459}
}
Finkelshtein D, Kondratiev Y, Kutoviy O and Zhizhina E (2014), "On an aggregation in birth-and-death stochastic dynamics", Nonlinearity. Vol. 27, pp. 1105-1133.
BibTeX:
@article{FKKZ2014,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr and Zhizhina, Elena},
  title = {On an aggregation in birth-and-death stochastic dynamics},
  journal = {Nonlinearity},
  year = {2014},
  volume = {27},
  pages = {1105--1133},
  doi = {10.1088/0951-7715/27/6/1105}
}
Finkelshtein D and Oliveira MJ (2014), "A survey on Bogoliubov generating functionals for interacting particle systems in the continuum", In From Particle Systems to Partial Differential Equations. Vol. 75, pp. 161-177. Springer-Verlag Berlin Heidelberg.
BibTeX:
@incollection{FO2014,
  author = {Finkelshtein, Dmitri and Oliveira, Maria Joao},
  editor = {C. Bernardin and P. Gonçalves},
  title = {A survey on Bogoliubov generating functionals for interacting particle systems in the continuum},
  booktitle = {From Particle Systems to Partial Differential Equations},
  publisher = {Springer-Verlag Berlin Heidelberg},
  year = {2014},
  volume = {75},
  pages = {161--177}
}
Ovaskainen O, Finkelshtein D, Kutoviy O, Cornell S, Bolker B and Kondratiev Y (2014), "A mathematical framework for the analysis of spatial-temporal point processes", Theoretical Ecology. Vol. 7(1), pp. 101-113.
BibTeX:
@article{OFKCBK2014,
  author = {Ovaskainen, Otso and Finkelshtein, Dmitri and Kutoviy, Oleksandr and Cornell, Stephen and Bolker, Ben and Kondratiev, Yuri},
  title = {A mathematical framework for the analysis of spatial-temporal point processes},
  journal = {Theoretical Ecology},
  year = {2014},
  volume = {7},
  number = {1},
  pages = {101--113},
  doi = {10.1007/s12080-013-0202-8}
}
Finkelshtein D (2013), "On convolutions on configuration spaces. II. Spaces of locally finite configurations.", Ukrainian Math. J.. Vol. 64(12), pp. 1919-1944.
BibTeX:
@article{Fin2012b,
  author = {Finkelshtein, Dmitri},
  title = {On convolutions on configuration spaces. II. Spaces of locally finite configurations.},
  journal = {Ukrainian Math. J.},
  year = {2013},
  volume = {64},
  number = {12},
  pages = {1919--1944}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2013), "An operator approach to Vlasov scaling for some models of spatial ecology", Methods Funct. Anal. Topology. Vol. 19(2), pp. 108-126.
BibTeX:
@article{FKK2010c,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {An operator approach to Vlasov scaling for some models of spatial ecology},
  journal = {Methods Funct. Anal. Topology},
  year = {2013},
  volume = {19},
  number = {2},
  pages = {108--126}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2013), "Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations", Infin. Dimens. Anal. Quantum Probab. Relat. Top.. Vol. 16(2), pp. 1350014 (24 pages).
BibTeX:
@article{FKK2011c,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {Establishment and fecundity in spatial ecological models: statistical approach and kinetic equations},
  journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
  year = {2013},
  volume = {16},
  number = {2},
  pages = {1350014 (24 pages)},
  doi = {10.1142/S0219025713500148}
}
Finkelshtein D, Kondratiev Y and Kozitsky Y (2013), "Glauber dynamics in continuum: a constructive approach to evolution of states", Discrete and Cont. Dynam. Syst. - Ser A.., 4, 2013. Vol. 33(4), pp. 1431-1450.
BibTeX:
@article{FKKoz2011,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kozitsky, Yuri},
  title = {Glauber dynamics in continuum: a constructive approach to evolution of states},
  journal = {Discrete and Cont. Dynam. Syst. - Ser A.},
  year = {2013},
  volume = {33},
  number = {4},
  pages = {1431--1450},
  doi = {10.3934/dcds.2013.33.1431}
}
Finkelshtein D, Kondratiev Y, Kozitsky Y and Kutoviy O (2013), "Stochastic evolution of a continuum particle system with dispersal and competition: Micro- and mesoscopic description", The European Physical Journal Special Topics. Vol. 216(1), pp. 107-116.
BibTeX:
@article{FKKozK2012b,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kozitsky, Yuri and Kutoviy, Oleksandr},
  title = {Stochastic evolution of a continuum particle system with dispersal and competition: Micro- and mesoscopic description},
  journal = {The European Physical Journal Special Topics},
  year = {2013},
  volume = {216},
  number = {1},
  pages = {107--116}
}
Finkelshtein D, Kondratiev Y and Oliveira MJ (2013), "Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems", Reports Math. Phys.. Vol. 71(1), pp. 123-148.
BibTeX:
@article{FKO2011c,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Oliveira, Maria Jo ao},
  title = {Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems},
  journal = {Reports Math. Phys.},
  year = {2013},
  volume = {71},
  number = {1},
  pages = {123--148},
  doi = {10.1016/S0034-4877(13)60024-5}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2012), "Correlation functions evolution for the Glauber dynamics in continuum", Semigroup Forum. Vol. 85, pp. 289-306.
BibTeX:
@article{FKK2010,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {Correlation functions evolution for the Glauber dynamics in continuum},
  journal = {Semigroup Forum},
  year = {2012},
  volume = {85},
  pages = {289--306},
  doi = {10.1007/s00233-012-9409-z}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2012), "Semigroup approach to birth-and-death stochastic dynamics in continuum", J. Funct. Anal.. Vol. 262(3), pp. 1274-1308.
BibTeX:
@article{FKK2011a,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {Semigroup approach to birth-and-death stochastic dynamics in continuum},
  journal = {J. Funct. Anal.},
  year = {2012},
  volume = {262},
  number = {3},
  pages = {1274--1308},
  doi = {10.1016/j.jfa.2011.11.005}
}
Finkelshtein D, Kondratiev Y, Kutoviy O and Zhizhina E (2012), "An approximative approach for construction of the Glauber dynamics in continuum", Math. Nachr.. Vol. 285(2-3), pp. 223-235.
BibTeX:
@article{FKKZ2010,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr and Zhizhina, Elena},
  title = {An approximative approach for construction of the Glauber dynamics in continuum},
  journal = {Math. Nachr.},
  year = {2012},
  volume = {285},
  number = {2--3},
  pages = {223--235},
  doi = {10.1002/mana.200910248}
}
Finkelshtein D, Kondratiev Y and Oliveira MJ (2012), "Glauber dynamics in the continuum via generating functionals evolution", Complex Analysis and Operator Theory. Vol. 6(4), pp. 923-945.
BibTeX:
@article{FKO2011a,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Oliveira, Maria Joao},
  title = {Glauber dynamics in the continuum via generating functionals evolution},
  journal = {Complex Analysis and Operator Theory},
  year = {2012},
  volume = {6},
  number = {4},
  pages = {923--945},
  doi = {10.1007/s11785-011-0170-1}
}
Finkelshtein D, Kondratiev Y and Oliveira MJ (2012), "Kawasaki dynamics in the continuum via generating functionals evolution", Methods Funct. Anal. Topology. Vol. 18(1), pp. 55-67.
BibTeX:
@article{FKO2011b,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Oliveira, Maria Joao},
  title = {Kawasaki dynamics in the continuum via generating functionals evolution},
  journal = {Methods Funct. Anal. Topology},
  year = {2012},
  volume = {18},
  number = {1},
  pages = {55--67}
}
Finkelshtein D (2011), "Functional evolutions for homogeneous stationary death-immigration spatial dynamics", Methods Funct. Anal. Topology. Vol. 17(4), pp. 300-318.
BibTeX:
@article{Fin2010Surg,
  author = {Finkelshtein, Dmitri},
  title = {Functional evolutions for homogeneous stationary death-immigration spatial dynamics},
  journal = {Methods Funct. Anal. Topology},
  year = {2011},
  volume = {17},
  number = {4},
  pages = {300--318}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2011), "Vlasov scaling for the Glauber dynamics in continuum", Infin. Dimens. Anal. Quantum Probab. Relat. Top.. Vol. 14(4), pp. 537-569.
BibTeX:
@article{FKK2010b,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {Vlasov scaling for the Glauber dynamics in continuum},
  journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
  year = {2011},
  volume = {14},
  number = {4},
  pages = {537--569},
  doi = {10.1142/S021902571100450X}
}
Finkelshtein D, Kondratiev Y, Kutoviy O and Lytvynov E (2011), "Binary jumps in continuum. I. Equilibrium processes and their scaling limits", J. Math. Phys.. Vol. 52, pp. 063304:1-25.
BibTeX:
@article{FKKL2011a,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr and Lytvynov, Eugene},
  title = {Binary jumps in continuum. I. Equilibrium processes and their scaling limits},
  journal = {J. Math. Phys.},
  year = {2011},
  volume = {52},
  pages = {063304:1--25},
  doi = {10.1063/1.3601118}
}
Finkelshtein D, Kondratiev Y, Kutoviy O and Lytvynov E (2011), "Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit", J. Math. Phys.. Vol. 52, pp. 113301:1-27.
BibTeX:
@article{FKKL2011b,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr and Lytvynov, Eugene},
  title = {Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit},
  journal = {J. Math. Phys.},
  year = {2011},
  volume = {52},
  pages = {113301:1--27},
  doi = {10.1063/1.3657345}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2010), "Vlasov scaling for stochastic dynamics of continuous systems", J. Stat. Phys.. Vol. 141(1), pp. 158-178.
BibTeX:
@article{FKK2010a,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {Vlasov scaling for stochastic dynamics of continuous systems},
  journal = {J. Stat. Phys.},
  year = {2010},
  volume = {141},
  number = {1},
  pages = {158--178},
  doi = {10.1007/s10955-010-0038-1}
}
Finkelshtein D (2009), "Measures on two-component configuration spaces", Condensed Matter Physics. Vol. 12(1), pp. 5-18.
BibTeX:
@article{Fin2009,
  author = {Finkelshtein, Dmitri},
  title = {Measures on two-component configuration spaces},
  journal = {Condensed Matter Physics},
  year = {2009},
  volume = {12},
  number = {1},
  pages = {5--18}
}
Finkelshtein D and Kondratiev Y (2009), "Regulation mechanisms in spatial stochastic development models", J. Stat. Phys.. Vol. 136(1), pp. 103-115.
BibTeX:
@article{FK2009,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri},
  title = {Regulation mechanisms in spatial stochastic development models},
  journal = {J. Stat. Phys.},
  year = {2009},
  volume = {136},
  number = {1},
  pages = {103--115},
  doi = {10.1007/s10955-009-9764-7}
}
Finkelshtein D, Kondratiev Y and Kutoviy O (2009), "Individual based model with competition in spatial ecology", SIAM J. Math. Anal.. Vol. 41(1), pp. 297-317.
BibTeX:
@article{FKK2009,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Kutoviy, Oleksandr},
  title = {Individual based model with competition in spatial ecology},
  journal = {SIAM J. Math. Anal.},
  year = {2009},
  volume = {41},
  number = {1},
  pages = {297--317},
  doi = {10.1137/080719376}
}
Finkelshtein D, Kondratiev Y and Oliveira MJ (2009), "Markov evolutions and hierarchical equations in the continuum. I. One-component systems", J. Evol. Equ.. Vol. 9(2), pp. 197-233.
BibTeX:
@article{FKO2009,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Oliveira, Maria Jo ao},
  title = {Markov evolutions and hierarchical equations in the continuum. I. One-component systems},
  journal = {J. Evol. Equ.},
  year = {2009},
  volume = {9},
  number = {2},
  pages = {197--233},
  doi = {10.1007/s00028-009-0007-9}
}
Finkelshtein D, Kondratiev Y and Lytvynov E (2007), "Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics", Random Oper. Stoch. Equ.. Vol. 15(2), pp. 105-126.
BibTeX:
@article{FKL2007,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Lytvynov, Eugene},
  title = {Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics},
  journal = {Random Oper. Stoch. Equ.},
  year = {2007},
  volume = {15},
  number = {2},
  pages = {105--126},
  doi = {10.1515/rose.2007.007}
}
Finkelshtein D and Kondratiev Y (2005), "Measures on configuration spaces defined by relative energies", Methods Funct. Anal. Topology. Vol. 11(2), pp. 126-155.
BibTeX:
@article{FK2005,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri},
  title = {Measures on configuration spaces defined by relative energies},
  journal = {Methods Funct. Anal. Topology},
  year = {2005},
  volume = {11},
  number = {2},
  pages = {126--155}
}
Finkelshtein D (2004), "The spectral gap inequality in configuration spaces and the concentration properties of a Poisson measure", Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki. (3), pp. 30-36.
BibTeX:
@article{Fin2004,
  author = {Finkelshtein, Dmitri},
  title = {The spectral gap inequality in configuration spaces and the concentration properties of a Poisson measure},
  journal = {Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki},
  year = {2004},
  number = {3},
  pages = {30--36}
}
Finkelshtein D (2004), "Second order differential operators on the configuration spaces", In Symmetry in nonlinear mathematical physics. Part 1, 2, 3. Kiev Vol. 2, pp. 1301-1307. Nats\i onal. Akad. Nauk Ukra\i ni Īnst. Mat..
BibTeX:
@incollection{Fin2004a,
  author = {Finkelshtein, Dmitri},
  title = {Second order differential operators on the configuration spaces},
  booktitle = {Symmetry in nonlinear mathematical physics. Part 1, 2, 3},
  publisher = {Nats\i onal. Akad. Nauk Ukra\i ni Īnst. Mat.},
  year = {2004},
  volume = {2},
  pages = {1301--1307}
}
Finkelshtein D (2003), "Spectral gap inequalities on configuration spaces", Methods Funct. Anal. Topology. Vol. 9(1), pp. 1-8.
BibTeX:
@article{Fin2003,
  author = {Finkelshtein, Dmitri},
  title = {Spectral gap inequalities on configuration spaces},
  journal = {Methods Funct. Anal. Topology},
  year = {2003},
  volume = {9},
  number = {1},
  pages = {1--8}
}
Finkelshtein D, Kondratiev Y, Röckner M and Konstantinov A (2001), "Gauss formula and symmetric extensions of the Laplacian on configuration spaces", Infin. Dimens. Anal. Quantum Probab. Relat. Top.. Vol. 4(4), pp. 489-509.
BibTeX:
@article{FKRK2001,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Röckner, Michael and Konstantinov, Alexei},
  title = {Gauss formula and symmetric extensions of the Laplacian on configuration spaces},
  journal = {Infin. Dimens. Anal. Quantum Probab. Relat. Top.},
  year = {2001},
  volume = {4},
  number = {4},
  pages = {489--509},
  doi = {10.1142/S0219025701000656}
}
Finkelshtein D, Kondratiev Y, Konstantinov A and Röckner M (2000), "Symmetric differential operators of the second order in Poisson spaces", Methods Funct. Anal. Topology. Vol. 6(4), pp. 14-25.
BibTeX:
@article{FKKR2000,
  author = {Finkelshtein, Dmitri and Kondratiev, Yuri and Konstantinov, Alexei and Röckner, Michael},
  title = {Symmetric differential operators of the second order in Poisson spaces},
  journal = {Methods Funct. Anal. Topology},
  year = {2000},
  volume = {6},
  number = {4},
  pages = {14--25}
}
Finkelshtein D and Us G (1998), "On exponential model of Poisson spaces", Methods Funct. Anal. Topology. Vol. 4(4), pp. 5-21.
BibTeX:
@article{FU1998,
  author = {Finkelshtein, Dmitri and Us, Georgi},
  title = {On exponential model of Poisson spaces},
  journal = {Methods Funct. Anal. Topology},
  year = {1998},
  volume = {4},
  number = {4},
  pages = {5--21}
}