D. Ya. Petrina

680 total citations
48 papers, 340 citations indexed

About

D. Ya. Petrina is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Applied Mathematics. According to data from OpenAlex, D. Ya. Petrina has authored 48 papers receiving a total of 340 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Statistical and Nonlinear Physics, 14 papers in Atomic and Molecular Physics, and Optics and 14 papers in Applied Mathematics. Recurrent topics in D. Ya. Petrina's work include Advanced Thermodynamics and Statistical Mechanics (14 papers), Mathematical Biology Tumor Growth (9 papers) and Gas Dynamics and Kinetic Theory (9 papers). D. Ya. Petrina is often cited by papers focused on Advanced Thermodynamics and Statistical Mechanics (14 papers), Mathematical Biology Tumor Growth (9 papers) and Gas Dynamics and Kinetic Theory (9 papers). D. Ya. Petrina collaborates with scholars based in Czechia, Ukraine and Italy. D. Ya. Petrina's co-authors include V. I. Gerasimenko, C. Cercignani, N. N. Bogolyubov, Stanislav Ivanov, E. D. Belokolos, Maria Lampis, Yu. A. Mitropol’skii, А. М. Самойленко and V. S. Vladimirov and has published in prestigious journals such as Russian Mathematical Surveys, Theoretical and Mathematical Physics and Ukrainian Mathematical Journal.

In The Last Decade

D. Ya. Petrina

33 papers receiving 237 citations

Peers

D. Ya. Petrina

SNP

AMPO

CMP

V. I. Gerasimenko Ukraine

S. Caprino Italy

Giada Basile Italy

Maria C. Carvalho United States

Naeem Ullah Pakistan

Maria G. Reznikoff Germany

Ester Gabetta Italy

Robert Buckingham United States

Federico Bonetto United States

Luciano C. Lapas Brazil

V. I. Gerasimenko Ukraine

D. Ya. Petrina

100 ×0.7

SNP

112 ×1.0

AMPO

65 ×0.7

87 ×1.3

14 ×0.3

CMP

Citations per year, relative to D. Ya. Petrina D. Ya. Petrina (= 1×) peers V. I. Gerasimenko

Countries citing papers authored by D. Ya. Petrina

Since Specialization

Citations

This map shows the geographic impact of D. Ya. Petrina's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by D. Ya. Petrina with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites D. Ya. Petrina more than expected).

Fields of papers citing papers by D. Ya. Petrina

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. Ya. Petrina. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by D. Ya. Petrina. The network helps show where D. Ya. Petrina may publish in the future.

Co-authorship network of co-authors of D. Ya. Petrina

This figure shows the co-authorship network connecting the top 25 collaborators of D. Ya. Petrina. A scholar is included among the top collaborators of D. Ya. Petrina based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with D. Ya. Petrina. D. Ya. Petrina is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Petrina, D. Ya.. (2008). Spectrum and states of the BCS Hamiltonian with sources. Ukrainian Mathematical Journal. 60(9). 1448–1476. 2 indexed citations

Petrina, D. Ya., et al.. (2006). Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions. Ukrainian Mathematical Journal. 58(3). 418–429. 1 indexed citations

Petrina, D. Ya., et al.. (2005). Analog of the Liouville Equation and BBGKY Hierarchy for a System of Hard Spheres with Inelastic Collisions. Ukrainian Mathematical Journal. 57(6). 967–990. 2 indexed citations

Petrina, D. Ya.. (2003). Equilibrium and Nonequilibrium States of the Model Fröhlich–Peierls Hamiltonian. Ukrainian Mathematical Journal. 55(8). 1295–1313. 3 indexed citations

Petrina, D. Ya.. (2003). Model BCS Hamiltonian and Approximating Hamiltonian in the Case of Infinite Volume. IV. Two Branches of Their Common Spectra and States. Ukrainian Mathematical Journal. 55(2). 212–240. 3 indexed citations

Petrina, D. Ya.. (2003). States of Infinite Equilibrium Classical Systems. Ukrainian Mathematical Journal. 55(3). 468–480.

Petrina, D. Ya.. (2002). Spectrum and States of the BCS Hamiltonian in a Finite Domain. III. BCS Hamiltonian with Mean-Field Interaction. Ukrainian Mathematical Journal. 54(11). 1802–1824. 4 indexed citations

Petrina, D. Ya., et al.. (2002). Mathematical Foundations of Classical Statistical Mechanics. 21 indexed citations

Lampis, Maria, et al.. (1999). Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres. Ukrainian Mathematical Journal. 51(5). 614–635. 2 indexed citations

10.

Lampis, Maria, et al.. (1999). Stochastic dynamics as a limit of Hamiltonian dynamics of hard spheres. Ukrainian Mathematical Journal. 51(5). 684–706. 2 indexed citations

11.

Petrina, D. Ya., et al.. (1998). Stochastic dynamics and Boltzmann hierarchy. II. Ukrainian Mathematical Journal. 50(3). 425–441.

12.

Mitropol’skii, Yu. A. & D. Ya. Petrina. (1993). On N. N. Bogolyubov's works in classical and quantum statistical mechanics. Ukrainian Mathematical Journal. 45(2). 171–214.

13.

Belokolos, E. D. & D. Ya. Petrina. (1984). Connection between the approximating Hamiltonian method and theta-function integration. Theoretical and Mathematical Physics. 58(1). 40–46. 5 indexed citations

14.

Petrina, D. Ya., et al.. (1980). Projection-iteration method of solution of the equations of quantum field theory and its connection with the theory of renormalization. The equations of quantum field theory and improperly posed problems of mathematical physics. Theoretical and Mathematical Physics. 42(2). 110–120. 3 indexed citations

15.

Petrina, D. Ya.. (1979). Mathematical description of the evolution of infinite systems of classical statistical physics. I. Locally perturbed one-dimensional systems. Theoretical and Mathematical Physics. 38(2). 153–166. 12 indexed citations

16.

Petrina, D. Ya., et al.. (1976). The Cauchy problem for a chain of Bogolyubov equations. SPhD. 21. 259. 1 indexed citations

17.

Petrina, D. Ya., et al.. (1972). On the model Hamiltonian of the theory of superconductivity. Theoretical and Mathematical Physics. 10(2). 189–200. 6 indexed citations

18.

Petrina, D. Ya.. (1969). Completeness of perturbation theory amplitudes in amplitude space. Ukrainian Mathematical Journal. 19(3). 298–312.

19.

Petrina, D. Ya.. (1964). THE MANDELSTAM REPRESENTATION AND THE CONTINUITY THEOREM. 1 indexed citations

20.

Petrina, D. Ya.. (1963). Analytic Properties of Contributions from Feynman Diagrams. Soviet physics. Doklady. 8. 341. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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