A. Yu. Khrennikov

533 total citations
38 papers, 291 citations indexed

About

A. Yu. Khrennikov is a scholar working on Mathematical Physics, Atomic and Molecular Physics, and Optics and Computational Theory and Mathematics. According to data from OpenAlex, A. Yu. Khrennikov has authored 38 papers receiving a total of 291 indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 11 papers in Atomic and Molecular Physics, and Optics and 9 papers in Computational Theory and Mathematics. Recurrent topics in A. Yu. Khrennikov's work include advanced mathematical theories (28 papers), Quantum Mechanics and Applications (11 papers) and Mathematical and Theoretical Analysis (8 papers). A. Yu. Khrennikov is often cited by papers focused on advanced mathematical theories (28 papers), Quantum Mechanics and Applications (11 papers) and Mathematical and Theoretical Analysis (8 papers). A. Yu. Khrennikov collaborates with scholars based in Russia, Sweden and Germany. A. Yu. Khrennikov's co-authors include С. В. Козырев, V. M. Shelkovich, Sergio Albeverio, Håkan Petersson, S. Albeverio, O. G. Smolyanov, Roberto Cianci and J. Wood and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Mathematical Physics and Russian Mathematical Surveys.

In The Last Decade

A. Yu. Khrennikov

32 papers receiving 211 citations

Peers

A. Yu. Khrennikov
A. Yu. Khrennikov
Citations per year, relative to A. Yu. Khrennikov A. Yu. Khrennikov (= 1×) peers Andrei Khrennikov

Countries citing papers authored by A. Yu. Khrennikov

Since Specialization
Citations

This map shows the geographic impact of A. Yu. Khrennikov'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 A. Yu. Khrennikov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. Yu. Khrennikov more than expected).

Fields of papers citing papers by A. Yu. Khrennikov

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. Yu. Khrennikov. 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 A. Yu. Khrennikov. The network helps show where A. Yu. Khrennikov may publish in the future.

Co-authorship network of co-authors of A. Yu. Khrennikov

This figure shows the co-authorship network connecting the top 25 collaborators of A. Yu. Khrennikov. A scholar is included among the top collaborators of A. Yu. Khrennikov 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 A. Yu. Khrennikov. A. Yu. Khrennikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Khrennikov, A. Yu. & V. M. Shelkovich. (2008). Asymptotical behavior of one class of p-adic singular Fourier integrals. Journal of Mathematical Analysis and Applications. 350(1). 170–183. 1 indexed citations
2.
Khrennikov, A. Yu.. (2007). Quantum mechanics as the quadratic Taylor approximation of classical mechanics: The finite-dimensional case. Theoretical and Mathematical Physics. 152(2). 1111–1121. 4 indexed citations
3.
Khrennikov, A. Yu. & V. M. Shelkovich. (2006). Tauberian theorems forp-adic distributions. Integral Transforms and Special Functions. 17(2-3). 141–147. 1 indexed citations
4.
Khrennikov, A. Yu.. (2006). On the algebraic aspect of singular solutions to conservation laws systems. AIP conference proceedings. 834. 206–213. 2 indexed citations
5.
Khrennikov, A. Yu. & V. M. Shelkovich. (2006). Distributional asymptotics and p-adic Tauberian and Shannon–Kotelnikov theorems. Asymptotic Analysis. 46(2). 163–187. 6 indexed citations
6.
Albeverio, Sergio, A. Yu. Khrennikov, & V. M. Shelkovich. (2005). Associated homogeneous p-adic distributions. Journal of Mathematical Analysis and Applications. 313(1). 64–83. 8 indexed citations
7.
Khrennikov, A. Yu.. (2003). Interference of probabilities and number field structure of quantum models. Annalen der Physik. 515(10). 575–585. 1 indexed citations
8.
Albeverio, Sergio, et al.. (2000). Finite-Dimensional Approximations of Operators in the Hilbert Spaces of Functions on Locally Compact Abelian Groups. Acta Applicandae Mathematicae. 64(1). 33–73. 10 indexed citations
9.
Khrennikov, A. Yu.. (1998). p-adic Behavior of Bernoulli Probabilities. Theory of Probability and Its Applications. 42(4). 689–694.
10.
Khrennikov, A. Yu., et al.. (1996). The non-Archimedian Laplace transform. Bulletin of the Belgian Mathematical Society - Simon Stevin. 3(2). 8 indexed citations
11.
Khrennikov, A. Yu., et al.. (1995). On the Annihilators of the p-adic Gaussian Distributions. Rikkyo University academic repository (Rikko Roots) (Rikkyo University). 44(1). 105–108. 2 indexed citations
12.
Khrennikov, A. Yu. & J. Wood. (1993). Statistical interpretation of p-adic-valued quantum field theory. Doklady Physics. 38(1). 14–16. 2 indexed citations
13.
Khrennikov, A. Yu.. (1992). Analysis on the p-adic superspace. I. Generalized functions: Gaussian distribution. Journal of Mathematical Physics. 33(5). 1636–1642. 5 indexed citations
14.
Khrennikov, A. Yu., et al.. (1991). NONCOMMUTATIVE DIFFERENTIAL CALCULUS AND PROJECTIVE TENSOR PRODUCTS OF NONCOMMUTATIVE BANACH ALGEBRAS. Soviet physics. Doklady. 36(12). 832–834.
15.
Khrennikov, A. Yu.. (1991). p-adic quantum mechanics with p-adic valued functions. Journal of Mathematical Physics. 32(4). 932–937. 91 indexed citations
16.
Khrennikov, A. Yu.. (1990). Quantum mechanics over Galois extensions of number fields. Soviet physics. Doklady. 35. 1032. 3 indexed citations
17.
Khrennikov, A. Yu.. (1990). The Schrodinger and Bargmann-Fock representations in non-Archimedean quantum mechanics. Soviet physics. Doklady. 35. 638. 2 indexed citations
18.
Khrennikov, A. Yu.. (1990). Quantum mechanics over non-Archimedean number fields. Theoretical and Mathematical Physics. 83(3). 623–632. 10 indexed citations
19.
Khrennikov, A. Yu.. (1987). Superanalysis: Theory of generalized functions and pseudodifferential operators. Theoretical and Mathematical Physics. 73(3). 1313–1320. 12 indexed citations
20.
Khrennikov, A. Yu.. (1982). Stochastic integrals in locally convex spaces. Russian Mathematical Surveys. 37(1). 166–167. 4 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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