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Tolchennikov, Anton A.

Author ID: tolchennikov.anton-a Recent zbMATH articles by "Tolchennikov, Anton A."
Published as: Tolchennikov, A. A.; Tolchennikov, Anton A.; Tolchennikov, Anton
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 79 times in 52 Documents Cited by Year
Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree. Zbl 1377.05027
Chernyshev, V. L.; Tolchennikov, A. A.
9
2017
Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. Zbl 1448.35391
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
8
2020
Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom. Zbl 1386.76082
Dobrokhotov, S. Yu.; Sekerzh-Zen’kovich, S. Ya.; Tolchennikov, A. A.
7
2017
The second term in the asymptotics for the number of points moving along a metric graph. Zbl 1416.11141
Chernyshev, Vsevolod L.; Tolchennikov, Anton A.
6
2017
Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. Zbl 1372.35180
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
5
2017
Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. Zbl 1432.76203
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
5
2017
Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory. Zbl 1353.37140
Chernyshev, Vsevolod L.; Tolchennikov, Anton A.; Shafarevich, Andrei I.
5
2016
Polynomial approximation for the number of all possible endpoints of a random walk on a metric graph. Zbl 1460.05178
Chernyshev, Vsevolod; Tolchennikov, Anton
5
2018
Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs. Zbl 1397.37046
Chernyshev, V. L.; Tolchennikov, A. A.
5
2016
Asymptotics of shallow water equations on the sphere. Zbl 1311.76012
Dobrokhotov, S. Yu.; Tirozzi, B.; Tolchennikov, A. A.
4
2014
The kernel of Laplace-Beltrami operators with zero-radius potential or on decorated graphs. Zbl 1268.47058
Tolchennikov, A. A.
4
2008
Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics. Zbl 1362.35242
Sergeev, S. A.; Tolchennikov, A. A.
3
2016
Solution of the two-dimensional Dirac equation with a linear potential and a localized initial condition. Zbl 1417.81126
Dobrokhotov, S. Yu.; Tolchennikov, A. A.
3
2019
The number of endpoints of a random walk on a semi-infinite metric path graph. Zbl 1467.05248
Chernyshev, V. L.; Minenkov, D. S.; Tolchennikov, A. A.
2
2021
Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene. Zbl 1401.82065
Tolchennikov, A. A.
2
2018
Kernel and trace formula for the exponential of the Laplace-Beltrami operator on a decorated graph. Zbl 1177.31005
Tolchennikov, A. A.
1
2008
Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator. Zbl 1431.76113
Petrov, P. S.; Sergeev, S. A.; Tolchennikov, A. A.
1
2017
Asymptotics of the number of endpoints of a random walk on a certain class of directed metric graphs. Zbl 1479.05328
Chernyshev, V. L.; Tolchennikov, A. A.
1
2021
Behavior of the solution of the Klein-Gordon equation with a localized initial condition. Zbl 1431.81054
Tolchennikov, A. A.
1
2019
Variational method for computing ray trajectories and fronts of tsunami waves generated by a localized source. Zbl 1450.35257
Dobrokhotov, S. Yu.; Klimenko, M. V.; Nosikov, I. A.; Tolchennikov, A. A.
1
2020
Asymptotics of the trace of the resolvent of the Laplace operator on a metric graph with arbitrary boundary conditions. Zbl 1417.81132
Tolchennikov, A. A.
1
2019
The number of endpoints of a random walk on a semi-infinite metric path graph. Zbl 1467.05248
Chernyshev, V. L.; Minenkov, D. S.; Tolchennikov, A. A.
2
2021
Asymptotics of the number of endpoints of a random walk on a certain class of directed metric graphs. Zbl 1479.05328
Chernyshev, V. L.; Tolchennikov, A. A.
1
2021
Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. Zbl 1448.35391
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
8
2020
Variational method for computing ray trajectories and fronts of tsunami waves generated by a localized source. Zbl 1450.35257
Dobrokhotov, S. Yu.; Klimenko, M. V.; Nosikov, I. A.; Tolchennikov, A. A.
1
2020
Solution of the two-dimensional Dirac equation with a linear potential and a localized initial condition. Zbl 1417.81126
Dobrokhotov, S. Yu.; Tolchennikov, A. A.
3
2019
Behavior of the solution of the Klein-Gordon equation with a localized initial condition. Zbl 1431.81054
Tolchennikov, A. A.
1
2019
Asymptotics of the trace of the resolvent of the Laplace operator on a metric graph with arbitrary boundary conditions. Zbl 1417.81132
Tolchennikov, A. A.
1
2019
Polynomial approximation for the number of all possible endpoints of a random walk on a metric graph. Zbl 1460.05178
Chernyshev, Vsevolod; Tolchennikov, Anton
5
2018
Simple exact solutions and asymptotic localized solutions of the two-dimensional massless Dirac equation for graphene. Zbl 1401.82065
Tolchennikov, A. A.
2
2018
Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree. Zbl 1377.05027
Chernyshev, V. L.; Tolchennikov, A. A.
9
2017
Exact and asymptotic solutions of the Cauchy-Poisson problem with localized initial conditions and a constant function of the bottom. Zbl 1386.76082
Dobrokhotov, S. Yu.; Sekerzh-Zen’kovich, S. Ya.; Tolchennikov, A. A.
7
2017
The second term in the asymptotics for the number of points moving along a metric graph. Zbl 1416.11141
Chernyshev, Vsevolod L.; Tolchennikov, Anton A.
6
2017
Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. Zbl 1372.35180
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
5
2017
Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. Zbl 1432.76203
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A.
5
2017
Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator. Zbl 1431.76113
Petrov, P. S.; Sergeev, S. A.; Tolchennikov, A. A.
1
2017
Behavior of quasi-particles on hybrid spaces. Relations to the geometry of geodesics and to the problems of analytic number theory. Zbl 1353.37140
Chernyshev, Vsevolod L.; Tolchennikov, Anton A.; Shafarevich, Andrei I.
5
2016
Asymptotic estimate for the counting problems corresponding to the dynamical system on some decorated graphs. Zbl 1397.37046
Chernyshev, V. L.; Tolchennikov, A. A.
5
2016
Creation operators in the problem of localized solutions of the linearized shallow water equations with regular and singular characteristics. Zbl 1362.35242
Sergeev, S. A.; Tolchennikov, A. A.
3
2016
Asymptotics of shallow water equations on the sphere. Zbl 1311.76012
Dobrokhotov, S. Yu.; Tirozzi, B.; Tolchennikov, A. A.
4
2014
The kernel of Laplace-Beltrami operators with zero-radius potential or on decorated graphs. Zbl 1268.47058
Tolchennikov, A. A.
4
2008
Kernel and trace formula for the exponential of the Laplace-Beltrami operator on a decorated graph. Zbl 1177.31005
Tolchennikov, A. A.
1
2008

Citations by Year