Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Rudnev, M. A."'
Autor:
Rudnev, M., Barrett, H. C., Buckwalter, W., Machery, E., Stich, S., Barr, K., Bencherifa, A., Clancy, R. F., Crone, D. L., Deguchi, Y., Fabiano, E., Fodeman, A. D., Guennoun, B., Halamová, J., Hashimoto, T., Homan, J., Kanovský, M., Karasawa, K., Kim, H., Kiper, J.
Publikováno v:
Nature Communications; 8/14/2024, Vol. 15 Issue 1, p1-13, 13p
In this paper we apply a group action approach to the study of Erd\H os-Falconer type problems in vector spaces over finite fields and use it to obtain non-trivial exponents for the distribution of simplices. We prove that there exists $s_0(d)
Externí odkaz:
http://arxiv.org/abs/1311.4788
Autor:
Rudnev, M., Ten, V.
We study the question whether for a natural Hamiltonian system on a two-dimensional compact configuration manifold, a single trajectory of sufficiently high energy is almost surely enough to reconstruct a real analytic potential.
Comment: 5 page
Comment: 5 page
Externí odkaz:
http://arxiv.org/abs/math/0502262
Autor:
Rudnev, M., Ten, V.
We establish a generic sufficient condition for a compact $n$-dimensional manifold bearing an integrable geodesic flow to be the $n$-torus. As a complementary result, we show that in the case of domains of possible motions with boundary, the first Be
Externí odkaz:
http://arxiv.org/abs/math/0501413
Autor:
Rudnev, M., Ten, V.
We propose a model for local dynamics of a perturbed convex real-analytic Liouville-integrable Hamiltonian system near a resonance of multiplicity $1+m, m\geq 0$. Physically, the model represents a toroidal pendulum, coupled with a Liouville-integrab
Externí odkaz:
http://arxiv.org/abs/math/0501208
A new nonlinear 3+1 dimensional evolution equation admitting the Lax pair is presented. In the case of one spatial dimension, the equation reduces to the Burgers equation. A method of construction of exact solutions, based on a class of discrete symm
Externí odkaz:
http://arxiv.org/abs/nlin/0411061
Autor:
Iosevich, A., Rudnev, M.
Let $S \subset {\mathbb R}^d$ be contained in the unit ball. Let $\Delta(S)=\{||a-b||:a,b \in S\}$, the Euclidean distance set of $S$. Falconer conjectured that the $\Delta(S)$ has positive Lebesque measure if the Hausdorff dimension of $S$ is greate
Externí odkaz:
http://arxiv.org/abs/math/0409283
We obtain a good upper bound on the number of solutions of a diophantine equation arising from a strictly convex sequences of real numbers.
Externí odkaz:
http://arxiv.org/abs/math/0311297
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol. 2003, No. 49, pp. 3123-3142
We study discrete isospectral symmetries for the classical acoustic spectral problem in spatial dimensions one and two, by developing a Darboux (Moutard) transformation formalism for this problem. The procedure follows the steps, similar to those for
Externí odkaz:
http://arxiv.org/abs/nlin/0209047
Autor:
Iosevich, A., Rudnev, M.
Publikováno v:
Transactions of the American Mathematical Society, 2007 Dec 01. 359(12), 6127-6142.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9947-07-04265-1