2 papers
cs.IT2019
Weight Distributions for Successive Cancellation Decoding of Polar Codes
Rina Polyanskaya, Mars Davletshin, Nikita Polyanskii
In this paper, we derive the exact weight distributions that emerge during each stage of successive cancellation decoding of polar codes. Though we do not compute the distance spec…
math.DS2018
Arnold diffusion in multidimensional a priori unstable Hamiltonian systems
Mars Davletshin, Dmitry Treschev
We study the Arnold diffusion in a priori unstable near-integrable systems in a neighbourhood of a resonance of low order. We consider a non-autonomous near-integrable Hamiltonian…