Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Lebedev, Alexey"'
Autor:
Lebedev, Alexey V.
We construct meta-intransitive systems of independent random variables of any finite order from basic tuple of random variables which generalize intransitive dice. Under this construction, the equality of some linear functional is preserved, provided
Externí odkaz:
http://arxiv.org/abs/2405.02424
Autor:
Lebedev, Alexey
For a Lie superalgebra with Cartan matrix over a field of positive characteristic, some information about its root system in terms of the system of simple roots corresponding to the Chevalley generators is described, under certain given assumptions.
Externí odkaz:
http://arxiv.org/abs/2311.02710
In this paper, the problem of correction of a single error in $q$-ary symmetric channel with noiseless feedback is considered. We propose an algorithm to construct codes with feedback inductively. For all prime power $q$ we prove that two instances o
Externí odkaz:
http://arxiv.org/abs/2305.06691
We address the problem of correcting a single error in an arbitrary discrete memoryless channel with error-free instantaneous feedback. For the case of a one-time feedback, we propose a method for constructing optimal transmission strategies. The obt
Externí odkaz:
http://arxiv.org/abs/2301.01848
In this paper, we developed new coding strategies for the Z-channel. In particular, we look at the case with two-stage encoding. In this case, the encoder uses noiseless feedback once and adjusts the further encoding strategy based on the previous pa
Externí odkaz:
http://arxiv.org/abs/2202.00136
Autor:
Lebedev, Alexey V.
The work continues the author's many-year research in theory of maximal branching processes, which are obtained from classical branching processes by replacing the summation of descendant numbers with taking the maximum. One can say that in each gene
Externí odkaz:
http://arxiv.org/abs/2104.08849
Autor:
Lebedev, Alexey, Deppe, Christian
In 1946, Koopman introduced a two-sided search model. In this model, a searched object is active and can move, at most, one step after each test. We analyze the model of a combinatorial two-sided search by allowing more moves of the searched object a
Externí odkaz:
http://arxiv.org/abs/2102.01188
In this paper, we discuss two-stage encoding algorithms capable of correcting a fraction of asymmetric errors. Suppose that the encoder transmits $n$ binary symbols $(x_1,\ldots,x_n)$ one-by-one over the Z-channel, in which a 1 is received only if a
Externí odkaz:
http://arxiv.org/abs/2010.16362
Autor:
Lebedev, Alexey V.
We generalize the concept of extremal index of a stationary random sequence to the series scheme of identically distributed random variables with random series sizes tending to infinity in probability. We introduce new extremal indices through two de
Externí odkaz:
http://arxiv.org/abs/2009.09469
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