Zobrazeno 1 - 10
of 19 419
pro vyhledávání: '"A, Potapov"'
Autor:
Potapov, V. N.
We consider various definitions of degrees of discrete functions and establish relations between the number of relevant (essential) variables and degrees of two- and three-valued functions. Keywords: relevant variable, sensitivity, degree of Boolean
Externí odkaz:
http://arxiv.org/abs/2410.21937
Autor:
Potapov, R., Zotov, A.
We describe the Ruijsenaars' action-angle duality in classical many-body integrable systems through the spectral duality transformation relating the classical spin chains and Gaudin models. For this purpose, the Lax matrices of many-body systems are
Externí odkaz:
http://arxiv.org/abs/2410.19035
A multidimensional nonnegative matrix is called polystochastic if the sum of its entries over each line is equal to $1$. The permanent of a multidimensional matrix is the sum of products of entries over all diagonals. We prove that if $d$ is even, th
Externí odkaz:
http://arxiv.org/abs/2410.09546
A multidimensional nonnegative matrix is called polystochastic if the sum of entries in each line is equal to $1$. The set of all polystochastic matrices of order $n$ and dimension $d$ is a convex polytope $\Omega_n^d$. In the present paper, we compa
Externí odkaz:
http://arxiv.org/abs/2406.14160
Autor:
Jeunen, Olivier, Mandav, Jatin, Potapov, Ivan, Agarwal, Nakul, Vaid, Sourabh, Shi, Wenzhe, Ustimenko, Aleksei
Real-world recommender systems often need to balance multiple objectives when deciding which recommendations to present to users. These include behavioural signals (e.g. clicks, shares, dwell time), as well as broader objectives (e.g. diversity, fair
Externí odkaz:
http://arxiv.org/abs/2405.02141
Autor:
Potapov, V. N., Avgustinovich, S. V.
Publikováno v:
Siberian Mathematical Journal, 2020, Vol. 61, No. 5, P. 867-877
It is proved that 1) the indicator function of some onefold or multifold independent set in a regular graph is a perfect coloring if and only if the set attain the Delsarte--Hoffman bound; 2) each transversal in a uniform regular hypergraph is an ind
Externí odkaz:
http://arxiv.org/abs/2403.02904
Existence of strongly bound water molecules on silicate surfaces, above the desorption temperature of water ice, has been first predicted by computational studies and recently demonstrated by laboratory experiments. Such trapped water may be present
Externí odkaz:
http://arxiv.org/abs/2402.13600
Robots are becoming an increasingly common part of scientific work within laboratory environments. In this paper, we investigate the problem of designing \emph{schedules} for completing a set of tasks at fixed locations with multiple robots in a labo
Externí odkaz:
http://arxiv.org/abs/2402.12019
The problem of ponderomotive separation of ions with different charge-to-mass ratios under the influence of Alfven waves, which permanently exist in the magnetosphere in the form of geomagnetic pulsations, is posed. Formulas are derived for partial p
Externí odkaz:
http://arxiv.org/abs/2402.03364
Denote by Q_d the d-dimensional hypercube. Addressing a recent question we estimate the number of ways the vertex set of Q_d can be partitioned into vertex disjoint smaller cubes. Among other results, we prove that the asymptotic order of this functi
Externí odkaz:
http://arxiv.org/abs/2401.00299