608 research outputs found
The Spider Poset Is Macaulay
No full textAbstractLet Q(k, l) be a poset whose Hasse diagram is a regular spider with k+1 legs having the same length l. We show that for any n⩾1 the nth cartesian power of the spider poset Q(k, l) is a Macaulay poset for any k⩾0 and l⩾1. In combination with our recent results (S. L. Bezrukov, 1998, J. Combin. Theory Ser. A84, 157–170) this provides a complete characterization of all Macaulay posets which are cartesian powers of upper semilattices, whose Hasse diagrams are trees
Partitioning the n-cube into sets with mutual distance 1
No full textBlokhuis A, Metsch K, Moorhouse GE, Ahlswede R, Bezrukov SL. Partitioning the n-cube into sets with mutual distance 1. Applied Mathematics Letters. 1993;6(4):17-19
Description and chemical composition of manganese nodules sampled during the R/V "Vityaz" Expedition Vityaz-35
No full textThis paper presents data on the chemical composition of iron-manganese nodules and associated sediments collected during the 35th voyage of the R/V "Vityaz" in 1962. The samples were made available to the author by Prof, P. L. Bezrukov. Data on the general distribution of manganese nodules at the bottom of the Indian Ocean were already given by P. L. Bezrukov (1962, 1963). Here the author analyzed the geochemistry of nodules samples from seven stations and four samples from the associated sediments. The analysis separates the outer layer of nodules from their apparent internal core
Edge isoperimetric theorems for integer point arrays
No full textAhlswede R, Bezrukov SL. Edge isoperimetric theorems for integer point arrays. Applied Mathematics Letters. 1995;8(2):75-80.We consider subsets of the n-dimensional grid with the Manhattan metrics, tile., the Cartesian product of chains of lengths k(1),..., k(n)) and study those of them which have maximal number of induced edges of the grid, and those which are separable from their complement by the least number of edges. The first problem was considered for k(1) = ... = k(n) by Bollobas and Leader [1]. Here we extend their result to arbitrary k(1),..., k(n), and give also a simpler proof based on a new approach. For the second problem, [1] offers only an inequality. We show that bur approach to the first problem also gives a solution for the second problem, if all k(i) = infinity. If all k(i)'s are finite, we present an exact solution for n = 2
Can an odd number of fermions be created due to chiral anomaly?
No full textBezrukov F, Burnier Y, Shaposhnikov M. Can an odd number of fermions be created due to chiral anomaly? Phys .Rev. D. 2006;73(4): 45008.We describe a possibility of creation of an odd number of fractionallycharged fermions in 1+1 dimensional Abelian Higgs model. We point out that for1+1 dimensions this process does not violate any symmetries of the theory, normakes it mathematically inconsistent. We construct the proper definition of thefermionic determinant in this model and underline its non-trivial features thatare of importance for realistic 3+1 dimensional models with fermion numberviolation
Towards a solution of the strong CP problem by compact extra dimensions
No full textBezrukov FL, Burnier Y. Towards a solution of the strong CP problem by compact extra dimensions. Physical Review D. 2009;80(12): 125004.We show that the strong CP problem can, in principle, be solved dynamicallyby adding extra-dimensions with compact topology. To this aim we consider a toymodel for QCD, which contains a vacuum angle and a strong CP like problem. Wefurther consider a higher dimensional theory, which has a trivial vacuumstructure and which reproduces the perturbative properties of the toy model inthe low-energy limit. In the weak coupling regime, where our computations arevalid, we show that the vacuum structure of the low-energy action is stilltrivial and the strong CP problem is solved. No axion-like particle occur inthis setup and therefore it is not ruled out by astrophysical bounds
, Steady State of Random Reistor Networks under Biased Percolation: a Framework for Noise in Disordered Media ?
No full textpubblicato in “Unsolved Problems of Noise and Fluctuations”, ed. S.M. Bezrukov, AIP Conf.Proc., 665, Melville, New York, 200
On Oriented Embedding of the Dichotomic Tree into the Hypercube
No full textWe consider the oriented dichotomic tree and the oriented hypercube. The tree edges are oriented from the root to the leaves, while the orientation of the cube edges is induced by the direction from 0 to 1 in the coordinatewise form. The problem is to embed such a tree with l levels into the oriented n-cube as an oriented subgraph, for minimal possible n. A new approach to such problems is presented, which improves the known upper bound n=l 3=2 from [1] to n=l 4=3 + o(1) as l !1
The indication for K geo-antineutrino flux with Borexino phase-III data
No full textWe provide the indication of high flux of K geo-antineutrino and
geo-neutrino (K-geo-()) with Borexino Phase III data.
This result was obtained by introducing a new source of single events, namely
K-geo-() scattering on electrons, in multivariate fit
analysis of Borexino Phase III data. Simultaneously we obtained the count rates
of events from Be, and CNO solar neutrinos. These count rates are
consistent with the prediction of the Low metallicity Sun model SSM B16-AGSS09.
MC pseudo-experiments showed that the case of High metallicity Sun and absence
of K-geo-() can not imitate the result of multivariate
fit analysis of Borexino Phase III data with introducing
K-geo-() events. We also provide arguments for the high
abundance of potassium in the Earth.Comment: 17 pages, 7 figures. arXiv admin note: substantial text overlap with
arXiv:2202.08531 We have corrected and expanded the section on radiogenic
heat of the Earth. Improved the quality of drawings. The results of the study
are partially described in L. B. Bezrukov, I. S. Karpikov, A. K. Mezhokh, S.
V. Silaeva and V. V. Sinev, Bulletin of the Russian Federation. 87 (7), 972
(2023
(Table 1, Page 44-45) Average chemical composition of manganese nodules and crust collected at different localities in the Indian Ocean by the R/V Vityaz from 1959 until 1966
No full text(Table 1, Page 44-45) Average chemical composition of manganese nodules and crust collected at different localities in the Indian Ocean by the R/V Vityaz from 1959 until 196
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