Липіана Лева Биковського: доля Денверської збірки («Lypiana» of Lev Bykovskyi: the Fate of Denver Collection)

У тезах автор розглядає один із найбільш цікавих епізодів з інтелектуальної біографії видатного української вченого Лева Биковського – його дослідження життя та творчості письменника, лікаря, мислителя Юрія Липи. Простежено процес написання дослідником основних праць про Ю. Липу, укладання бібліографічних покажчиків. Досліджено окремі епізоди, пов’язані із виданням окремих праць Л. Биковського. З’ясовано значення творчої спадщини вченого, унікальні праці якого про Ю. Липу на сьогодні є чи не єдиними ґрунтовними розвідками про цю видатну особистість. (The author examines one of the most interesting episodes of the intellectual biography of outstanding Ukrainian scholar Lev Bykovskyi. Especially the researcher pays attention to Bykovskyi’s studies of the life and work of Yurii Lypa, the famous writer, physician and philosopher. The article is devoted to the analysis of the writing process of the major works about Yuri Lypa. The author studies some episodes related to the publication of certain articles of Lev Bykovskyi. The article clarifies the role of the artistic heritage of the unique scholar whose valuable work about Yurii Lypa is considered the main academic work about this outstanding personality.

The importance of being scrambled: supercharged Quasi Monte Carlo

In many financial applications Quasi Monte Carlo (QMC) based on Sobol low-discrepancy sequences (LDS) outperforms Monte Carlo showing faster and more stable convergence. However, unlike MC QMC lacks a practical error estimate. Randomized QMC (RQMC) method combines the best of two methods. Application of scrambled LDS allow to compute confidence intervals around the estimated value, providing a practical error bound. Randomization of Sobol' LDS by two methods: Owen's scrambling and digital shift are compared considering computation of Asian options and Greeks using hyperbolic local volatility model. RQMC demonstrated the superior performance over standard QMC showing increased convergence rates and providing practical error bounds.Comment: arXiv admin note: text overlap with arXiv:2106.0842

Внесок діаспори у бібліографічне забезпечення липознавства (Diaspora’s Contribution into the Bibliographic Resources for Yuriy Lypa Studies)

У статті узагальнено матеріали, зібрані в процесі укладання бібліографічних покажчиків, здійснено огляд видань творів Ю. Липи і статей про нього в діаспорі, названо людей, причетних до видань, підсумовано результати і значення їх праці (The article is devoted to the Ukrainian writer, doctor, publicist and public figure Yuriy Lypa, who was killed 70 years ago. The article is based on the materials, which were collected for bibliographic catalogues. The author reviews the works of Yuriy Lypa and works devoted to this person, which were published by the Diaspora during 1946–1988. Therefore, the authors of these works are listed and the importance of their activity is emphasized in the article. Moreover, the article presents the publications of Yuriy Lypa’s contemporaries as unique biographical sources. Consequently, the emergence of Yuriy Lypa studies as a separate interdisciplinary area of research, that includes all researches associated with Yuriy Lypa (such as family, biography, activity, creativity, etc.) was pointed out in this article

Mineral-petrochemical wallrock alteration of rocks in Bericul gold-ore deposit (Kuznetsk Alatau)

The distribution of mineral associations in near-veined zonal propylite-beresite metasomatic columns of mesothermal Bericul gold-ore deposit was analyzed. However, the polymineral composition in the inner (axial and adjacent with it rear) zones is inconsistent to the existing metasomatic column theoretical model. According to Korzhinskii metasomatic zoning theory, implied monomineral (quartz) and binary-mineral (quartz, sericite) compositions are characteristic of axial and rear zones, respectively. In common with above-mentioned facts, the zoning formation of differential component mobility is influenced by two additional factors: counter diffusion of components from fractured fluids into pores and diffusion mechanism of mass transfer it's from pores fluids into fractured of rock-fluid systems

Statistical Multifragmentation Model within the Extended Morphological Thermodynamics Approach

On the basis of morphological thermodynamics we develop an exactly solvable version of statistical mutifragmentation model for the nuclear liquid-gas phase transition. It is shown that the hard-core repulsion between spherical nuclei generates only the bulk (volume), surface and curvature parts of the free energy of the nucleus, while the Gaussian curvature one does not appear in the derivation. The phase diagram of nuclear liquid-gas phase transition is studied for a truncated version of the developed model.Comment: Talk given at XIX Igor Sikorsky Kyiv Polytechnic Institute Conference "Theoretical and Practical Problems of Physics, Mathematics and Informatics" , May 13-14, 2021, Kyiv, Ukraine (4 pages, 2 figures

Sobol' indices for problems defined in non-rectangular domains

A novel theoretical and numerical framework for the estimation of Sobol sensitivity indices for models in which inputs are confined to a non-rectangular domain (e.g., in presence of inequality constraints) is developed. Two numerical methods, namely the quadrature integration method which may be very efficient for problems of low and medium dimensionality and the MC/QMC estimators based on the acceptance-rejection sampling method are proposed for the numerical estimation of Sobol sensitivity indices. Several model test functions with constraints are considered for which analytical solutions for Sobol sensitivity indices were found. These solutions were used as benchmarks for verifying numerical estimates. The method is shown to be general and efficient

Wave-vector dependent intensity variations of the Kondo peak in photoemission from CePd3_3

Strong angle-dependent intensity variations of the Fermi-level feature are observed in 4d - 4f resonant photoemission spectra of CePd$_3$(111), that reveal the periodicity of the lattice and largest intensity close to the Gamma points of the surface Brillouin zone. In the framework of a simplified periodic Anderson model the phenomena may quantitatively be described by a wave-vector dependence of the electron hopping matrix elements caused by Fermi-level crossings of non-4f-derived energy bands

New modern ways of the development of the higher education in Ukraine

The state and terms of the investment providing of higher educational establishments have been analyzed. The basic tendencies of the forming of the investment process are certain in the field of higher education. The role of the investments is shown in upgrading of the educational services in the system of the higher education

CeFePO: f-d hybridization and quenching of superconductivity

Being homologue to the new, Fe-based type of high-temperature superconductors, CeFePO exhibits magnetism, Kondo and heavy-fermion phenomena. We experimentally studied the electronic structure of CeFePO by means of angle-resolved photoemission spectroscopy. In particular, contributions of the Ce 4f-derived states and their hybridization to the Fe 3d bands were explored using both symmetry selection rules for excitation and their photoionization cross-section variations as a function of photon energy. It was experimentally found - and later on confirmed by LDA as well as DMFT calculations - that the Ce 4f states hybridize to the Fe 3d states of d_{3z^2-r^2} symmetry near the Fermi level that discloses their participation in the occurring electron-correlation phenomena and provides insight into mechanism of superconductivity in oxopnictides.Comment: 5 pages, 3 figure