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Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials
No full textIn a recent joint paper with S. Sahi and V. Venkateswaran (2025), families of actions of the double affine Hecke algebra on spaces of quasi-polynomials were introduced. These so-called quasi-polynomial representations led to the introduction of quasi-polynomial extensions of the nonsymmetric Macdonald polynomials, which reduce to metaplectic Iwahori-Whittaker functions in the -adic limit. In this paper, these quasi-polynomial representations are extended to Sahi's 5-parameter double affine Hecke algebra, and the quasi-polynomial extensions of the nonsymmetric Koornwinder polynomials are introduced.I thank Siddhartha Sahi and Vidya Venkateswaran for several interesting discussions about the topic of the paper. I also thank the referees for their thoughtful comments
The market of international road freight transportation of Ukraine in the context of integration into the single European transport space: development trends, barriers and ways to overcome them
No full textУ статті обґрунтовано стратегічне значення у відновленні економіки України процесу інтеграції автомобільного сегменту ринку вантажних перевезень в єдиний європейський транспортний простір. Визначено основні проблеми сучасного розвитку цього сегменту, пов’язані з геополітичними процесами. Наведено перелік бар’єрів інтеграційного процесу що виникають як внаслідок внутрішньоукраїнських проблем так і з боку транспортної системи Європейського Союзу. Сформовано комплекс заходів для подолання бар’єрів в процесі інтеграції автотранспортних перевезень вантажів України в єдиний транспортний простір ЄС.The article substantiates the strategic importance of the process of integrating the automobile segment of the freight market into the single European transport space in the recovery of the Ukrainian economy. A quantitative analysis of global, European and domestic freight transportation, including road transport, is provided. Key trends in the development of the international and, in particular, the European freight market are identified, which include the growth of demand for “green transport” and transparent environmental standards, intensive digitalization and automation, the transition to multimodality, as well as more stringent regulatory requirements and challenges in terms of staffing.
A list of barriers to the integration process is provided, including Ukraine’s internal problems, such as the need to modernize infrastructure, imperfect legal and institutional capacity, competition in the market, as well as difficulties with compliance with regulatory requirements and interinstitutional coordination. On the EU side, the main barriers are infrastructure, regulatory, investment challenges and environmental sustainability issues. A set of measures has been formed to overcome barriers in the process of integrating Ukrainian road freight transport into the EU single transport space. In particular, it is important for Ukraine to finance infrastructure modernization, adapt legislation to European standards, stimulate competition, support small and medium-sized enterprises, ensure monitoring of regulations and strengthen inter-institutional coordination. On the EU side, important measures are joint cross-border infrastructure projects, harmonization of standards, conclusion of agreements to simplify customs and border procedures, attraction of investments through international funds, as well as the introduction of environmental standards and incentives for “green” transport
Integrable Twelve-Component Nonlinear Dynamical System on a Quasi-One-Dimensional Lattice
No full textBearing in mind the potential physical applicability of multicomponent completely integrable nonlinear dynamical models on quasi-one-dimensional lattices, we have developed the novel twelve-component and six-component semi-discrete nonlinear integrable systems in the framework of the semi-discrete Ablowitz-Kaup-Newell-Segur scheme. The set of lowest local conservation laws found by the generalized direct recurrent technique was shown to be an indispensable constructive tool in the reduction procedure from the prototype to actual field variables. Two types of admissible symmetries for the twelve-component system and one type of symmetry for the six-component system have been established. The mathematical structure of the total local current was shown to support the charge transportation only by four of six subsystems incorporated into the twelve-component system under study. The twelve-component system is able to model the actions of external parametric drive and external uniform magnetic field via time dependencies and phase factors of coupling parameters.Oleksiy O. Vakhnenko acknowledges support from the National Academy of Sciences of Ukraine within the Project No 0122U000887. Vyacheslav O. Vakhnenko acknowledges support from the National Academy of Sciences of Ukraine within the Project No 0123U100182. Oleksiy O. Vakhnenko also acknowledges support from the Simons Foundation (USA) under the Grant SFI-PD-Ukraine-00014573. We are grateful to referees for the constructive criticism directed at improving the quality of the presented results
A Minimum Property for Cuboidal Lattice Sums
No full textWe analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice
Time management in the system of innovation management: technologies for enhancing the productivity of managerial teams
No full textУ статті досліджено значення тайм-менеджменту в системі інноваційного менеджменту та його вплив на продуктивність управлінських команд. Розкрито теоретичні засади управління часом, визначено взаємозв’язок між ефективністю тайм-менеджменту та результативністю інноваційних процесів. Проаналізовано сучасні цифрові інструменти планування, командної взаємодії й автоматизації робочих процесів. Визначено ключові бар’єри впровадження технологій управління часом та запропоновано напрями їх подолання. Сформульовано практичні рекомендації для підвищення гнучкості, координації й продуктивності управлінських команд у динамічному інноваційному середовищі.The article examines the role of time management within the system of innovation management and highlights its impact on the performance and effectiveness of managerial teams. The study outlines the theoretical foundations of time management, emphasizing its evolution from classical approaches to modern digital solutions that optimize planning, prioritization, and workflow coordination. Special attention is given to the relationship between time management practices and the efficiency of innovation-driven teams, for whom flexibility, adaptability, and creativity are essential compe¬tencies. The article analyzes contemporary digital tools — such as project management platforms, cloud-based collaborative systems, and AI-driven assistant — that support the automation of routine tasks, enhance strategic planning, and reduce cognitive overload. Key barriers to implementing time management technologies in innovative environments are identified, including human factors, organizational limitations, and technological challenges. Based on the research findings, practical recommendations are proposed for integrating advanced time management practices into innovation management systems, focusing on building a digital culture, developing leadership competencies, implementing agile methodologies, and using AI to forecast workloads and optimize team processes. The study concludes that effective time management is a critical driver of productivity and a strategic component for strengthening the competitive capacity of innovative organizations
75th anniversary of Corresponding Member of NAS of Ukraine E.I. Golovakha
No full text13 серпня виповнюється 75 років відомому соціологу, доктору філософських наук, професору, лауреату Державної премії України в галузі науки і техніки, члену-кореспонденту НАН України Євгену Івановичу Головасі
Digitalization of work and transformation of professions: challenges for sustainable development
No full textВ умовах цифрової трансформації світова економіка стикається з безпрецедентними змінами у сфері праці. Цифровізація праці та трансформація професій є амбівалентним процесом, що одночасно відкриває нові можливості і породжує структурні ризики. Автоматизація, платформна зайнятість та гнучкі форми роботи трансформують професійну структуру та створюють як нові можливості, так і ризики. Цифровізація праці провокує якісні зміни у структурі зайнятості. Зникають професії, що ґрунтуються на рутинних діях та низькому рівні цифрових навичок – касири, архіваріуси, диспетчери, телемаркетологи, оператори кол-центрів. Їх замінюють автоматизовані системи, алгоритми та чат-боти. З іншого боку, ринок праці відчуває гостру потребу у фахівцях з компетенціями в галузі ІТ, аналітики даних, кібербезпеки, цифрового дизайну та управління цифровими проєктами. Ці професії демонструють стійке зростання попиту навіть за умов економічної нестабільності. У зв’язку з цим раціонально розглянути динаміку зростання кількості фрілансерів в Україні та Азербайджані до 2025 року. Ринок праці швидко змінюється: зникають рутинні професії, з’являються нові форми зайнятості, загострюється конкуренція за цифрові компетенції. Ці процеси вимагають гнучкої та відповідальної політики, спрямованої на скорочення цифрової нерівності, розвиток навичок ХХІ століття та адаптацію законодавства під реалії цифрової економіки. Таким чином, тільки людиноцентричний підхід до цифровізації праці, де пріоритет віддається соціальній стійкості, інклюзивності та доступності, може забезпечити не тільки зростання ефективності, але й реальний сталий розвиток.
У статті аналізуються ключові тенденції цифровізації праці, зміни на ринку професій та соціальні наслідки цих процесів. Особливу увагу приділено порівняльному аналізу ситуації в Азербайджані та Україні.In the context of digital transformation, the global economy is facing unprecedented changes in the field of labor. The digitization of labor and the transformation of professions is an ambivalent process that simultaneously opens up new opportunities and creates structural risks. Automation, platform employment, and flexible forms of work are transforming the professional structure and creating both new opportunities and risks. The digitalization of work is causing qualitative changes in the structure of employment. Professions based on routine tasks and low digital skills are disappearing—cashiers, archivists, dispatchers, telemarketers, call center operators. They are being replaced by automated systems, algorithms, and chatbots. On the other hand, the labor market is in dire need of specialists with competencies in IT, data analytics, cybersecurity, digital design, and digital project management. These professions are showing steady growth in demand even in conditions of economic instability. In this regard, it is reasonable to consider the dynamics of the growth in the number of freelancers in Ukraine and Azerbaijan until 2025.
The labor market is changing rapidly: routine professions are disappearing, new forms of employment are emerging, and competition for digital skills is intensifying. These processes require flexible and responsible policies aimed at reducing digital inequality, developing 21st-century skills, and adapting legislation to the realities of the digital economy. Thus, only a human-centered approach to the digitalization of labor, where priority is given to social sustainability, inclusiveness, and accessibility, can ensure not only increased efficiency but also real sustainable development.
The article analyzes key trends in the digitalization of labor, changes in the job market, and the social consequences of these processes. Particular attention is paid to a comparative analysis of the situation in Azerbaijan and Ukraine
Transformations of Public Memory in Berdiansk after 2014
No full textBerdiansk is a Ukrainian city on the Azov Sea shore in Zaporizhzhia Oblast. With almost 200 years of colonial history, this city currently living under Russian occupation is an excellent fit for analysing the memory transformation process in the communities of southeastern Ukraine. This paper examines the memory politics background in the southeast of Ukraine as exemplified by the changes in symbolism across Berdiansk's city space on the back of post- Maidan politics. It brings to light the context of the artificial political divide of the 2000s-2010s that grew due to Ukrainian presidents' campaigns that polarized Ukrainian society and shows how the political forces of Ukraine, affected by Russian aggressive foreign policies, manipulated the historical differences to juxtapose southeastern Ukraine to the other part of the country. The paper connects this context with the partial success of Russia in the hybrid invasion of 2014 and analyzes the response of the local communities to the decisions made during the period of political uncertainty in the region.
Reconstructing the process Decomunization Laws implementations in Berdiansk, this paper demonstrates that memory coded in the toponyms, memorials and commemoration rituals be- came the epicenter of political struggle in the city. It refers to several cases of renaming of the streets, replacing the Soviet memorials (monuments to Vladimir Lenin, Felix Dzerzhinsky and others) with the themes and images of Ukrainian national history after 2014. Changes that took place year-over-year in the commemorational events on the 8th and 9th of May chosen as an example of difficulties that followed the transformational processes on the level of the public remembrance practices. An important place is drawn for the Working Group headed by Research Institute of Urban History that tried to securitize the city from ideological threats of Russian hybrid invasion, using different methods to influence public opinion on the matter of Russian and Soviet heritage in the public space of the city of Beridansk.
In addition, paper describes the transformation of memory sites under occupation and imagines potential commemoration frameworks for the liberated Berdiansk. The author discusses the replacement of the vertical type of decision-making in the field of Memory Politics with practices attentive to the historical diversity of southeastern Ukraine and Berdiansk in particular. Also, it considers the danger of massive destruction of the city's heritage during possible military operations and develops the approach based not only on the memory of human experiences but on the memorializa tion of the environmental catastrophes caused by Russia.
The considerations for symbolical transformations in Berdiansk draw on the Content Analysis method. Some data comes from the interview with the Research Institute of Urban History Director, Prof. Victoria Konstantinovna, who helped implement decommunisation laws. While analysing the relations between Ukrainian memory politics and Russian colonial policy, the author used de/postcolonial optics.The paper draws on the results of an individual research project prepared within the Invisible University for Ukraine program of the Central European University with the support of the University of Jena and DAAD