Exactly Solvable Models in Statistical Physics

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Jozef Strečka,Katarína Karľová

The 48th Conference of the Middle European Cooperation in Statistical Physics (MECO48) will be held on May 22nd-26th, 2023, in Stará Lesná, High Tatras, Slovakia. The MECO48 conference continues a long tradition of regular international meetings in the domain of statistical physics established in the early 1970s with the aim of bridging the gap between the communities of scientists from the Eastern and Western parts of Europe separated by the iron curtain.

In the modern era the MECO conferences attract attention of the community of scientists who are active in the field of statistical physics including various interdisciplinary applications to biology, medicine, geography, finance, quantum information theory, and machine learning.

The MECO48 conference is organized jointly by Faculty of Science of Pavol Jozef Šafárik University in Košice, Institute of Experimental Physics of Slovak Academy of Sciences in Košice, Institute of Physics, Slovak Academy of Sciences in Bratislava and Faculty of Humanities and Natural Sciences, University of Prešov under the financial support of Slovak Research and Development Agency (grant No. APVV-20-0150) and other sponsors.

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Jozef Bednarčík (ed.)

Pavol Jozef Šafárik University in Košice under the auspices of Ministry of Education, Research, Development and Youth of the Slovak Republic, Ministry of Economy of the Slovak Republic and European X-Ray Free-Electron Laser Facility GmbH in Hamburg organizes School of XFEL and Synchrotron Radiation Users 2024 (SFEL 2024). The school is continuation of the Winter Schools of Synchrotron radiation held in 2011, 2013, 2014 and SFEL 2017, 2018, 2019 and 2022. The aim of the SFEL2024 school is to facilitate the growth of new Slovak research community of high expertise in high-efficiency RTG laser and synchrotron and neutron sources. The SFEL school is designed for efficient transfer of the rapidly developing know-how in these areas to young generation – researchers and university students. The next aim of the SFEL2024 is strengthening of personal connections between the local Slovak research community and forming scientific teams of XFEL users. Slovak research community thus can take advantage of the fact that Slovakia is a shareholder of European XFEL GmbH Company in Hamburg, but also makes more efficient use of other closely related scientific facilities, including ILL and ESRF in Grenoble and DESY in Hamburg.

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Katarína Cechlárová (ed.)

In 2018, the Student Scientific Conference was held on April 18, 2018, in 16 sections covering biology and ecology, chemistry, physics, geography, mathematics, computer science, and their subject didactics. There were 110 registered contributions from bachelor's and master's students. Additionally, eight high school students participated outside of the competition; these students already visit our alma mater at a young age, work in our laboratories, and prepare for further studies under the guidance of our enthusiastic teachers. The day also included a programming competition and the IHRA competition in three categories, where students from PF UPJŠ competed alongside pupils from elementary and secondary schools.

The abstracts of the Student Scientific Conference contributions convincingly demonstrate that PF UPJŠ students study their field not only theoretically but also actively engage in solving partial scientific problems that are part of the research goals at PF UPJŠ institutes. This collection provides an overview of scientific activity at the faculty, which we believe will be interesting for the broader public as well.

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Jozef Strečka- Katarína Karl’ová (eds.)

Zborník obsahuje program a abstrakty workshopu s názvom: 1st Workshop on Perspective Electron Spin Systems for Future Quantum Technologies, ktorý sa bude konať 28.-29. júna 2022 v Košiciach. Workshop je organizovaný Prírodovedeckou fakultou Pavla Jozefa Šafárika v Košiciach a Ústavom experimentálnej fyziky Slovenskej akadémie vied v Košiciach s finančnou podporou Agentúry na podporu výskumu a vývoja. Ústrednými témami konferencie budú súčasné problémy kvantovej fyziky - kvantovej teórie magnetizmu spinových a elektrónových štruktúr, exotických kvantových spinových stavov, kvantového previazania, kvantových fázových prechodov, topologického kvantového počítania a kvantového spracovania informácie. Účastníci workshopu budú prezentovať originálne pôvodné výsledky svojho výskumu, ktoré môžu zásadným spôsobom ovplyvniť vývoj budúcich kvantových technológií.   

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Vladimír Zeleňák(ed.)

The proceedings contain abstracts of contributions from participants of the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice, which took place on April 22, 2015.

The Student Scientific Conference (SSC) enjoys long-term popularity among the faculty's students and teachers, and we are pleased that this was no different this year, with 128 contributions submitted to the SSC.

The contributions were organized into 19 sections, additionally complemented by an open programming competition and the final of the IHRA contest. For many students, presenting at the SSC is one of the first opportunities to gain experience in presenting their results before a professional audience. Considering the number of submitted contributions, along with the members of the expert juries from the faculty's teaching staff and the audience who came to support their classmates' presentations, the SSC is an event where a large part of the student and academic community of the faculty meets at one place and time. Many abstracts presented in this proceedings were developed as part of students' work on partial tasks that are components of research projects at the departments of the Faculty of Science, Pavol Jozef Šafárik University.

The abstracts represent, in a way, an overview of research topics at the individual workplaces of the faculty. The SSC proceedings thus serve as a useful tool that students and faculty teachers can use to present the faculty externally to partners, employers, and potential collaborators. Partners from practice have shown interest in cooperating in organizing the SSC for a long time. Since 2005, the association of IT companies has awarded a Prize for the Most Original Work and a Prize for the Work with the Best Prospects for Practical Application.

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Božena Mihalíková - Ján Ohriska

This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.

The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.

A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.

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 Matúš Harminc 

Tento učebný text je určený poslucháčom medziodborového štúdia v kombináciách s matematikou, jednoodborového štúdia matematiky ako aj rozširujúceho štúdia matematiky. Je za-meraný na kvadratické kongruencie a niektoré diofantovské rovnice.

Autor

E-book

Vlasta Demečková - Petra Hradická - Petra Adamková

The learning material for the course Practice in Immunology is based on several years of experience with teaching this subject, but mainly to provide students from the Biology Department at the Faculty of Natural Sciences, UPJŠ in Košice with sufficient theoretical background for practical exercises. It also serves as a scientific diary for detailed recording of all experimental data necessary for preparing laboratory protocols from individual exercises.

In studying biology, it is essential that students thoroughly understand not only the basics of each discipline but also acquire practical skills, including designing scientific experiments, selecting appropriate analytical/investigative techniques up to interpreting and presenting experimental data. The goal of this new publication is therefore to provide master's students with a practical study guide that supports and expands their knowledge about basic immunology principles.

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Peter Kollár a kol. 

Skriptá Základné fyzikálne praktikum II. sú určené pre študentov Prírodovedeckej fakulty UPJŠ v Košiciach študujúcich na študijných programoch fyzika a medziodborových programoch v kombinácii s fyzikou. Obsahom skrípt sú úlohy z elektriny, magnetizmu a optiky. Podľa študijných programov sú zaradené do 3.semestra bakalárskeho štúdia, v ktorom by už študenti mali mať absolvovaný predmet všeobecná fyzika II. (elektrina a magnetizmus). Súčasťou každej úlohy sú základné poznatky venované javom, ktoré sú obsahom samotnej úlohy.

Autori

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Soňa Király (ed.) 

The Book of Abstracts of the International Conference on Advanced Materials IMAM 2026 consists of contributions from the participants of this scientific event. The proceedings contain 22 abstracts presenting current research results in the field of advanced materials and their applications across various scientific and technological disciplines. The contributions focus mainly on the development of new materials, electrochemical sensors, energy systems, and biomedical applications. All abstracts are prepared at a professional level and provide an overview of current trends in advanced materials research.

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Vladimír Sedlák

The university textbooks entitled Global Navigation Satellite Systems: GPS, GLONAS, Galileo, Compass present four navigation systems of the GNSS (Global Navigation Satellite Systems): American NAVSTAR GPS, Russian GLONASS, European Galileo and Chinese Compass. The Satellite-Based Augmentation Systems (SBAS) are also briefly explained. They provide regional service in augmenting the reach and support of signals from satellites of the GNSS (GPS, GLONASS, Galileo, Compass). Each satellite navigation system in the frame of GNSS is elucidated in terms of its principles of operation, structure, specificities, applications, and future perspectives.

The university textbook aims to improve the reader’s understanding of the principles and activities of the presented GNSS. The book emphasizes the possibilities of GNSS applications in geodesy and geography. The university textbook constitutes the basic study literature for the class Global Navigation Satellite Systems within the study program Geography and Geoinformatics at the Faculty of Science of the Pavol Jozef Šafárik University in Košice. For a deeper study of the GNSS issue, it is necessary to extend the study materials to include other educational scientific literature dealing with navigation satellite systems and their applications.

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E-publication

Beáta Valkayed.
Ivana Slepáková-Lenka Maliničová a kol.

The EFFUSE Teacher's Guide is a practical educational material for primary and secondary school teachers who want to develop environmental awareness with their pupils through field-based learning. It is based on the concept of the EFFUSE project (‘Environment for the future by science education’), which aims to link science, research and education with environmental protection. The manual provides teachers with methodological support for planning and implementing outdoor activities aimed at observing and documenting organisms around the Laborec River and the Uh River. It contains instructions for working with real samples, basic biomonitoring procedures and offers the opportunity to participate in the creation of a virtual laboratory that mirrors the state of the local aquatic ecosystem. Through these activities, pupils will learn to understand the links between human activity and the state of the environment, while learning the basics of how scientists work in the fields of biology and ecology. The guide also motivates teachers to become agents of positive change, inspire the younger generation to be active and engage the community in conservation. It is a challenge and an opportunity to create a space for meaningful learning in line with current trends in environmental and digital education.

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E-publication

Jozef Strečka-Katarína Karľová

The proceedings include the programme and abstracts of the workshop Magnetic Cooling and Frustrated Magnetism, held in Košice on October 27–29, 2025. The event is organized with the support of the French National Research Agency (ANR), the Faculty of Science of Pavol Jozef Šafárik University in Košice, and the Slovak Research and Development Agency. The workshop focuses on current challenges in quantum physics, particularly frustrated magnetism and magnetic cooling. Participants will present original research results that may significantly contribute to the development of future quantum technologies.

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Daniela Kladeková

This university text is intended for students of chemical and ecological sciences at the Faculty of Natural Sciences of the P. J. Šafárik University in Košice and is intended to serve as a tool for experimental exercises in colloid chemistry. Colloid chemistry is an important part of the theoretical basis of the chemical sciences and belongs to the newer interdisciplinary fields of natural sciences.

It combines knowledge from physical chemistry, physics and biology, while also drawing on a solid knowledge of mathematics and other scientific disciplines. Experiments are often essential in understanding the problems of colloid chemistry, modelling ideas about the phenomena and laws involved in the discipline. This is why active participation in experimental exercises is so important and essential to mastering the material in colloid chemistry.

In selecting the tasks for these scripts, it was also necessary to respect the considerable limitations imposed by the possibilities of the laboratory instrumentation and material equipment of our department. Despite this limitation, however, they can illustrate to students the basic theoretical physicochemical principles of colloid dispersion systems and, importantly, their understanding can contribute to the understanding of some of the more important peculiarities of colloidal phenomena.

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Jozef Bednarčík - Hana Vargová (eds.)

The Czech and Slovak Conference on Magnetism (CSMAG) is a scientific meeting that honors a longstanding tradition initiated in Košice in 1960. Evolving from a regional gathering of the Czechoslovak magnetic community into a prominent international forum, CSMAG brings together researchers from diverse fields of magnetism. The conference covers a wide range of topics including theoretical and experimental magnetism, magnetic materials for energy and spintronics applications, low-dimensional and molecular magnets, rare-earth and actinide systems, and multifunctional materials. With contributions from over 20 countries, CSMAG’25 fosters cross-disciplinary collaboration and showcases the latest advances in both fundamental studies and practical applications of magnetic phenomena.

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Valéria Skřivánková - Martina Hančová

The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.

The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.

Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.

This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.

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