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Jarná škola doktorandov 2026
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ŠafárikPress - UPJŠ v Košiciach

Jarná škola doktorandov 2026

E-book

E-book

Monika Halánová (ed.)

On May 25 -28. 2026, Stará Lesná will host the 12th year of the university-wide event ‘Spring School of Doctoral Students of Pavol Jozef Šafárik University in Košice’. As part of the professional program, there will be six plenary lectures by prominent experts from Pavol Jozef Šafárik University in Košice and two workshops will be held. A total of 49 full-time doctoral students will present the results of their scientific research work, of which 21 doctoral students in the section of medical and natural sciences (Faculty of Medicine/Faculty of Science) and 28 doctoral students in the section of social sciences and humanities (Faculty of Law/Faculty of Public Administration/Faculty of Arts).

Download the e-book for free (pdf)

Náhodné procesy a ich aplikácie
ŠafárikPress - UPJŠ v Košiciach

Náhodné procesy a ich aplikácie

E-book

E-book

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.

Download the e-book for free (pdf)

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