VTeX: Solutions for Science Publishing

We analyze almost sure asymptotic behavior of extreme values of a regenerative process. We show that under certain conditions a properly centered and normalized running maximum of a regenerative process satisfies a law of the iterated logarithm for the lim sup and a law of the triple logarithm for the lim inf. This complements a previously known result of Glasserman and Kou [Ann. Appl. Probab. 5(2) (1995), 424–445]. We apply our results to several queuing systems and a birth and death process.

The Nordic Baltic region (5+3)2 is now closely interlinked via trade, investment, mobility of people, and banking. All the countries in this group have pursued some form of integration with the European Union (EU). Six of them are EU member states, four of them are members of the euro area, and all of them are within the European Economic Area (EEA) and are Schengen member states. But can these small countries as a group cooperate more closely and perhaps exercise more collective authority in Europe? The Nordic countries and the Baltic States cooperate in the Bretton Woods institutions, the World Bank and the IMF, and six of them are among European NATO member states. When it comes to European integration the lack of common approach complicates their cooperation. Within this group there are internal divisions between the hardcore EU and euro area member states (the Baltics and Finland), EU members (Denmark and Sweden) and EU outsiders (Iceland and Norway). Common pathways for the future cooperation in Europe may be hard to find. Also, the Nordics are high income welfare states, but the Baltics are neoliberal with minimal governments and low-tax regimes. Additionally, external forces continue to challenge the Nordic Baltic region, including revanchist Russian policies threatening Baltic Sovereignty, unpredictable US policies towards NATO as well as reduced military presence in Europe, and dismal EU and euro area post crisis economic performance. All point to a future of uncertainty including both economic and security risks.

The paper is part of a research series for ancient Roman sites in Northern Bulgaria which aim to present the possibilities of creating a specialized form of cultural and historical product that ensures sustainable utilization of the Bulgarian tangible heritage. A study of the Roman fortress Sostra, located on the Via Traiani road as a cultural and historical tourist resource was conducted. The castellum is characterized as an object of cultural heritage in the region of Troyan Municipality in Bulgaria. The methodology applied in assessing the potential of the Ancient Roman fortress Sostra is primarily designed for historical and cultural sites. An evaluation was made under the following criteria: potential for development, degree of impact / interaction, degree of modification with relevant indicators. Also an expedition-field method for terrain research was applied. Summaries and conclusions were made in order to highlight the possibility of forming a tourist product of cultural and cognitive tourism.

This time, the journal is publishing articles of different scientific interests. The articles are different, as is the autumn colour palette in nature. H. Hilmarrson provided insights into the economic similarities and differences between the Nordic and Baltic countries, while A. Guogis, A. V. Rakšnys analyzed patterns of welfare states. The prosperity of the state cannot exist if there is corruption in the country. And perception of corruption was investigated by I. Pikturnaitė, J. Jonuševičienė, R. Kavolius. The analysis of demographic and social changes in Klaipėda suburbs was carried out by D. Verkulevičiūtė-Kriekienė, I. Nomeikienė. P. Lakov, I. Shopova presented opportunities of cultural and historical attraction for tourists in Bulgaria. D. Behmane, D. Rutitis, V. Savicka rated the websites of health care providers. K. Casno, D. Šķiltere, B. Sloka, and G. Tauraitė-Janušauskienė discussed the role of social entrepreneurship in the context of sustainable development. The role of digitalization in the development of civil society is analyzed in the article by E. Lielpēters, while the online car rental wars are discussed in S. H. Pramudya’s article. E. Dundure, B. Sloka’s article analyzes the Latvian pension system, while the problems of material deprivation are analyzed in B. Sloka, K.Cipane’s article. The effect of fear of loss was discussed by V. Tauraitė. The importance of the use of emotional intelligence in vocational training was studied by A. Lice, B. Sloka. A review of H. Hilmarson’s book written by S. Kumar can also be found in this issue. Enjoy your readings.

In the paper we consider higher-order partial differential equations from the class of linear dispersive equations. We investigate solutions to these equations subject to random initial conditions given by harmonizable φ-sub-Gaussian processes. The main results are the bounds for the distributions of the suprema for solutions. We present the examples of processes for which the assumptions of the general result are verified and bounds are written in the explicit form. The main result is also specified for the case of Gaussian initial condition.