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, 2003 Antiquity, 1939
West of the Provadia hills in Bulgaria is the valley of Shumen. The northern part of this valley belongs to the basin of the Provadia river, the southern to that of the river Kamtchia. The present railway line from Shumen to Kaspitchan serves as an ideal boundary between these two regions, but the two valleys are best known because of two historical ...
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West of the Provadia hills in Bulgaria is the valley of Shumen. The northern part of this valley belongs to the basin of the Provadia river, the southern to that of the river Kamtchia. The present railway line from Shumen to Kaspitchan serves as an ideal boundary between these two regions, but the two valleys are best known because of two historical ...
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No-Arbitrage and Equivalent Martingale Measures: An Elementary Proof of the Harrison–Pliska Theorem
Theory of Probability & Its Applications, 1995The authors give a new proof of Harrison-Pliska's theorem [see \textit{R. C. Dalang}, \textit{A. Morton} and \textit{W. Willinger}, Stochastics Stochastics Rep. 29, No. 2, 185-201 (1990; Zbl 0694.90037)]. In this theorem it is shown that no-arbitrage is equivalent to the existence of the probability measure \(Q\) which is absolutely continuous with ...
Kabanov, Yu. M., Kramkov, D. O.
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2019
An attempt is made to set a dating of the popular Pliska’s Rosette on the base of astronomical interpretation of signs, depicted on it and using a computer program for searching a moment in time, when a given allocation of planets is really occurred. Relating historical background and some explanations are considered.
Sidorov, Milosh, Kelevedzhiev, Emil
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An attempt is made to set a dating of the popular Pliska’s Rosette on the base of astronomical interpretation of signs, depicted on it and using a computer program for searching a moment in time, when a given allocation of planets is really occurred. Relating historical background and some explanations are considered.
Sidorov, Milosh, Kelevedzhiev, Emil
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To Pliska: from the Ongal through Varna
2021After being successful against the Arabs, the Byzantine emperor Constantine V Kopronymos settled Syrians and Armenians in Thrace and refused to pay the tax. In response, the Bulgarians marched to Constantinople in 756. Then Constantine V ships attacked the Bulgarian Ongal (“water center”) with 500 and burned the land. In the following years he attacked
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