<div dir="ltr"><div class="gmail_default" style="font-family:verdana,sans-serif;font-size:small"><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;line-height:19.2px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font size="4"><b><u><span style="line-height:27px;font-family:"times new roman",serif">TED University, Basic Sciences Unit, “TEDU MATH SEMINARS</span></u></b><u><span style="line-height:27px;font-family:"times new roman",serif">”</span></u></font><span style="line-height:19.2px;font-family:"times new roman",serif"><font size="4">;</font><span style="font-size:12pt"></span></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"><br></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Türker BIYIKOĞLU</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"> will give a research talk titled, “<i>Necessity and sufficient graph structural conditions for plurality of opinion in equilibrium of opinion dynamics”.</i></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"><i><br></i></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Abstract</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">:</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif;color:black">Opinion dynamics is widely used in different areas from physics to social networks. On the other hand, the complex dynamical system properties of opinion dynamics is not well understood. In opinion dynamics, every system element has an initial opinion and this opinion is updated at time <i>t+1</i> by an update function depending on its neighbors opinion at time <i>t</i>. In a bounded confidence model, two elements interact with each other, if their opinion difference is less than a given threshold value.  If the system reaches the equilibrium in a bounded confidence model, then either two neighbors have the same opinion or their opinion difference is greater than given threshold.<span class="gmail-m_-1934817961965646521gmail-apple-converted-space"> </span>I will talk about necessity and sufficient graph structural properties and conditions for plurality of opinion in equilibrium of bounded confidence opinion dynamics.</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif;color:black">This is a joint work with Kaan Öztürk.<span class="gmail-m_-1934817961965646521gmail-apple-converted-space"> </span></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><span class="gmail-m_-1934817961965646521gmail-apple-converted-space"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif;color:black"> </span></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">DATE</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">: 23.02.2017</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">TIME</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">: 16:00</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">PLACE</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">: TED University, A122</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"> </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Attached please find the announcement. All interested are welcome.</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"><br></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">******************************</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"><br></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;font-size:12.8px;line-height:19.2px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><font size="4"><b><u><span style="line-height:27px;font-family:"times new roman",serif">TED Üniversitesi, Temel Bilimler Birimi, “TEDU MATH SEMINARS</span></u></b><u><span style="line-height:27px;font-family:"times new roman",serif">”</span></u></font><span style="line-height:19.2px;font-family:"times new roman",serif"><font size="4">;</font><span style="font-size:12pt"></span></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"><br></span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Türker BIYIKOĞLU</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">, “<i>Kanaat dinamiğinde dengede kanaat çeşitliliği için gerekli ve yeter yapısal koşullar</i>” başlıklı araştırma konuşmasını verecektir.</span></p><p class="MsoNormal" align="center" style="margin-bottom:0.0001pt;text-align:center;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"> </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Özet</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">:</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Kanaat dinamiği fizik, sosyal ağlarda ve diğer bir çok alanda kullanılmasına rağmen karmaşık dinamik sistem davranışları henüz tam olarak anlaşılamamıştır. Kanaat dinamiğinde sistemin birim elemanları bir başlangıçkanaati ile başlar.  Elemanların <i>t+1</i> zamandaki kanaat değerleri komşu elemanların <i>t</i> zamandaki kanaat değerlerine bağlı bir fonksiyon ile güncellenir. Sınırlı güvenilir modellerde, iki elemanın etkileşime geçebilmesi için kanaat değerlerinin farkının belirli bir eşik değerini geçmemesi gerekir. Bu tür modellerde sistem dengeye ulaştığında her iki komşu elemanın ya aynı kanaatte olması yada kanaat değerlerinin farkının eşik değerinden büyük olması şartı aranır. Konuşmamda sistemin sınırlı güvenilir modellerde denge durumunda kanat çeşitliliği için gerekli ve yeterli yapısal koşul ve özelliklerden bahsedeceğim.</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Bu çalışma Kaan Öztürk ile birlikte yapılmıştır.</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;text-align:justify;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"> </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">TARİH</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">: 23.02.2017</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">ZAMAN</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">: 16:00</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">YER</span></b><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">: TED Üniversitesi, A122</span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif"> </span></p><p class="MsoNormal" style="margin-bottom:0.0001pt;line-height:19.5px"><span style="font-size:12pt;line-height:24px;font-family:"times new roman",serif">Konuşmanın duyurusu ektedir. Tüm ilgilenenler davetlidir.</span></p></div><div><br></div>-- <br><div class="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr">

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Kaymakçalan, PhD.</font></p><p style="margin:0in 0in 0pt;line-height:normal"><span style="font-family:verdana,sans-serif;font-size:small">TEDU</span></p><p style="margin:0in 0in 0pt;line-height:normal"><span style="font-family:verdana,sans-serif;font-size:small">Basic Sciences Unit</span></p><p style="margin:0in 0in 0pt;line-height:normal"><span style="font-family:verdana,sans-serif;font-size:small">A221</span></p><p style="margin:0in 0in 0pt;line-height:normal"><font face="verdana, sans-serif" size="2">Ankara-TURKEY</font></p><p style="margin:0in 0in 0pt;line-height:normal"><font face="verdana, sans-serif" size="2"><br></font></p>

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