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<p class="gmail-MsoTitle" style="margin:0cm 0cm 0.0001pt;text-align:center;font-size:24pt;font-family:"New York",serif;font-weight:bold;text-decoration:underline"><span style="font-size:18pt;font-family:"Times New Roman",serif">SEMINARIO
DI MATEMATICA<span></span></span></p>

<p class="gmail-MsoTitle" style="margin:0cm 0cm 0.0001pt;text-align:center;font-size:24pt;font-family:"New York",serif;font-weight:bold;text-decoration:underline"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration:none"> </span></span></span></p>

<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Martedì 20 marzo 2018</span><span style="font-size:16pt;font-family:"Times New Roman",serif"><span></span></span></p>

<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">ore <span>11:00</span><span></span></span></p>

<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>

<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><u><span style="font-size:16pt;font-family:"Times New Roman",serif">Scuola Normale Superiore<span></span></span></u></p>

<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Pisa<span></span></span></p>

<p class="MsoNormal" align="center" style="margin:0cm 0cm 0.0001pt 9pt;text-align:center;line-height:18pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white">Aula Contini<span></span></span></p>

<p class="MsoNormal" style="margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><u><span style="font-size:16pt;font-family:"Times New Roman",serif"><span><span style="text-decoration:none"> </span></span></span></u></b></p>

<p class="MsoNormal" align="center" style="text-align:center;background:white;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span class="gmail-apple-converted-space"><b><span style="font-size:24pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white"> </span></b></span><span style="font-size:9.5pt;font-family:Arial,sans-serif;color:rgb(34,34,34);background:white"> </span><b><span style="font-size:22pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white">Benjamin Gess</span></b><b><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"><span></span></span></b></p>

<p class="MsoNormal" align="center" style="text-align:center;background:white;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><i><span lang="EN-US" style="font-family:"Times New Roman",serif;color:rgb(34,34,34)">(</span></i><i><span style="font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white">Max Planck Institute, Leipzig</span></i><i><span lang="EN-US" style="font-family:"Times New Roman",serif;color:rgb(34,34,34)">)<span></span></span></i></p>

<pre style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:10pt;font-family:"Courier New""><b><i><span lang="EN-US" style="font-size:12pt;font-family:"Times New Roman",serif;color:rgb(34,34,34);background:white"><span> </span></span></i></b></pre>

<p class="MsoNormal" align="center" style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">terrà un
seminario dal titolo:<span></span></span></p>

<p class="MsoNormal" align="center" style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>

<p class="MsoNormal" align="center" style="text-align:center;background:white;margin:0cm 0cm 0.0001pt"><b style=""><font face="times new roman, serif" style="" size="4"><span lang="EN-US" style="color:black">“ </span><span class="gmail-m-136056672127998715gmail-m-6470335947093970956gmail-il" style=""><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">Path</span></span><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">-</span><span class="gmail-m-136056672127998715gmail-m-6470335947093970956gmail-il" style=""><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">by</span></span><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">-</span><span class="gmail-m-136056672127998715gmail-m-6470335947093970956gmail-il" style=""><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">path</span></span><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px"> </span><span class="gmail-m-136056672127998715gmail-m-6470335947093970956gmail-m6631200005953131794gmail-m-2333880000262371354gmail-m1081993091016970702gmail-il" style=""><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">regulariza<wbr>tion</span></span><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px"> </span><span class="gmail-m-136056672127998715gmail-m-6470335947093970956gmail-il" style=""><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px">by</span></span><span style="font-variant-ligatures:normal;font-variant-caps:normal;text-align:start;text-decoration-style:initial;text-decoration-color:initial;word-spacing:0px"> <span class="gmail-m-136056672127998715gmail-m-6470335947093970956gmail-il">noise</span> for
scalar conservation laws</span>”</font></b><b style="font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span lang="EN-US" style="font-size:22pt;font-family:"Times New Roman",serif;color:rgb(34,34,34)"><span></span></span></b></p>

<p class="MsoNormal" align="center" style="text-align:center;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><span lang="EN-US" style="font-size:20pt;font-family:"Times New Roman",serif"><span> </span></span></b></p>

<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><b><span lang="EN-US" style="font-family:"Times New Roman",serif">Abstract:<span></span></span></b></p>

<p class="MsoNormal" style="text-align:justify;background:white;margin:0cm 0cm 0.0001pt;font-family:TradeGothicPl-CondEighteen"><i style=""><span lang="EN-US" style="font-family:"Times New Roman",serif;color:black">In this talk we will revisit regularizing effects
of noise for nonlinear SPDE. In this regard we are interested in
phenomena where the inclusion of stochastic perturbations leads to increased
regularity of solutions as compared to the unperturbed, deterministic case.
Closely related, we study effects of production of uniqueness of
solutions by noise, i.e. instances of SPDE having a unique solution, while
non-uniqueness holds for the deterministic counterparts. The talk will
concentrate on a path-by-path regularization by noise result in
the case of nonlinear scalar conservation laws. In particular, this
proves regularizing properties for scalar conservation laws
driven by fractional Brownian motion and generalizes the respective
results obtained in [G., Souganidis; Comm. Pure Appl. Math. (2017)]. We show
that $(\rho,\gamma)$-irregularity is a sufficient path-by-path condition
implying improved regularity. In addition, we introduce a new path-by-path scaling
property which is also shown to be sufficient to imply regularizing effects</span></i><span lang="EN-US" style="font-family:Arial,sans-serif;color:black">.</span><span lang="EN-US" style="font-family:Arial,sans-serif;color:rgb(34,34,34)"><span></span></span></p>

<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-family:TradeGothicPl-CondEighteen"><span lang="EN-US" style="font-family:"Times New Roman",serif"> </span></p>

<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Tutti gli interessati sono invitati a
partecipare.<span></span></span></p>

<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>

<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif">Classe di Scienze Matematiche e Naturali<span></span></span></p>

<p class="MsoNormal" style="text-align:justify;margin:0cm 0cm 0.0001pt;font-size:12pt;font-family:TradeGothicPl-CondEighteen"><span style="font-size:16pt;font-family:"Times New Roman",serif"><span> </span></span></p>





<br clear="all"><div><div class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div>Valeria Giuliani</div><div>Scuola Normale Superiore</div><div>Servizio alla Didattica e Allievi</div><div>tel. 050 509260</div><div>Piazza dei Cavalieri, 7</div><div>56126 Pisa</div><div>E-mail: <a href="mailto:valeria.giuliani@sns.it" target="_blank">valeria.giuliani@sns.it</a></div><div>E-mail: <a href="mailto:classi@sns.it" target="_blank">classi@sns.it</a></div></div></div></div>
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