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<div dir="ltr"><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">As part of the series of seminars <i>"Insalate di Matematica"</i>, <b>Francesca Cottini</b>, PhD student at <span style="word-spacing:0px">the Università degli Studi di Milano-Bicocca</span><font style="word-spacing:0px"><span style="word-spacing:1px">, will deliver a talk. </span></font></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">According to the current Covid regulations, the seminar will be held in a <u>hybrid mode</u> <b>(more information below)</b>.</font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">Here the details:</font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u>Date and time</u>: <b>24th February 2022, 2:00 pm (CET)</b></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u><br></u></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><u>Title</u>: <i style="background-color:rgb(241,194,50)">"The Directed Polymer model: a “bridge” between Statistical Mechanics and Stochastic Analysis</i><span style="background-color:rgb(241,194,50)"><i>"</i></span><i><br><span style="background-color:rgb(241,194,50)"></span></i></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="2"><u style="word-spacing:1px">Abstract</u><span style="word-spacing:1px">:
How can we define the Directed Polymer model? What happens if we perturb
the model by adding a random disorder and how does this perturbation
affect the global shape of the polymer? We will answer these questions
by introducing the directed polymer in random environment. This
probabilistic model comes from Statistical Mechanics, but it is also
linked to the Stochastic Analysis world and in particular to the
Stochastic Heat Equation. This connection will give us the motivation to
present two Gaussian limits related to the directed polymer and some
tools for the proof of these results.
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</div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="2"><span style="font-family:Roboto,-apple-system,BlinkMacSystemFont,"Apple Color Emoji","Helvetica Neue",sans-serif"><br></span></font></span></div><div dir="ltr"><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><u style="word-spacing:1px">Keywords</u><span style="word-spacing:1px">: </span>Directed Polymer - random environment - partition function - Gaussian limits - polynomial chaos expansion<br></font></span><div><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div>
</div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><b><u>Information to attend in room 3014<br></u></b></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The
seminar will take place in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca. Unfortunately, only a limited
number of participants is allowed in presence, hence reservation is mandatory. You can reserve at the following link: <a href="https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0" target="_blank">https://sites.google.com/view/insalate-di-matematica/reservation?authuser=0</a> </font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">We also remind that you will be required to exhibit your green pass at the entrance of the building.</font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><b><u>Information to attend online</u></b></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">The seminar will be streamed via Webex platform at the following link: <a href="https://unimib.webex.com/unimib/j.php?MTID=m1b12166474424f0472cba19aa6190715" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m20b08f84769125d4a98fc8089209da5c</a><br></font></span></div><div style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">(<i><u>Password</u></i>: Insalate)<br></font></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><font size="2"><i><b>** We inform you that the talk will be recorded and uploaded on our website. If you join the talk <u>after the starting time</u>, we kindly ask you to ensure that <u>your microphone and webcam are turned off</u> **</b></i><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">You can find the poster of the event in the attachment. We are looking forward to seeing you! </font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" target="_blank">insalate.matematica@unimib.it</a>.</font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br></font></span></div><div dir="auto" style="word-spacing:1px"><span style="color:rgb(0,0,0)"><font size="2"><br>The organizers: Luigi Appolloni, Andrea Bisterzo, Alberto Cassella, Francesca Cottini, Ludovico Marini</font></span></div></div></div>
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