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<h1>cvgmt weekly bulletin</h1>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/724/'>van den Berg</a></p>
<p><b>New papers by:</b> <a href='/person/120/' >Solombrino</a>, <a href='/person/1217/' >Scilla</a>, <a href='/person/1642/' >Crismale</a></p>
<p><b>Modified papers by:</b> <a href='/person/228/'>Magnani</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/1266/'>Zucco</a>, <a >Gloria</a>, <a href='/person/977/'>Mazzoleni</a>, <a href='/person/114/'>Tilli</a>, <a href='/person/183/'>Cicalese</a>, <a href='/person/1692/'>Ruf</a>, <a href='/person/1949/'>Comi</a></p>
<h2>Seminars next week</h2>
<h3>Wed 8 January 2020</h3><ul>
<li><p>
Michiel van den Berg (University of Bristol): <b><a href='/seminar/724/'>Efficiency and localisation for the first Dirichlet eigenfunction</a></b><br />
Scuola Normale Superiore, Aula Bianchi, 10:00<br /> </p>
<div style="font-size: smaller;"><p>Bounds are obtained for the efficiency or mean to peak ratio $E(\Omega)$ for the first Dirichlet eigenfunction
for open, connected sets $\Omega$ with finite measure in Euclidean space
$\R^m$. It is shown that (i) localisation implies vanishing efficiency, (ii) a vanishing upper bound for the efficiency implies localisation, (iii) localisation occurs for a wide class of elongating bounded, open, convex and planar sets, (iv) the efficiency of any quadrilateral with perpendicular diagonals of lengths $1$, and $n$ respectively is $O(n^{-2/3}\log n)$ as $n\rightarrow\infty$, and (v) the efficiency of $\big\{(x_1,x_2):(2<br>n^{-1}x_1<br>\big)^{\alpha}+(2<br>x_2<br>)^{\alpha}<1\big\}, 1\le \alpha<\infty,$ is $O\big(n^{-2/(\alpha+2)}(\log n)^{\max\{1/\alpha,1/2\}}\big),\, n\rightarrow\infty.$
This disproves some claims in the literature. A key technical tool is the Feynman-Kac formula.Joint work with F. Della Pietra, G. di Blasio, N. Gavitone.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Crismale, Scilla, Solombrino:</b> <a href='/paper/4554/'>A derivation of Griffith functionals from discrete finite-difference models</a></p>
<h2>Modified Papers</h2>
<p><b> Comi, Magnani:</b> <a href='/paper/3888/'>The Gauss-Green theorem in stratified groups</a></p>
<p><b> Cicalese, Gloria, Ruf:</b> <a href='/paper/4019/'>From statistical polymer physics to nonlinear elasticity</a></p>
<p><b> Tilli, Zucco:</b> <a href='/paper/4297/'>Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues</a></p>
<p><b> Brasco, Mazzoleni:</b> <a href='/paper/4518/'>On principal frequencies, volume and inradius in convex sets</a></p>
<h2>Open Positions</h2>
<p><b>(new)</b> <a href="/position/457/">postdoc position at the National Taiwan Normal University (with Ulrich Menne)</a> (deadline: Fri 10 January 2020)</p>
<p><a href="/position/446/">Faculty Positions at Radboud University, Nijmegen, NL.</a> (deadline: Sun 12 January 2020)</p>
<p><a href="/position/453/">Lecturer/Senior Lecturer in Applied and Numerical Analysis at Imperial College London</a> (deadline: Wed 15 January 2020)</p>
<p><b>(new)</b> <a href="/position/456/">Three-year PostDoc position (Applied Analysis), TU Dresden, Germany</a> (deadline: Fri 17 January 2020)</p>
<p><a href="/position/438/">Two-year postdoctoral position in geometric analysis at University of Paris</a> (deadline: Sat 18 January 2020)</p>
<p><a href="/position/451/">Postdoc postition (2 years) at Warwick in ERC group of Filip Rindler</a> (deadline: Mon 20 January 2020)</p>
<p><a href="/position/454/">2-year postdoc position ERC group on "Singularities and Compactness in Nonlinear PDEs"</a> (deadline: Mon 20 January 2020)</p>
<p><a href="/position/455/">PhD in PDE analysis, TU Delft</a> (deadline: Sat 29 February 2020)</p>
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