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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/594/'>De Palma</a></p>
<p><b>New papers by:</b> <a >Matias</a>, <a href='/person/260/' >Goldman</a>, <a href='/person/201/' >Santambrogio</a>, <a href='/person/42/' >Morandotti</a>, <a href='/person/973/' >Ruffini</a>, <a >Carita</a>, <a >Carrillo</a>, <a href='/person/9/' >Jimenez</a>, <a >Quincampoix</a>, <a >Owen</a></p>
<p><b>Modified papers by:</b> <a href='/person/1152/'>Di Marino</a>, <a href='/person/642/'>Squassina</a>, <a href='/person/1283/'>Han</a>, <a href='/person/260/'>Goldman</a>, <a href='/person/262/'>Buttazzo</a>, <a >Benamou</a>, <a href='/person/9/'>Jimenez</a>, <a href='/person/1810/'>Nardini</a>, <a href='/person/147/'>De Pascale</a>, <a href='/person/27/'>Cavalletti</a>, <a >Yang</a>, <a href='/person/166/'>Morini</a>, <a href='/person/2184/'>Saracco</a>, <a href='/person/1846/'>Nenna</a>, <a >Slastikov</a>, <a href='/person/1084/'>Barilari</a>, <a href='/person/189/'>Orlandi</a>, <a href='/person/965/'>Mondino</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/2250/'>Bonafini</a>, <a href='/person/1227/'>Rizzi</a>, <a href='/person/76/'>Marchese</a>, <a href='/person/973/'>Ruffini</a>, <a >Blanchet</a>, <a href='/person/96/'>Lazzaroni</a>, <a >Quincampoix</a>, <a >Carlier</a>, <a href='/person/239/'>Maggi</a>, <a href='/person/1394/'>Cristoferi</a>, <a href='/person/1269/'>Gerolin</a>, <a href='/person/374/'>Oudet</a>, <a href='/person/119/'>Novaga</a>, <a >Cardaliaguet</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/404/'>4th Conference on Recent Trends in Nonlinear Phenomena</a></b><br />
Mon 18 September 2017 - Wed 20 September 2017<br />
Messina<br /></p></li>
<li><p>
<b><a href='/event/423/'>Nonlinear Days in Turin</a></b><br />
Thu 21 September 2017 - Fri 22 September 2017<br />
Turin<br /></p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Tue 19 September 2017</h3><ul>
<li><p>
Giacomo De Palma: <b><a href='/seminar/594/'>The quantum conditional Entropy Power Inequality</a></b><br />
Aula Seminari Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>Abstract.
The Entropy Power Inequality states that the Shannon differential entropy of the convolution of two probability densities in R<sup>n</sup> with given entropies is minimum when they are both Gaussian. This functional inequality is fundamental in information theory and was conjectured by C. Shannon himself, although he only proved that Gaussian densities are critical points; a full proof was later given by A. Stam, using an interpolation argument along the heat semigroup.
</p>
<p>In this talk, we illustrate a quantum version of the Entropy Power Inequality, where probability densities on R<sup>n</sup> are replaced with quantum states of the electromagnetic radiation, the Shannon entropy is replaced with the von Neumann entropy and the convolution operation with a natural ``beam-splitter'' operation. Moreover, we allow for the presence of a conditional ``external memory'', which would add no difficulty in the commutative scenario, but is rather delicate in the quantum scenario. The difficulty is due to the existence of entanglement, i.e. the existence of joint quantum states of the electromagnetic radiation and the memory where the two systems cannot be described independently, but must be necessarily described with a joint global state. Our proof is based on a quantum version of Stam's interpolation, where new ideas must be introduced to handle non-commutative features.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Carrillo, Santambrogio:</b> <a href='/paper/3575/'>$L^\infty$ estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems</a></p>
<p><b> Jimenez, Quincampoix:</b> <a href='/paper/3576/'>Hamilton Jacobi Isaacs equations for Differential Games with asymmetric information on probabilistic initial condition</a></p>
<p><b> Carita, Matias, Morandotti, Owen:</b> <a href='/paper/3577/'>Dimension reduction in the context of structured deformations</a></p>
<p><b> Goldman, Ruffini:</b> <a href='/paper/3578/'>Equilibrium shapes of charged liquid droplets and related problems: (mostly) a review</a></p>
<h2>Modified Papers</h2>
<p><b> Buttazzo, Jimenez, Oudet:</b> <a href='/paper/1530/'>An optimization problem for mass transportation with congested dynamics</a></p>
<p><b> Cardaliaguet, Quincampoix, Jimenez:</b> <a href='/paper/2065/'>Pure and Random strategies in differential game with incomplete informations</a></p>
<p><b> De Pascale, Jimenez:</b> <a href='/paper/2597/'>Duality theory and optimal transport for sand piles growing in a silos</a></p>
<p><b> Di Marino, Gerolin, Nenna:</b> <a href='/paper/2719/'>Optimal transportation theory for repulsive costs</a></p>
<p><b> Marchese:</b> <a href='/paper/2845/'>Lusin type theorems for Radon measures</a></p>
<p><b> Goldman, Novaga, Ruffini:</b> <a href='/paper/2953/'>On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint</a></p>
<p><b> Brasco, Squassina, Yang:</b> <a href='/paper/2959/'>Global compactness results for nonlocal problems</a></p>
<p><b> Benamou, Carlier, Nenna:</b> <a href='/paper/3102/'>A Numerical Method to solveMulti-Marginal Optimal Transport Problems with Coulomb Cost</a></p>
<p><b> Blanchet, Carlier, Nenna:</b> <a href='/paper/3163/'>Computation of Cournot-Nash equilibria by entropic regularization</a></p>
<p><b> Saracco:</b> <a href='/paper/3194/'>Weighted Cheeger sets are domains of isoperimetry</a></p>
<p><b> Bonafini, Orlandi, Oudet:</b> <a href='/paper/3201/'>Variational approximation of functionals defined on 1-dimensional connected sets: the planar case</a></p>
<p><b> Cristoferi:</b> <a href='/paper/3270/'>Exact solutions for the denoising problem of piecewise constant images in dimension one</a></p>
<p><b> Han, Mondino:</b> <a href='/paper/3309/'>Angles between curves in metric measure spaces</a></p>
<p><b> Barilari, Rizzi:</b> <a href='/paper/3338/'>Sharp measure contraction property for generalized H-type Carnot groups</a></p>
<p><b> Goldman:</b> <a href='/paper/3393/'>Self-similar minimizers of a branched transport functional</a></p>
<p><b> Morini, Slastikov:</b> <a href='/paper/3417/'>Reduced models for ferromagnetic thin films with periodic surface roughness</a></p>
<p><b> Cavalletti, Maggi, Mondino:</b> <a href='/paper/3514/'>Quantitative isoperimetry à la Levy-Gromov</a></p>
<p><b> Lazzaroni, Nardini:</b> <a href='/paper/3564/'> Analysis of a dynamic peeling test with speed-dependent toughness</a></p>
<h2>Open Positions</h2>
<p><a href="/position/270/">Tenure-track position in Analysis, Universita' di Torino</a> (deadline: Thu 21 September 2017)</p>
<p><a href="/position/271/">Calculus of Variations and PDEs - Rome, Sapienza </a> (deadline: Wed 27 September 2017)</p>
<p><a href="/position/269/">Associate Professorship (W2-Position) for Applied Mathematics - University of Münster, Germany</a> (deadline: Sat 30 September 2017)</p>
<p><a href="/position/272/">14 PhD Positions in Vienna</a> (deadline: Sat 30 September 2017)</p>
<p><a href="/position/273/">Two research positions at WWU Münster (Germany)</a> (deadline: Sat 30 September 2017)</p>
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